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All the ideas for 'works', 'Universal Arithmetick' and 'The Fragmentation of Reason'

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5 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam]
     Full Idea: Realism….is the only philosophy science which does not make the success of science a miracle.
     From: Hilary Putnam (works [1980]), quoted by Alexander Bird - Philosophy of Science Ch.4
     A reaction: This was from his earlier work; he became more pragmatist and anti-realist later. Personally I approve of the remark. The philosophy of science must certainly offer an explanation for its success. Truth seems the obvious explanation.
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Radical pragmatists abandon the notion of truth [Stich, by Lowe]
     Full Idea: Some radical pragmatists, such as Stich, are ready to abandon the notion of truth.
     From: report of Stephen P. Stich (The Fragmentation of Reason [1990]) by E.J. Lowe - Introduction to the Philosophy of Mind Ch.3 n18
     A reaction: Such a proposal strikes me as silly (unless the vacuum left by truth can be filled by something better than just the test of whether 'it works'). It currently strikes me that pragmatism has a sane wing (led by Peirce), and a mad wing.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
A number is not a multitude, but a unified ratio between quantities [Newton]
     Full Idea: By a Number we understand not so much a Multitude of Unities, as the abstracted Ratio of any Quantity to another Quantity of the same Kind, which we take for unity.
     From: Isaac Newton (Universal Arithmetick [1669]), quoted by John Mayberry - What Required for Foundation for Maths? p.407-2
     A reaction: This needs a metaphysics of 'kinds' (since lines can't have ratios with solids). Presumably Newton wants the real numbers to be more basic than the natural numbers. This is the transition from Greek to modern.
7. Existence / D. Theories of Reality / 4. Anti-realism
Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha]
     Full Idea: Putnam's 'no miracle' argument says that being an anti-realist is akin to believing in miracles (because of the accurate predictons). …It is a plausibility argument - an inference to the best explanation.
     From: report of Hilary Putnam (works [1980]) by Samir Okasha - Philosophy of Science: Very Short Intro (2nd ed) 4
     A reaction: [not sure of ref] Putnam later backs off from this argument, but my personal realism rests on best explanation. Does anyone want to prefer an inferior explanation? The objection is that successful theories can turn out to be false. Phlogiston, ether.
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Stich accepts eliminativism (labelled 'pragmatism') about rationality and normativity [Stich, by Engel]
     Full Idea: Stich accepts a form of eliminativism (which he calls 'pragmatism') about rationality and normativity generally.
     From: report of Stephen P. Stich (The Fragmentation of Reason [1990]) by Pascal Engel - Truth §5.3
     A reaction: This seems to be the correct position for a Humean empiricist connectionist. Presumably he has some good reasons for eliminating rationality.