15 ideas
18491 | The idea of 'making' can be mere conceptual explanation (like 'because') [Künne] |
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] |
21642 | If quantification is all substitutional, there is no ontology [Quine] |
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] |
1633 | Absolute ontological questions are meaningless, because the answers are circular definitions [Quine] |
18964 | Ontology is relative to both a background theory and a translation manual [Quine] |
18965 | We know what things are by distinguishing them, so identity is part of ontology [Quine] |
1634 | Two things are relative - the background theory, and translating the object theory into the background theory [Quine] |
8470 | Reference is inscrutable, because we cannot choose between theories of numbers [Quine, by Orenstein] |
18963 | Indeterminacy translating 'rabbit' depends on translating individuation terms [Quine] |