25 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] |
10301 | The axiom of choice is controversial, but it could be replaced [Shapiro] |
10588 | First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro] |
10298 | Some say that second-order logic is mathematics, not logic [Shapiro] |
10299 | If the aim of logic is to codify inferences, second-order logic is useless [Shapiro] |
10300 | Logical consequence can be defined in terms of the logical terminology [Shapiro] |
10290 | Second-order variables also range over properties, sets, relations or functions [Shapiro] |
10590 | Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro] |
10296 | The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro] |
10297 | The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro] |
10292 | Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro] |
21838 | Before we seek solutions, it is important to invent problems [Deleuze] |
10294 | Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro] |
21847 | Before Being there is politics [Deleuze] |
10591 | Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro] |
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] |
8433 | There are few traces of an event before it happens, but many afterwards [Lewis, by Horwich] |