New Essays on the Philosophy of Michael Dummett
Johannes Brandl, Peter M. Sullivan
Rodopi, 1998 - Philosophy - 263 pages
Ever since the publication of 'Truth' in 1959 Sir Michael Dummett has been acknowledged as one of the most profoundly creative and influential of contemporary philosophers. His contributions to the philosophy of thought and language, logic, the philosophy of mathematics, and metaphysics have set the terms of some of most fruitful discussions in philosophy. His work on Frege stands unparalleled, both as landmark in the history of philosophy and as a deep reflection on the defining commitments of the analytic school. This volume of specially composed essays on Dummett's philosophy presents a new perspective on his achievements, and provides a focus for further research fully informed by the Dummett's most recent publications. Collectively the essays in philosophy of mathematics provide the most sustained discussion to date of the role of Dummett's diagnosis of the root of the logico-mathematical paradoxes in his case for an intuitionist revision of classical mathematics. The themes of other essays include a fundamental challenge to Dummett's Fregean understanding of predication, and a criticism of his case for logical revision outside of mathematics.
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argue axioms bivalence Boolos Brouwer cepts claim classical logic classical quantification concept horse concept of set consciousness consistent context contradiction copula Crispin Wright defined definite conception definite totality demonstrative describe domain domain of quantification Dummett Dummett's argument equinumerosity essay Evans example existence expressions finite formal system Frege Fregean given Godel's theorem grasp hazy totalities Husserl idea that meaning impredicative indefinitely extensible concepts indexical infinite interpretation intuition intuitionism intuitionistic arithmetic intuitionistic logic isostheneia ject Ln+i logical constants metaphysics Michael Dummett natural numbers negation notion object ordinal number Oxford particular Philosophy of Language Philosophy of Mathematics possible predicate problem proof propositions question real number recursive relation rules Russell's semantic value sense sentence set theory Shergar singular term specify stand statement subsets suppose theory of meaning things thought tion tive true or false truth value understanding University utterance variables Wittgenstein