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8083
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Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]
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Full Idea:
Boole proposed to use the entire apparatus of a school algebra class, with operations such as addition and multiplication, methods to solve equations, and the like, to produce an algebra of thought.
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From:
report of George Boole (The Laws of Thought [1854]) by Keith Devlin - Goodbye Descartes Ch.3
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A reaction:
The Stoics didn’t use any algebraic notation for their study of propositions, so Boole's idea launched full blown propositional logic, and the rest of modern logic followed. Nice one.
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8686
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Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
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Full Idea:
Boole (followed by Frege) began to turn logic from a branch of philosophy into a branch of mathematics. He brought an algebraic approach to propositions, and introduced the notion of a quantifier and a type of probabilistic reasoning.
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From:
report of George Boole (The Laws of Thought [1854], 3.2) by Michèle Friend - Introducing the Philosophy of Mathematics
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A reaction:
The result was that logic not only became more mathematical, but also more specialised. We now have two types of philosopher, those steeped in mathematical logic and the rest. They don't always sing from the same songsheet.
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22277
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Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
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Full Idea:
Boole's work was an early example of the axiomatic method, whereby intellectual economy is achieved by studying a set of axioms in which the primitive terms have multiple interpretations.
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From:
report of George Boole (The Laws of Thought [1854]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 02 'Boole'
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A reaction:
Unclear about this. I suppose the axioms are just syntactic, and a range of semantic interpretations can be applied. Are De Morgan's Laws interpretations, or implications of the syntactic axioms? The latter, I think.
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7519
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Many mental phenomena are totally unexplained by folk psychology [Churchland,PM]
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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.
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From:
Paul M. Churchland (Folk Psychology [1996], III)
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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.
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7520
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Folk psychology never makes any progress, and is marginalised by modern science [Churchland,PM]
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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.
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From:
Paul M. Churchland (Folk Psychology [1996], III)
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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.
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8408
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Probabilistic causation says C is a cause of E if it increases the chances of E occurring [Mellor, by Tooley]
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Full Idea:
The basic idea of probabilistic causation is that a sufficient condition of C's being a cause of E is that C and E are actual, individual events, and the objective chance of E's occurring is greater given the occurrence of C than it would be without C.
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From:
report of D.H. Mellor (The Facts of Causation [1995]) by Michael Tooley - Causation and Supervenience 5.3
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A reaction:
Mellor has to include objective 'chances' in his ontology to support his theory. As it stands this looks like a weak theory, since the event might not occur despite C happening, and some less likely event might turn out to be the actual cause.
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