Essays in the philosophy and history of logic and mathematics /
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The book is a collection of the author's selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains essays in the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered. This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields.
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A collection of previously published essays; those originally written in Polish have been translated into English for this publication. :
1 online resource (343 pages) :
Includes bibliographical references (p. 301-334) and index. :
9789042030916 :
0303-8157 ; :
Available to subscribing member institutions only.
Hypothetical syllogistic and Stoic logic /
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This volume traces the development of Aristotle's hypothetical syllogistic through antiquity, and shows for the first time how it later became misidentified with the logic of the rival Stoic school. By charting the origins of this error, the book illuminates elements of Aristotelian logic that have been obscured for almost two thousand years, and raises important issues concerning the distinctive roles of semantic and syntactic analysis in theories of logical consequence. The first chapters of the book deal with the original Aristotelian hypothetical syllogistic, and explain how Aristotle's later followers began to conflate it with Stoic logic. The final chapters examine in detail the two most crucial surviving treatments of the subject, Boethius's On hypothetical syllogisms and On Cicero's Topics , which carried this conflation into the Middle Ages.
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Based on the author's thesis (doctoral)--University of Toronto. :
1 online resource (xiii, 143 pages) :
Includes bibliographical references (p. 135-138) and indexes. :
9789004321120 :
0079-1687 ; :
Available to subscribing member institutions only.