34 ideas
18334 | The truth-maker idea is usually justified by its explanatory power, or intuitive appeal [Rami] |
18335 | There are five problems which the truth-maker theory might solve [Rami] |
18339 | The truth-making relation can be one-to-one, or many-to-many [Rami] |
18333 | Central idea: truths need truthmakers; and possibly all truths have them, and makers entail truths [Rami] |
18342 | Most theorists say that truth-makers necessitate their truths [Rami] |
18340 | It seems best to assume different kinds of truth-maker, such as objects, facts, tropes, or events [Rami] |
18341 | Truth-makers seem to be states of affairs (plus optional individuals), or individuals and properties [Rami] |
18345 | 'Truth supervenes on being' avoids entities as truth-makers for negative truths [Rami] |
18346 | 'Truth supervenes on being' only gives necessary (not sufficient) conditions for contingent truths [Rami] |
18343 | Maybe a truth-maker also works for the entailments of the given truth [Rami] |
18338 | Truth-making is usually internalist, but the correspondence theory is externalist [Rami] |
18337 | Correspondence theories assume that truth is a representation relation [Rami] |
18347 | Deflationist truth is an infinitely disjunctive property [Rami] |
18350 | Truth-maker theorists should probably reject the converse Barcan formula [Rami] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
8764 | Categories are the best foundation for mathematics [Shapiro] |
8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
18336 | Internal relations depend either on the existence of the relata, or on their properties [Rami] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
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] |