Combining Texts

All the ideas for 'poems', 'Grundlagen (Foundations of Theory of Manifolds)' and 'Kant and the Critique of Pure Reason'

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9 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy

21463

Hamann, Herder and Jacobi were key opponents of the Enlightenment [Gardner]

21459

Kant halted rationalism, and forced empiricists to worry about foundations [Gardner]

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems

21460

Only Kant and Hegel have united nature, morals, politics, aesthetics and religion [Gardner]

2. Reason / E. Argument / 2. Transcendental Argument

21443

Transcendental proofs derive necessities from possibilities (e.g. possibility of experiencing objects) [Gardner]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15946

Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]

6. Mathematics / A. Nature of Mathematics / 2. Geometry

21444

Modern geoemtry is either 'pure' (and formal), or 'applied' (and a posteriori) [Gardner]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads

21453

Leibnizian monads qualify as Kantian noumena [Gardner]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention

6017	Nomos is king [Pindar]