19 ideas
17596 | Coherence problems have positive and negative restraints; solutions maximise constraint satisfaction [Thagard] |
17597 | Coherence is explanatory, deductive, conceptual, analogical, perceptual, and deliberative [Thagard] |
17598 | Explanatory coherence needs symmetry,explanation,analogy,data priority, contradiction,competition,acceptance [Thagard] |
17602 | Verisimilitude comes from including more phenomena, and revealing what underlies [Thagard] |
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] |
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] |
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] |
17601 | Neither a priori rationalism nor sense data empiricism account for scientific knowledge [Thagard] |
17600 | Bayesian inference is forced to rely on approximations [Thagard] |
17599 | The best theory has the highest subjective (Bayesian) probability? [Thagard] |