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All the ideas for 'Thinking About Mathematics', 'Logic (Encyclopedia I)' and 'Potentiality'

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95 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
True philosophy aims at absolute unity, while our understanding sees only separation [Hegel]
     Full Idea: Everything deserving the name of philosophy has constantly been based on the consciousness of an absolute unity, where the understanding sees and accepts only separation.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §213)
     A reaction: Puzzled by the role of 'understanding' here. I tend to cite that as the highest aspiration of philosophy. Hegel seems to offer a higher understanding of unity, and a weaker analytic understanding, which is part of our limited psychology.
1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
Free thinking has no presuppositions [Hegel]
     Full Idea: Thinking that is free is without presuppositions.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §41 Add1)
     A reaction: Fat chance, I would have thought. Hegel's project was indeed to try to get right to the bottom of the presuppositions. My picture is always of holding one thing presupposed while you examine another, and then switching to other presuppositions.
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
The ideal of reason is the unification of abstract identity (or 'concept') and being [Hegel]
     Full Idea: Abstract identity (which is what here is also called 'concept') and being are the two moments that reason seeks to unify; this unification is the Ideal of reason.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §49)
     A reaction: Not sure I understand this, but I connect it to Aristotle's approach to the problem of being, which was to abandon the head-on approach, and aim to understand the identities of particulars and kinds.
1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Older metaphysics naively assumed that thought grasped things in themselves [Hegel]
     Full Idea: The older metaphysics has the naïve presupposition that thinking grasps what things are in-themselves, that things only are what they genuinely are when they are captured in thought.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §28 Add)
     A reaction: His 'older' metaphysics is prior to Kant's critique. The less naïve version is more aware of antinomies and dialectical conflicts within thought.
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Logic is metaphysics, the science of things grasped in thoughts [Hegel]
     Full Idea: Logic coincides with metaphysics, with the science of things grasped in thoughts.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §24), quoted by Stephen Houlgate - An Introduction to Hegel 02 'Logic'
     A reaction: Not a very clear definition, given that thinking about a table appears to be a 'thing grasped in thought'. Presumably it refers to things which can only be grasped in thought, which seems to make it entirely a priori.
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
We must break up the rigidity that our understanding has imposed [Hegel]
     Full Idea: The battle of reason is the struggle to break up the rigidity to which the understanding has reduced everything.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], I §80Z p.115), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.7
     A reaction: This sounds like a combination of Nietzsche and later Wittgenstein, and may be one of the ideas that launches 'continental' philosophy. Recent French thinkers talk continually of 'liberation'.
2. Reason / A. Nature of Reason / 3. Pure Reason
Let thought follow its own course, and don't interfere [Hegel]
     Full Idea: Let thought follow its own course; and I think badly whenever I add something of my own.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §24 Add 2), quoted by Stephen Houlgate - Hegel p.100
     A reaction: The idea that reason has a course of its own is a mega-assumption, which I would only accept after a lot of persuasion, which I doubt that Hegel can provide. The modern analytic idea of metaphysics as logic has a similar basis.
2. Reason / A. Nature of Reason / 5. Objectivity
Categories create objective experience, but are too conditioned by things to actually grasp them [Hegel]
     Full Idea: It is the categories that elevate mere perception into objectivity, into experience; but these concepts ...are conditioned by the given material. ...Hence the understanding, or cognition through categories, cannot become cognizant of things-in-themselves.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §43-4)
     A reaction: As one often fears with Hegel, this sounds like a deep insight, but is less persuasive when translated into simpler English (if I've got it right!). Being 'conditioned by the material' strikes me as just what is needed for good categories.
2. Reason / B. Laws of Thought / 3. Non-Contradiction
If truth is just non-contradiction, we must take care that our basic concepts aren't contradictory [Hegel]
     Full Idea: If truth were nothing more than lack of contradiction, one would have to examine first of all, with regard to each concept, whether it does not on its own account, contain an inner contradiction.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §33 Rem)
     A reaction: This is a very nice thought, which modern analytic philosophers, steeped in logic, should think about. It is always presumed that a contradiction is between a proposition and its negation, not some inner feature.
2. Reason / C. Styles of Reason / 1. Dialectic
Older metaphysics became dogmatic, by assuming opposed assertions must be true and false [Hegel]
     Full Idea: The older metaphysics became dogmatism because, given the nature of finite determinations, it had to assume that of two opposed assertions (of the kind that those propositions were) one must be true and the other false.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §32)
     A reaction: While dialethism in logic looks very dubious to me, I have every sympathy with Hegel when it comes to the reasonings of ordinary language. There it is much harder to know whether you are addressing truly opposed assertions.
Dialectic is seen in popular proverbs like 'pride comes before a fall' [Hegel]
     Full Idea: In the domain of individual ethics, we find the consciousness of dialectic in those universally familiar proverbs 'pride goes before a fall' and 'too much wit outwits itself'. ...Joy relieves itself in tears, and melancholy can be revealed in a smile.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §81), quoted by Stephen Houlgate - An Introduction to Hegel 02 'The Method'
     A reaction: 'Too clever by half' is the English version. Hegel's dialectic suggests that each concept somehow implies its opposite, rather than a mere mercurial drift from one extreme to the other. Most pride doesn't lead to a fall.
