40 ideas
| 8220 | Philosophy is in a perpetual state of digression [Deleuze/Guattari] |
| 8217 | Philosophy is a concept-creating discipline [Deleuze/Guattari] |
| 8242 | Philosophy aims at what is interesting, remarkable or important - not at knowledge or truth [Deleuze/Guattari] |
| 8223 | The plague of philosophy is those who criticise without creating, and defend dead concepts [Deleuze/Guattari] |
| 8247 | Phenomenology needs art as logic needs science [Deleuze/Guattari] |
| 8224 | 'Eris' is the divinity of conflict, the opposite of Philia, the god of friendship [Deleuze/Guattari] |
| 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] |
| 8246 | Logic hates philosophy, and wishes to supplant it [Deleuze/Guattari] |
| 8219 | Logic has an infantile idea of philosophy [Deleuze/Guattari] |
| 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] |
| 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] |
| 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] |
| 8221 | We cannot judge the Cogito. Must we begin? Must we start from certainty? Can 'I' relate to thought? [Deleuze/Guattari] |
| 17488 | Empiricist theories are sets of laws, which give explanations and reductions [Glennan] |
| 8222 | Concepts are superior because they make us more aware, and change our thinking [Deleuze/Guattari] |
| 17493 | Modern mechanism need parts with spatial, temporal and function facts, and diagrams [Glennan] |
| 17489 | Mechanisms are either systems of parts or sequences of activities [Glennan] |
| 17487 | Mechanistic philosophy of science is an alternative to the empiricist law-based tradition [Glennan] |
| 17490 | 17th century mechanists explained everything by the kinetic physical fundamentals [Glennan] |
| 17491 | Unlike the lawlike approach, mechanistic explanation can allow for exceptions [Glennan] |
| 8218 | Other people completely revise our perceptions, because they are possible worlds [Deleuze/Guattari] |
| 8248 | Phenomenology says thought is part of the world [Deleuze/Guattari] |
| 8245 | The logical attitude tries to turn concepts into functions, when they are really forms or forces [Deleuze/Guattari] |
| 17494 | Since causal events are related by mechanisms, causation can be analysed in that way [Glennan] |
| 8243 | Atheism is the philosopher's serenity, and philosophy's achievement [Deleuze/Guattari] |