Combining Texts

All the ideas for '04: Gospel of St John', 'Realism in Mathematics' and 'Investigations into Logical Deduction'

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7 ideas

2. Reason / A. Nature of Reason / 2. Logos

6294	In the beginning was the Word, and the Word was with God, and the word was God [John]

3. Truth / A. Truth Problems / 2. Defining Truth

8821	Jesus said he bore witness to the truth. Pilate asked, What is truth? [John]

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 / H. Proof Systems / 4. Natural Deduction

13832

Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]

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]