Combining Texts

Ideas for 'fragments/reports', 'Causal Powers' and 'Must We Believe in Set Theory?'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number

15273

Points can be 'dense' by unending division, but must meet a tougher criterion to be 'continuous' [Harré/Madden]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts

15274

Points are 'continuous' if any 'cut' point participates in both halves of the cut [Harré/Madden]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

10491

Infinite natural numbers is as obvious as infinite sentences in English [Boolos]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

10483

Mathematics and science do not require very high orders of infinity [Boolos]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

10490

Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / e. Psychologism

15211

There is not an exclusive dichotomy between the formal and the logical [Harré/Madden]