Combining Texts

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

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9 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan]
The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
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 / C. Rationalism / 1. Rationalism
The notion of substance lies at the heart of rationalist metaphysics [Cottingham]
19. Language / F. Communication / 1. Rhetoric
Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
Destroy seriousness with laughter, and laughter with seriousness [Gorgias]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
For rationalists, it is necessary that effects be deducible from their causes [Cottingham]