47 ideas
| 2319 | Metaphysics is the clarification of the ontological relationships between different areas of thought [Kim] |
| 22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
| 10183 | An infinite set maps into its own proper subset [Dedekind, by Reck/Price] |
| 22288 | We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter] |
| 10706 | Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter] |
| 9823 | Numbers are free creations of the human mind, to understand differences [Dedekind] |
| 10090 | Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman] |
| 17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck] |
| 7524 | Order, not quantity, is central to defining numbers [Dedekind, by Monk] |
| 14131 | Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell] |
| 14437 | Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell] |
| 18094 | Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock] |
| 9824 | In counting we see the human ability to relate, correspond and represent [Dedekind] |
| 9826 | A system S is said to be infinite when it is similar to a proper part of itself [Dedekind] |
| 13508 | Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD] |
| 18096 | Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock] |
| 18841 | Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind] |
| 14130 | Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell] |
| 8924 | Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride] |
| 9153 | Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K] |
| 2317 | Reductionism is good on light, genes, temperature and transparency [Kim, by PG] |
| 2310 | Supervenience is linked to dependence [Kim] |
| 2315 | Mereological supervenience says wholes are fixed by parts [Kim] |
| 2329 | Causal power is a good way of distinguishing the real from the unreal [Kim] |
| 2320 | Properties can have causal powers lacked by their constituents [Kim] |
| 9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
| 530 | There are two contradictory arguments about everything [Kim] |
| 13314 | Protagoras says arguments on both sides are always equal [Kim, by Seneca] |
| 2065 | Not every person is the measure of all things, but only wise people [Plato on Kim] |
| 1550 | Why didn't Protagoras begin by saying "a tadpole is the measure of all things"? [Plato on Kim] |
| 2318 | Agency, knowledge, reason, memory, psychology all need mental causes [Kim, by PG] |
| 2325 | It seems impossible that an exact physical copy of this world could lack intentionality [Kim] |
| 2324 | Intentionality as function seems possible [Kim] |
| 2314 | Maybe intentionality is reducible, but qualia aren't [Kim] |
| 2313 | Emergentism says there is no explanation for a supervenient property [Kim] |
| 2328 | The only mental property that might be emergent is that of qualia [Kim] |
| 2309 | Non-Reductive Physicalism relies on supervenience [Kim] |
| 2311 | Maybe strong supervenience implies reduction [Kim] |
| 2308 | Identity theory was overthrown by multiple realisations and causal anomalies [Kim] |
| 2322 | Multiple realisation applies to other species, and even one individual over time [Kim] |
| 2327 | Knowledge and inversion make functionalism about qualia doubtful [Kim] |
| 2323 | Emotions have both intentionality and qualia [Kim] |
| 9189 | Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett] |
| 9827 | We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind] |
| 9979 | Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait] |
| 541 | Virtue comes more from habit than character [Critias] |
| 542 | Fear of the gods was invented to discourage secret sin [Critias] |