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Ideas for 'works', 'Politics' and 'Philosophy of Mathematics'

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9 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

9606	The irrationality of root-2 was achieved by intellect, not experience [Brown,JR]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

9612	There is an infinity of mathematical objects, so they can't be physical [Brown,JR]

9610	Numbers are not abstracted from particulars, because each number is a particular [Brown,JR]

6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival

9620	Empiricists base numbers on objects, Platonists base them on properties [Brown,JR]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

9639	Does some mathematics depend entirely on notation? [Brown,JR]

9629	For nomalists there are no numbers, only numerals [Brown,JR]

9630	The most brilliant formalist was Hilbert [Brown,JR]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

9608	There are no constructions for many highly desirable results in mathematics [Brown,JR]

9645	Constructivists say p has no value, if the value depends on Goldbach's Conjecture [Brown,JR]