By Pieter A. M. Seuren
The common sense of Language opens a brand new standpoint on common sense. Pieter Seuren argues that the good judgment of language derives from the lexical meanings of the logical operators. those meanings, despite the fact that, end up to not be constant. Seuren solves this challenge via an indepth research of the practical adequacy of traditional predicate good judgment and traditional sleek good judgment for typical linguistic interplay. He then develops a common idea of discourse-bound interpretation, overlaying discourse incrementation, anaphora, presupposition and topic-comment constitution, all of which, the writer claims, shape the 'cement' of discourse constitution. this can be the second one of a two-volume foundational examine of language, released lower than the identify Language from Within. Pieter Seuren discusses such it sounds as if various matters because the ontology underlying the semantics of language, speech act idea, intensionality phenomena, the equipment and ecology of language, sentential and lexical that means, the traditional common sense of language and cognition, and the intrinsically context-sensitive nature of language - and indicates them to be in detail associated. all through his bold company, he continues a continuing discussion with demonstrated perspectives, reflecting their improvement from historical Greece to the current. The ensuing synthesis issues crucial facets of analysis and thought in linguistics, philosophy and cognitive technology.
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Additional info for The Logic of Language: Language From Within
6a to be the preferred representation. 1 I am indebted to Dany Jaspers (2005: 34–5) for calling this fact to my attention. 36 The Logic of Language The isomorphy of a representation is important not only because it shows up more regularities in the system than nonisomorphic representations but also because it adds a criterion for the consistency of the logic in question. The criterion can be formulated as follows: THE ISOMORPHY PRINCIPLE Given the Modulo-*-principle, the (meta)logical relations deﬁned for the operators of predicate calculus (the quantiﬁers and negation) must be the same no matter whether the main or G-predicate is or is not characterized by internal negation.
And of these eternal sentences, it is only the universally and existentially quantiﬁed ones that play a role in the logic. ‘Indeﬁnite’, or as we might say, generic, sentences are given a good deal of attention in On Interpretation, but they play no part in the logical system. Aristotle would have no truck with occasion sentences, probably, one surmises, because he saw the problems coming, as one cannot deal with the logic, or indeed the semantics, of occasion sentences without taking into account conditions of anchoring and keying, which pose an immediate threat to the simplicity of the system.
Logicians have observed that a similar relation of duality exists between the propositional operators AND and OR, a form of duality known as DE MORGAN’S LAWS. In standard propositional logic, the operators of negation, conjunction and disjunction are deﬁned in such a way that for the L-propositions P and Q, NOT(P AND Q) is equivalent with NOT(P) OR NOT(Q). Analogously, NOT(P OR Q) 34 The Logic of Language is equivalent with NOT(P) AND NOT(Q), or in standard notation: ¬(P ∧ Q) ¬P ∨ ¬Q and ¬(P ∨ Q) ¬P ∧ ¬Q.