Combining Texts

All the ideas for 'fragments/reports', 'Frege philosophy of mathematics' and 'Phenomenology of Spirit'

unexpand these ideas     |    start again     |     specify just one area for these texts


56 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy moves essentially in the element of universality [Hegel]
     Full Idea: Philosophy moves essentially in the element of universality.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 01)
     A reaction: I would take this to be uncontroversially correct. An interesting test case is applied ethics, which seems embedded in current cultural practices. I would always take it to be searching for what is universal in each situation.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Philosophy aims to reveal the necessity and rationality of the categories of nature and spirit [Hegel, by Houlgate]
     Full Idea: For Hegel, philosophy's principal task is to disclose the enduring necessity and rationality of the categories and forms of nature and spirit that it examines.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Stephen Houlgate - An Introduction to Hegel 4 'Phenomenology'
     A reaction: The idea that a miserable little evolved and transient mammal on a tiny planet has direct insight into the necessities and categories of nature and spirit looks a shade optimistic to me. You have to admire the ambition, though.
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Without philosophy, science is barren and futile [Hegel]
     Full Idea: Let other sciences try to argue as much as they like without philosophy - without it they can have in them neither life, Spirit, nor truth.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 67)
     A reaction: To be pinned up in every physics laboratory in the world. On the whole I agree with this. My slogan is 'science is the servant of philosophy'. An unphilosophical scientist is just a technologist, an artisan.
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Truth does not appear by asserting reasons and then counter-reasons [Hegel]
     Full Idea: It is not difficult to see that the way of asserting a proposition, adducing reasons for it, and in the same way refuting its opposite by reasons, is not the form in which truth can appear.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], p.28), quoted by Stephen Houlgate - Hegel p.100
     A reaction: This is a pretty good description of the way Plato and Aristotle do philosophy, so this idea, which must be a founding idea for the 'continental school', is extremely radical. Personally I identify rationality with believing things for good reasons.
2. Reason / A. Nature of Reason / 8. Naturalising Reason
The structure of reason is a social and historical achievement [Hegel, by Pinkard]
     Full Idea: The lesson of Hegel's Phenomenology was that the structure of reason was social, and was therefore a historical achievement.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Terry Pinkard - German Philosophy 1760-1860 10
     A reaction: This must be one of the most influential ideas to have filtered into the modern world. It is a predecessor of Marxist sociology. The idea that stands against it is Frege's platonist view of logic, making it necessary, despite being historical.
2. Reason / A. Nature of Reason / 9. Limits of Reason
Truth does not come from giving reasons for and against propositions [Hegel]
     Full Idea: The way of asserting a proposition, adducing reasons for it, and in the same way refuting its opposite by reasons, is not the form in which truth can appear.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 48)
     A reaction: I can't see Plato or Aristotle agreeing with this. It is obviously the prelude to Hegel's dialectical account of reasoning. However, if we don't believe things because we have good reason to, I'm not sure where we shoud start.
2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
     Full Idea: The standard sense of a 'contextual definition' permits the eliminating of the defined expression, by transforming any sentence containing it into an equivalent one not containing it.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.11)
     A reaction: So the whole definition might be eliminated by a single word, which is not equivalent to the target word, which is embedded in the original expression. Clearly contextual definitions have some problems
3. Truth / D. Coherence Truth / 1. Coherence Truth
The true is the whole [Hegel]
     Full Idea: The true is the whole.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 20)
     A reaction: This is the full idealist coherence view of truth, that one only approaches the Truth (capital T) as one builds up a more and more coherent picture. It makes truth unattainable, and that strikes me as a bit silly.
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
     Full Idea: For sentential or first-order logic, the logical truths are represented by valid formulas; in higher-order logics, by sentences formulated in purely logical terms.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch. 3)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
     Full Idea: A prime number is one which is measured by a unit alone.
