Combining Philosophers
Ideas for Archimedes, John Locke and James Robert Brown
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6 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 / m. One
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12488
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The idea of 'one' is the simplest, most obvious and most widespread idea [Locke]
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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 / d. Actual infinite
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12489
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If there were real infinities, you could add two together, which is ridiculous [Locke]
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