22 ideas
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] |
22180 | Multiple realisability is said to make reduction impossible [Okasha] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
22177 | Randomised Control Trials have a treatment and a control group, chosen at random [Okasha] |
22172 | Not all sciences are experimental; astronomy relies on careful observation [Okasha] |
22174 | The discoverers of Neptune didn't change their theory because of an anomaly [Okasha] |
22175 | Science mostly aims at confirming theories, rather than falsifying them [Okasha] |
22182 | Theories with unobservables are underdetermined by the evidence [Okasha] |
22185 | Two things can't be incompatible if they are incommensurable [Okasha] |
22176 | Induction is inferences from examined to unexamined instances of a given kind [Okasha] |
22178 | If the rules only concern changes of belief, and not the starting point, absurd views can look ratiional [Okasha] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
22173 | Galileo refuted the Aristotelian theory that heavier objects fall faster [Okasha] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |