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'On the Moral and Legal State of Abortion', 'Physics' and 'The Principles of Mathematics'
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5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
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Mathematics doesn't care whether its entities exist [Russell]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
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Ten sheep and ten dogs are the same numerically, but it is not the same ten [Aristotle]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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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
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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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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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