History of Mathematical Logic from Leibniz to Peano

History of Mathematical Logic from Leibniz to Peano
Title History of Mathematical Logic from Leibniz to Peano PDF eBook
Author
Publisher
Pages 333
Release 1969
Genre
ISBN

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From Frege to Gödel

From Frege to Gödel
Title From Frege to Gödel PDF eBook
Author Jean van Heijenoort
Publisher Harvard University Press
Pages 684
Release 1967
Genre Mathematics
ISBN 9780674324497

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Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege’s Begriffsschrift—which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory—begins the volume, which concludes with papers by Herbrand and by Gödel.

Principia Mathematica

Principia Mathematica
Title Principia Mathematica PDF eBook
Author Alfred North Whitehead
Publisher
Pages 688
Release 1910
Genre Logic, Symbolic and mathematical
ISBN

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Mathematical Thought From Ancient to Modern Times

Mathematical Thought From Ancient to Modern Times
Title Mathematical Thought From Ancient to Modern Times PDF eBook
Author Morris Kline
Publisher OUP USA
Pages 452
Release 1990-03
Genre Mathematics
ISBN 9780195061376

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Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.

Giuseppe Peano between Mathematics and Logic

Giuseppe Peano between Mathematics and Logic
Title Giuseppe Peano between Mathematics and Logic PDF eBook
Author Fulvia Skof
Publisher Springer Science & Business Media
Pages 198
Release 2011-04-30
Genre Mathematics
ISBN 8847018366

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This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, a great attempt to systematise Mathematics in symbolic form.

Writing the History of Mathematics: Its Historical Development

Writing the History of Mathematics: Its Historical Development
Title Writing the History of Mathematics: Its Historical Development PDF eBook
Author Joseph W. Dauben
Publisher Springer Science & Business Media
Pages 776
Release 2002-09-23
Genre Mathematics
ISBN 9783764361679

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As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.

Extensionalism: The Revolution in Logic

Extensionalism: The Revolution in Logic
Title Extensionalism: The Revolution in Logic PDF eBook
Author Nimrod Bar-Am
Publisher Springer Science & Business Media
Pages 172
Release 2008-04-03
Genre Philosophy
ISBN 1402081685

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a single life-span. Philosophers, then, do not see more or know more, and they do not see less or know less. They aim to see less detail and more of the abstract. Their details, if you like, are abstractions. Walking on God’s earth as a pedestrian, as a farmer working his fields or as a passer-by, one’s picture of one’s surroundings is every bit as intelligent as that of the pilot riding the sky. The views of the field are radically different, however. One sees only a specific field and in all lively detail: the exact pattern of the land, or even the exact outline of a given leaf, grasshopper, grain of sand even. Acquaintance with minute detail is not without its price: details may stand in the way of conjuring the big picture. It may be difficult to compare whichever field one happens to be in with far off fields, with respect to their size or shape or any other quality. One may wish to inquire if far off fields were already planted, harvested, or even if they exist. A pedestrian may find it hard or even impossible to do so. The pedestrian view contains fine points that the pilot’s map never would, but it does not necessarily contain more information, for it lacks the general context. After all, there are only so many items that one can observe and account for at a single glance, a single map, a single book, a single life-span.