Combining Texts
Ideas for
'Structures and Structuralism in Phil of Maths', 'Philosophy of Mathematics' and 'The Republic'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
9604
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Mathematics is the only place where we are sure we are right [Brown,JR]
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6. Mathematics / A. Nature of Mathematics / 2. Geometry
8726
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Geometry can lead the mind upwards to truth and philosophy [Plato]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
9622
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'There are two apples' can be expressed logically, with no mention of numbers [Brown,JR]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
10165
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'Analysis' is the theory of the real numbers [Reck/Price]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / n. Pi
9648
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π is a 'transcendental' number, because it is not the solution of an equation [Brown,JR]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
9621
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Mathematics represents the world through structurally similar models. [Brown,JR]
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