45 ideas
22701 | Jokes can sometimes be funny because they are offensive [Jacobson,D] |
6420 | Only by analysing is progress possible in philosophy [Russell] |
6432 | Analysis gives new knowledge, without destroying what we already have [Russell] |
6437 | The theory of types makes 'Socrates and killing are two' illegitimate [Russell] |
6442 | Truth belongs to beliefs, not to propositions and sentences [Russell] |
10702 | Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter] |
10713 | Usually the only reason given for accepting the empty set is convenience [Potter] |
13044 | Infinity: There is at least one limit level [Potter] |
10708 | Nowadays we derive our conception of collections from the dependence between them [Potter] |
13546 | The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter] |
6436 | I gradually replaced classes with properties, and they ended as a symbolic convenience [Russell] |
10707 | Mereology elides the distinction between the cards in a pack and the suits [Potter] |
10704 | We can formalize second-order formation rules, but not inference rules [Potter] |
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] |
10703 | Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter] |
10712 | If set theory didn't found mathematics, it is still needed to count infinite sets [Potter] |
17882 | It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter] |
6423 | We tried to define all of pure maths using logical premisses and concepts [Russell] |
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] |
6434 | Facts are everything, except simples; they are either relations or qualities [Russell] |
13043 | A relation is a set consisting entirely of ordered pairs [Potter] |
6440 | Universals can't just be words, because words themselves are universals [Russell] |
13042 | If dependence is well-founded, with no infinite backward chains, this implies substances [Potter] |
13041 | Collections have fixed members, but fusions can be carved in innumerable ways [Potter] |
10709 | Priority is a modality, arising from collections and members [Potter] |
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] |
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] |
22703 | We don't often respond to events in art as if they were real events [Jacobson,D] |
22702 | Audiences can be too moral [Jacobson,D] |
22696 | 'Autonomism' says the morality is irrelevant to the aesthetics [Jacobson,D] |
22697 | Moral defects of art can be among its aesthetic virtues [Jacobson,D] |
22700 | Immoral art encourages immoral emotions [Jacobson,D] |
22699 | Moderate moralism says moral qualities can sometimes also be aesthetic qualities [Jacobson,D] |
22698 | We can judge art ethically, or rate its ethical influence, or assess its quality via its ethics [Jacobson,D] |