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All the ideas for 'Reply to Fourth Objections', 'Mathematical Methods in Philosophy' and 'Science of Logic'

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37 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
If we start with indeterminate being, we arrive at being and nothing as a united pair [Hegel, by Houlgate]
     Full Idea: Presuppositionless thinking which begins by thinking pure, indeterminate being must therefore come to think being and nothing in terms of one another.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Stephen Houlgate - An Introduction to Hegel 02 'From indeterminate'
     A reaction: In Houlgate's account this seems to be the key Hegelian thought. Simply by confronting nothingness he gets the idea that one concept can lead to an alternative, and that the two can then be grasped together, which is his dialectic.
Thought about being leads to a string of other concepts, like becoming, quantity, specificity, causality... [Hegel, by Houlgate]
     Full Idea: In the course of (Hegel's) logic, we come to understand that to think being is to think becoming, quality, quantity, specificity, essence and existence, substance and causality, and, ultimately, self-determining reason itself.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Stephen Houlgate - An Introduction to Hegel 02 'The Method'
     A reaction: Extraordinary! Houlgate spells out nicely what some commentators seem to gloss over, the huge a priori ambitions of Hegel's thought. I find his entire programme utterly implausible.
We must start with absolute abstraction, with no presuppositions, so we start with pure being [Hegel]
     Full Idea: The beginning must be an absolute - an abstract beginning; and so it may not presuppose anything, must not be mediated by anything or have a ground; rather it is itself to be the ground of the entire science. ...The beginning therefore is pure being.
     From: Georg W.F.Hegel (Science of Logic [1816], p.70), quoted by Stephen Houlgate - An Introduction to Hegel 03 'Logic'
     A reaction: This is the 'presuppositionless' beginning of Hegel's metaphysics, which Houlgate emphasises. Hegel's logic is very obviously a direct descendent of Descartes' Cogito. But it is pure thought, with no mention of a Self.
2. Reason / A. Nature of Reason / 5. Objectivity
Objectivity is not by correspondence, but by the historical determined necessity of Geist [Hegel, by Pinkard]
     Full Idea: What gives objectivity to a judgment about an object is not correspondence, but the way in which a judgement is located within a pattern of reasonng that is determined by the way in which Geist is historically determined as necessarily taking the object.
     From: report of Georg W.F.Hegel (Science of Logic [1816], Intro) by Terry Pinkard - German Philosophy 1760-1860
     A reaction: I quote this, but I'm blowed if I can make sense of how objectivity could be achieved in such a way. How can a historical process create a necessary judgement? Sorry, I'm fairly new to Hegel. Pinker says it is the practice of giving reasons.
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Being and nothing are the same and not the same, which is the identity of identity and non-identity [Hegel]
     Full Idea: Pure being and pure nothing are the same, ...but on the contrary they are not the same ...they are absolutely distinct. ...This is the identity of identity and non-identity.
     From: Georg W.F.Hegel (Science of Logic [1816], I.i.i.1C p.82,74), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.7
     A reaction: Even Moore, who is very patient with Hegel, gets cross at this point, describing such talk as 'shocking'. He's not wrong. Moore later says that the reason in reality tolerates contradictions, but human understanding can't.
The so-called world is filled with contradiction [Hegel]
     Full Idea: The so-called world is never and nowhere without contradiction. (...but it is unable to endure it)
     From: Georg W.F.Hegel (Science of Logic [1816], I.i.ii.2C(b)), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.7
     A reaction: [Second bit in Ency I §11] To clarify this one would need to understand 'so-called'. Note that his claim is not that the world contains occasional contradictions, but that the whole of reality is contradictory. I think this idea is nonsense.
2. Reason / C. Styles of Reason / 1. Dialectic
Dialectic is the instability of thoughts generating their opposite, and then new more complex thoughts [Hegel, by Houlgate]
     Full Idea: The dialectical principle, for Hegel, is the principle whereby apparently stable thoughts reveal their inherent instability by turning into their opposites and then into new, more complex thoughts (as being turns to nothing, and then becoming).
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Stephen Houlgate - An Introduction to Hegel 02 'The Method'
     A reaction: Houlgate says this is unique to Hegel, and is NOT the familiar thesis-antithesis-synthesis idea of dialectic, found in Kant and Engels. Hegelian idea shares the Greek idea of insights arising from oppositions.
Hegel's dialectic is not thesis-antithesis-synthesis, but usually negation of negation of the negation [Hegel, by Moore,AW]
     Full Idea: The dialectic is often described in terms of thesis, antithesis, and synthesis - though this is not a Hegelian way of speaking. Hegel himself sometimes describes it in terms of negation and negation of the negation.
     From: report of Georg W.F.Hegel (Science of Logic [1816], I.i.i.C(c) p.150) by A.W. Moore - The Evolution of Modern Metaphysics 07.4
     A reaction: A footnote says the first form of description only occurs once in Hegel's work. I am guessing that Marx is responsible for the standard misrepresentation.
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
     Full Idea: Three periods can be distinguished in philosophical logic: the syntactic stage, from Russell's definite descriptions to the 1950s, the dominance of possible world semantics from the 50s to 80s, and a current widening of the subject.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 1)
     A reaction: [compressed] I've read elsewhere that the arrival of Tarski's account of truth in 1933, taking things beyond the syntactic, was also a landmark.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
     Full Idea: Logical formalization forces the investigator to make the central philosophical concepts precise. It can also show how some philosophical concepts and objects can be defined in terms of others.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: This is the main rationale of the highly formal and mathematical approach to such things. The downside is when you impose 'precision' on language that was never intended to be precise.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
     Full Idea: A (logical) model is a set with functions and relations defined on it that specify the denotation of the non-logical vocabulary. A series of recursive clauses explicate how truth values of complex sentences are compositionally determined from the parts.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: See the ideas on 'Functions in logic' and 'Relations in logic' (in the alphabetical list) to expand this important idea.
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
     Full Idea: If there is indeed no property of existence that is expressed by the word 'exist', then it makes no sense to ask for its essence.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: As far as I can tell, this was exactly Aristotle's conclusion, so he skirted round the question of 'being qua being', and focused on the nature of objects instead. Grand continental talk of 'Being' doesn't sound very interesting.
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
To grasp an existence, we must consider its non-existence [Hegel, by Houlgate]
     Full Idea: It is only to the extent that we can say that something is not, that we can say what it actually is.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Stephen Houlgate - An Introduction to Hegel 02 'From indeterminate'
     A reaction: A key idea for Hegel, but it leaves me flat. Thinking about the non-being of something throws no light at all for me on the inexpressible actuality of its existence.
Nothing exists, as thinkable and expressible [Hegel]
     Full Idea: Nothing can be thought of, imagined, spoken of, and therefore it is.
     From: Georg W.F.Hegel (Science of Logic [1816], I.i.i.C.1 Rem 3 p.101), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.4
     A reaction: This sounds like Meinong on circular squares. Does this mean that the negation of every truth also somehow exists? I struggle with this idea. Lewis Carroll nailed it.
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
Thinking of nothing is not the same as simply not thinking [Hegel, by Houlgate]
     Full Idea: Thinking of nothing is not the same as simply not thinking. Thought that suspends all its presuppositions and so ends up thinking of nothing determinate still remains thought, albeit utterly indeterminate and inchoate thought.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Stephen Houlgate - An Introduction to Hegel 02 'From indeterminate'
     A reaction: This is the very starting point of Hegel's dialectical inferences in his 'Logic'. It is hard to entirely disagree, though I wonder whether the exercise is actually possible. What are you aware of if you have a thought with no content?
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
The ground of a thing is not another thing, but the first thing's substance or rational concept [Hegel, by Houlgate]
     Full Idea: Hegel's logic reveals that the true ground of something is not something other than it is, but the substance of that thing itself, or the rational concept that makes the thing what it is.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Stephen Houlgate - An Introduction to Hegel 02 'The Method'
     A reaction: This seems to be classic Aristotelian essentialism, though Aristotle was also interested in dependence relations.
7. Existence / D. Theories of Reality / 2. Realism
Kant's thing-in-itself is just an abstraction from our knowledge; things only exist for us [Hegel, by Bowie]
     Full Idea: For Hegel there is no thing-in-itself, because the thing only becomes a something by being for us. Kant's thing-in-itself is the result of abstracting from the thing everything we know about it.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Andrew Bowie - German Philosophy: a very short introduction 3
     A reaction: This seems to pinpoint why Hegel is an idealist philosopher. Frege objected to abstraction for similar reasons. I don't understand how the tree outside my window can only exist 'for me'. I have a much better theory about the tree.
Hegel believe that the genuine categories reveal things in themselves [Hegel, by Houlgate]
     Full Idea: Hegel believed, unlike Kant, that the categories of the understanding, when properly understood, disclose the nature of things in themselves and not just the character of things as they appear to us.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Stephen Houlgate - Hegel p.101
     A reaction: 'Properly understood' sounds like 'no true Scotsman'. This is thoroughgoing idealism, because reality is determined by the activity of the mind, and not from outside. The Hegel story makes more sense if you see the categories as evolutionary.
8. Modes of Existence / A. Relations / 2. Internal Relations
The nature of each category relates itself to another [Hegel]
     Full Idea: In the categories, something through its own nature relates itself to the other.
     From: Georg W.F.Hegel (Science of Logic [1816], p.125), quoted by Stephen Houlgate - Hegel p.99
     A reaction: This is the doctrine of internal relations rejected by Moore and Russell, and also the key idea in Hegel's logic - that ideas give rise to other ideas, without contribution by the thinker.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
     Full Idea: A Tarskian model can in a sense be seen as a model of a possible state of affairs.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: I include this remark to show how possible worlds semantics built on the arrival of model theory.
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
     Full Idea: The notion of a possible worlds model was extended (resulting in the concept of a 'spheres model') in order to obtain a satisfactory logical treatment of counterfactual conditional sentences.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Thus we add 'centred' worlds, and an 'actual' world, to the loose original model. It is important to remember when we discuss 'close' worlds that we are then committed to these presuppositions.
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
     Full Idea: The idea of 'impossible worlds' was introduced into epistemic logic.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Nathan Salmon seems interested in their role in metaphysics (presumably in relation to Meinongian impossible objects, like circular squares, which must necessarily be circular).
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
     Full Idea: Each possible worlds model contains a set of possible worlds. For this reason, possible worlds semantics is often charged with smuggling in heavy metaphysical commitments.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: To a beginner it looks very odd that you should try to explain possibility by constructing a model of it in terms of 'possible' worlds.
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
     Full Idea: When the possible worlds semantics were further extended to model notions of knowledge and of moral obligation, the application was beginning to look distinctly forced and artificial.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 5)
     A reaction: They accept lots of successes in modelling necessity and time.
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
In absolute knowing, the gap between object and oneself closes, producing certainty [Hegel]
     Full Idea: In absolute knowing ...the separation of the object from the certainty of oneself is completely eliminated: truth is now equated with certainty and this certainty with truth.
     From: Georg W.F.Hegel (Science of Logic [1816], p.49), quoted by Stephen Houlgate - An Introduction to Hegel 03 'Absolute'
     A reaction: I don't understand this, but I note it because Hegel is evidently not a fallibilist about knowledge. I take this idea to be Descartes' 'clear and distinct ideas', wearing a grand rhetorical uniform.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The 'absolute idea' is when all the contradictions are exhausted [Hegel, by Bowie]
     Full Idea: The point in philosophy at which the contradictions are exhausted is what Hegel means by the 'absolute idea'.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Andrew Bowie - Introduction to German Philosophy 4 'Questions'
     A reaction: {Can't think of a response to this one)
Hegel, unlike Kant, said how things appear is the same as how things are [Hegel, by Moore,AW]
     Full Idea: Hegel rejected the fundamental Kantian distinction between how things knowably appear and how they unknowably are in themselves. This was anathema to him. For Hegel how things knowably appear is how they manifestly are.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by A.W. Moore - The Evolution of Modern Metaphysics 07.2
     A reaction: We shouldn't assume that Hegel was therefore a realist, because Berkeley would agree with this idea. Hegel rejected transcendental idealism for this reason. Hegel wanted to get rid of the immanent/transcendent distinction
Hegel's non-subjective idealism is the unity of subjective and objective viewpoints [Hegel, by Pinkard]
     Full Idea: The unity of the two points of view (subjective and objective) constitutes Hegel's idealism. ...He kept emphasising that it was not 'subjective' idealism.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Terry Pinkard - German Philosophy 1760-1860 10
     A reaction: Subjective idealism denies the objective point of view. [**20th June 2019, 10:49 am. This is the 20,000th idea in the database. The project was begun in 1997, as organised notes to help with teaching. For the last ten years today has been my target**].
Hegel claimed his system was about the world, but it only mapped conceptual interdependence [Pinkard on Hegel]
     Full Idea: In the view of the later Schelling, although Hegel's system only really laid out the ways in which the senses of various concepts depended on each other, it claimed to be a system about the world itself.
