Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'The Rationalists' and 'Grundlagen (Foundations of Theory of Manifolds)'

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7 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics

21959

Metaphysics is the most general attempt to make sense of things [Moore,AW]

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 / 3. Nature of Numbers / e. Ordinal numbers

15911

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

9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance

4304	Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism

21958

Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]

12. Knowledge Sources / C. Rationalism / 1. Rationalism

4303	The notion of substance lies at the heart of rationalist metaphysics [Cottingham]

26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity

4306	For rationalists, it is necessary that effects be deducible from their causes [Cottingham]