89 ideas
9672 | Free logic is one of the few first-order non-classical logics [Priest,G] |
9697 | X1 x X2 x X3... x Xn indicates the 'cartesian product' of those sets [Priest,G] |
9685 | <a,b&62; is a set whose members occur in the order shown [Priest,G] |
9675 | a ∈ X says a is an object in set X; a ∉ X says a is not in X [Priest,G] |
9674 | {x; A(x)} is a set of objects satisfying the condition A(x) [Priest,G] |
9673 | {a1, a2, ...an} indicates that a set comprising just those objects [Priest,G] |
9677 | Φ indicates the empty set, which has no members [Priest,G] |
9676 | {a} is the 'singleton' set of a (not the object a itself) [Priest,G] |
9679 | X⊂Y means set X is a 'proper subset' of set Y [Priest,G] |
9678 | X⊆Y means set X is a 'subset' of set Y [Priest,G] |
9681 | X = Y means the set X equals the set Y [Priest,G] |
9683 | X ∩ Y indicates the 'intersection' of sets X and Y, the objects which are in both sets [Priest,G] |
9682 | X∪Y indicates the 'union' of all the things in sets X and Y [Priest,G] |
9684 | Y - X is the 'relative complement' of X with respect to Y; the things in Y that are not in X [Priest,G] |
9694 | The 'relative complement' is things in the second set not in the first [Priest,G] |
9693 | The 'intersection' of two sets is a set of the things that are in both sets [Priest,G] |
9692 | The 'union' of two sets is a set containing all the things in either of the sets [Priest,G] |
9698 | The 'induction clause' says complex formulas retain the properties of their basic formulas [Priest,G] |
9688 | A 'singleton' is a set with only one member [Priest,G] |
9687 | A 'member' of a set is one of the objects in the set [Priest,G] |
9695 | An 'ordered pair' (or ordered n-tuple) is a set with its members in a particular order [Priest,G] |
9696 | A 'cartesian product' of sets is the set of all the n-tuples with one member in each of the sets [Priest,G] |
9686 | A 'set' is a collection of objects [Priest,G] |
9689 | The 'empty set' or 'null set' has no members [Priest,G] |
9690 | A set is a 'subset' of another set if all of its members are in that set [Priest,G] |
9691 | A 'proper subset' is smaller than the containing set [Priest,G] |
9680 | The empty set Φ is a subset of every set (including itself) [Priest,G] |
3137 | Varieties of singular terms are used to designate token particulars [Rey] |
3143 | Physics requires the existence of properties, and also the abstract objects of arithmetic [Rey] |
3145 | The Indiscernibility of Identicals is a truism; but the Identity of Indiscernibles depends on possible identical worlds [Rey] |
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] |
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] |
3195 | If reason could be explained in computational terms, there would be no need for the concept of 'free will' [Rey] |
3196 | Free will isn't evidence against a theory of thought if there is no evidence for 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] |
3140 | If you explain water as H2O, you have reduced water, but not eliminated it [Rey] |
3134 | Human behaviour can show law-like regularity, which eliminativism can't explain [Rey] |
3200 | Pattern recognition is puzzling for computation, but makes sense for connectionism [Rey] |
3201 | Connectionism explains well speed of perception and 'graceful degradation' [Rey] |
3202 | Connectionism explains irrationality (such as the Gamblers' Fallacy) quite well [Rey] |
3199 | Connectionism assigns numbers to nodes and branches, and plots the outcomes [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] |
3174 | Good grammar can't come simply from stimuli [Rey] |
3171 | Children speak 90% good grammar [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] |
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] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |