13 ideas
| 17833 | The first-order ZF axiomatisation is highly non-categorical [Hallett,M] |
| 17834 | Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M] |
| 17837 | Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M] |
| 17836 | The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M] |
| 19544 | Closure says if you know P, and also know P implies Q, then you must know Q [Dretske] |
| 19545 | We needn't regret the implications of our regrets; regretting drinking too much implies the past is real [Dretske] |
| 19547 | Reasons for believing P may not transmit to its implication, Q [Dretske] |
| 19546 | Knowing by visual perception is not the same as knowing by implication [Dretske] |
| 19548 | The only way to preserve our homely truths is to abandon closure [Dretske] |
| 19549 | P may imply Q, but evidence for P doesn't imply evidence for Q, so closure fails [Dretske] |
| 19550 | We know past events by memory, but we don't know the past is real (an implication) by memory [Dretske] |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |