The Syntactic Approach

Part of the Synthese Library book series (SYLI, volume 98)


Let us briefly recall what one understands by the term ‘axiomatic definition’. The axioms of a discipline contain primitive terms. They allow any interpretation compatible with the truth of the axioms in which they occur. By the same token they exclude other interpretations. One may thus, with Tarski, assimilate axioms to propositional functions and primitive terms to variables. Axioms effect a sorting-out among the objects that belong to the domain constituting the value-range of these variables; they select the classes of those objects of which they are true. It is this power of selection, of delimitation, that one associates with definition.


Propositional Calculus Propositional Variable Logical Truth Propositional Function Syntactic Approach 
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Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1980

Authors and Affiliations

  1. 1.Department of PhilosophyState University of LiègeBelgium

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