Combining Texts

Ideas for 'Mathematics without Numbers', 'Causal Powers' and 'Problems of Knowledge'

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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 / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8698	Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]

9557	Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]

10263

Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]

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]