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Ideas for
'Parmenides', 'Political Philosophy: all that matters' and 'The Principles of Mathematics'
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5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
16150
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One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
14162
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Mathematics doesn't care whether its entities exist [Russell]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
14103
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Pure mathematics is the class of propositions of the form 'p implies q' [Russell]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
21555
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For 'x is a u' to be meaningful, u must be one range of individuals (or 'type') higher than x [Russell]
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18003
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In 'x is a u', x and u must be of different types, so 'x is an x' is generally meaningless [Russell, by Magidor]
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