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Frege's Theorem
Frege's Theorem collects eleven essays by Richard G Heck, Jr, one of the world's leading authorities on Frege's philosophy. The Theorem is the central contribution of Gottlob Frege's formal work on arithmetic. It tells us that the axioms of arithmetic can be derived, purely logically, from a single principle: the number of these things is the same as the number of those things just in case these can be matched up one-to-one with those. But that principle seems so utterly fundamental to thought about number that it might almost count as a definition of number. If so, Frege's Theorem shows that arithmetic follows, purely logically, from a near definition. As Crispin Wright was the first to mak...
Modes of Representation
Lois Lane knows that Superman can fly, but she does not know that Clark Kent can fly. How can that be, given that Superman and Clark are one and the same? To answer this question, Frege famously distinguished the reference of a name (the thing it is a name of) from what he called its 'sense' or 'mode of presentation'. The sense was meant to capture our (necessarily limited) perspective on reference and to explain the difference in 'cognitive value' between "Superman can fly" and "Clark can fly". Frege's distinction has been widely discussed in the last century, but much about it remains unclear. In this collection, Richard Kimberly Heck, one of the world's foremost experts on Frege's philoso...
Essays on Frege's Basic Laws of Arithmetic
The volume is the first collection of essays that focuses on Gottlob Frege's Basic Laws of Arithmetic (1893/1903), highlighting both the technical and the philosophical richness of Frege's magnum opus. It brings together twenty-two renowned Frege scholars whose contributions discuss a wide range of topics arising from both volumes of Basic Laws of Arithmetic. The original chapters in this volume make vivid the importance and originality of Frege's masterpiece, not just for Frege scholars but for the study of the history of logic, mathematics, and philosophy.
The Riddle of Vagueness
It was well known to the Greeks that the phenomenon of vagueness in natural language gives rise to hard problems and paradoxes, yet more than two millennia passed before Philosophy began to pay any degree of concerted attention to the challenges of vagueness to match the effort expended, for example, on the Liar paradox and its kin. This situation changed dramatically in the last quarter of the twentieth century, when the Sorites paradox in particular began to provoke a dramatic intensification of research and publication. Crispin Wright has been in the international vanguard of the resulting modern debates that have attracted some of the most distinguished contemporary philosophers of logic...
The Journal of Philosophy
Covers topics in philosophy, psychology, and scientific methods. Vols. 31- include "A Bibliography of philosophy," 1933-
Language, Thought, and Logic
In this exciting new collection, a distinguished international group of philosophers contribute new essays on central issues in philosophy of language and logic, in honor of Michael Dummett, one of the most influential philosophers of the late twentieth century. The essays are focused on areas particularly associated with Professor Dummett. Five are contributions to the philosophy of language, addressing in particular the nature of truth and meaning and the relation between language and thought. Two contributors discuss time, in particular the reality of the past. The last four essays focus on Frege and the philosophy of mathematics. The volume represents some of the best work in contemporary analytical philosophy.
Mathematical Reviews
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The Philosophy of Michael Dummett
For over 50 years, Sir Michael Dummett has been a major philosophical voice in a wide range of fields, including epistemology, ontology, and the philosophy of language. This comprehensive volume treats all of these subjects and more in detail. It contains Dummett's intellectual autobiography, 27 previously unpublished critical and descriptive essays by famous scholars, a reply to each essay by Dummett, and a complete bibliography of his published works.
