Combining Texts

Ideas for 'Abstract Objects', 'Rationality and Logic' and 'Explanation - Opening Address'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic is explanatorily and ontologically dependent on rational animals [Hanna]
     Full Idea: Logic is explanatorily and ontologically dependent on rational animals.
     From: Robert Hanna (Rationality and Logic [2006], 1.6)
     A reaction: This is a splendid defiance of the standard Fregean view of logic as having an inner validity of its own, having nothing to do with the psychology of thinkers. But if Hanna is right, why does logical consequence seem to be necessary?
Logic is personal and variable, but it has a universal core [Hanna]
     Full Idea: Beyond an innate and thus universally share protologic, each reasoner's mental logic is only more or less similar to the mental logic of any other reasoner.
     From: Robert Hanna (Rationality and Logic [2006], 5.7)
     A reaction: This is the main thesis of Hanna's book. I like the combination of this idea with Stephen Read's remark that each student should work out a personal logic which has their own private endorsement.
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Intensional consequence is based on the content of the concepts [Hanna]
     Full Idea: In intensional logic the consequence relation is based on the form or content of the concepts or properties expressed by the predicates.
     From: Robert Hanna (Rationality and Logic [2006], 2.2)
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
We should decide whether singular terms are genuine by their usage [Hale]
     Full Idea: The criteria for a genuine singular term should pick out not the singular terms themselves but their uses, since they may be genuine in one context and not another.
     From: Bob Hale (Abstract Objects [1987], Ch.2.II)
     A reaction: [rephrased] This will certainly meet problems with vagueness (e.g. as the reference of a singular term is gradually clarified).
Often the same singular term does not ensure reliable inference [Hale]
     Full Idea: In 'the whale is increasingly scarce' and 'the whale is much improved today' (our pet whale), we cannot infer that there is something that is much improved and increasingly scarce, so this singular term fails Dummett's criterion based on inference.
     From: Bob Hale (Abstract Objects [1987], Ch.2)
     A reaction: [much rephrased] This is not just a problem for a few cunningly selected examples. With contortions almost any singular term can be undermined in this way. Singular terms are simply not a useful guide to the existence of abstracta.
Plenty of clear examples have singular terms with no ontological commitment [Hale]
     Full Idea: Some examples where a definite singular noun phrase is not 'genuine' (giving ontological commitment): 'left us in the lurch'; 'for my mother's sake'; 'given the sack'; 'in the nick of time', 'the whereabouts of the PM', 'the identity of the murderer'.
     From: Bob Hale (Abstract Objects [1987], Ch.2.II)
     A reaction: These are not just freakish examples. If I 'go on a journey', that doesn't involve extra entities called 'journeys', just because the meaning is clearer and a more commonplace part of the language.
If singular terms can't be language-neutral, then we face a relativity about their objects [Hale]
     Full Idea: If we lack any general, language-neutral characterization of singular terms, must not a parallel linguistic relativity infect the objects which are to be thought of as their non-linguistic correlates?
     From: Bob Hale (Abstract Objects [1987], Ch.2.III)
     A reaction: Hale thinks he can answer this, but I would have thought that this problem dooms the linguistic approach from the start. There needs to be more imagination about how very different a language could be, while still qualifying as a language.