Algebraic Semantics in Language and Philosophy by Godehard Link PDF

By Godehard Link

ISBN-10: 1575860902

ISBN-13: 9781575860909

ISBN-10: 1575860910

ISBN-13: 9781575860916

The philosophical technique of this quantity is especially structuralist, utilizing logical instruments to enquire the formal constitution of varied varieties of gadgets in our international, as characterized via language and as systematised by way of philosophy. This quantity regularly analyses the structural homes of collections or pluralities (with functions to the philosophy of set theory), homogeneous items like water, and the semantics and philosophy of occasions. This booklet thereby enhances algebraic paintings that has been performed on different philosophical entities, i.e. propositions, homes, kinfolk, or occasions. situated within the triangle of language, common sense and philosophy, this quantity is exclusive in combining the assets of alternative ?elds in an interdisciplinary company. 1/2 the fourteen chapters of this quantity are unique papers, complementing the gathering of the author's formerly released essays at the topic.

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I(x) ^ x for all x & D; /i(sup

I now provide a model-theoretic interpretation of the formal system LPM. 22) 25 A Boolean model structure with homogeneous kernel ("boosk") is a quadruple B = (E, A, D, h) such that 1. ) Boolean algebra, with join operation Ut and the intrinsic ordering relation <8; 2. A C E is the set of atoms in E. 3. D C E is a complete join-semilattice with join U and ordering relation <; 4. , /i(x) ^ x for all x & D; /i(sup

Unlike the Boolean join this carries the presupposition that both sets of objects be non-empty. I think this is as it should be. e. we have ax (£' © r/'}(x) — ax(( and rj)'(x). What is not captured in either approach, however, is the proper pair reading which is dominant in sentences like landlords and tenants who hate each other will always find something to argue about. I find these constructions hard to treat at the moment though I am confident that they will finally lend themselves to an analysis which is compatible with the present framework.

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Algebraic Semantics in Language and Philosophy by Godehard Link

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