Combining Texts

Ideas for 'Thinking About Mathematics', 'Frege's Concept of Numbers as Objects' and 'In Defence of Convention T'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

13861

Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C]

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

8763	The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

13892

One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy

18249

Cauchy gave a formal definition of a converging sequence. [Shapiro]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts

13867

Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C]