34 ideas
| 9247 | Life will be lived better if it has no meaning [Camus] |
| 6707 | Suicide - whether life is worth living - is the one serious philosophical problem [Camus] |
| 9245 | To an absurd mind reason is useless, and there is nothing beyond reason [Camus] |
| 17749 | Post proved the consistency of propositional logic in 1921 [Walicki] |
| 17765 | Propositional language can only relate statements as the same or as different [Walicki] |
| 17764 | Boolean connectives are interpreted as functions on the set {1,0} [Walicki] |
| 17752 | The empty set is useful for defining sets by properties, when the members are not yet known [Walicki] |
| 17753 | The empty set avoids having to take special precautions in case members vanish [Walicki] |
| 17759 | Ordinals play the central role in set theory, providing the model of well-ordering [Walicki] |
| 17741 | To determine the patterns in logic, one must identify its 'building blocks' [Walicki] |
| 9244 | Logic is easy, but what about logic to the point of death? [Camus] |
| 17747 | A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki] |
| 17748 | The L-S Theorem says no theory (even of reals) says more than a natural number theory [Walicki] |
| 17763 | Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki] |
| 17761 | A compact axiomatisation makes it possible to understand a field as a whole [Walicki] |
| 17757 | Members of ordinals are ordinals, and also subsets of ordinals [Walicki] |
| 17758 | Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki] |
| 17755 | Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki] |
| 17756 | The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki] |
| 17760 | Two infinite ordinals can represent a single infinite cardinal [Walicki] |
| 17762 | In non-Euclidean geometry, all Euclidean theorems are valid that avoid the fifth postulate [Walicki] |
| 17754 | Inductive proof depends on the choice of the ordering [Walicki] |
| 17742 | Scotus based modality on semantic consistency, instead of on what the future could allow [Walicki] |
| 9249 | Whether we are free is uninteresting; we can only experience our freedom [Camus] |
| 9253 | The human heart has a tiresome tendency to label as fate only what crushes it [Camus] |
| 23224 | That all matter thinks is absurd, and would make each part of our bodies a distinct self-consciousness [Bentley] |
| 9250 | Discussing ethics is pointless; moral people behave badly, and integrity doesn't need rules [Camus] |
| 9252 | The more one loves the stronger the absurd grows [Camus] |
| 9251 | One can be virtuous through a whim [Camus] |
| 6708 | Happiness and the absurd go together, each leading to the other [Camus] |
| 9243 | If we believe existence is absurd, this should dictate our conduct [Camus] |
| 9242 | Essential problems either risk death, or intensify the passion of life [Camus] |
| 9246 | Danger and integrity are not in the leap of faith, but in remaining poised just before the leap [Camus] |
| 9248 | It is essential to die unreconciled and not of one's own free will [Camus] |