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All the ideas for 'works', 'The Nature of Mathematics' and 'A New Kind of Science'

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30 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
19635 Hegel produced modern optimism; he failed to grasp that consciousness never progresses [Hegel, by Cioran]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / d. Nineteenth century philosophy
8215 Hegel was the last philosopher of the Book [Hegel, by Derrida]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
16011 Hegel doesn't storm the heavens like the giants, but works his way up by syllogisms [Kierkegaard on Hegel]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
5433 For Hegel, things are incomplete, and contain external references in their own nature [Hegel, by Russell]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
3301 On the continent it is generally believed that metaphysics died with Hegel [Benardete,JA on Hegel]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
14782 Philosophy is an experimental science, resting on common experience [Peirce]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
19661 Making sufficient reason an absolute devalues the principle of non-contradiction [Hegel, by Meillassoux]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
14787 Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction [Peirce]
2. Reason / C. Styles of Reason / 1. Dialectic
20952 Rather than in three stages, Hegel presented his dialectic as 'negation of the negation' [Hegel, by Bowie]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
14783 Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
21777 Negation of negation doubles back into a self-relationship [Hegel, by Houlgate]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
20660 At one level maths and nature are very similar, suggesting some deeper origin [Wolfram]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
14788 Mathematics is close to logic, but is even more abstract [Peirce]
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
5645 The dialectical opposition of being and nothing is resolved in passing to the concept of becoming [Hegel, by Scruton]
7. Existence / A. Nature of Existence / 5. Reason for Existence
5646 Hegel gives an ontological proof of the existence of everything [Hegel, by Scruton]
7. Existence / E. Categories / 4. Category Realism
21755 For Hegel, categories shift their form in the course of history [Hegel, by Houlgate]
21754 Our concepts and categories disclose the world, because we are part of the world [Hegel, by Houlgate]
7. Existence / E. Categories / 5. Category Anti-Realism
22079 Hegel said Kant's fixed categories actually vary with culture and era [Hegel, by Houlgate]
10. Modality / B. Possibility / 1. Possibility
14786 Some logical possibility concerns single propositions, but there is also compatibility between propositions [Peirce]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
9225 Hegel reputedly claimed to know a priori that there are five planets [Hegel, by Field,H]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
14789 Experience is indeed our only source of knowledge, provided we include inner experience [Peirce]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
14785 The world is one of experience, but experiences are always located among our ideas [Peirce]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
14784 Ethics is the science of aims [Peirce]
23. Ethics / F. Existentialism / 1. Existentialism
21758 Humans have no fixed identity, but produce and reveal their shifting identity in history [Hegel, by Houlgate]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
20414 Hegel's Absolute Spirit is the union of human rational activity at a moment, and whatever that sustains [Hegel, by Eldridge]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
3909 Society isn’t founded on a contract, since contracts presuppose a society [Hegel, by Scruton]
26. Natural Theory / A. Speculations on Nature / 1. Nature
4347 When man wills the natural, it is no longer natural [Hegel]
27. Natural Reality / C. Space / 4. Substantival Space
20659 Space and its contents seem to be one stuff - so space is the only existing thing [Wolfram]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
4188 Hegel's entire philosophy is nothing but a monstrous amplification of the ontological proof [Schopenhauer on Hegel]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
6686 Hegel said he was offering an encyclopaedic rationalisation of Christianity [Hegel, by Graham]