21 ideas
7426 | Critical philosophy is what questions domination at every level [Foucault] |
7423 | Philosophy and politics are fundamentally linked [Foucault] |
7420 | When logos controls our desires, we have actually become the logos [Foucault] |
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] |
7424 | Saying games of truth were merely power relations would be a horrible exaggeration [Foucault] |
7422 | A subject is a form which can change, in (say) political or sexual situations [Foucault] |
7419 | Ethics is the conscious practice of freedom [Foucault] |
7425 | The aim is not to eliminate power relations, but to reduce domination [Foucault] |
7418 | The idea of liberation suggests there is a human nature which has been repressed [Foucault] |
1863 | If the soul achieves well-being in another life, it doesn't follow that I do [Aquinas] |