Combining Texts

Ideas for 'works', 'Realism in Mathematics' and 'The Ethics'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics deals with the essences and properties of forms [Spinoza]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The sum of its angles follows from a triangle's nature [Spinoza]
The idea of a triangle involves truths about it, so those are part of its essence [Spinoza]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]