29 ideas
15585 | Later Heidegger sees philosophy as more like poetry than like science [Heidegger, by Polt] |
16877 | A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege] |
17311 | Real definitions don't just single out a thing; they must also explain its essence [Koslicki] |
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] |
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] |
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] |
17312 | It is more explanatory if you show how a number is constructed from basic entities and relations [Koslicki] |
17314 | The relata of grounding are propositions or facts, but for dependence it is objects and their features [Koslicki] |
9388 | Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege] |
17313 | Modern views want essences just to individuate things across worlds and times [Koslicki] |
17309 | For Fine, essences are propositions true because of identity, so they are just real definitions [Koslicki] |
17315 | We need a less propositional view of essence, and so must distinguish it clearly from real definitions [Koslicki] |
17317 | A good explanation captures the real-world dependence among the phenomena [Koslicki] |
16876 | We need definitions to cram retrievable sense into a signed receptacle [Frege] |
16875 | We use signs to mark receptacles for complex senses [Frege] |
17316 | We can abstract to a dependent entity by blocking out features of its bearer [Koslicki] |
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] |