Combining Texts

Ideas for 'Truth and the Past', 'Letters to Bentley' and 'Causal Powers'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
We can talk of 'innumerable number', about the infinite points on a line [Newton]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
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
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
Not all infinites are equal [Newton]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists rely on the proof of mathematical statements, not their truth [Dummett]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / e. Psychologism
There is not an exclusive dichotomy between the formal and the logical [Harré/Madden]