Combining Philosophers

All the ideas for Geoffrey Gorham, Stephen P. Stich and Henri Poincar

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17 ideas

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 / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
     Full Idea: One geometry cannot be more true than another; it can only be more convenient.
     From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
     Full Idea: Poincaré rejected the actual infinite. He viewed mathematics that is apparently concerned with the actual infinite as actually concerning the finite linguistic definitions the putatively describe actually infinite objects.
     From: report of Henri Poincaré (On the Nature of Mathematical Reasoning [1894]) by Shaughan Lavine - Understanding the Infinite
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematicians do not study objects, but relations between objects [Poincaré]
     Full Idea: Mathematicians do not study objects, but relations between objects; it is a matter of indifference if the objects are replaced by others, provided the relations do not change. They are interested in form alone, not matter.
     From: Henri Poincaré (Science and Hypothesis [1902], p.20), quoted by E Reck / M Price - Structures and Structuralism in Phil of Maths §6
     A reaction: This connects modern structuralism with Aritotle's interest in the 'form' of things. Contrary to the views of the likes of Frege, it is hard to see that the number '7' has any properties at all, apart from its relations. A daffodil would do just as well.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Convention, yes! Arbitrary, no! [Poincaré, by Putnam]
     Full Idea: Poincaré once exclaimed, 'Convention, yes! Arbitrary, no!'.
     From: report of Henri Poincaré (talk [1901]) by Hilary Putnam - Models and Reality
     A reaction: An interesting view. It mustn't be assumed that conventions are not rooted in something. Maybe a sort of pragmatism is implied.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Avoid non-predicative classifications and definitions [Poincaré]
     Full Idea: Never consider any objects but those capable of being defined in a finite number of word ...Avoid non-predicative classifications and definitions.
     From: Henri Poincaré (The Logic of Infinity [1909], p.63), quoted by Penelope Maddy - Naturalism in Mathematics II.4
14. Science / A. Basis of Science / 6. Falsification
If a theory is more informative it is less probable [Gorham]
     Full Idea: Popper's theory implies that more informative theories seem to be less probable.
     From: Geoffrey Gorham (Philosophy of Science [2009], 3)
     A reaction: [On p.75 Gorham replies to this objection] The point is that to be more testable they must be more detailed. He's not wrong. Theories are meant to be general, so they sweep up the details. But they need precise generalities and specifics.
Why abandon a theory if you don't have a better one? [Gorham]
     Full Idea: There is no sense in abandoning a successful theory if you have nothing to replace it with.
     From: Geoffrey Gorham (Philosophy of Science [2009], 2)
     A reaction: This is also a problem for infererence to the best explanation. What to do if your best explanation is not very good? The simple message is do not rush to dump a theory when faced with an anomaly.
14. Science / B. Scientific Theories / 1. Scientific Theory
Is Newton simpler with universal simultaneity, or Einstein simpler without absolute time? [Gorham]
     Full Idea: Is Newton's theory simpler than Einstein's, since there is only one relation of simultaneity in absolute time, or is Einstein's simpler because it dispenses with absolute time altogether?
     From: Geoffrey Gorham (Philosophy of Science [2009], 4)
     A reaction: A nice question, to which a good scientist might be willing to offer an answer. Since simultaneity is crucial but the existence of time is not, I would vote for Newton as the simpler.
Structural Realism says mathematical structures persist after theory rejection [Gorham]
     Full Idea: Structural Realists say that modern science achieves a true or 'truer' account of the world only with respect to its mathematical structure rather than its intrinsic qualities or nature. The structure carries over to new theories.
     From: Geoffrey Gorham (Philosophy of Science [2009], 4)
     A reaction: At first glance I am unconvinced that when an old theory is replaced it neverthess contains some sort of 'mathematical structure' which endures and is worth preserving. No doubt Worrall, French and co have examples.
Structural Realists must show the mathematics is both crucial and separate [Gorham]
     Full Idea: Structural Realists must show that it is the mathematical aspects of the theories, not their content, that account for their success ….and that their structure and content can be clearly separated.
     From: Geoffrey Gorham (Philosophy of Science [2009], 4)
     A reaction: Their approach certainly seems to rely on mathematical types of science, so it presumably fits biology, geology and even astronomy less well.
14. Science / B. Scientific Theories / 3. Instrumentalism
Theories aren't just for organising present experience if they concern the past or future [Gorham]
     Full Idea: The strangeness of interpreting theories as mere tools for organising present experience is brought out clearly in sciences like cosmology and paleontology, which largely concern events in the remote past or future.
     From: Geoffrey Gorham (Philosophy of Science [2009], 4)
     A reaction: Not conclusive. An anti-realist has to interpret those sciences in terms of the current observations that are available.
For most scientists their concepts are not just useful, but are meant to be true and accurate [Gorham]
     Full Idea: The main difficulty with instrumentalism is its implausible account ot the meaning of theoretical claims and concepts. Most scientists take them to be straightforward attempts to describe the world. Most say they are useful because they are accurate.
     From: Geoffrey Gorham (Philosophy of Science [2009], 4)
     A reaction: Instrumentalism is seen as a Pragmatist view, and Dewey is cited.
14. Science / D. Explanation / 2. Types of Explanation / d. Consilience
Consilience makes the component sciences more likely [Gorham]
     Full Idea: The more unification and integration is found among the modern sciences, the less likely it seems it will have all been a dream.
     From: Geoffrey Gorham (Philosophy of Science [2009], 4)
     A reaction: I believe this strongly. Ancient theories which were complex, wide ranging and false do not impress me. This is part of my coherence view of justification.
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.
26. Natural Theory / A. Speculations on Nature / 1. Nature
Aristotelian physics has circular celestial motion and linear earthly motion [Gorham]
     Full Idea: Aristotelian physics assumed that celestial motion is naturally circular and eternal while terrestrial motion is naturally toward the center of the earth and final.
     From: Geoffrey Gorham (Philosophy of Science [2009], 4)
     A reaction: The overthrow of this by Galileo and then Newton may have been the most dramatic revolution of the new science. It opened up the possibility of universal laws of physics.
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]
     Full Idea: In Poincaré's view, we try to construct a language within which the brute facts of experience are expressed as comprehensively and as elegantly as possible. The job of science is the forging of a language precisely suited to that purpose.
     From: report of Henri Poincaré (The Value of Science [1906], Pt III) by Rom Harré - Laws of Nature 2
     A reaction: I'm often struck by how obscure and difficult our accounts of self-evident facts can be. Chairs are easy, and the metaphysics of chairs is hideous. Why is that? I'm a robust realist, but I like Poincaré's idea. He permits facts.