     From: Michael Dummett (Frege philosophy of mathematics [1991], 7 Def 11)
     A reaction: We might say that the only way of 'reaching' or 'constructing' a prime is by incrementing by one till you reach it. That seems a pretty good definition. 64, for example, can be reached by a large number of different routes.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
     Full Idea: It is essential to a quantitative domain of any kind that there should be an operation of adding its elements; that this is more fundamental thaat that they should be linearly ordered by magnitude is apparent from cyclic domains like that of angles.
     From: Michael Dummett (Frege philosophy of mathematics [1991], 22 'Quantit')
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
     Full Idea: A number is a multitude composed of units.
     From: Michael Dummett (Frege philosophy of mathematics [1991], 7 Def 2)
     A reaction: This is outdated by the assumption that 0 and 1 are also numbers, but if we say one is really just the 'unit' which is preliminary to numbers, and 0 is as bogus a number as i is, we might stick with the original Greek distinction.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
     Full Idea: A child understands 'there are just as many nuts as apples' as easily by pairing them off as by counting them.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.12)
     A reaction: I find it very intriguing that you could know that two sets have the same number, without knowing any numbers. Is it like knowing two foreigners spoke the same words, without understanding them? Or is 'equinumerous' conceptually prior to 'number'?
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
     Full Idea: The identity of a mathematical object may sometimes be fixed by its relation to what lies outside the structure to which it belongs. It is more fundamental to '3' that if certain objects are counted, there are three of them.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch. 5)
     A reaction: This strikes me as Dummett being pushed (by his dislike of the purely abstract picture given by structuralism) back to a rather empiricist and physical view of numbers, though he would totally deny that.
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
     Full Idea: The number 0 is not differentiated from 1 by its position in a progression, otherwise there would be no difference between starting with 0 and starting with 1. That is enough to show that numbers are not identifiable just as positions in structures.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch. 5)
     A reaction: This sounds conclusive, but doesn't feel right. If numbers are a structure, then where you 'start' seems unimportant. Where do you 'start' in St Paul's Cathedral? Starting sounds like a constructivist concept for number theory.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
     Full Idea: The two frequent modern objects to logicism are that set theory is not part of logic, or that it is of no interest to 'reduce' a mathematical theory to another, more complex, one.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.18)
     A reaction: Dummett says these are irrelevant (see context). The first one seems a good objection. The second one less so, because whether something is 'complex' is a quite different issue from whether it is ontologically more fundamental.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
     Full Idea: The distinction between concrete and abstract objects, or Frege's corresponding distinction between actual and non-actual objects, is not a sharp dichotomy, but resembles a scale upon which objects occupy a range of positions.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.18)
     A reaction: This might seem right if you live (as Dummett chooses to) in the fog of language, but it surely can't be right if you think about reality. Is the Equator supposed to be near the middle of his scale? Either there is an equator, or there isn't.
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
     Full Idea: Fully fledged realism depends on - indeed, may be identified with - an undiluted application to sentences of the relevant kind of straightforwards two-valued semantics.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.15)
     A reaction: This is the sort of account you get from a whole-heartedly linguistic philosopher. Personally I would say that Dummett has got it precisely the wrong way round: I adopt a two-valued semantics because my metaphysics is realist.
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
     Full Idea: The nominalist superstition is based ultimately on the myth of the unmediated presentation of genuine concrete objects to the mind.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.18)
     A reaction: Personally I am inclined to favour nominalism and a representative theory of perception, which acknowledges some 'mediation', but of a non-linguistic form. Any good theory here had better include animals, which seem to form concepts.
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
     Full Idea: The existence of abstract objects is a pseudo-problem.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.18)
     A reaction: This remark follows after Idea 9884, which says the abstract/concrete distinction is a sliding scale. Personally I take the distinction to be fairly sharp, and it is therefore probably the single most important problem in the whole of human thought.
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
     Full Idea: Objects which are objective but not actual are precisely what are now called abstract objects.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.15)
     A reaction: Why can there not be subjective abstract objects? 'My favourites are x, y and z'. 'I'll decide later what my favourites are'. 'I only buy my favourites - nothing else'.