Dialectic is the moving soul of scientific progression, the principle which binds science together [Hegel]
     Full Idea: The dialectical constitutes the moving soul of scientific progression, and it is the principle through which alone immanent coherence and necessity enter into the content of science. ..[Add 1] It is the principle of all motion, of all life.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §81)
Socratic dialectic is subjective, but Plato made it freely scientific and objective [Hegel]
     Full Idea: It is in the Platonic philosophy that dialectic first occurs in a form which is freely scientific, and hence also objective. With Socrates, dialectical thinking still has a predominantly subjective shape, consistent with his irony.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §81 Add1)
     A reaction: I don't understand how dialectic can be 'objective', given that it is a method rather than a belief. Plato certainly seems to elevate dialectic into something almost mystical, because of what is said to be within its power.
2. Reason / E. Argument / 1. Argument
Slippery slope arguments are challenges to show where a non-arbitrary boundary lies [Vetter]
     Full Idea: Slippery slope arguments are not intended as demonstrative arguments, but rather as a challenge to show where a boundary is, and to show that the boundary is not arbitrary.
     From: Barbara Vetter (Potentiality [2015], 5.3.3)
     A reaction: [extracted from details of its context] You could respond by saying that a slippery slope levels off, rather than hitting a wall or plunging to perdition.
3. Truth / A. Truth Problems / 2. Defining Truth
Superficial truth is knowing how something is, which is consciousness of bare correctness [Hegel]
     Full Idea: Truth is at first taken to mean that I know how something is. This is truth, however, only in reference to consciousness; it is formal truth, bare correctness.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §213)
     A reaction: I would translate this idea as saying that bare correctness is conscious awareness of the truthmaker for some statement. Hegel then offers a 'deeper' account of the nature of truth. I would say awareness is quite separate from the concept of truth.
3. Truth / A. Truth Problems / 5. Truth Bearers
In Hegel's logic it is concepts (rather than judgements or propositions) which are true or false [Hegel, by Scruton]
     Full Idea: The terms of Hegel's logic are not judgements or propositions, but rather concepts: and it is concepts, in this view, that are true or false.
     From: report of Georg W.F.Hegel (Logic (Encyclopedia I) [1817]) by Roger Scruton - Short History of Modern Philosophy Ch.12
     A reaction: Quite alien to normal studies of logic, but I can make sense of a correspondence theory of truth for concepts, which might be more interesting than normal propositional or predicate logic. Does the concept of, say, a 'natural law' correspond to anything?
3. Truth / A. Truth Problems / 7. Falsehood
In the deeper sense of truth, to be untrue resembles being bad; badness is untrue to a thing's nature [Hegel]
     Full Idea: When truth is viewed in the deeper sense, to be untrue means much the same as to be bad. A bad man is an untrue man, and man who does not behave as his notion or his vocation requires.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §213)
     A reaction: See Idea 19071 for the 'deeper sense'. This seems to confirm that Hegel's deeper concept of truth resembles authenticity. I guess it will be something fulfilling the essence of the thing. Doctors must be proper doctors. Gold must be true gold?
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
The deeper sense of truth is a thing matching the idea of what it ought to be [Hegel]
     Full Idea: Truth in the deeper sense is the identity between objectivity and the notion. It is in this deeper sense of truth that we speak of a true state or work of art. These are true if they are as they ought to be (their reality corresponds to their notion).
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §213)
     A reaction: This seems to be a correspondence theory, but not as we know it, Jim. He seems to have a value built into truth, which sounds to me like existentialist 'authenticity'. I like what he is saying, but I would analyse it into two or more components.
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / c. System D
Deontic modalities are 'ought-to-be', for sentences, and 'ought-to-do' for predicates [Vetter]
     Full Idea: Deontic modality can be divided into sentence-modifying 'ought-to-be' modals, and predicate-modifying 'ought-to-do' modals.
     From: Barbara Vetter (Potentiality [2015], 6.9.2)
     A reaction: [She cites Brennan 1993] These two seem to correspond to what is 'good' (ought to be), and what is 'right' (ought to do). Since I like that distinction, I also like this one.
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
S5 is undesirable, as it prevents necessities from having contingent grounds [Vetter]
     Full Idea: Wedgwood (2007:220) argues that S5 is undesirable because it excludes that necessary truths may have contingent grounds.
     From: Barbara Vetter (Potentiality [2015], 6.4 n5)
     A reaction: Cameron defends the possibility of necessity grounded in contingency, against Blackburn's denial of it. It's interesting that we choose the logic on the basis of the metaphysics. Shouldn't there be internal reasons for a logic's correctness?
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Barcan formula endorses either merely possible things, or makes the unactualised impossible [Vetter]
     Full Idea: Subscribers to the Barcan formula must either be committed to the existence of mere possibilia (such as possible unicorns), or deny many unactualised possibilities of existence.
     From: Barbara Vetter (Potentiality [2015], 7.5)
     A reaction: It increasingly strikes me that the implications of the Barcan formula are ridiculous. Williamson is its champion, but I'm blowed if I can see why. What could a possible unicorn be like? Without them, must we say unicorns are impossible?
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded middle is the maxim of definite understanding, but just produces contradictions [Hegel]
     Full Idea: The law of excluded middle is ...the maxim of the definite understanding, which would fain avoid contradiction, but in doing so falls into it.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], p.172), quoted by Timothy Williamson - Vagueness 1.5
     A reaction: Not sure how this works, but he would say this, wouldn't he?
Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
     Full Idea: Intuitionists in mathematics deny excluded middle, because it is symptomatic of faith in the transcendent existence of mathematical objects and/or the truth of mathematical statements.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
     A reaction: There are other problems with excluded middle, such as vagueness, but on the whole I, as a card-carrying 'realist', am committed to the law of excluded middle.
