16 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] |
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] |
19718 | Indefeasibility does not imply infallibility [Grundmann] |
19717 | Can a defeater itself be defeated? [Grundmann] |
19716 | Simple reliabilism can't cope with defeaters of reliably produced beliefs [Grundmann] |
19715 | You can 'rebut' previous beliefs, 'undercut' the power of evidence, or 'reason-defeat' the truth [Grundmann] |
19714 | Knowledge requires that there are no facts which would defeat its justification [Grundmann] |
19713 | Defeasibility theory needs to exclude defeaters which are true but misleading [Grundmann] |
19719 | 'Moderate' foundationalism has basic justification which is defeasible [Grundmann] |
5049 | Intelligent pleasure is the perception of beauty, order and perfection [Leibniz] |
5048 | Perfection is simply quantity of reality [Leibniz] |
5050 | Evil serves a greater good, and pain is necessary for higher pleasure [Leibniz] |