39 ideas
6420 | Only by analysing is progress possible in philosophy [Russell] |
6432 | Analysis gives new knowledge, without destroying what we already have [Russell] |
10571 | Concern for rigour can get in the way of understanding phenomena [Fine,K] |
6437 | The theory of types makes 'Socrates and killing are two' illegitimate [Russell] |
6442 | Truth belongs to beliefs, not to propositions and sentences [Russell] |
10565 | There is no stage at which we can take all the sets to have been generated [Fine,K] |
6436 | I gradually replaced classes with properties, and they ended as a symbolic convenience [Russell] |
10564 | We might combine the axioms of set theory with the axioms of mereology [Fine,K] |
7528 | Leibniz bases everything on subject/predicate and substance/property propositions [Russell] |
6439 | Names are meaningless unless there is an object which they designate [Russell] |
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] |
6423 | We tried to define all of pure maths using logical premisses and concepts [Russell] |
10568 | Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K] |
6424 | Formalists say maths is merely conventional marks on paper, like the arbitrary rules of chess [Russell] |
6425 | Formalism can't apply numbers to reality, so it is an evasion [Russell] |
6426 | Intuitionism says propositions are only true or false if there is a method of showing it [Russell] |
6419 | In 1899-1900 I adopted the philosophy of logical atomism [Russell] |
6438 | Complex things can be known, but not simple things [Russell] |
10563 | A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K] |
6434 | Facts are everything, except simples; they are either relations or qualities [Russell] |
6440 | Universals can't just be words, because words themselves are universals [Russell] |
6430 | In epistemology we should emphasis the continuity between animal and human minds [Russell] |
6441 | Pragmatism judges by effects, but I judge truth by causes [Russell] |
6431 | Empiricists seem unclear what they mean by 'experience' [Russell] |
6444 | True belief about the time is not knowledge if I luckily observe a stopped clock at the right moment [Russell] |
6433 | Behaviourists struggle to explain memory and imagination, because they won't admit images [Russell] |
6443 | Surprise is a criterion of error [Russell] |
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] |
6427 | Unverifiable propositions about the remote past are still either true or false [Russell] |
6435 | You can believe the meaning of a sentence without thinking of the words [Russell] |
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] |