5. Theory of Logic / L. Paradox / 3. Antinomies
The idea that contradiction is essential to rational understanding is a key modern idea [Hegel]
     Full Idea: The thought that the contradiction which is posited by the determinations of the understanding in what is rational is essential and necessary, has to be considered one of the most important and profound advances of the philosophy of modern times.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §48)
     A reaction: This is the aspect of Kant's philosophy which launched the whole career of Hegel. Hegel is the philosopher of the antinomies. Graham Priest is his current representative on earth.
Tenderness for the world solves the antinomies; contradiction is in our reason, not in the essence of the world [Hegel]
     Full Idea: The solution to the antinomies is as trivial as they are profound; it consists merely in a tenderness for the things of this world. The stain of contradiction ought not to be in the essence of what is in the world; it must belong only to thinking reason.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §48 Rem)
     A reaction: A rather Wittgensteinian remark. I love his 'tenderness for the things of this world'! I'm not clear why our thinking should be considered to be inescapably riddled with basic contradictions, as Hegel seems to imply. Just make more effort.
Antinomies are not just in four objects, but in all objects, all representations, all objects and all ideas [Hegel]
     Full Idea: The main point that has to be made is that antinomy is found not only in Kant's four particular objects taken from cosmology, but rather in all objects of all kinds, in all representations, concepts and ideas.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §48 Rem)
     A reaction: I suppose Heraclitus and Empedocles, with their oppositional accounts of reality, are the ancestors of this worldview. I just don't feel that sudden flood of insight from this idea of Hegel that comes from some of the other great philsophical theories.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
     Full Idea: It is surely wise to identify the positions in the natural numbers structure with their counterparts in the integer, rational, real and complex number structures.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.2)
     A reaction: The point is that this might be denied, since 3, 3/1, 3.00.., and -3*i^2 are all arrived at by different methods of construction. Natural 3 has a predecessor, but real 3 doesn't. I agree, intuitively, with Shapiro. Russell (1919) disagreed.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a formal definition of a converging sequence. [Shapiro]
     Full Idea: A sequence a1,a2,... of rational numbers is 'Cauchy' if for each rational number ε>0 there is a natural number N such that for all natural numbers m, n, if m>N and n>N then -ε < am - an < ε.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 7.2 n4)
     A reaction: The sequence is 'Cauchy' if N exists.
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Categories are the best foundation for mathematics [Shapiro]
     Full Idea: There is a dedicated contingent who hold that the category of 'categories' is the proper foundation for mathematics.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.3 n7)
     A reaction: He cites Lawvere (1966) and McLarty (1993), the latter presenting the view as a form of structuralism. I would say that the concept of a category will need further explication, and probably reduce to either sets or relations or properties.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro]
     Full Idea: Zermelo said that for each number n, its successor is the singleton of n, so 3 is {{{null}}}, and 1 is not a member of 3. Von Neumann said each number n is the set of numbers less than n, so 3 is {null,{null},{null,{null}}}, and 1 is a member of 3.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.2)
     A reaction: See Idea 645 - Zermelo could save Plato from the criticisms of Aristotle! These two accounts are cited by opponents of the set-theoretical account of numbers, because it seems impossible to arbitrate between them.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro]
     Full Idea: The structuralist vigorously rejects any sort of ontological independence among the natural numbers; the essence of a natural number is its relations to other natural numbers.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.1)
     A reaction: This seems to place the emphasis on ordinals (what order?) rather than on cardinality (how many?). I am strongly inclined to think that this is the correct view, though you can't really have relations if there is nothing to relate.
A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro]
     Full Idea: A 'system' is a collection of objects with certain relations among them; a 'pattern' or 'structure' is the abstract form of a system, highlighting the interrelationships and ignoring any features they do not affect how they relate to other objects.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.1)
     A reaction: Note that 'ignoring' features is a psychological account of abstraction, which (thanks to Frege and Geach) is supposed to be taboo - but which I suspect is actually indispensable in any proper account of thought and concepts.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro]
     Full Idea: The thesis that principles of arithmetic are derivable from the laws of logic runs against a now common view that logic itself has no ontology. There are no particular logical objects. From this perspective logicism is a non-starter.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 5.1)
     A reaction: This criticism strikes me as utterly devastating. There are two routes to go: prove that logic does have an ontology of objects (what would they be?), or - better - deny that arithmetic contains any 'objects'. Or give up logicism.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro]
     Full Idea: Term Formalism is the view that mathematics is just about characters or symbols - the systems of numerals and other linguistic forms. ...This will cover integers and rational numbers, but what are real numbers supposed to be, if they lack names?
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.1.1)
     A reaction: Real numbers (such as pi and root-2) have infinite decimal expansions, so we can start naming those. We could also start giving names like 'Harry' to other reals, though it might take a while. OK, I give up.
Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro]
     Full Idea: Game Formalism likens mathematics to chess, where the 'content' of mathematics is exhausted by the rules of operating with its language. ...This, however, leaves the problem of why the mathematical games are so useful to the sciences.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.1.2)
     A reaction: This thought pushes us towards structuralism. It could still be a game, but one we learned from observing nature, which plays its own games. Chess is, after all, modelled on warfare.
Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro]
     Full Idea: The Deductivist version of formalism (sometimes called 'if-thenism') says that the practice of mathematics consists of determining logical consequences of otherwise uninterpreted axioms.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.2)
     A reaction: [Hilbert is the source] More plausible than Term or Game Formalism (qv). It still leaves the question of why it seems applicable to nature, and why those particular axioms might be chosen. In some sense, though, it is obviously right.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro]
     Full Idea: Critics commonly complain that the intuitionist restrictions cripple the mathematician. On the other hand, intuitionist mathematics allows for many potentially important distinctions not available in classical mathematics, and is often more subtle.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 7.1)
     A reaction: The main way in which it cripples is its restriction on talk of infinity ('Cantor's heaven'), which was resented by Hilbert. Since high-level infinities are interesting, it would be odd if we were not allowed to discuss them.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro]
     Full Idea: I classify conceptualists according to what they say about properties or concepts. If someone classified properties as existing independent of language I would classify her as a realist in ontology of mathematics. Or they may be idealists or nominalists.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 2.2.1)
     A reaction: In other words, Shapiro wants to eliminate 'conceptualist' as a useful label in philosophy of mathematics. He's probably right. All thought involves concepts, but that doesn't produce a conceptualist theory of, say, football.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Impredicative' definitions refer to the thing being described [Shapiro]
     Full Idea: A definition of a mathematical entity is 'impredicative' if it refers to a collection that contains the defined entity. The definition of 'least upper bound' is impredicative as it refers to upper bounds and characterizes a member of this set.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
     A reaction: The big question is whether mathematics can live with impredicative definitions, or whether they threaten to be viciously circular, and undermine the whole enterprise.
7. Existence / A. Nature of Existence / 1. Nature of Existence
The world is either a whole made of its parts, or a container which contains its parts [Vetter]
     Full Idea: We can think of the world as a 'whole' that has everything as its parts, like raisins in a cake, or we can think of the world as a 'container', which is disjoint from everything there is, like a bottle containing water.
     From: Barbara Vetter (Potentiality [2015], 7.3)
     A reaction: [compressed] Space and time seem to have a special role here, and it is hard to think of any other candidates for being the 'container'. I think I will apply my 'what's it made of' test to ontology, and opt for the world as a 'whole'.
7. Existence / C. Structure of Existence / 1. Grounding / b. Relata of grounding
Grounding can be between objects ('relational'), or between sentences ('operational') [Vetter]
     Full Idea: 'Relational' grounding is between entities, best expressed by the two-place predicate 'x grounds y'. 'Operational' grounding is between sentences, best expressed by the two-place sentence operator read as 'because of' or 'in virtue of'.
     From: Barbara Vetter (Potentiality [2015], 1.6)
7. Existence / C. Structure of Existence / 5. Supervenience / d. Humean supervenience
The Humean supervenience base entirely excludes modality [Vetter]
     Full Idea: Humean supervenience excludes modality - the whole modal package - from the supervenience base. The Humean world is, at root, thoroughly non-modal.
     From: Barbara Vetter (Potentiality [2015], 1.2)
     A reaction: This sums up my problem with David Lewis with perfect clarity. He is just excessively empirical. Hume himself also excluded modality from the basic impressions. Locke allows powerful essences (even if they are well hidden).
7. Existence / E. Categories / 1. Categories
Even simple propositions about sensations are filled with categories [Hegel]
     Full Idea: Categories, like 'being', or 'individuality', are already mingled into every proposition, even when it has a completely sensible content, such as "this leaf is green".
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §246 Add), quoted by Stephen Houlgate - Hegel p.95
     A reaction: This is the source of the idea that observation is theory-laden (which tracks back to Kant). Not Duhem, who gets the credit among analytic philosophers. Quine obviously never read Hegel. But the idea is overrated.
Thought about particulars is done entirely through categories [Hegel]
     Full Idea: As an activity of the particular, thinking has the categories as its only product and content.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §62)
     A reaction: There seems to be an interesting implication in this remark (taken in isolation!) that one can somehow transcend the categories when one begins to think about the universal. Are the universal and the categories not connected?
8. Modes of Existence / B. Properties / 3. Types of Properties
A determinate property must be a unique instance of the determinable class [Vetter]
     Full Idea: The crucial feature of the determinates / determinables relation is that to possess the determinable property, an object must possess exactly one of the determinate properties.
     From: Barbara Vetter (Potentiality [2015], 5.7.2)
     A reaction: This sounds like a determinable being a function, and the determinate being its output. If 'scarlet' is a determinate of the determinables 'red' or 'coloured', it is not obvious that there is only one possible shade of scarlet. This schema oversimplifies.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
I have an 'iterated ability' to learn the violin - that is, the ability to acquire that ability [Vetter]
     Full Idea: I do not have the ability to play the violin. Nor does my desk. Unlike my desk, however, I possess the ability to learn to play the violin - the ability, that is, to acquire the ability to play the violin. I have an 'iterated ability' to play the violin.
     From: Barbara Vetter (Potentiality [2015], 4.6)
     A reaction: An important idea, though the examples are more likely to come from human behaviour than from the non-human physical world.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
We should think of dispositions as 'to do' something, not as 'to do something, if ....' [Vetter]
     Full Idea: We should think in terms of dispositions in terms of the manifestation alone - not as a disposition to ...if..., but as a disposition to ..., full stop.
     From: Barbara Vetter (Potentiality [2015], 1.7)
     A reaction: This way of individuating dispositions seems plausible. Some dispositions only have one trigger, but others have many. All sorts of things are inclined to trigger a human smile, but we are just disposed to smile. Some people smile at disasters.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
Nomological dispositions (unlike ordinary ones) have to be continually realised [Vetter]
     Full Idea: Nomological dispositions such as electric charge seem different from ordinary dispositions. A particle's being electrically charged is not just a possibility of exerting a certain force. Rather, the particle has to exert a force in certain circumstances.
     From: Barbara Vetter (Potentiality [2015], 2.7)
     A reaction: I can only pull when there is something to pull, but a magnet seems to have a 'field' of attraction which is pullish in character. Does it detect something to pull (like a monad)? Can there be a force which has no object?
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
How can spatiotemporal relations be understood in dispositional terms? [Vetter]
     Full Idea: Spatiotemporal relations are a prime example of properties that are difficult to understand in dispositional terms.
