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Ideas for
'Defending the Axioms', 'Significance of the Kripkean Nec A Posteriori' and 'Philosophy of Mathematics'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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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 / 3. Nature of Numbers / a. Numbers
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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 / n. Pi
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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
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9621
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Mathematics represents the world through structurally similar models. [Brown,JR]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
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17615
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Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
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