Combining Texts

All the ideas for 'Science and Method', 'The Rationalists' and 'There Are No Abstract Objects'

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7 ideas

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

10245

One geometry cannot be more true than another [Poincaré]

8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta

14596

Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr]

8. Modes of Existence / E. Nominalism / 5. Class Nominalism

14597

Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr]

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]

10. Modality / A. Necessity / 11. Denial of Necessity

14598

Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr]

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]