24 ideas
3993 | Arguments are nearly always open to challenge, but they help to explain a position rather than force people to believe [Lewis] |
9390 | Logic guides thinking, but it isn't a substitute for it [Rumfitt] |
12456 | I aim to establish certainty for mathematical methods [Hilbert] |
12461 | We believe all mathematical problems are solvable [Hilbert] |
9633 | No one shall drive us out of the paradise the Cantor has created for us [Hilbert] |
12460 | We extend finite statements with ideal ones, in order to preserve our logic [Hilbert] |
12462 | Only the finite can bring certainty to the infinite [Hilbert] |
12455 | The idea of an infinite totality is an illusion [Hilbert] |
12457 | There is no continuum in reality to realise the infinitely small [Hilbert] |
12459 | The subject matter of mathematics is immediate and clear concrete symbols [Hilbert] |
18112 | Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert] |
3990 | The whole truth supervenes on the physical truth [Lewis] |
3991 | Where pixels make up a picture, supervenience is reduction [Lewis] |
9389 | Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
3995 | A mind is an organ of representation [Lewis] |
3994 | Human pain might be one thing; Martian pain might be something else [Lewis] |
3989 | I am a reductionist about mind because I am an a priori reductionist about everything [Lewis] |
3992 | Folk psychology makes good predictions, by associating mental states with causal roles [Lewis] |
3996 | Folk psychology doesn't say that there is a language of thought [Lewis] |
3998 | If you don't share an external world with a brain-in-a-vat, then externalism says you don't share any beliefs [Lewis] |
3997 | Nothing shows that all content is 'wide', or that wide content has logical priority [Lewis] |
3999 | A spontaneous duplicate of you would have your brain states but no experience, so externalism would deny him any beliefs [Lewis] |
4000 | Wide content derives from narrow content and relationships with external things [Lewis] |