19 ideas
17824 | The master science is physical objects divided into sets [Maddy] |
17825 | Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy] |
17826 | Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy] |
17828 | Numbers are properties of sets, just as lengths are properties of physical objects [Maddy] |
17827 | Sets exist where their elements are, but numbers are more like universals [Maddy] |
17830 | Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy] |
17823 | If mathematical objects exist, how can we know them, and which objects are they? [Maddy] |
17829 | Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy] |
3756 | Perception, introspection, testimony, memory, reason, and inference can give us knowledge [Bernecker/Dretske] |
3757 | Causal theory says true perceptions must be caused by the object perceived [Bernecker/Dretske] |
3759 | You can acquire new knowledge by exploring memories [Bernecker/Dretske] |
3752 | Justification can be of the belief, or of the person holding the belief [Bernecker/Dretske] |
3753 | Foundationalism aims to avoid an infinite regress [Bernecker/Dretske] |
3754 | Infallible sensations can't be foundations if they are non-epistemic [Bernecker/Dretske] |
3755 | Justification is normative, so it can't be reduced to cognitive psychology [Bernecker/Dretske] |
3761 | Modern arguments against the sceptic are epistemological and semantic externalism, and the focus on relevance [Bernecker/Dretske] |
3760 | Predictions are bound to be arbitrary if they depend on the language used [Bernecker/Dretske] |
3758 | Semantic externalism ties content to the world, reducing error [Bernecker/Dretske] |
23261 | A people, not government, creates a constitution, which is essential for legitimacy [Paine] |