105 ideas
10987 | Three traditional names of rules are 'Simplification', 'Addition' and 'Disjunctive Syllogism' [Read] |
11004 | Necessity is provability in S4, and true in all worlds in S5 [Read] |
11018 | There are fuzzy predicates (and sets), and fuzzy quantifiers and modifiers [Read] |
11011 | Same say there are positive, negative and neuter free logics [Read] |
11020 | Realisms like the full Comprehension Principle, that all good concepts determine sets [Read] |
10986 | Not all validity is captured in first-order logic [Read] |
10972 | The non-emptiness of the domain is characteristic of classical logic [Read] |
11024 | Semantics must precede proof in higher-order logics, since they are incomplete [Read] |
10985 | We should exclude second-order logic, precisely because it captures arithmetic [Read] |
10970 | A theory of logical consequence is a conceptual analysis, and a set of validity techniques [Read] |
10984 | Logical consequence isn't just a matter of form; it depends on connections like round-square [Read] |
10973 | A theory is logically closed, which means infinite premisses [Read] |
3137 | Varieties of singular terms are used to designate token particulars [Rey] |
11007 | Quantifiers are second-order predicates [Read] |
10978 | In second-order logic the higher-order variables range over all the properties of the objects [Read] |
10971 | A logical truth is the conclusion of a valid inference with no premisses [Read] |
10988 | Any first-order theory of sets is inadequate [Read] |
10975 | Compactness does not deny that an inference can have infinitely many premisses [Read] |
10974 | Compactness is when any consequence of infinite propositions is the consequence of a finite subset [Read] |
10977 | Compactness blocks the proof of 'for every n, A(n)' (as the proof would be infinite) [Read] |
10976 | Compactness makes consequence manageable, but restricts expressive power [Read] |
11014 | Self-reference paradoxes seem to arise only when falsity is involved [Read] |
11025 | Infinite cuts and successors seems to suggest an actual infinity there waiting for us [Read] |
18200 | Very large sets should be studied in an 'if-then' spirit [Putnam] |
10979 | Although second-order arithmetic is incomplete, it can fully model normal arithmetic [Read] |
10980 | Second-order arithmetic covers all properties, ensuring categoricity [Read] |
10997 | Von Neumann numbers are helpful, but don't correctly describe numbers [Read] |
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] |
3143 | Physics requires the existence of properties, and also the abstract objects of arithmetic [Rey] |
11016 | Would a language without vagueness be usable at all? [Read] |
11019 | Supervaluations say there is a cut-off somewhere, but at no particular place [Read] |
11012 | A 'supervaluation' gives a proposition consistent truth-value for classical assignments [Read] |
11013 | Identities and the Indiscernibility of Identicals don't work with supervaluations [Read] |
10995 | A haecceity is a set of individual properties, essential to each thing [Read] |
3145 | The Indiscernibility of Identicals is a truism; but the Identity of Indiscernibles depends on possible identical worlds [Rey] |
11001 | Equating necessity with truth in every possible world is the S5 conception of necessity [Read] |
10989 | The standard view of conditionals is that they are truth-functional [Read] |
10992 | The point of conditionals is to show that one will accept modus ponens [Read] |
11017 | Some people even claim that conditionals do not express propositions [Read] |
10983 | Knowledge of possible worlds is not causal, but is an ontology entailed by semantics [Read] |
10982 | How can modal Platonists know the truth of a modal proposition? [Read] |
10996 | Actualism is reductionist (to parts of actuality), or moderate realist (accepting real abstractions) [Read] |
10981 | A possible world is a determination of the truth-values of all propositions of a domain [Read] |
11000 | If worlds are concrete, objects can't be present in more than one, and can only have counterparts [Read] |
3172 | Empiricism says experience is both origin and justification of all knowledge [Rey] |
3166 | Animal learning is separate from their behaviour [Rey] |
3232 | Abduction could have true data and a false conclusion, and may include data not originally mentioned [Rey] |
3128 | It's not at all clear that explanation needs to stop anywhere [Rey] |
3136 | The three theories are reduction, dualism, eliminativism [Rey] |
3141 | Is consciousness 40Hz oscillations in layers 5 and 6 of the visual cortex? [Rey] |