     From: comment on Georg W.F.Hegel (Science of Logic [1816]) by Terry Pinkard - German Philosophy 1760-1860
     A reaction: I'm no expert, but I'm inclined to agree with Schelling. Since I am suspicious of the idea that each concept generates its own negation, I also doubt the accuracy of Hegel's map. I'm a hopeless case.
The Absolute is the primitive system of concepts which are actualised [Hegel, by Gardner]
     Full Idea: In Hegel the Absolute is the exhaustive, unconditioned and self-grounding system of concepts made concrete in actuality, the world of experience.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Sebastian Gardner - Kant and the Critique of Pure Reason 10 'Absolute'
     A reaction: If I collect multiple attempts to explain what the Absolute is, I may one day drift toward a hazy understanding of it. Right now this idea means nothing to me, but I pass it on. His notion of 'concept' seems a long way from the normal modern one.
Authentic thinking and reality have the same content [Hegel]
     Full Idea: Thinking in its immanent determination and the true nature of things form one and the same content.
     From: Georg W.F.Hegel (Science of Logic [1816], p.45), quoted by Stephen Houlgate - Hegel p.101
     A reaction: This is not much use unless we have a crystal clear idea of 'immanent determination', because we need to eliminate errors.
The absolute idea is being, imperishable life, self-knowing truth, and all truth [Hegel]
     Full Idea: The absolute idea alone is being, imperishable life, self-knowing truth, and is all truth. ....All else is error, confusion, opinion, endeavour, caprice, and transitoriness.
     From: Georg W.F.Hegel (Science of Logic [1816], II.iii.3 p.824), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.4
     A reaction: Hegel sounding a bit too much like an over-excited preacher here. The absolute idea seems to be the unified totality of all truths about reality. For Hegel human self-awareness is a big part of that. The idea is being because there is only one substance.
The absolute idea is the great unity of the infinite system of concepts [Hegel, by Moore,AW]
     Full Idea: We can think of the absolute idea roughly as the entire infinite system of interrelated concepts, in their indissoluble unity, as exercised in the self-consciousness towards which the process [of thought] leads. It is the 'telos' of the process.
     From: report of Georg W.F.Hegel (Science of Logic [1816], II.iii.3 p.825) by A.W. Moore - The Evolution of Modern Metaphysics 07.4
     A reaction: This expounds the quotation in Idea 21975. Moore emphasises concepts, where Hegel emphasises the truth. The connection is in Idea 5644.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Hegel's 'absolute idea' is the interdependence of all truths to justify any of them [Hegel, by Bowie]
     Full Idea: Hegel's system culminates in the 'absolute idea', the explanation of why all particular truths depend on the relationship to other truths for their justification.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Andrew Bowie - German Philosophy: a very short introduction 3
     A reaction: The 'hyper-coherence' theory of justification. The normal claim is that there must be considerable local coherence to provide decent support. Hegel's picture sounds like part of the Enlightenment Dream. Is the idea of 'all truths' coherent?
17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism
The concept of mind excludes body, and vice versa [Descartes]
     Full Idea: The concept of body includes nothing at all which belongs to the mind, and the concept of mind includes nothing at all which belongs to the body.
     From: René Descartes (Reply to Fourth Objections [1641], 225)
     A reaction: A headache? Hunger? The mistake, I think, is to regard the mind as entirely conscious, thus creating a sharp boundary between two aspects of our lives. As shown by blindsight, I take many of my central mental operations to be pre- or non-conscious.
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Every concept depends on the counter-concepts of what it is not [Hegel, by Bowie]
     Full Idea: Hegel relies on the claim that every concept depends for its determinacy upon its relation to other concepts which it is not (so that even the concept of being depends, for example, upon the concept of nothing).
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Andrew Bowie - Introduction to German Philosophy 4 'Questions'
     A reaction: How does he know this? A question I keep asking about continental philosophers. The negation concepts must be entirely non-conscious. Which negation concepts are relevant to the concept 'tree'?
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
When we explicate the category of being, we watch a new category emerge [Hegel, by Houlgate]
     Full Idea: For Hegel, by explicating the indeterminate category of being, we do not merely restate in different words what is obviously 'contained' in it; we watch a new category emerge.
     From: report of Georg W.F.Hegel (Science of Logic [1816]) by Stephen Houlgate - An Introduction to Hegel 02 'The Method'
     A reaction: This is obviously a response to Kant's view of analyticity, as merely explicating the contents of the subject of the sentence, without advancing knowledge or conceptual resources. A key idea of Hegel's, which I find unconvincing.