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Product details
File Size: 396 KB
Print Length: 176 pages
Publisher: Harvard University Press (June 11, 2018)
Publication Date: June 11, 2018
Sold by: Amazon Digital Services LLC
Language: English
ASIN: B07F2CFMFQ
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Parmenides’ poem (On Nature) poses a lot of challenges for the history of philosophy that comes afterwards. Kimhi focuses on Parmenides’ goddess’ distinction between two paths — the path, as Kimhi takes them, of “is†and the path of “is notâ€.The two paths are also called “the way of Truth†and “ the way of “Non-Being†or even the false. Parmenides himself actually suggests a third path, which tries to walk both “is†and “is not†at the same time — a path of contradiction.Understanding any of Parmenides’ paths is not easy, but the path of “is not†is especially vexing. The problem, as it has come down through the history of philosophy, and particularly the history of logic, is to understand the standing of what “is notâ€. When we say that the sky is not green, is there a fact in the world that we are pointing to, by which what we are saying is true, as there seems to be when we say the sky is blue? In the absence of such a fact, of the existence of what isn’t, in other words, what is it that we are saying when we say that something isn’t the case?Even the path of “is†is troubling. Setting aside for the moment Parmenides’ own arguments about the indivisibility of Being and the paradoxes of change that motivated the later Eleatic philosophers (famously, Zeno), what does it mean to say that something “isâ€? Is it a reference to a fact about the world, is it rather essentially an assertion by an implicit speaker, . . . . ?Those questions are at the root of logic, where logic is understood as the (prescriptive) structure of rational thought. And they are the problems that Kimhi is trying to solve here.He takes us through their history, beginning with Parmenides’ poem, through analyses of Aristotle’s, Plato’s, and Frege’s theories of logic, along with critical questions from Wittgenstein. In each, he finds clues taking him forward to what he ultimately believes to be a correct analysis of the roles of predication, propositions, negation, and intensional contexts in formal logic and the analysis of assertion.I’m hardly sufficiently versed in either the philosophy or history of logic to make a confident assessment of Kimhi’s argument and claims.His solution rests on a distinction between categorematic expressions and syncategorematic expressions. In the simplest of terms, a categorematic expression is one that can occur as a component of a proposition (S is p), either as its subject or predicate. The proposition will have a truth value based on the relationship of its categorematic components. A syncategorematic expression is one that cannot occur as a component of a proposition, as its subject or predicate.Kimhi argues that negation and intensional expressions are syncategorematic, as are propositions themselves considered as unities. Thus the proposition p, and its truth value, occurring in:(1) p(2) ~p(3) A thinks that pare the same. The differences among the three — the proposition, the negated proposition, and the proposition in an intensional context — are syncategorematic.And he claims that his analysis will render p and ~p as themselves a unity — an assertion of ~p asserts no other proposition than an assertion of p does. Both assertions are operations on a single proposition p. Kimhi believes that the problem posed in Parmendes’ poem, “thinking what is notâ€, is resolved through his analysis of categorematic and syncategorematic expressions.No doubt I haven’t done Kimhi’s work justice, and I’ve probably misstated points. As I said, I’m not a logician or an historian of logic. I’l be very interested to see what readers who are better equipped to assess his work have to say.Needless to say, this is a very dense, technical work, best read patiently, and optimally, with a good grounding in the history of the philosophy of logic.
Read the prologue and promptly returned it! Couldnt understand it!
Concise, Fast, Controversial... And makes intuitive, logical sense to me.
If you want to feel the force of living thinking with a feel for precise distinctions and genuine questions, read T and B.
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