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Full Idea
The fact that two apparently fruitful mathematical themes turn out to coincide makes it all the more likely that they're tracking a genuine strain of mathematical depth.
Gist of Idea
If two mathematical themes coincide, that suggest a single deep truth
Source
Penelope Maddy (Defending the Axioms [2011], 5.3ii)
Book Ref
Maddy,Penelope: 'Defending the Axioms' [OUP 2013], p.129
| 17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
| 17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
| 17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
| 17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
| 17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
| 17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
| 17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |