16 ideas
8833 | Why should we prefer coherent beliefs? [Klein,P] |
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] |
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] |
8834 | Infinitism avoids a regress, circularity or arbitrariness, by saying warrant just increases [Klein,P] |
8838 | If justification is endless, no link in the chain is ultimately justified [Ginet on Klein,P] |
8839 | Reasons acquire warrant through being part of a lengthening series [Klein,P] |