Although almost unknown in his lifetime, it was Gottlob Frege (1848-1925) who set the agenda for much of twentieth-century philosophy. His 'concept script' overthrew Aristotle's long-established system of logic and underlies all subsequent developments in the subject. His radically new approach to the foundations of arithmetic, based on fresh definitions of the terms 'zero', 'one' and 'successor', revolutionized our understanding of mathematics. And his important insights into the nature of language and meaning provided the framework for Russell, Wittgenstein and twentieth-century linguistic analysis. In this superb survey of his evolving ideas, Anthony Kenny explains and assesses the full range of Frege's work and reveals why it still forms an ideal introduction to modern analytic philosophy. Even after seventy years, he concludes, Frege remains an absolutely central figure, one of those rare thinkers who wrote 'prose which is accessible and attractive on first acquaintance and yet which repays rereading over a lifetime'.
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Biographical Introduction to Freges Philosophy
Concept Script I
The Foundations of Arithmetic I 50
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analytic argument place assertion sign axioms calculus called clause complete Concept and Object concept F concept horse Concept Script correspond defined discovered oxygen distinction equation equivalent expression extension falling under F first-level follows formula Foundations of Arithmetic Frege introduces Frege says function and argument Function and Concept geometry grasp Grundgesetze idea identity individual numbers inference instance intuition judgement Julius Caesar Kant kind laws of logic linguistic functions logicians mathematical mathematicians mean mental image Moon mortal natural numbers negation notation notion number belonging number series number which belongs objects falling ordinary language P. T. Geach philosophical possible priori proof proper name proposition psychology question regarded relation replace Russell's paradox second-level functions sense and reference sentence series of natural signified statement symbol theorem theory thesis things tion translation true truth truth-functional truth-value unsaturated value-range variables verb William defeated word zero