49 ideas
22285 | Impredicative definitions are circular, but fine for picking out, rather than creating something [Potter] |
22301 | The Identity Theory says a proposition is true if it coincides with what makes it true [Potter] |
22324 | It has been unfortunate that externalism about truth is equated with correspondence [Potter] |
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] |
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] |
22279 | Frege's sign |--- meant judgements, but the modern |- turnstile means inference, with intecedents [Potter] |
22291 | Deductivism can't explain how the world supports unconditional conclusions [Potter] |
10703 | Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter] |
22295 | Modern logical truths are true under all interpretations of the non-logical words [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] |
22310 | The formalist defence against Gödel is to reject his metalinguistic concept of truth [Potter] |
22298 | Why is fictional arithmetic applicable to the real world? [Potter] |
22287 | If 'concrete' is the negative of 'abstract', that means desires and hallucinations are concrete [Potter] |
13043 | A relation is a set consisting entirely of ordered pairs [Potter] |
22284 | 'Greater than', which is the ancestral of 'successor', strictly orders the natural numbers [Potter] |
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] |
22281 | A material conditional cannot capture counterfactual reasoning [Potter] |
21912 | Fichte, Schelling and Hegel rejected transcendental idealism [Lewis,PB] |
21911 | Fichte, Hegel and Schelling developed versions of Absolute Idealism [Lewis,PB] |
22327 | Knowledge from a drunken schoolteacher is from a reliable and unreliable process [Potter] |
22273 | Traditionally there are twelve categories of judgement, in groups of three [Potter] |
22290 | The phrase 'the concept "horse"' can't refer to a concept, because it is saturated [Potter] |
22283 | Compositionality should rely on the parsing tree, which may contain more than sentence components [Potter] |
22282 | 'Direct compositonality' says the components wholly explain a sentence meaning [Potter] |
22296 | Compositionality is more welcome in logic than in linguistics (which is more contextual) [Potter] |
20289 | Ethics is universalisable - it must involve an impartial and universal view of things [Singer] |
20286 | Following an inner voice for morality is irresponsible in a rational agent [Singer] |
20282 | The sanctity of a human life depends either on being of our species, or on being a person [Singer] |
20278 | 'Marginal utility' says something is more useful if it is in short supply [Singer] |
20281 | Why should I do anything for posterity? What has posterity ever done for me? [Singer] |
20276 | Conflict of rules might be avoided by greater complexity, or by a hierarchy of rules [Singer] |
20290 | Psychopaths may just be bored, because they cannot participate in normal emotional life [Singer] |
20288 | You can't condemn violent revolution without assessing the evils it prevents [Singer] |
21997 | In Marxism the state will be superseded [Singer] |
20287 | If 49% of the population can be wrong, so can 51% [Singer] |
21993 | Materialist history says we are subject to incomprehensible forces [Singer] |
20277 | Equality of interests is a minimal principle, not implying equal treatment [Singer] |
20279 | Equality of opportunity unfairly rewards those lucky enough to have great ability [Singer] |
20285 | If a right entails having the relevant desire, many creatures might have no right to life [Singer] |
20284 | Why should a potential person have the rights of an actual person? [Singer] |
20283 | Killing a chimp is worse than killing a human too defective to be a person [Singer] |