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
     Full Idea: If someone argued that assuming the existence of the Equator explains nothing, and it has no causal powers, so everything would be the same if it didn't exist, so we needn't accept its existence, we should gape at the crudity of the misunderstanding.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.15)
     A reaction: Not me. I would gape if someone argued that latitude 55° 14' (and an infinity of other lines) exists for the same reasons (whatever they may be) that the Equator exists. A mode of description can't create an object.
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
     Full Idea: 'We've crossed the Equator' is judged true if we are nearer the other Pole, so it not for philosophers to deny that the Earth has an equator, and we see that the Equator is not a concept or relation or function, so it must be classified as an object.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.15)
     A reaction: A lovely example of linguistic philosophy in action (and so much the worse for that, I would say). A useful label here, I suggest (unoriginally, I think), is that we should label such an item a 'semantic object', rather than a real object in our ontology.
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
     Full Idea: To recognise that there is no objection in principle to abstract objects requires acknowledgement that some form of the context principle is correct, since abstract objects can neither be encountered nor presented.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.16)
     A reaction: I take this to be an immensely important idea. I consider myself to be a philosopher of thought rather than a philosopher of language (Dummett's distinction, he being one of the latter). Thought connects to the world, but does it connect to abstracta?
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
     Full Idea: Husserl says the only ground for assuming the replaceability of one content by another is their identity; we are therefore not entitled to define their identity as consisting in their replaceability.
     From: report of Michael Dummett (Frege philosophy of mathematics [1991]) by Michael Dummett - Frege philosophy of mathematics Ch.12
     A reaction: This is a direct challenge to Frege. Tricky to arbitrate, as it is an issue of conceptual priority. My intuition is with Husserl, but maybe the two are just benignly inerdefinable.
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
     Full Idea: In his middle period Frege rated identity indefinable, on the ground that every definition must take the form of an identity-statement. Frege introduced the notion of criterion of identity, which has been widely used by analytical philosophers.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.10)
     A reaction: The objection that attempts to define identity would be circular sounds quite plausible. It sounds right to seek a criterion for type-identity (in shared properties or predicates), but token-identity looks too fundamental to give clear criteria.
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
I develop philosophical science from the simplest appearance of immediate consciousness [Hegel, by Hegel]
     Full Idea: In my 'Phenomenology of Spirit' the procedure adopted was to begin from the first and simplest appearance of the spirit, from immediate consciousness, and to develop the dialectic right up to the standpoint of philosophical science.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Georg W.F.Hegel - Logic (Encyclopedia I) §25 Rem
     A reaction: I take metaphysics to be either Parmenidean (starting from Being) or Cartesian (starting from mind), and this (surprisingly, given his lengthy talk of Being) shows Hegel to be a quintessentially Cartesian philosopher. Aristotle is the great Parmenidean.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The Absolute is not supposed to be comprehended, but felt and intuited [Hegel]
     Full Idea: The Absolute is not supposed to be comprehended, it is to be felt and intuited.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 06)
     A reaction: Hegel was a rather romantic philosopher. Where does the 'supposed' come from? If the Absolute is only felt and intuited, can the resulting apprehensions be reported to others? Is this, in fact, mysticism?
In the Absolute everything is the same [Hegel]
     Full Idea: In the Absolute everything is the same.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 16)
     A reaction: This is indistinguishable from the great spherical reality of Parmenides. It is not unreasonable to enquire about the epistemology of this claim. Is Hegel a seer, or can we all intuit this insight into reality?
Genuine idealism is seeing the ideal structure of the world [Hegel, by Houlgate]
     Full Idea: Genuine (as opposed to subjective) idealism, for Hegel, is the point of view that knows the world to have a rational, and therefore 'ideal', structure.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Stephen Houlgate - An Introduction to Hegel 04 'The Unhappy'
     A reaction: Compare Leibniz, whose monad theory is said to be a sort of idealism, because it places ideas at the heart of reality. Is Plato also this sort of 'genuine' idealism? Do we need different terms for 'genuine' and 'subjective' idealism? And 'transcendental'?
