74 ideas
10468 | A metaphysics has an ontology (objects) and an ideology (expressed ideas about them) [Oliver] |
22642 | Man has an intense natural interest in the consistency of his own thinking [James] |
10471 | Ockham's Razor has more content if it says believe only in what is causal [Oliver] |
10749 | Necessary truths seem to all have the same truth-maker [Oliver] |
10750 | Slingshot Argument: seems to prove that all sentences have the same truth-maker [Oliver] |
10987 | Three traditional names of rules are 'Simplification', 'Addition' and 'Disjunctive Syllogism' [Read] |
11004 | Necessity is provability in S4, and true in all worlds in S5 [Read] |
11018 | There are fuzzy predicates (and sets), and fuzzy quantifiers and modifiers [Read] |
11011 | Same say there are positive, negative and neuter free logics [Read] |
11020 | Realisms like the full Comprehension Principle, that all good concepts determine sets [Read] |
10986 | Not all validity is captured in first-order logic [Read] |
10972 | The non-emptiness of the domain is characteristic of classical logic [Read] |
11024 | Semantics must precede proof in higher-order logics, since they are incomplete [Read] |
10985 | We should exclude second-order logic, precisely because it captures arithmetic [Read] |
10970 | A theory of logical consequence is a conceptual analysis, and a set of validity techniques [Read] |
10984 | Logical consequence isn't just a matter of form; it depends on connections like round-square [Read] |
10973 | A theory is logically closed, which means infinite premisses [Read] |
11007 | Quantifiers are second-order predicates [Read] |
10978 | In second-order logic the higher-order variables range over all the properties of the objects [Read] |
10971 | A logical truth is the conclusion of a valid inference with no premisses [Read] |
10988 | Any first-order theory of sets is inadequate [Read] |
10974 | Compactness is when any consequence of infinite propositions is the consequence of a finite subset [Read] |
10975 | Compactness does not deny that an inference can have infinitely many premisses [Read] |
10977 | Compactness blocks the proof of 'for every n, A(n)' (as the proof would be infinite) [Read] |
10976 | Compactness makes consequence manageable, but restricts expressive power [Read] |
11014 | Self-reference paradoxes seem to arise only when falsity is involved [Read] |
11025 | Infinite cuts and successors seems to suggest an actual infinity there waiting for us [Read] |
10979 | Although second-order arithmetic is incomplete, it can fully model normal arithmetic [Read] |
10980 | Second-order arithmetic covers all properties, ensuring categoricity [Read] |
10997 | Von Neumann numbers are helpful, but don't correctly describe numbers [Read] |
22641 | Realities just are, and beliefs are true of them [James] |
11016 | Would a language without vagueness be usable at all? [Read] |
11019 | Supervaluations say there is a cut-off somewhere, but at no particular place [Read] |
11012 | A 'supervaluation' gives a proposition consistent truth-value for classical assignments [Read] |
11013 | Identities and the Indiscernibility of Identicals don't work with supervaluations [Read] |
10747 | Accepting properties by ontological commitment tells you very little about them [Oliver] |
10748 | Reference is not the only way for a predicate to have ontological commitment [Oliver] |
10719 | There are four conditions defining the relations between particulars and properties [Oliver] |
10721 | If properties are sui generis, are they abstract or concrete? [Oliver] |
10716 | There are just as many properties as the laws require [Oliver] |
10720 | We have four options, depending whether particulars and properties are sui generis or constructions [Oliver] |
10714 | The expressions with properties as their meanings are predicates and abstract singular terms [Oliver] |
10715 | There are five main semantic theories for properties [Oliver] |
10738 | Tropes are not properties, since they can't be instantiated twice [Oliver] |
10739 | The property of redness is the maximal set of the tropes of exactly similar redness [Oliver] |
10740 | The orthodox view does not allow for uninstantiated tropes [Oliver] |
10741 | Maybe concrete particulars are mereological wholes of abstract particulars [Oliver] |
10742 | Tropes can overlap, and shouldn't be splittable into parts [Oliver] |
10472 | 'Structural universals' methane and butane are made of the same universals, carbon and hydrogen [Oliver] |
10724 | Located universals are wholly present in many places, and two can be in the same place [Oliver] |
7963 | Aristotle's instantiated universals cannot account for properties of abstract objects [Oliver] |
10730 | If universals ground similarities, what about uniquely instantiated universals? [Oliver] |
10727 | Uninstantiated universals seem to exist if they themselves have properties [Oliver] |
7962 | Uninstantiated properties are useful in philosophy [Oliver] |
10722 | Instantiation is set-membership [Oliver] |
10744 | Nominalism can reject abstractions, or universals, or sets [Oliver] |
10995 | A haecceity is a set of individual properties, essential to each thing [Read] |
10726 | Things can't be fusions of universals, because two things could then be one thing [Oliver] |
10725 | Abstract sets of universals can't be bundled to make concrete things [Oliver] |
11001 | Equating necessity with truth in every possible world is the S5 conception of necessity [Read] |
10992 | The point of conditionals is to show that one will accept modus ponens [Read] |
10989 | The standard view of conditionals is that they are truth-functional [Read] |
11017 | Some people even claim that conditionals do not express propositions [Read] |
10745 | Science is modally committed, to disposition, causation and law [Oliver] |
10983 | Knowledge of possible worlds is not causal, but is an ontology entailed by semantics [Read] |
10982 | How can modal Platonists know the truth of a modal proposition? [Read] |
10996 | Actualism is reductionist (to parts of actuality), or moderate realist (accepting real abstractions) [Read] |
10981 | A possible world is a determination of the truth-values of all propositions of a domain [Read] |
11000 | If worlds are concrete, objects can't be present in more than one, and can only have counterparts [Read] |
22640 | We find satisfaction in consistency of all of our beliefs, perceptions and mental connections [James] |
10998 | The mind abstracts ways things might be, which are nonetheless real [Read] |
10746 | Conceptual priority is barely intelligible [Oliver] |
11005 | Negative existentials with compositionality make the whole sentence meaningless [Read] |
10966 | A proposition objectifies what a sentence says, as indicative, with secure references [Read] |