19 ideas
13931 | By using aporiai as his start, Aristotle can defer to the wise, as well as to the many [Haslanger] |
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] |
13925 | Ontology disputes rest on more basic explanation disputes [Haslanger] |
13924 | The persistence of objects seems to be needed if the past is to explain the present [Haslanger] |
13930 | Persistence makes change and its products intelligible [Haslanger] |
13927 | We must explain change amongst 'momentary entities', or else the world is inexplicable [Haslanger] |
13928 | If the things which exist prior to now are totally distinct, they need not have existed [Haslanger] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
13929 | Natural explanations give the causal interconnections [Haslanger] |
13926 | Best explanations, especially natural ones, need grounding, notably by persistent objects [Haslanger] |
4366 | We can't accept Aristotle's naturalism about persons, because it is normative and unscientific [Williams,B, by Hursthouse] |