26 ideas
23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
23447 | In classical semantics singular terms refer, and quantifiers range over domains [Linnebo] |
23443 | The axioms of group theory are not assertions, but a definition of a structure [Linnebo] |
23444 | To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo] |
18200 | Very large sets should be studied in an 'if-then' spirit [Putnam] |
23446 | You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo] |
23448 | Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo] |
18199 | Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam] |
8857 | We must quantify over numbers for science; but that commits us to their existence [Putnam] |
23441 | Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo] |
23442 | Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo] |
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] |