51 ideas
23853 | Truth is not a object we love - it is the radiant manifestation of reality [Weil] |
18335 | There are five problems which the truth-maker theory might solve [Rami] |
18334 | The truth-maker idea is usually justified by its explanatory power, or intuitive appeal [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] |
18346 | 'Truth supervenes on being' only gives necessary (not sufficient) conditions for contingent truths [Rami] |
18345 | 'Truth supervenes on being' avoids entities as truth-makers for negative 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] |
23855 | Creation produced a network or web of determinations [Weil] |
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] |
23848 | The aesthete's treatment of beauty as amusement is sacreligious; beauty should nourish [Weil] |
23854 | Beauty is the proof of what is good [Weil] |
23837 | Respect is our only obligation, which can only be expressed through deeds, not words [Weil] |
23844 | The most important human need is to have multiple roots [Weil] |
23838 | The need for order stands above all others, and is understood via the other needs [Weil] |
23836 | Obligations only bind individuals, not collectives [Weil] |
23840 | A citizen should be able to understand the whole of society [Weil] |
23843 | Even the poorest should feel collective ownership, and participation in grand display [Weil] |
23846 | Culture is an instrument for creating an ongoing succession of teachers [Weil] |
23839 | A lifelong head of society should only be a symbol, not a ruler [Weil] |
23842 | Party politics in a democracy can't avoid an anti-democratic party [Weil] |
23847 | Socialism tends to make a proletariat of the whole population [Weil] |
23845 | The capitalists neglect the people and the nation, and even their own interests [Weil] |
23841 | By making money the sole human measure, inequality has become universal [Weil] |
23835 | People have duties, and only have rights because of the obligations of others to them [Weil] |
23852 | To punish people we must ourselves be innocent - but that undermines the desire to punish [Weil] |
23850 | The soldier-civilian distinction should be abolished; every citizen is committed to a war [Weil] |
23851 | Education is essentially motivation [Weil] |
23849 | Religion should quietly suffuse all human life with its light [Weil] |