     From: Barbara Vetter (Potentiality [2015], 1.6)
     A reaction: [Vetter refers to A.Bird 2007 Ch.8 for an attempt] One approach would be to question whether they are 'properties'. I don't think of relations as properties, even if they are predicates. Is space a property of something?
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
The one substance is formless without the mediation of dialectical concepts [Hegel]
     Full Idea: As intuitively accepted by Spinoza without a previous mediation by dialectic, substance is as it were a dark shapeless abyss which engulfs all definite content as radically null, and produces from itself nothing that has a positive substance of its own.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], I §151Z p.215), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.6
     A reaction: This seems to be an expression of idealism, since only what is conceptualised can exist.
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Essence is the essential self-positing unity of immediacy and mediation [Hegel]
     Full Idea: The entire second part of the 'Logic', the doctrine of Essence, deals with the essential self-positing unity of immediacy and mediation.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §65)
     A reaction: He is referring to his book 'Science of Logic'. I don't really understand this, but that essence 'posits' the unity of a thing catches my attention.
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
Real cognition grasps a thing from within itself, and is not satisfied with mere predicates [Hegel]
     Full Idea: In genuine cognition ...an object determines itself from within itself, and does not acquire its predicates in an external way. If we proceed by way of predication, the spirit gets the feeling that the predicates cannot exhaust what they are attached to.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §28 Add)
     A reaction: I take this to be a glimpse of Hegel's notoriously difficult account of essence. Place this alongside Locke's distinction between Nominal and Real essences. Once we have the predicates, we want to grasp their source.
9. Objects / E. Objects over Time / 12. Origin as Essential
Why does origin matter more than development; why are some features of origin more important? [Vetter]
     Full Idea: Not every feature of an individual's origin is plausibly considered necessary, so we can distinguish two questions: 'why origin, rather than development?', and 'why these particular features of origin?'.
     From: Barbara Vetter (Potentiality [2015], 6.2)
     A reaction: [she cites P. Mackie 1998] The point is that exactly where someone was born doesn't seem vital. If it is nothing more than that every contingent object must have an origin, that is not very exciting.
We take origin to be necessary because we see possibilities as branches from actuality [Vetter]
     Full Idea: The plausibility of the necessity of origin is a symptom of our general tendency to think of possibility in terms of the 'branching model' - that unactualised possibilities must branch off from actuality, at some point.
     From: Barbara Vetter (Potentiality [2015], 7.9)
     A reaction: [she cites P. Mackie 1998] It is hard to see how we could flatly deny some possibilities which had absolutely no connection with actuality, and were probably quite unimaginable for us.
10. Modality / A. Necessity / 2. Nature of Necessity
The modern revival of necessity and possibility treated them as special cases of quantification [Vetter]
     Full Idea: Necessity and possibility had a revival with the development of modal logic, treating them as special cases of the existential and universal quantifiers, ranging over an infinity of possible worlds.
     From: Barbara Vetter (Potentiality [2015], 1.1)
     A reaction: The problem seems to be that possible worlds offer a very useful and interesting 'model' of modality, but say nothing at all about its nature. Any more than a weather map will show you what weather is.
It is necessary that p means that nothing has the potentiality for not-p [Vetter]
     Full Idea: Necessities mark the limits of the potentialities that objects have. More precisely, it is necessary that p just in case nothing has, or had, or will have a potentiality to be such that not-p.
     From: Barbara Vetter (Potentiality [2015], 6.2)
     A reaction: [See Vetter's other ideas for her potentiality account of modality] If we wish to build a naturalistic account of modality (and if you don't want that then your untethered metaphysics will drift away in logical space) then this is the way to go.
10. Modality / B. Possibility / 1. Possibility
Possibilities are potentialities of actual things, but abstracted from their location [Vetter]
     Full Idea: When we speak of possibility, we speak of potentiality in abstraction from its possessor; a possibility is a potentiality somewhere or other in the world, no matter where.
     From: Barbara Vetter (Potentiality [2015], 6.1)
     A reaction: I note that, as so often, this is psychological abstraction, which is usually sneered at by modern philosophers (e.g. Geach), and yet is employed all the time. This is Vetter's key thesis, which I like.
All possibility is anchored in the potentiality of individual objects [Vetter]
     Full Idea: Potentiality is, metaphorically speaking, possibility anchored in individual objects; I claim that all possibility is thus anchored in some individual object(s) or other.
     From: Barbara Vetter (Potentiality [2015], 1.1)
     A reaction: This will be fine for specific physical possibilities, but may become tricky for possibilities that are increasingly abstract, or universal, or idealised. I agree with the general approach. Anchor modality in reality (which is physical!).
Possibility is a generalised abstraction from the potentiality of its bearer [Vetter]
     Full Idea: We should think of possibility as potentiality in abstraction from its bearer. So 'it is possible that p' is defined as 'something has an iterated potentiality for it to be the case that p'.
     From: Barbara Vetter (Potentiality [2015], 1.4)
     A reaction: If possibilities are abstractions from potentialities, I am inclined the treat potentialities as abstractions from dispositions, and dispositions (and properties) as abstractions from powers. Powers are not abstractions - they are the reality.
10. Modality / B. Possibility / 4. Potentiality
Potentiality is the common genus of dispositions, abilities, and similar properties [Vetter]
     Full Idea: Potentiality can now be recognised as the common genus of dispositions and such related properties as abilities.
     From: Barbara Vetter (Potentiality [2015], 4.1)
     A reaction: This is the reason why Vetter defends a metaphysics of modality based on potentialities, rather than on narrower concepts such as dispositions, powers or essences. She can evade the problems which those narrower concepts raise.
