53 ideas
10468 | A metaphysics has an ontology (objects) and an ideology (expressed ideas about them) [Oliver] |
10471 | Ockham's Razor has more content if it says believe only in what is causal [Oliver] |
5831 | The new view is that "water" is a name, and has no definition [Schwartz,SP] |
16877 | A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege] |
11219 | Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta] |
16878 | We must be clear about every premise and every law used in a proof [Frege] |
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] |
16867 | Logic not only proves things, but also reveals logical relations between them [Frege] |
16863 | Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege] |
16862 | The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege] |
16865 | 'Theorems' are both proved, and used in proofs [Frege] |
5829 | We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP] |
5830 | The traditional theory of names says some of the descriptions must be correct [Schwartz,SP] |
16866 | Tracing inference backwards closes in on a small set of axioms and postulates [Frege] |
16868 | The essence of mathematics is the kernel of primitive truths on which it rests [Frege] |
16871 | A truth can be an axiom in one system and not in another [Frege] |
16870 | Axioms are truths which cannot be doubted, and for which no proof is needed [Frege] |
16869 | To create order in mathematics we need a full system, guided by patterns of inference [Frege] |
16864 | If principles are provable, they are theorems; if not, they are axioms [Frege] |
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] |
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] |
9388 | Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege] |
10745 | Science is modally committed, to disposition, causation and law [Oliver] |
16876 | We need definitions to cram retrievable sense into a signed receptacle [Frege] |
16875 | We use signs to mark receptacles for complex senses [Frege] |
5826 | The intension of "lemon" is the conjunction of properties associated with it [Schwartz,SP] |
10746 | Conceptual priority is barely intelligible [Oliver] |
16879 | A sign won't gain sense just from being used in sentences with familiar components [Frege] |
16873 | Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege] |
16872 | A thought is the sense expressed by a sentence, and is what we prove [Frege] |
16874 | The parts of a thought map onto the parts of a sentence [Frege] |