Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'On Recent German Literature. Fragments' and 'Realism in Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts

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6 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis

20947

Thoughts are learnt through words, so language shows the limits and shape of our knowledge [Herder]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

8755	Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

14235

Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

10718

A natural number is a property of sets [Maddy, by Oliver]

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics

8756	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

17733

We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]