Being is Thought [Hegel]
     Full Idea: Being is Thought.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 54)
     A reaction: You won't find a more succinct slogan for idealism than that. Speaking as what Tim Williamson (referring to himself) calls a 'rottweiler realist', I can't quite get the hang of Hegel's claim. What does he think thought is, if it isn't about the world?
12. Knowledge Sources / B. Perception / 1. Perception
Experience is immediacy, unity, forces, self-awareness, reason, culture, absolute being [Hegel, by Houlgate]
     Full Idea: Experience moves from 1) immediacy, to 2) united objects with properties, 3) its forces and laws, 4) self-consciousness in the process, 5) seeing a rational realm, 6) seeing a cultural realm, 7) seeing the absolute being of consciousness.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Stephen Houlgate - An Introduction to Hegel 03 'From certainty'
     A reaction: [My summary of Houlgate's summary of the key sequence of ideas in The Phenomenology of Spirit]. I stare at it with bewilderment, but cannot decide whether or not Hegel is pursuing a worthwhile project. [also Houlgate p.77 and 102]
12. Knowledge Sources / B. Perception / 5. Interpretation
Hegel tried to avoid Kant's dualism of neutral intuitions and imposed concepts [Hegel, by Pinkard]
     Full Idea: Hegel tried to avoid the untenable Kantian dualism between concepts and intuitions, and the Kantian mechanism of the 'imposition' of concepts on sensibility entailed by that dualism (with intuition having neutral content).
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Terry Pinkard - German Philosophy 1760-1860 09
     A reaction: [Pinker is describing the opening of Phenomenology] In modern discussions this concerns the idea of The Given, which is wholly uninterpreted raw experience. Sellars and MacDowell. Kant seems to split an agent into two (Master/Slave).
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Consciousness derives its criterion of knowledge from direct knowledge of its own being [Hegel]
     Full Idea: In what consciousness affirms from within itself as being-in-itself or the True we have the standard which consciousness itself sets up by which to measure what it knows.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], p.053), quoted by Stephen Houlgate - An Introduction to Hegel 03 'The Method'
     A reaction: This seems to be a very close relation of Descartes' 'clear and distinct conceptions'. This certainly places Hegel in the Rationalist camp.
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Consciousness is shaped dialectically, by opposing forces and concepts [Hegel, by Aho]
     Full Idea: In 'The Phenomenology of Spirit' Hegel offers a panoptic account of Western consciousness as a dialectical process shaped by opposing principles - such as subject/object, freedom/determinism, temporal/eternal, and particular/universal.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Kevin Aho - Existentialism: an introduction 2 'Subjective'
     A reaction: A helpful pointer, for us poor analytic philosophers, who stare in bewilderment at Hegel's stuff, despite its apparent importance. At moment it is the politics that strikes me as most interesting in Hegel. This is cultured consciousness, pre-Marx.
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
Consciousness is both of objects, and of itself [Hegel]
     Full Idea: Consciousness is, on the one hand, consciousness of the object, and on the other, consciousness of itself.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], p.052), quoted by Stephen Houlgate - An Introduction to Hegel 03 'The Method'
     A reaction: Hume challenges whether there is any knowledge of consciousness purely in itself. Schopenhauer flatly disagreed (Idea 4166) - but then he would, wouldn't he?
16. Persons / A. Concept of a Person / 4. Persons as Agents
Hegel claims knowledge of self presupposes desire, and hence objects [Hegel, by Scruton]
     Full Idea: Hegel seems to argue that the immediate knowledge of self (the Cartesian premise) presupposes the activity that constitutes the self, and this presupposes desire, and hence the knowledge of objects.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Roger Scruton - Short History of Modern Philosophy Ch.12
     A reaction: This hardly amounts to an argument, but I find it quite sympathetic as a claim. It fits comfortably with modern externalist accounts of thought. While solipsism seems a logical possibility, it hardly amounts to a coherent account of mental life.
