32 ideas
22366 | There is no objectivity in social sciences - only viewpoints for selecting and organising data [Weber] |
22367 | The results of social research can be true, and not just subjectively valid for one person [Weber] |
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] |
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] |
17761 | A compact axiomatisation makes it possible to understand a field as a whole [Walicki] |
17763 | Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki] |
17755 | Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki] |
17758 | Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki] |
17757 | Members of ordinals are ordinals, and also subsets 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] |
7082 | Nature requires causal explanations, but society requires clarification by reasons and motives [Weber, by Critchley] |
1757 | The Electra: she knows this man, but not that he is her brother [Eucleides, by Diog. Laertius] |
22155 | We are disenchanted because we rely on science, which ignores values [Weber, by Boulter] |
3028 | The chief good is unity, sometimes seen as prudence, or God, or intellect [Eucleides] |
20725 | The idea of duty in one's calling haunts us, like a lost religion [Weber] |
21132 | Domination is probable obedience by some group of persons [Weber] |
20722 | Acquisition and low consumption lead to saving, investment, and increased wealth [Weber] |
20724 | When asceticism emerged from the monasteries, it helped to drive the modern economy [Weber] |
20717 | Capitalism is not unlimited greed, and may even be opposed to greed [Weber] |
20718 | Modern western capitalism has free labour, business separate from household, and book-keeping [Weber] |
20719 | Punish the heretic, but be indulgent to the sinner [Weber] |