36 ideas
| 21844 | The history of philosophy is an agent of power: how can you think if you haven't read the great names? [Deleuze] |
| 21849 | Thought should be thrown like a stone from a war-machine [Deleuze] |
| 21845 | Philosophy aims to become the official language, supporting orthodoxy and the state [Deleuze] |
| 21839 | When I meet objections I just move on; they never contribute anything [Deleuze] |
| 21841 | We must create new words, and treat them as normal, and as if designating real things. [Deleuze] |
| 21842 | Don't assess ideas for truth or justice; look for another idea, and establish a relationship with it [Deleuze] |
| 21850 | Dualisms can be undone from within, by tracing connections, and drawing them to a new path [Deleuze] |
| 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] |
| 21838 | Before we seek solutions, it is important to invent problems [Deleuze] |
| 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] |
| 17757 | Members of ordinals are ordinals, and also subsets of ordinals [Walicki] |
| 17818 | How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau] |
| 17822 | Nothing is 'intrinsically' numbered [Yourgrau] |
| 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] |
| 17817 | Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau] |
| 17815 | We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau] |
| 17821 | You can ask all sorts of numerical questions about any one given set [Yourgrau] |
| 21847 | Before Being there is politics [Deleuze] |
| 17742 | Scotus based modality on semantic consistency, instead of on what the future could allow [Walicki] |
| 21840 | A meeting of man and animal can be deterritorialization (like a wasp with an orchid) [Deleuze] |
| 21843 | People consist of many undetermined lines, some rigid, some supple, some 'lines of flight' [Deleuze] |
| 21848 | Some lines (of flight) are becomings which escape the system [Deleuze] |