Combining Philosophers

All the ideas for Oswald Veblen, Stephen P. Stich and Seymour Lipschutz

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4 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.
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
     Full Idea: A relation R on a non-empty set S is an equivalence relation if it is reflexive (for each member a, aRa), symmetric (if aRb, then bRa), and transitive (aRb and bRc, so aRc). It tries to classify objects that are in some way 'alike'.
     From: Seymour Lipschutz (Set Theory and related topics (2nd ed) [1998], 3.9)
     A reaction: So this is an attempt to formalise the common sense notion of seeing that two things have something in common. Presumably a 'way' of being alike is going to be a property or a part
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
We have no adequate logic at the moment, so mathematicians must create one [Veblen]
     Full Idea: Formal logic has to be taken over by mathematicians. The fact is that there does not exist an adequate logic at the present time, and unless the mathematicians create one, no one else is likely to do so.
     From: Oswald Veblen (Presidential Address of Am. Math. Soc [1924], 141), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This remark was made well after Frege, but before the advent of Gödel and Tarski. That implies that he was really thinking of meta-logic.
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.