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
For Hegel knowledge of self presupposes objects, and also a public and moral social world [Hegel, by Scruton]
     Full Idea: Hegel tries to show that knowledge of self as subject presupposes not just knowledge of objects, but knowledge of a public social world, in which there is moral order and civic trust.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Roger Scruton - Short History of Modern Philosophy Ch.12
     A reaction: This is not far off Wittgenstein's private language argument. It is also Popper's 'World Three', of society and language. Human reality is incomprehensible without some recognition of the culture in which we immerse, like fish in water.
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
     Full Idea: One powerful argument for a thesis that one notion is conceptually prior to another is the possibility of defining the first without reference to the second.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.12)
     A reaction: You'd better check whether you can't also define the second without reference to the first before you rank their priority. And maybe 'conceptual priority' is conceptually prior to 'definition' (i.e. definition needs a knowledge of priority). Help!
An argument for conceptual priority is greater simplicity in explanation [Dummett]
     Full Idea: An argument for conceptual priority is greater simplicity in explanation.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.12)
     A reaction: One might still have to decide priority between two equally simple (or complex) concepts. I begin to wonder whether 'priority' has any other than an instrumental meaning (according to which direction you wish to travel - is London before Edinburgh?).
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
     Full Idea: To recognise abstract terms as perfectly proper items of a vocabulary depends upon allowing that all that is necessary for the lawful introduction of a range of expressions into the language is a coherent account of how they are to function in sentences.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.16)
     A reaction: Why can't the 'coherent account' of the sentences include the fact that there must be something there for the terms to refer to? How else are we to eliminate nonsense words which obey good syntactical rules? Cf. Idea 9872.
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
     Full Idea: Dummett uses the term 'logical abstraction' for the construction of the abstract objects as equivalence classes, but it is not clear why we should call this construction 'logical'.
     From: report of Michael Dummett (Frege philosophy of mathematics [1991]) by William W. Tait - Frege versus Cantor and Dedekind n 14
     A reaction: This is a good objection, and Tait offers a much better notion of 'logical abstraction' (as involving preconditions for successful inference), in Idea 9981.
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
     Full Idea: We arrive at the concept of suicide by considering both occurrences in the sentence 'Cato killed Cato' of the proper name 'Cato' as simultaneously replaceable by another name, say 'Brutus', and so apprehending the pattern common to both sentences.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.14)
     A reaction: This is intended to illustrate Frege's 'logical abstraction' technique, as opposed to wicked psychological abstraction. The concept of suicide is the pattern 'x killed x'. This is a crucial example if we are to understand abstraction...
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
     Full Idea: To get units by abstraction, units arrived at by abstraction from forks must the identical to that abstracted from spoons, with no trace of individuality. But if spoons can no longer be differentiated from forks, they can't differ from one another either.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch. 8)
     A reaction: [compressed] Dummett makes the point better than Frege did. Can we 'think of a fork insofar as it is countable, ignoring its other features'? What are we left thinking of? Frege says it must still be the whole fork. 'Nice fork, apart from the colour'.
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
     Full Idea: A Fregean semantics assumes a domain already determinately articulated into individual objects.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch. 8)
     A reaction: A more interesting criticism than most of Dummett's other challenges to the Frege/Davidson view. I am beginning to doubt whether the semantics and the ontology can ever be divorced from the psychology, of thought, interests, focus etc.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
23. Ethics / F. Existentialism / 6. Authentic Self
The in-itself must become for-itself, which requires self-consciousness [Hegel]
     Full Idea: The in-itself has to express itself outwardly and become for itself, and this means simply that it has to posit self-consciousness as one with itself.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 26)
     A reaction: This famous distinction seems to be at the core of idealism, but also to be the germ of existentialism (prior to Kierkegaard), which builds on this view of what it means to exist as an individual. Self-consciousness in nature is inevitable?
