Combining Texts

Ideas for 'The Gettier Problem', 'Philebus' and 'Frege's Concept of Numbers as Objects'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
It is absurd to define a circle, but not be able to recognise a real one [Plato]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
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 / c. Priority of numbers
One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Daily arithmetic counts unequal things, but pure arithmetic equalises them [Plato]