36 ideas
6123 | Empirical investigation can't discover if holes exist, or if two things share a colour [Merricks] |
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] |
17914 | He made a molten sea, which was ten cubits across, and thirty cubits round the edge [Anon (Kings)] |
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] |
6143 | Prolonged events don't seem to endure or exist at any particular time [Merricks] |
6135 | A crumbling statue can't become vague, because vagueness is incoherent [Merricks] |
6145 | Intrinsic properties are those an object still has even if only that object exists [Merricks] |
6124 | I say that most of the objects of folk ontology do not exist [Merricks] |
6134 | Is swimming pool water an object, composed of its mass or parts? [Merricks] |
6125 | We can eliminate objects without a commitment to simples [Merricks] |
14229 | Merricks agrees that there are no composite objects, but offers a different semantics [Merricks, by Liggins] |
6142 | The 'folk' way of carving up the world is not intrinsically better than quite arbitrary ways [Merricks] |
14472 | If atoms 'arranged baseballwise' break a window, that analytically entails that a baseball did it [Merricks, by Thomasson] |
14469 | Overdetermination: the atoms do all the causing, so the baseball causes no breakage [Merricks] |
6137 | Clay does not 'constitute' a statue, as they have different persistence conditions (flaking, squashing) [Merricks] |
6141 | There is no visible difference between statues, and atoms arranged statuewise [Merricks] |
6127 | 'Unrestricted composition' says any two things can make up a third thing [Merricks] |
6131 | Composition as identity is false, as identity is never between a single thing and many things [Merricks] |
6132 | Composition as identity is false, as it implies that things never change their parts [Merricks] |
6130 | 'Composition' says things are their parts; 'constitution' says a whole substance is an object [Merricks] |
6138 | It seems wrong that constitution entails that two objects are wholly co-located [Merricks] |
6128 | Objects decompose (it seems) into non-overlapping parts that fill its whole region [Merricks] |
6136 | Eliminativism about objects gives the best understanding of the Sorites paradox [Merricks] |
6133 | If my counterpart is happy, that is irrelevant to whether I 'could' have been happy [Merricks] |
6150 | The 'warrant' for a belief is what turns a true belief into knowledge [Merricks] |
6144 | You hold a child in your arms, so it is not mental substance, or mental state, or software [Merricks] |
6140 | Maybe the word 'I' can only refer to persons [Merricks] |
6149 | Free will and determinism are incompatible, since determinism destroys human choice [Merricks] |
6148 | Human organisms can exercise downward causation [Merricks] |
6147 | The hypothesis of solipsism doesn't seem to be made incoherent by the nature of mental properties [Merricks] |
6146 | Before Creation it is assumed that God still had many many mental properties [Merricks] |