16 ideas
| 8833 | Why should we prefer coherent beliefs? [Klein,P] |
| 12801 | Coherentists seek relations among beliefs that are simple, conservative and explanatory [Foley] |
| 17824 | The master science is physical objects divided into sets [Maddy] |
| 17825 | Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy] |
| 17826 | Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy] |
| 17828 | Numbers are properties of sets, just as lengths are properties of physical objects [Maddy] |
| 17827 | Sets exist where their elements are, but numbers are more like universals [Maddy] |
| 17830 | Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy] |
| 17823 | If mathematical objects exist, how can we know them, and which objects are they? [Maddy] |
| 17829 | Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy] |
| 8834 | Infinitism avoids a regress, circularity or arbitrariness, by saying warrant just increases [Klein,P] |
| 12800 | Externalists want to understand knowledge, Internalists want to understand justification [Foley] |
| 12802 | We aren't directly pragmatic about belief, but pragmatic about the deliberation which precedes it [Foley] |
| 12803 | Justification comes from acceptable procedures, given practical constraints [Foley] |
| 8838 | If justification is endless, no link in the chain is ultimately justified [Ginet on Klein,P] |
| 8839 | Reasons acquire warrant through being part of a lengthening series [Klein,P] |