15 ideas
12456 | I aim to establish certainty for mathematical methods [Hilbert] |
12461 | We believe all mathematical problems are solvable [Hilbert] |
12462 | Only the finite can bring certainty to the infinite [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] |
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] |
14296 | Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
8830 | A belief can be justified when the person has forgotten the evidence for it [Goldman] |
8832 | If justified beliefs are well-formed beliefs, then animals and young children have them [Goldman] |
8829 | Justification depends on the reliability of its cause, where reliable processes tend to produce truth [Goldman] |
8831 | Introspection is really retrospection; my pain is justified by a brief causal history [Goldman] |