Combining Texts

All the ideas for 'works', 'Elements of Intuitionism (2nd ed)' and 'Elements of Law and Justice'

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4 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.
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Mathematical statements and entities that result from an infinite process must lack a truth-value [Dummett]
     Full Idea: On an intuitionistic view, neither the truth-value of a statement nor any other mathematical entity can be given as the final result of an infinite process, since an infinite process is precisely one that does not have a final result.
     From: Michael Dummett (Elements of Intuitionism (2nd ed) [2000], p.41), quoted by Ian Rumfitt - The Boundary Stones of Thought 7.3
     A reaction: This is rather a persuasive reason to sympathise with intuitionism. Mathematical tricks about 'limits' have lured us into believing in completed infinities, but actually that idea is incoherent.
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.
14. Science / C. Induction / 2. Aims of Induction
Hypotheses come from induction, which is comparison of experiences [Leibniz]
     Full Idea: We construct a hypothesis on the basis of an induction, that is on the basis of a comparison of experiences.
     From: Gottfried Leibniz (Elements of Law and Justice [1669], p.2)
     A reaction: This fits the traditional positivist picture of science (observe-hypothesise-predict-observe). I like the definition of induction as 'comparison of experiences', because it doesn't reduce it to sequences of objects, and points to coherence.