Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'An Axiomatization of Set Theory' and 'Kant and the Critique of Pure Reason'

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11 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 / 5. Conceptions of Set / f. Limitation of Size

15943

Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]

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

21444

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

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

13672

All the axioms for mathematics presuppose set theory [Neumann]

7. Existence / A. Nature of Existence / 5. Reason for Existence

19400

Possibles demand existence, so as many of them as possible must actually exist [Leibniz]

19401

God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]

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

21453

Leibnizian monads qualify as Kantian noumena [Gardner]

10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds

19402

The actual universe is the richest composite of what is possible [Leibniz]