24 ideas
22070 | Irony is consciousness of abundant chaos [Schlegel,F] |
22069 | Plato has no system. Philosophy is the progression of a mind and development of thoughts [Schlegel,F] |
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] |
10294 | Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro] |
10591 | Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro] |
22068 | Poetry is transcendental when it connects the ideal to the real [Schlegel,F] |
5673 | If we have a pain, we are strongly aware of the bodily self [Cassam] |
5670 | Knowledge of thoughts covers both their existence and their contents [Cassam] |
5671 | Outer senses are as important as introspection in the acquisition of self-knowledge [Cassam] |
5672 | Is there a mode of self-awareness that isn't perception, and could it give self-knowledge? [Cassam] |
5675 | Neither self-consciousness nor self-reference require self-knowledge [Cassam] |
5674 | We can't introspect ourselves as objects, because that would involve possible error [Cassam] |
22030 | For poets free choice is supreme [Schlegel,F] |
22071 | True love is ironic, in the contrast between finite limitations and the infinity of love [Schlegel,F] |
22029 | Irony is the response to conflicts of involvement and attachment [Schlegel,F, by Pinkard] |