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Mathematics
: History & Philosophy
History & Philosophy eBooks
You have selected the subject of History & Philosophy. The eBooks in this subject are listed below.
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RESULTS: 51 to 60 of 100
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Leonhard Euler
By: Fellmann, Emil A.
Published by: Springer
Leonhard Euler was by far the most productive mathematician in the history of mankind, and also one of the greatest scholars of all time. He attained, a degree of popularity and fame which may well be compared with that of Galilei, Newton, or Einstein. This book is based in part on unpublished sources and comes right out of the research on Euler.
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Price: $39.95
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The Limits of Abstraction
By: Fine, Kit
Published by: OUP Oxford
Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. <i>The Limits of Abstraction</i> breaks new ground both technically and philosophically. - ;What is abstraction? To what extent can it account for the existence and identity of abstract objects? And to what extent can it be used as a foundation for mathematics? Kit Fine provides rigorous and systematic answers to these questions along the lines proposed by Frege, in a book concerned both with the technical development of the subject and with its philosophical underpinnings. Fine proposes an account of what it is for a principle of abstraction to be acceptable, and these acceptable principles are exactly characterized. A formal theory of abstraction is developed and shown to be capable of providing a foundation for both arithmetic and analysis. Fine argues that the usual attempts to see principles of abstraction as forms of stipulative definition have been largely unsuccessful but there may be other, more promising, ways of vindicating the various forms of. contextual definition. The Limits of Abstraction breaks new ground both technically and philosophically, and will be essential reading for all who work on the philosophy of mathematics. -
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Price: $29.98
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Linguistics and the Formal Sciences
By: Tomalin, Marcus; Anderson, S. R.; Bresnan, J.; Comrie, B.; Dressler, W.; Ewen, C. J.; Huddleston, R.
Published by: Cambridge University Press
An insightful overview of how syntactic theory was influenced by developments in the formal sciences during the twentieth century. Discusses their implications for the work of linguists at that time, outlines their consequences for current syntactic theory, and provides a groundbreaking reassessment of Chomsky's early work in Generative Grammar.
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Price: $80.00
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Logic from Russell to Church
By: Gabbay, Professor Dov M (ed.); Woods, John (ed.)
Published by: North Holland
Covers the first fifty years of the development of mathematical logic in the 20th century. This title focuses on the achievements of the great names of the period; Russell, Post, Godel, Tarski, Church, and the like. It is suitable for senior undergraduates, graduate students and researchers in the history of logic and various other disciplines.
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Price: $260.00
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The Logic of Concept Expansion
By: Buzaglo, Meir
Published by: Cambridge University Press
Meir Buzaglo's innovative study offers stimulating discussions of the relation of conceptual expansion to truth, meaning, reference, ontology and paradox, and analyzes the views of Kant, Wittgenstein, Godel, and others, paying especially close attention to Frege.
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Price: $52.00
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Logic, Methodology and Philosophy of Science IX
By: Prawitz, D.; Skyrms, B.; Westerståhl, D.
Published by: North Holland
This volume is the product of the Proceedings of the 9th International Congress of Logic, Methodology and Philosophy of Science and contains the text of most of the invited lectures. Divided into 15 sections, the book covers a wide range of different issues. The reader is given the opportunity to learn about the latest thinking in relevant areas other than those in which they themselves may normally specialise.
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Price: $282.00
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The Many Valued and Nonmonotonic Turn in Logic
By: Gabbay, Dov M.; Woods, John
Published by: North Holland
The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor false. On the second, or non-monotonic, approach, constraints are placed on inputs (and sometimes on outputs) of a classical consequence relation, with a view to producing a notion of consequence that serves in a more realistic way the requirements of real-life inference. Many-valued logics produce an interesting problem. Non-bivalent inputs produce classically valid consequence statements, for any choice of outputs. A major task of many-valued logics of all stripes is to fashion an appropriately non-classical relation of consequence.The chief preoccupation of non-monotonic (and default) logicians is how to constrain inputs and outputs of the consequence relation. In what is called left non-monotonicity, it is forbidden to add new sentences to the inputs of true consequence-statements. The restriction takes notice of the fact that new information will sometimes override an antecedently (and reasonably) derived consequence. In what is called right non-monotonicity, limitations are imposed on outputs of the consequence relation. Most notably, perhaps, is the requirement that the rule of or-introduction not be given free sway on outputs. Also prominent is the effort of paraconsistent logicians, both preservationist and dialetheic, to limit the outputs of inconsistent inputs, which in classical contexts are wholly unconstrained.In some instances, our two themes coincide. Dialetheic logics are a case in poin
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Price: $225.00
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Mathematical Discourse
By: O'Halloran, Kay
Published by: Continuum
This book examines mathematical discourse from the perspective of Michael Halliday's social semiotic theory. In this approach, mathematics is conceptualized as a multisemiotic discourse involving language, visual images and symbolism. . The book discusses the evolution of the semiotics of mathematical discourse, and then, proceeds to examine the grammar of mathematical symbolism, the grammar of mathematical visual images, intersemiosis between language, visual images and symbolism and the subsequent ways in which mathematics orders reality. The focus of this investigation is written mathematical texts. The aims of the book are to understand the semantic realm of mathematics and to appreciate the metaphorical expansions and simultaneous limitations of meaning in mathematical discourse. The book is intended for linguists, semioticians, social scientists and those interested in mathematics and science education. In addition, the close study of the multisemiotic mature of mathematics has implications for other studies adopting a social semiotic approach to multimodality.
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Price: $130.00
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Mathematical Events of the Twentieth Century
By: Bolibruch, A.A. (ed.); Osipov, Yu.S. (ed.); Sinai, Ya.G. (ed.)
Published by: Springer
During the 20th century, Russia and the Soviet Union were world leaders in mathematics. This collection of essays celebrates outstanding events and people in the development of twentieth century mathematics, representing a variety of specialties in which Russian and Soviet mathematicians played a considerable role.
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Price: $149.00
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RESULTS: 51 to 60 of 100
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