Combining Texts

All the ideas for 'fragments/reports', 'The Rationalists' and 'Russell'

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6 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Two propositions might seem self-evident, but contradict one another [Grayling]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
The notion of substance lies at the heart of rationalist metaphysics [Cottingham]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
For rationalists, it is necessary that effects be deducible from their causes [Cottingham]