Water has a potentiality to acquire a potentiality to break (by freezing) [Vetter]
     Full Idea: Water has no potentiality to break. But water has a potentiality to be frozen and turn into ice, which does have a potentiality to break. So water has a potentiality to acquire a potentiality to break.
     From: Barbara Vetter (Potentiality [2015], 4.6)
     A reaction: Thus potentially has an 'iterated' character to it, and an appropriate modal logic for it will have to allow for those iterations. She suggests a version of System T modal logic.
A potentiality may not be a disposition, but dispositions are strong potentialities [Vetter, by Friend/Kimpton-Nye]
     Full Idea: Although not all potentialities are dispositions, Vetter claims that all dispositions are potentialities which are had to a sufficiently high degree.
     From: report of Barbara Vetter (Potentiality [2015]) by Friend/Kimpton-Nye - Dispositions and Powers 2.4.2
     A reaction: This sounds plausible. A potentiality could be faint or negligible, but once it is a serious possibility it becomes a 'disposition'. ...I suppose. But if the meteor is probably going to hit my house, it doesn't mean it has a disposition to do so.
Potentiality does the explaining in metaphysics; we don't explain it away or reduce it [Vetter]
     Full Idea: This book is a plea for recognising potentiality as an explanans in the metaphysics of modality, rather than as something in need of explanation or reduction.
     From: Barbara Vetter (Potentiality [2015], 1.1)
     A reaction: Something has to do the explaining, and it is obviously much better to have some aspect of the real world do the job, rather than remote abstractions such as laws, possible worlds or Forms. Personally I like the potentiality of 'powers'.
Potentiality logic is modal system T. Stronger systems collapse iterations, and necessitate potentials [Vetter]
     Full Idea: The logic for potentiality corresponds to modal system T, the minimum for metaphysics. The S4 axiom ◊◊φ → ◊φ says iterated potentialities collapse, and the S5 ◊φ → □◊φ says potentialities can't be lost.
     From: Barbara Vetter (Potentiality [2015], 5.9)
     A reaction: [compressed] This seems persuasive. I nice example of modern analytic metaphysics, that you have to find a logic that suits your theory. N.Salmon defends system T for all of metaphysics, though most people favour S5.
There are potentialities 'to ...', but possibilities are 'that ....'. [Vetter]
     Full Idea: Potentialities are 'potentialities to ....', while possibilities are 'possibilities that ....'.
     From: Barbara Vetter (Potentiality [2015], 6.4)
     A reaction: This feels a bit like a stipulation, rather than a precise description of normal usage. That said, it is quite a nice distinction. It sounds as if an event follows a potentiality, and a state of affairs follows a possibility. Active and passive?
Potentialities may be too weak to count as 'dispositions' [Vetter]
     Full Idea: Potentialities may get exercised despite having a degree that is too low for them to qualify as dispositions.
     From: Barbara Vetter (Potentiality [2015], 5.7.4)
     A reaction: The key reason why her book is called 'Potentialities', rather than 'Dispositions'. She still wants to offer a naturalistic picture which ties potentialities to individual objects, but I am wondering whether potentialities are too abstract for the job.
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / c. Worlds as propositions
If worlds are sets of propositions, how do we know which propositions are genuinely possible? [Vetter]
     Full Idea: If possible worlds are sets of propositions, we need some way to distinguish those sets of propositions that do from those that do not correspond to genuine possibilities.
     From: Barbara Vetter (Potentiality [2015], 1.2)
     A reaction: The idea of a 'genuine' possibility does not seem to play a role in the conceptual scheme of those who treat possibility entirely in terms of possible worlds. If possibility is primitive, or is a set of worlds, there can be no criterion for 'genuine'.
10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
Are there possible objects which nothing has ever had the potentiality to produce? [Vetter]
     Full Idea: Is it not possible that there be objects with (natural) properties that no actual thing ever had the potentiality to have, to produce, or constitute? (Call such properties 'super-alien properties').
     From: Barbara Vetter (Potentiality [2015], 7.5)
     A reaction: This is a problem for her potentiality account of possibility. Her solution is (roughly) to either deny the super-aliens, or have chains of iterated possibility which take this case back to actuality. That sounds OK to me.
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
The Cogito is at the very centre of the entire concern of modern philosophy [Hegel]
     Full Idea: The proposition 'Cogito Ergo Sum' stands at the very centre, so to speak, of the entire concern of modern philosophy.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §64 Rem)
     A reaction: I distinguish two approaches to philosophy: the Parmenidean (which starts from the nature of being), and the Cartesian (which starts from the fact of consciousness). This remark confirms that Hegel is firmly in the latter school.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Existence is just a set of relationships [Hegel]
     Full Idea: Everything that exists stands in correlation, and this correlation is the veritable nature of existence.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], p.235 (1892)), quoted by Michael Potter - The Rise of Analytic Philosophy 1879-1930 23 'Abs'
12. Knowledge Sources / B. Perception / 1. Perception
The sensible is distinguished from thought by being about singular things [Hegel]
     Full Idea: The distinction of the sensible from thought is to be located in that fact that the determination of the sensible is singularity.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §20 Rem)
     A reaction: Compare Idea 15608, where we find that thought concerns universals. What a very clear thinker Hegel was!
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Sense perception is secondary and dependent, while thought is independent and primitive [Hegel]
     Full Idea: What can be perceived by the senses is really secondary and not self-standing, while thoughts, on the contrary, are what is genuinely independent and primitive.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §41 Add2)
     A reaction: Although this is post-Kant, it strikes me as a perfect slogan for rationalism. Personally I would say that such a dichotomy is becoming a historical relic, in the light of modern understanding of the brain. Experience and thought are inextricable.
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
     Full Idea: Rationalism is a long-standing school that can be characterized as an attempt to extend the perceived methodology of mathematics to all of knowledge.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.1)
     A reaction: Sometimes called 'Descartes's Dream', or the 'Enlightenment Project', the dream of proving everything. Within maths, Hilbert's Programme aimed for the same certainty. Idea 22 is the motto for the opposition to this approach.
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Empiricism contains the important idea that we should see knowledge for ourselves, and be part of it [Hegel]
     Full Idea: We must recognise the important principle of freedom that lies in Empiricism; namely, that what ought to count in our human knowing, we ought to see for ourselves, and to know ourselves as present in it.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §38 Rem)
     A reaction: Like Idea 15619, this is an interesting and perceptive remark, from a philosopher who seems a long way from empiricism. I presume he will be thinking mainly of Hume, via Kant. Personally I prefer Locke.
Empiricism made particular knowledge possible, and blocked wild claims [Hegel]
     Full Idea: Empiricism resulted from a need for concrete content, as opposed to abstract theories that cannot advance from universal generalizations to the particular, and for a firm hold against the possibility of proving any claim at all in the field.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §37)
     A reaction: That sounds about right, and makes you wonder why Hegel wasn't an empiricist.
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Empiricism unknowingly contains and uses a metaphysic, which underlies its categories [Hegel]
     Full Idea: Empiricism operates without knowing that it contains a metaphysics and is engaged in it, and that it is using categories and their connections in a totally uncritical and unconscious manner.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §38 Rem)
     A reaction: I doubt whether this is true of modern empiricists, who have been challenged so often from within their own ranks on so many things. I'm not even sure that it is true of Locke and Hume, apart from the way in which all philosophers are unaware of things.
Empiricism of the finite denies the supersensible, and can only think with formal abstraction [Hegel]
     Full Idea: Inasmuch as Empiricism restricts itself to what is finite, the consistent carrying through of its programme denies the supersensible altogether, ..and it leaves thinking with abstraction only, [i.e.] with formal universality and identity.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §38 Rem)
     A reaction: I'm not clear how a denial of empiricism allows you (with intellectual integrity) to embrace 'the supersensible'. The set theoretic account of higher levels of infinity looks like a nice test case.
The Humean view stops us thinking about perception, and finding universals and necessities in it [Hegel]
     Full Idea: The Humean standpoint proclaims the thinking of our perceptions to be inadmissible; i.e. the eliciting of the universal and necessary out of those perceptions.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §50)
     A reaction: Obviously Hume permits 'relations of ideas', but presumably the point is that his approach only legitimates a rather passive abstraction from experience, rather than an active application of a priori concepts to it. A fair criticism. See Bonjour.
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
Humean scepticism, unlike ancient Greek scepticism, accepts the truth of experience as basic [Hegel]
     Full Idea: Humean scepticism should be very carefully distinguished from Greek scepticism. In Humean scepticism, the truth of the empirical, the truth of feeling and intuition is taken as basic. ..Greek scepticism turned itself against the sensible.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §39 Rem)
     A reaction: This seems right, and Hume himself was quite contemptuous of the sort of scepticism found in the ideas of Sextus Empiricus.
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Explanations by disposition are more stable and reliable than those be external circumstances [Vetter]
     Full Idea: Patterns of behaviour may be explained by circumstances external to the individual, but dispositional explanations, based on the instrinsic make-up of individuals are typically more reliable and stable.
     From: Barbara Vetter (Potentiality [2015], 3.5)
     A reaction: [compressed] This is very nice support for the view I have been defending. She doesn't deal in essences, and prefers 'potentialities' (as broader) to 'dispositions'. The point is to explain events by the natures of the ingredients.
Grounding is a kind of explanation, suited to metaphysics [Vetter]
     Full Idea: Grounding is a kind of explanation - and specifically, the kind of metaphysical explanation that metaphysicians are after.
     From: Barbara Vetter (Potentiality [2015], 4.5)
     A reaction: Depending on how you interpret 'grounding', it is plausible that it is the sort of explanation that physicists and economists are after as well. If the aim is to understand the structure of everything, the target is to know what grounds what.
16. Persons / F. Free Will / 7. Compatibilism
In abstraction, beyond finitude, freedom and necessity must exist together [Hegel]
     Full Idea: Considered as abstractly confronting one another, freedom and necessity pertain to finitude only and are valid only on its soil. A freedom with no necessity in it, and a mere necessity without freedom, are determinations that are abstract and thus untrue.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §35 Add)
     A reaction: This is, presumably, the Hegelian dialectical nature of things, that contradictories are bound together. We must struggle hard to undestand a freedom bound by necessity, and a necessity which contains freedom. (Good luck).
18. Thought / A. Modes of Thought / 1. Thought
The act of thinking is the bringing forth of universals [Hegel]
     Full Idea: Thinking as an activity is the active universal, and indeed the self-actuating universal, since the act, or what is brought forth, is precisely the universal.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §20)
     A reaction: One should contemplate animal thought in the light of this remark. Thought requires the recognition of types of things, and resemblances, and repetitions, and patterns. Language consists almost entirely of universals.
18. Thought / B. Mechanics of Thought / 2. Categories of Understanding
Hegel's system has a vast number of basic concepts [Hegel, by Moore,AW]
     Full Idea: For Hegel the full system of concepts ...contains many more than Kant's twelve.
