10 ideas
13418 | The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C] |
18170 | The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine] |
13419 | If functions are transfinite objects, finitists can have no conception of them [Parsons,C] |
10502 | We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P] |
13417 | If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C] |
18258 | We can only know the exterior world via our ideas [Arnauld,A/Nicole,P] |
16784 | Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P] |
10499 | We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P] |
10501 | A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P] |
10500 | No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P] |