3148 | Dualist privacy is seen as too deep for even telepathy to reach [Rey] |
3164 | Intentional explanations are always circular [Rey] |
3138 | Arithmetic and unconscious attitudes have no qualia [Rey] |
3142 | Why qualia, and why this particular quale? [Rey] |
3224 | If qualia have no function, their attachment to thoughts is accidental [Rey] |
3227 | Are qualia a type of propositional attitude? [Rey] |
3226 | Are qualia irrelevant to explaining the mind? [Rey] |
3229 | If colour fits a cone mapping hue, brightness and saturation, rotating the cone could give spectrum inversion [Rey] |
10998 | The mind abstracts ways things might be, which are nonetheless real [Read] |
3223 | Self-consciousness may just be nested intentionality [Rey] |
3162 | Experiments prove that people are often unaware of their motives [Rey] |
3163 | Brain damage makes the unreliability of introspection obvious [Rey] |
3196 | Free will isn't evidence against a theory of thought if there is no evidence for free will [Rey] |
3195 | If reason could be explained in computational terms, there would be no need for the concept of 'free will' [Rey] |
3180 | Maybe behaviourists should define mental states as a group [Rey] |
3165 | Behaviourism is eliminative, or reductionist, or methodological [Rey] |
3167 | Animals don't just respond to stimuli, they experiment [Rey] |
3173 | How are stimuli and responses 'similar'? [Rey] |
3179 | Behaviour is too contingent and irrelevant to be the mind [Rey] |
3186 | If a normal person lacked a brain, would you say they had no mind? [Rey] |
3127 | Dualism and physicalism explain nothing, and don't suggest any research [Rey] |
3188 | Homuncular functionalism (e.g. Freud) could be based on simpler mechanical processes [Rey] |
3216 | Is the room functionally the same as a Chinese speaker? [Rey] |
3220 | Searle is guilty of the fallacy of division - attributing a property of the whole to a part [Rey] |
3206 | One computer program could either play chess or fight a war [Rey] |
3134 | Human behaviour can show law-like regularity, which eliminativism can't explain [Rey] |
3140 | If you explain water as H2O, you have reduced water, but not eliminated it [Rey] |
3199 | Connectionism assigns numbers to nodes and branches, and plots the outcomes [Rey] |
3201 | Connectionism explains well speed of perception and 'graceful degradation' [Rey] |
3202 | Connectionism explains irrationality (such as the Gamblers' Fallacy) quite well [Rey] |
3200 | Pattern recognition is puzzling for computation, but makes sense for connectionism [Rey] |
3150 | Can identity explain reason, free will, non-extension, intentionality, subjectivity, experience? [Rey] |
3129 | Physicalism offers something called "complexity" instead of mental substance [Rey] |
3139 | Some attitudes are information (belief), others motivate (hatred) [Rey] |
3171 | Children speak 90% good grammar [Rey] |
3174 | Good grammar can't come simply from stimuli [Rey] |
3213 | Animals may also use a language of thought [Rey] |
3170 | We train children in truth, not in grammar [Rey] |
3215 | Images can't replace computation, as they need it [Rey] |
3194 | CRTT is good on deduction, but not so hot on induction, abduction and practical reason [Rey] |
3147 | Problem-solving clearly involves manipulating images [Rey] |
3175 | Animals map things over time as well as over space [Rey] |
3207 | Simple externalism is that the meaning just is the object [Rey] |
3176 | Anything bears a family resemblance to a game, but obviously not anything counts as one [Rey] |
3181 | A one hour gap in time might be indirectly verified, but then almost anything could be [Rey] |
3204 | The meaning of "and" may be its use, but not of "animal" [Rey] |
3205 | Semantic holism means new evidence for a belief changes the belief, and we can't agree on concepts [Rey] |
3209 | Causal theories of reference (by 'dubbing') don't eliminate meanings in the heads of dubbers [Rey] |
3210 | If meaning and reference are based on causation, then virtually everything has meaning [Rey] |
3149 | Referential Opacity says truth is lost when you substitute one referring term ('mother') for another ('Jocasta') [Rey] |
11005 | Negative existentials with compositionality make the whole sentence meaningless [Read] |
10966 | A proposition objectifies what a sentence says, as indicative, with secure references [Read] |
3169 | A simple chaining device can't build sentences containing 'either..or', or 'if..then' [Rey] |
3221 | Our desires become important when we have desires about desires [Rey] |