31 ideas
| 22138 | Science rests on scholastic metaphysics, not on Hume, Kant or Carnap [Boulter] |
| 9572 | Realists about sets say there exists a null set in the real world, with no members [Chihara] |
| 9550 | We only know relational facts about the empty set, but nothing intrinsic [Chihara] |
| 9562 | In simple type theory there is a hierarchy of null sets [Chihara] |
| 9573 | The null set is a structural position which has no other position in membership relation [Chihara] |
| 9551 | What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara] |
| 9549 | The set theorist cannot tell us what 'membership' is [Chihara] |
| 9571 | ZFU refers to the physical world, when it talks of 'urelements' [Chihara] |
| 18151 | Could we replace sets by the open sentences that define them? [Chihara, by Bostock] |
| 9563 | A pack of wolves doesn't cease when one member dies [Chihara] |
| 8758 | We could talk of open sentences, instead of sets [Chihara, by Shapiro] |
| 9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
| 9552 | Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara] |
| 9553 | Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara] |
| 10192 | We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride] |
| 10265 | Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro] |
| 8759 | We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro] |
| 10264 | Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro] |
| 9559 | If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara] |
| 9566 | No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara] |
| 22134 | Thoughts are general, but the world isn't, so how can we think accurately? [Boulter] |
| 22150 | Logical possibility needs the concepts of the proposition to be adequate [Boulter] |
| 22139 | Experiments don't just observe; they look to see what interventions change the natural order [Boulter] |
| 22136 | Science begins with sufficient reason, de-animation, and the importance of nature [Boulter] |
| 20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |
| 22135 | Our concepts can never fully capture reality, but simplification does not falsify [Boulter] |
| 9568 | I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara] |
| 9547 | Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara] |
| 22152 | Aristotelians accept the analytic-synthetic distinction [Boulter] |
| 22156 | The facts about human health are the measure of the values in our lives [Boulter] |
| 9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |