13 ideas
| 17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
| 9188 | Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett] |
| 10620 | Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel] |
| 17883 | Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner] |
| 16901 | The equivalent algebra model of geometry loses some essential spatial meaning [Burge] |
| 16902 | Peano arithmetic requires grasping 0 as a primitive number [Burge] |
| 17885 | Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner] |
| 10614 | The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel] |
| 16892 | Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge] |
| 8830 | A belief can be justified when the person has forgotten the evidence for it [Goldman] |
| 8832 | If justified beliefs are well-formed beliefs, then animals and young children have them [Goldman] |
| 8829 | Justification depends on the reliability of its cause, where reliable processes tend to produce truth [Goldman] |
| 8831 | Introspection is really retrospection; my pain is justified by a brief causal history [Goldman] |