26 ideas
22140 | The greatest philosophers are methodical; it is what makes them great [Grice] |
6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
6303 | Sets are positions in patterns [Resnik] |
6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
13856 | Conditionals are truth-functional, but we must take care with misleading ones [Grice, by Edgington] |
8948 | The odd truth table for material conditionals is explained by conversational conventions [Grice, by Fisher] |
13767 | Conditionals might remain truth-functional, despite inappropriate conversational remarks [Edgington on Grice] |
10990 | Conditionals are truth-functional, but unassertable in tricky cases? [Grice, by Read] |
14277 | A person can be justified in believing a proposition, though it is unreasonable to actually say it [Grice, by Edgington] |
7751 | Meaning needs an intention to induce a belief, and a recognition that this is the speaker's intention [Grice] |
7752 | Only the utterer's primary intention is relevant to the meaning [Grice] |
7753 | We judge linguistic intentions rather as we judge non-linguistic intentions, so they are alike [Grice] |
22330 | Grice said patterns of use are often semantically irrelevant, because it is a pragmatic matter [Grice, by Glock] |
18045 | Grice's maxim of quality says do not assert what you believe to be false [Grice, by Magidor] |
18044 | Grice's maxim of manner requires one to be as brief as possible [Grice, by Magidor] |
10991 | Key conversational maxims are 'quality' (assert truth) and 'quantity' (leave nothing out) [Grice, by Read] |
18046 | Grice's maxim of quantity says be sufficiently informative [Grice, by Magidor] |
23395 | Mohists desire wealth, population and social order as the best consequences [Mozi, by Norden] |
23394 | If people regarded other states as they did their own, they would never attack them [Mozi] |
23396 | Mozi condemns partiality, which is the cause of all the great harms in the world [Mozi] |
23397 | Those who are against impartiality still prefer impartial protectors [Mozi] |