16 ideas
15118 | A successful Aristotelian 'definition' is what sciences produces after an investigation [Koslicki] |
15116 | Essences cause necessary features, and definitions describe those necessary features [Koslicki] |
17963 | The facts of geometry, arithmetic or statics order themselves into theories [Hilbert] |
17966 | Axioms must reveal their dependence (or not), and must be consistent [Hilbert] |
17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
17965 | The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert] |
17964 | Number theory just needs calculation laws and rules for integers [Hilbert] |
15110 | An essence and what merely follow from it are distinct [Koslicki] |
15113 | Individuals are perceived, but demonstration and definition require universals [Koslicki] |
15112 | If an object exists, then its essential properties are necessary [Koslicki] |
15111 | In demonstration, the explanatory order must mirror the causal order of the phenomena [Koslicki] |
15115 | In a demonstration the middle term explains, by being part of the definition [Koslicki] |
18284 | Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper] |
15117 | Greek uses the same word for 'cause' and 'explanation' [Koslicki] |
15114 | Discovering the Aristotelian essence of thunder will tell us why thunder occurs [Koslicki] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |