7 ideas
13831 | Logic is based on transitions between sentences [Prawitz] |
Full Idea: I agree entirely with Dummett that the right way to answer the question 'what is logic?' is to consider transitions between sentences. | |
From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], §04) | |
A reaction: I always protest at this point that reliance on sentences is speciesism against animals, who are thereby debarred from reasoning. See the wonderful Idea 1875 of Chrysippus. Hacking's basic suggestion seems right. Transition between thoughts. |
13825 | Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz] |
Full Idea: With Gentzen's natural deduction, we may say that the introductions represent, as it were, the 'definitions' of the logical constants. The introductions are not literally understood as 'definitions'. | |
From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], 2.2.2) | |
A reaction: [Hacking, in 'What is Logic? §9' says Gentzen had the idea that his rules actually define the constants; not sure if Prawitz and Hacking are disagreeing] |
13823 | In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz] |
Full Idea: In Gentzen's natural deduction, the inferences are broken down into atomic steps in such a way that each step involves only one logical constant. The steps are the introduction or elimination of the logical constants. | |
From: Dag Prawitz (Gentzen's Analysis of First-Order Proofs [1974], 1.1) |
7518 | If folk psychology gives a network of causal laws, that fits neatly with functionalism [Churchland,PM] |
Full Idea: The portrait of folk psychology as a network of causal laws dovetailed neatly with the emerging philosophy of mind called functionalism. | |
From: Paul M. Churchland (Folk Psychology [1996], II) | |
A reaction: And from the lower levels functionalism is supported by the notion that the brain is modular. Note the word 'laws'; this implies an underlying precision in folk psychology, which is then easily attacked. Maybe the network is too complex for simple laws. |
7519 | Many mental phenomena are totally unexplained by folk psychology [Churchland,PM] |
Full Idea: Folk psychology fails utterly to explain a considerable variety of central psychological phenomena: mental illness, sleep, creativity, memory, intelligence differences, and many forms of learning, to cite just a few. | |
From: Paul M. Churchland (Folk Psychology [1996], III) | |
A reaction: If folk psychology is a theory, it will have been developed to predict behaviour, rather than as a full-blown psychological map. The odd thing is that some people seem to be very bad at folk psychology. |
7520 | Folk psychology never makes any progress, and is marginalised by modern science [Churchland,PM] |
Full Idea: Folk psychology has not progressed significantly in the last 2500 years; if anything, it has been steadily in retreat during this period; it does not integrate with modern science, and its emerging wallflower status bodes ill for its future. | |
From: Paul M. Churchland (Folk Psychology [1996], III) | |
A reaction: [compressed] However, while shares in alchemy and astrology have totally collapsed, folk psychology shows not the slightest sign of going away, and it is unclear how it ever could. See Idea 3177. |
7258 | The forefather of modern intuitionism is Richard Price [Price,R, by Dancy,J] |
Full Idea: The forefather of modern intuitionism is Richard Price. | |
From: report of Richard Price (works [1760]) by Jonathan Dancy - Intuitionism |