     From: report of Georg W.F.Hegel (Logic (Encyclopedia I) [1817], I §60Z) by A.W. Moore - The Evolution of Modern Metaphysics 07.7
     A reaction: This offers some sort of conceptual scheme, but not the structured one that Kant proposes. The sequence of dialectical mediation imposes some sort of shape on the concepts.
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
We don't think with concepts - we think the concepts [Hegel]
     Full Idea: There is a saying that, when we have grasped a concept, we still do not know what to think with it. But there is nothing to be thought with a concept save the concept itself.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §03 Rem)
     A reaction: Analytic philosophers should read Hegel on concepts, because he approaches the matter so very differently, and seems to be the root of the continental approach to such things. He seems to me to talk more sense than Frege on the subject.
Active thought about objects produces the universal, which is what is true and essential of it [Hegel]
     Full Idea: When thinking is taken as active with regard to ob-jects, as the thinking-over of something, then the universal - as the product of the activity - contains the value of the matter, what is essential, inner, true.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §21)
     A reaction: I prefer to talk of 'general terms' rather than 'universals'. If 'tiger' is coined for the first one, but must be applicable to subsequent tigers, it has to generalise what they all have in common. Locke's 'nominal' essence, I would say.
26. Natural Theory / C. Causation / 1. Causation
Old metaphysics tried to grasp eternal truths through causal events, which is impossible [Hegel]
     Full Idea: When finite things are grasped according to the determinations of cause and effect they are known in their finitude. But objects of reason cannot be determined through such finite predicates, and the attempt to do this was the defect of older metaphysics.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §28 Add)
     A reaction: This sounds the launching point for a grand philosophical system which makes scientifically inclined philosophers feel very nervous indeed. I think I prefer the old (pre-Kantian) metaphysics.
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
The view that laws are grounded in substance plus external necessity doesn't suit dispositionalism [Vetter]
     Full Idea: The Armstrong/Tooley/Dretske view, which takes laws to be substantial but grounded in a relation of nomic necessitation external to the properties themselves, is not an attractive option for the dispositionalist.
     From: Barbara Vetter (Potentiality [2015], 7.8)
     A reaction: The point is that the dispositionalist sees laws as grounded in the properties. I prefer her other option, of dispositionalism plus a 'shallow' view of laws (which she attributes to Mumford). The laws are as Lewis says, but powers explain them.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
Dispositional essentialism allows laws to be different, but only if the supporting properties differ [Vetter]
     Full Idea: Even on the dispositional essentialist view the world might have been governed by different laws, if those laws involved different properties. What is excluded is the possibility of different laws involving the same properties as our actual laws.
     From: Barbara Vetter (Potentiality [2015], 7.8)
     A reaction: Important. Critics of dispositional essentialism accuse it of promoting the idea that the laws of nature are necessary, a claim for which we obviously have no evidence. I prefer to say they are necessary given that 'stuff', rather than those properties.
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
If time is symmetrical between past and future, why do they look so different? [Vetter]
     Full Idea: Any defender of the symmetry of time will have to provide some explanation of the obstinate appearance that the future is very different from the past.
     From: Barbara Vetter (Potentiality [2015], 5.8)
     A reaction: Presumably you have to say that it is all there, but only one end of the time spectrum is revealed to us, namely the past. But how do we get this uniquely lopsided view? Being an ominiscient god is more obvious than being a lopsided human.
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
Presentists explain cross-temporal relations using surrogate descriptions [Vetter]
     Full Idea: Presentists usually deal with the lack of cross-temporal relations by the construction of a surrogate, by way of paraphrasing the objectionable relation ascriptions. 'I admire Socrates' becomes 'I admire the Socrates properties'.
     From: Barbara Vetter (Potentiality [2015], 7.9)
     A reaction: [compressed. The cites Markosian 2004:63] Why can't I just say 'I admire Socrates, who no longer exists'? The present includes tensed facts, and memories and evidence-based theories. Admiring is not a direct relation between objects.
28. God / A. Divine Nature / 2. Divine Nature
The older conception of God was emptied of human features, to make it worthy of the Infinite [Hegel]
     Full Idea: In earlier times, every type of so-called anthropomorphic representation was banished from God as finite, and hence unworthy of the Infinite; and as a result he had already grown into something remarkably empty.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §62 Rem)
     A reaction: Hegel favoured Christianity, because of its human aspect. His description fits Islam, where indeed the concept of God seems so drain of particularity that there is little in it to doubt, which might explain the durability of that religion.
God is the absolute thing, and also the absolute person [Hegel]
     Full Idea: It is true that God ...is the absolute thing: he is however no less the absolute person. That he is the absolute person however is a point which the philosophy of Spinoza never reached.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], I §151Z p.214), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.6
     A reaction: Moore says Hegel was a Spinozist, in his commitment to a single substance, but his idea of God is very different, presumably because consciousness and concepts are so important to Hegel. Hegel needs a Lockean abstract notion of 'person' here.
If God is the abstract of Supremely Real Essence, then God is a mere Beyond, and unknowable [Hegel]
     Full Idea: When the concept of God is apprehended merely as that of the abstract of Supremely Real Essence, then God becomes for us a mere Beyond, and there can be no further talk of the cognition of God.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §36 Add)
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
We establish unification of the Ideal by the ontological proof, deriving being from abstraction of thinking [Hegel]
     Full Idea: One unification through which the Ideal is to be established starts from the abstraction of thinking and goes on to the determination for which being alone remains; this is the ontological proof that God is there.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §51)
     A reaction: It should come as no surprise that a philosopher who so passionately endorses pure thinking, in opposition to empiricism, should end up endorsing the highly implausible ontological argument for God's existence. Jacquette gets existence from reason.