32 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] |
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] |
10563 | A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K] |
20339 | Classes rarely share properties with their members - unlike universals and types [Wollheim] |
5052 | When Gentiles follow the law, they must have the law written in their hearts [Paul] |
20338 | We often treat a type as if it were a sort of token [Wollheim] |
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] |
20342 | Interpretation is performance for some arts, and critical for all arts [Wollheim] |
20343 | A love of nature must precede a love of art [Wollheim] |
20348 | A criterion of identity for works of art would be easier than a definition [Wollheim] |
20347 | If beauty needs organisation, then totally simple things can't be beautiful [Wollheim] |
20345 | Some say art must have verbalisable expression, and others say the opposite! [Wollheim] |
20331 | It is claimed that the expressive properties of artworks are non-physical [Wollheim] |
20336 | Style can't be seen directly within a work, but appreciation needs a grasp of style [Wollheim] |
20337 | The traditional view is that knowledge of its genre to essential to appreciating literature [Wollheim] |
20333 | If artworks are not physical objects, they are either ideal entities, or collections of phenomena [Wollheim] |
20334 | The ideal theory says art is an intuition, shaped by a particular process, and presented in public [Wollheim] |
20335 | The ideal theory of art neglects both the audience and the medium employed [Wollheim] |
20340 | A musical performance has virtually the same features as the piece of music [Wollheim] |
20341 | An interpretation adds further properties to the generic piece of music [Wollheim] |
20332 | A drawing only represents Napoleon if the artist intended it to [Wollheim] |
7572 | Power is ordained by God, so anyone who resists power resists God, and will be damned [Paul] |