18 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] |
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
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] |
10990 | Conditionals are truth-functional, but unassertable in tricky cases? [Grice, by Read] |
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] |
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] |
10991 | Key conversational maxims are 'quality' (assert truth) and 'quantity' (leave nothing out) [Grice, by Read] |