33 ideas
10146 | Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman] |
10147 | The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman] |
10150 | The Trichotomy Principle is equivalent to the Axiom of Choice [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] |
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] |
6375 | The taste of chocolate is a 'finer-grained' sensation than the taste of sweetness [Polger] |
6381 | The mind and the self are one, and the mind-self is a biological phenomenon [Polger] |
6378 | Teleological functions explain why a trait exists; causal-role functions say what it does [Polger] |
6380 | Identity theory says consciousness is an abstraction: a state, event, process or property [Polger] |
20014 | Actions include: the involuntary, the purposeful, the intentional, and the self-consciously autonomous [Wilson/Schpall] |
20019 | Maybe bodily movements are not actions, but only part of an agent's action of moving [Wilson/Schpall] |
20021 | Is the action the arm movement, the whole causal process, or just the trying to do it? [Wilson/Schpall] |
20022 | To be intentional, an action must succeed in the manner in which it was planned [Wilson/Schpall] |
20023 | If someone believes they can control the lottery, and then wins, the relevant skill is missing [Wilson/Schpall] |
20025 | We might intend two ways to acting, knowing only one of them can succeed [Wilson/Schpall] |
20031 | On one model, an intention is belief-desire states, and intentional actions relate to beliefs and desires [Wilson/Schpall] |
20028 | Groups may act for reasons held by none of the members, so maybe groups are agents [Wilson/Schpall] |
20027 | If there are shared obligations and intentions, we may need a primitive notion of 'joint commitment' [Wilson/Schpall] |
20016 | Strong Cognitivism identifies an intention to act with a belief [Wilson/Schpall] |
20017 | Weak Cognitivism says intentions are only partly constituted by a belief [Wilson/Schpall] |
20018 | Strong Cognitivism implies a mode of 'practical' knowledge, not based on observation [Wilson/Schpall] |
20012 | Maybe the explanation of an action is in the reasons that make it intelligible to the agent [Wilson/Schpall] |
20013 | It is generally assumed that reason explanations are causal [Wilson/Schpall] |
20029 | Causalists allow purposive explanations, but then reduce the purpose to the action's cause [Wilson/Schpall] |
6379 | A mummified heart has the teleological function of circulating blood [Polger] |
6377 | Teleological notions of function say what a thing is supposed to do [Polger] |