37 ideas
2956 | There is nothing so obvious that a philosopher cannot be found to deny it [Lockwood] |
2963 | There may only be necessary and sufficient conditions (and counterfactuals) because we intervene in the world [Lockwood] |
2958 | No one has ever succeeded in producing an acceptable non-trivial analysis of anything [Lockwood] |
2959 | If something is described in two different ways, is that two facts, or one fact presented in two ways? [Lockwood] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
8764 | Categories are the best foundation for mathematics [Shapiro] |
8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
2969 | How does a direct realist distinguish a building from Buckingham Palace? [Lockwood] |
16473 | Modal Rationalism: conceivability gives a priori access to modal truths [Chalmers, by Stalnaker] |
19258 | Evaluate primary possibility from some world, and secondary possibility from this world [Chalmers, by Vaidya] |
2970 | Dogs seem to have beliefs, and beliefs require concepts [Lockwood] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
2961 | Empiricism is a theory of meaning as well as of knowledge [Lockwood] |
2960 | Commonsense realism must account for the similarity of genuine perceptions and known illusions [Lockwood] |
2952 | A 1988 estimate gave the brain 3 x 10-to-the-14 synaptic junctions [Lockwood] |
2964 | How come unconscious states also cause behaviour? [Lockwood] |
2951 | Could there be unconscious beliefs and desires? [Lockwood] |
2953 | Fish may operate by blindsight [Lockwood] |
2967 | We might even learn some fundamental physics from introspection [Lockwood] |
2966 | Can phenomenal qualities exist unsensed? [Lockwood] |
2955 | If mental events occur in time, then relativity says they are in space [Lockwood] |
2950 | Only logical positivists ever believed behaviourism [Lockwood] |
2954 | Identity theory likes the identity of lightning and electrical discharges [Lockwood] |
2971 | Perhaps logical positivism showed that there is no dividing line between science and metaphysics [Lockwood] |
2962 | Maybe causation is a form of rational explanation, not an observation or a state of mind [Lockwood] |
2949 | We have the confused idea that time is a process of change [Lockwood] |