15 ideas
17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
21918 | Sufficient Reason can't be proved, because all proof presupposes it [Schopenhauer, by Lewis,PB] |
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] |
21920 | No need for a priori categories, since sufficient reason shows the interrelations [Schopenhauer, by Lewis,PB] |
21362 | Necessity is physical, logical, mathematical or moral [Schopenhauer, by Janaway] |
21361 | For Schopenhauer, material things would not exist without the mind [Schopenhauer, by Janaway] |
21919 | Object for a subject and representation are the same thing [Schopenhauer] |
21917 | The four explanations: objects by causes, concepts by ground, maths by spacetime, ethics by motive [Schopenhauer, by Lewis,PB] |
21921 | Concepts are abstracted from perceptions [Schopenhauer, by Lewis,PB] |
21363 | Motivation is causality seen from within [Schopenhauer] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |