40 ideas
| 10571 | Concern for rigour can get in the way of understanding phenomena [Fine,K] |
| 10565 | There is no stage at which we can take all the sets to have been generated [Fine,K] |
| 10564 | We might combine the axioms of set theory with the axioms of mereology [Fine,K] |
| 10569 | If you ask what F the second-order quantifier quantifies over, you treat it as first-order [Fine,K] |
| 10570 | Assigning an entity to each predicate in semantics is largely a technical convenience [Fine,K] |
| 10573 | Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K] |
| 10575 | Why should a Dedekind cut correspond to a number? [Fine,K] |
| 10574 | Unless we know whether 0 is identical with the null set, we create confusions [Fine,K] |
| 17518 | Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers] |
| 17516 | If counting needs a sortal, what of things which fall under two sortals? [Ayers] |
| 10560 | Set-theoretic imperialists think sets can represent every mathematical object [Fine,K] |
| 10568 | Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K] |
| 17520 | Events do not have natural boundaries, and we have to set them [Ayers] |
| 10563 | A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K] |
| 17519 | To express borderline cases of objects, you need the concept of an 'object' [Ayers] |
| 17510 | Speakers need the very general category of a thing, if they are to think about it [Ayers] |
| 17522 | We use sortals to classify physical objects by the nature and origin of their unity [Ayers] |
| 17515 | Seeing caterpillar and moth as the same needs continuity, not identity of sortal concepts [Ayers] |
| 17511 | Recognising continuity is separate from sortals, and must precede their use [Ayers] |
| 17517 | Could the same matter have more than one form or principle of unity? [Ayers] |
| 17513 | If there are two objects, then 'that marble, man-shaped object' is ambiguous [Ayers] |
| 17523 | Sortals basically apply to individuals [Ayers] |
| 17521 | You can't have the concept of a 'stage' if you lack the concept of an object [Ayers] |
| 17514 | Temporal 'parts' cannot be separated or rearranged [Ayers] |
| 17509 | Some say a 'covering concept' completes identity; others place the concept in the reference [Ayers] |
| 17512 | If diachronic identities need covering concepts, why not synchronic identities too? [Ayers] |
| 20189 | Belief is a feeling, independent of the will, which arises from uncontrolled and unknown causes [Hume] |
| 21309 | A proposition cannot be intelligible or consistent, if the perceptions are not so [Hume] |
| 15755 | Hume needs a notion which includes degrees of resemblance [Shoemaker on Hume] |
| 5323 | Experiences are logically separate, but factually linked by simultaneity or a feeling of continuousness [Ayer on Hume] |
| 21311 | Are self and substance the same? Then how can self remain if substance changes? [Hume] |
| 21312 | Perceptions are distinct, so no connection between them can ever be discovered [Hume] |
| 21308 | We have no impression of the self, and we therefore have no idea of it [Hume] |
| 21310 | Does an oyster with one perception have a self? Would lots of perceptions change that? [Hume] |
| 10561 | Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K] |
| 10562 | We can combine ZF sets with abstracts as urelements [Fine,K] |
| 10567 | We can create objects from conditions, rather than from concepts [Fine,K] |
| 23115 | We have no natural love of mankind, other than through various relationships [Hume] |
| 16946 | Causation is just invariance, as long as it is described in general terms [Quine on Hume] |
| 15250 | If impressions, memories and ideas only differ in vivacity, nothing says it is memory, or repetition [Whitehead on Hume] |