28 ideas
| 9271 | Human knowledge may not produce well-being; the examined life may not be worth living [Gray] |
| 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] |
| 10159 | Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman] |
| 10160 | Löwenheim-Skolem says if the sentences are countable, so is the model [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] |
| 16062 | A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow] |
| 16061 | If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow] |
| 16060 | Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow] |
| 16064 | The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow] |
| 9275 | Knowledge does not need minds or nervous systems; it is found in all living things [Gray] |
| 9276 | The will hardly ever does anything; most of our life just happens to us [Gray] |
| 9278 | Nowadays we identify the free life with the good life [Gray] |
| 9280 | Over forty percent of the Earth's living tissue is human [Gray] |
| 23061 | Free atheism should start by questioning its faith in humanity [Gray] |
| 23057 | Gnosticism has a supreme creator God, giving way to a possibly hostile Demiurge [Gray] |
| 23056 | Judaism only became monotheistic around 550 BCE [Gray] |
| 9272 | Without Christianity we lose the idea that human history has a meaning [Gray] |
| 9279 | What was our original sin, and how could Christ's suffering redeem it? [Gray] |
| 23055 | Christians introduced the idea that a religion needs a creed [Gray] |
| 23058 | Buddhism has no divinity or souls, and the aim is to lose the illusion of a self [Gray] |