Combining Philosophers

Ideas for Melvin Fitting, Stephen P. Schwartz and Michael Dummett

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4 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Ancient names like 'Obadiah' depend on tradition, not on where the name originated [Dummett]
     Full Idea: In the case of 'Obadiah', associated only with one act of writing a prophecy, ..it is the tradition which connects our use of the name with the man; where the actual name itself first came from has little to do with it.
     From: Michael Dummett (Frege's Distinction of Sense and Reference [1975], p.256)
     A reaction: Excellent. This seems to me a much more accurate account of reference than the notion of a baptism. In the case of 'Homer', whether someone was ever baptised thus is of no importance to us. The tradition is everything. Also Shakespeare.
We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP]
     Full Idea: We can refer to Thales by using the name "Thales" even though perhaps the only description we can supply is false of him.
     From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III)
     A reaction: It is not clear what we would be referring to if all of our descriptions (even 'Greek philosopher') were false. If an archaeologist finds just a scrap of stone with a name written on it, that is hardly a sufficient basis for successful reference.
The traditional theory of names says some of the descriptions must be correct [Schwartz,SP]
     Full Idea: The traditional theory of proper names entails that at least some combination of the things ordinarily believed of Aristotle are necessarily true of him.
     From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III)
     A reaction: Searle endorses this traditional theory. Kripke and co. tried to dismiss it, but you can't. If all descriptions of Aristotle turned out to be false (it was actually the name of a Persian statue), our modern references would have been unsuccessful.
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
λ-abstraction disambiguates the scope of modal operators [Fitting]
     Full Idea: λ-abstraction can be used to abstract and disambiguate a predicate. De re is [λx◊P(x)](f) - f has the possible-P property - and de dicto is ◊[λxP(x)](f) - possibly f has the P-property. Also applies to □.
     From: Melvin Fitting (Intensional Logic [2007], §3.3)
     A reaction: Compare the Barcan formula. Originated with Church in the 1930s, and Carnap 1947, but revived by Stalnaker and Thomason 1968. Because it refers to the predicate, it has a role in intensional versions of logic, especially modal logic.