21 ideas
12456 | I aim to establish certainty for mathematical methods [Hilbert] |
12461 | We believe all mathematical problems are solvable [Hilbert] |
13445 | Descartes showed a one-one order-preserving match between points on a line and the real numbers [Descartes, by Hart,WD] |
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] |
16774 | Descartes thinks distinguishing substances from aggregates is pointless [Descartes, by Pasnau] |
12732 | Some necessary truths are brute, and others derive from final causes [Leibniz] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
7400 | Descartes said images can refer to objects without resembling them (as words do) [Descartes, by Tuck] |
19438 | Our large perceptions and appetites are made up tiny unconscious fragments [Leibniz] |
4310 | We have inner awareness of our freedom [Descartes] |
6553 | Descartes discussed the interaction problem, and compared it with gravity [Descartes, by Lycan] |
19415 | Passions reside in confused perceptions [Leibniz] |
19676 | Nature is devoid of thought [Descartes, by Meillassoux] |
6518 | Matter can't just be Descartes's geometry, because a filler of the spaces is needed [Robinson,H on Descartes] |
19439 | God produces possibilities, and thus ideas [Leibniz] |