Combining Texts

Ideas for 'The Lagoon: how Aristotle invented science', 'The Aim and Structure of Physical Theory' and 'The Principles of Mathematics'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

14162

Mathematics doesn't care whether its entities exist [Russell]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

14103

Pure mathematics is the class of propositions of the form 'p implies q' [Russell]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory

21555

For 'x is a u' to be meaningful, u must be one range of individuals (or 'type') higher than x [Russell]

18003

In 'x is a u', x and u must be of different types, so 'x is an x' is generally meaningless [Russell, by Magidor]