Combining Texts

All the ideas for 'Noneism or Allism?', 'Letters to De Vries' and 'Realism in Mathematics'

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9 ideas

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 / 4. Substitutional Quantification

15533

We can quantify over fictions by quantifying for real over their names [Lewis]

5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification

15534

We could quantify over impossible objects - as bundles of properties [Lewis]

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]

7. Existence / A. Nature of Existence / 1. Nature of Existence

15532

'Allists' embrace the existence of all controversial entities; 'noneists' reject all but the obvious ones [Lewis]

7. Existence / A. Nature of Existence / 2. Types of Existence

15535

We can't accept a use of 'existence' that says only some of the things there are actually exist [Lewis]

9. Objects / D. Essence of Objects / 14. Knowledge of Essences

4869	Experience does not teach us any essences of things [Spinoza]