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Human nature only really exists in an achieved community of minds [Hegel]
     Full Idea: Human nature only really exists in an achieved community of minds.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 69)
     A reaction: A lovely slogan, that makes Hegel the father of the communitarian movement. The politics of Hegel can, of course, be sinister, so one must proceed with care, and study history to see where it can all go wrong.
Modern life needs individuality, but must recognise that human agency is social [Hegel, by Pinkard]
     Full Idea: Hegel argued that the modern world necessarily had to make space for individuals and their inviolable conscience, while not becoming so individualistic that it failed to acknowledge the deep sociality of human agency. ...Subjectivity became a right.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Terry Pinkard - German Philosophy 1760-1860 09
     A reaction: [at the end of the chapter on the history of Geist in the Phenomenology] Conservatives, revolutionaries and communitarians all claim Hegel as their own. The sociality is a matter of mutual law-giving, as in the Master/Slave.
25. Social Practice / E. Policies / 5. Education / d. Study of history
History is the progress of the consciousness of freedom [Hegel]
     Full Idea: The History of the World is none other than than the progress of the consciousness of freedom.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807]), quoted by Peter Singer - Marx 2
     A reaction: [no ref given] Presumably there is an evolutionary view implicit in this. Presumably also later generations are hereby superior to previous generations. Since no one still has this view of history, does that invalidate Hegel?
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
The movement of pure essences constitutes the nature of scientific method [Hegel]
     Full Idea: The movement of pure essences constitutes the nature of scientific method in general.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 34)
     A reaction: This would appear to be precisely the idea of scientific essentialism - if he is saying that science seeks to understand the movement (or power) of essences as they occur in nature.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
Science confronts the inner necessities of objects [Hegel]
     Full Idea: Scientific cognition demands surrender to the life of the object, or, what amounts to the same thing, confronting and expressing its inner necessity.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], Pref 53)
     A reaction: This strikes me as being a much better account of what science tries to do than all the modern talk about laws and theories.
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
     Full Idea: By what right do we assume that the limit of measurement is a point, and not an interval?
     From: Michael Dummett (Frege philosophy of mathematics [1991], 22 'Quantit')
28. God / B. Proving God / 1. Proof of God
The God of revealed religion can only be understood through pure speculative knowledge [Hegel]
     Full Idea: God is attainable in pure speculative knowledge alone and is only in that knowledge, and is only that knowledge itself, for He is Spirit; and this speculative knowledge is the knowledge of revealed religion.
     From: Georg W.F.Hegel (Phenomenology of Spirit [1807], p.461), quoted by Stephen Houlgate - An Introduction to Hegel 04 'Absolute'
     A reaction: If you were hoping to find out why Hegel believed in God, I fear this is the best evidence available. He is evidently opposed to natural theology. Hegel's language makes it very hard to grasp how we sees the nature of God.
28. God / C. Attitudes to God / 4. God Reflects Humanity
God is the essence of thought, abstracted from the thinker [Hegel, by Feuerbach]
     Full Idea: In Hegel the essence of God is actually nothing other than the essence of thought, or thought abstracted from the ego, that is, from the one who thinks.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Ludwig Feuerbach - Principles of Philosophy of the Future §23
     A reaction: Presumably Descartes' Cogito is the origin for this train of thought. This is Feuerbach's reading of Hegel, but the former was keen on the idea of God as idealised humanity.
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Hegel made the last attempt to restore Christianity, which philosophy had destroyed [Hegel, by Feuerbach]
     Full Idea: The Hegelian philosophy is the last magnificent attempt to restore Christianity, which was lost and wrecked, through philosophy, and to restore Christianity (as usual in the modern era) by identifying it with the negation of Christianity.
     From: report of Georg W.F.Hegel (Phenomenology of Spirit [1807]) by Ludwig Feuerbach - Principles of Philosophy of the Future §21
     A reaction: What is meant by the 'negation' of Christianity needs some untangling, but I suspect that a lot of 'continental' philosophy 1750-1950 is to do with Christianity, unlike British empiricism, which is intrinsically atheistic.