55 ideas
13560 | A wise man is not subservient to anything [Seneca] |
18390 | All metaphysical discussion should be guided by a quest for truthmakers [Armstrong] |
18467 | Truth-making can't be entailment, because truthmakers are portions of reality [Armstrong] |
18468 | Armstrong says truthmakers necessitate their truth, where 'necessitate' is a primitive relation [Armstrong, by MacBride] |
18377 | Negative truths have as truthmakers all states of affairs relevant to the truth [Armstrong] |
18382 | The nature of arctic animals is truthmaker for the absence of penguins there [Armstrong] |
18394 | In mathematics, truthmakers are possible instantiations of structures [Armstrong] |
18384 | One truthmaker will do for a contingent truth and for its contradictory [Armstrong] |
18387 | The truthmakers for possible unicorns are the elements in their combination [Armstrong] |
18386 | What is the truthmaker for 'it is possible that there could have been nothing'? [Armstrong] |
18381 | Necessitating general truthmakers must also specify their limits [Armstrong] |
18396 | The set theory brackets { } assert that the member is a unit [Armstrong] |
18393 | For 'there is a class with no members' we don't need the null set as truthmaker [Armstrong] |
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] |
18392 | Classes have cardinalities, so their members must all be treated as units [Armstrong] |
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] |
18385 | Logical atomism builds on the simple properties, but are they the only possible properties? [Armstrong] |
18391 | 'Naturalism' says only the world of space-time exists [Armstrong] |
18374 | Truthmaking needs states of affairs, to unite particulars with tropes or universals. [Armstrong] |
18372 | We need properties, as minimal truthmakers for the truths about objects [Armstrong] |
18379 | The determinates of a determinable must be incompatible with each other [Armstrong] |
18378 | Length is a 'determinable' property, and one mile is one its 'determinates' [Armstrong] |
18373 | If tropes are non-transferable, then they necessarily belong to their particular substance [Armstrong] |
18400 | Properties are not powers - they just have powers [Armstrong] |
18397 | Powers must result in some non-powers, or there would only be potential without result [Armstrong] |
18399 | How does the power of gravity know the distance it acts over? [Armstrong] |
18371 | The class of similar things is much too big a truthmaker for the feature of a particular [Armstrong] |
18389 | When entities contain entities, or overlap with them, there is 'partial' identity [Armstrong] |
18388 | Possible worlds don't fix necessities; intrinsic necessities imply the extension in worlds [Armstrong] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
18375 | General truths are a type of negative truth, saying there are no more ravens than black ones [Armstrong] |
18368 | For all being, there is a potential proposition which expresses its existence and nature [Armstrong] |
18370 | A realm of abstract propositions is causally inert, so has no explanatory value [Armstrong] |
13558 | The supreme good is harmony of spirit [Seneca] |
13559 | I seek virtue, because it is its own reward [Seneca] |
13561 | Virtue is always moderate, so excess need not be feared [Seneca] |
13562 | It is shameful to not even recognise your own slaves [Seneca] |
13564 | There is far more scope for virtue if you are wealthy; poverty only allows endurance [Seneca] |
13563 | Why does your wife wear in her ears the income of a wealthy house? [Seneca] |
13565 | If wealth was a good, it would make men good [Seneca] |
13557 | Unfortunately the majority do not tend to favour what is best [Seneca] |
18380 | Negative causations supervene on positive causations plus their laws? [Armstrong] |
18401 | The pure present moment is too brief to be experienced [Armstrong] |