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
9867
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It is absurd to define a circle, but not be able to recognise a real one [Plato]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
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Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
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One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
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Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
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Daily arithmetic counts unequal things, but pure arithmetic equalises them [Plato]
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