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Thursday, July 30, 2020 | History

4 edition of The foundations of arithmetic found in the catalog.

The foundations of arithmetic

Gottlob Frege

The foundations of arithmetic

a logico-mathematical enquiry into the concept of number.

by Gottlob Frege

  • 71 Want to read
  • 5 Currently reading

Published by Blackwell in Oxford .
Written in English

    Subjects:
  • Number concept.,
  • Arithmetic -- Foundations.

  • Edition Notes

    German and English.

    StatementEnglish translation by J.L. Austin.
    Classifications
    LC ClassificationsQA9 .F7514
    The Physical Object
    Paginationxii, xiie, xi, xie, 117, 119e (i.e. 117e) p.
    Number of Pages119
    ID Numbers
    Open LibraryOL6086471M
    LC Control Number51000436
    OCLC/WorldCa6213708

    Other articles where The Foundations of Arithmetic is discussed: Gottlob Frege: System of mathematical logic.: Die Grundlagen der Arithmetik (; The Foundations of Arithmetic). The Grundlagen was a work that must on any count stand as a masterpiece of philosophical writing. The only review that the book received, however, was a devastatingly hostile one by . Compare cheapest textbook prices for The Foundations of Mathematics in the Theory of Sets (Encyclopedia of Mathematics and its Applications), John P. Mayberry - Find the lowest prices on SlugBooks.

    The foundations of arithmetic a logico-mathematical enquiry into the concept of number. English translation by J.L. Austin. 2d rev. ed. by Gottlob Frege. Published by Blackwell in Oxford. Written in English. is a platform for academics to share research papers.

    London: Basil Blackwell, 1st Edition 1st Printing. Green Cloth. Near Fine/Very Good. Xii, Pp., With Page Numbers And Text Duplicated In English And German. Green Cloth, Gilt. First Edition In English With German And English Text On Facing Book Edition: 1st Edition 1st Printing. The Foundations of Arithmetic by Gottlob Frege Book Resume: The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis.


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The foundations of arithmetic by Gottlob Frege Download PDF EPUB FB2

The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number 2nd Revised Edition by Gottlob Frege (Author)Cited by: The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis.

The book represents the first philosophically sound discussion of the concept of number in Western civilization/5. