25 ideas
9307 | Modern Western culture suddenly appeared in Jena in the 1790s [Svendsen] |
9297 | You can't understand love in terms of 'if and only if...' [Svendsen] |
10147 | The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman] |
10148 | Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman] |
10149 | Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman] |
10150 | The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman] |
10146 | Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman] |
10158 | A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman] |
10162 | Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman] |
10160 | Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman] |
10159 | Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman] |
10161 | If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman] |
10156 | 'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman] |
10155 | Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman] |
9308 | If subjective and objective begin to merge, then so do primary and secondary qualities [Svendsen] |
21513 | We can no more expect a precise definition of coherence than we can of the moral ideal [Ewing] |
21497 | If undetailed, 'coherence' is just a vague words that covers all possible arguments [Ewing] |
9309 | Emotions have intentional objects, while a mood is objectless [Svendsen] |
9304 | Death appears to be more frightening the less one has lived [Svendsen] |
9298 | We can be unaware that we are bored [Svendsen] |
9301 | Boredom is so radical that suicide could not overcome it; only never having existed would do it [Svendsen] |
9302 | We are bored because everything comes to us fully encoded, and we want personal meaning [Svendsen] |
9310 | The profoundest boredom is boredom with boredom [Svendsen] |
9311 | We have achieved a sort of utopia, and it is boring, so that is the end of utopias [Svendsen] |
9303 | The concept of 'alienation' seems no longer applicable [Svendsen] |