Combining Texts

Ideas for 'Defending the Axioms', 'Completeness of Axioms of Logic' and 'Mathematics, Science and Language'

expand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

5 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

18119

Mathematics is a mental activity which does not use language [Brouwer, by Bostock]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

18118

Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis

17615

Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]

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

17618

Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

17614

The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]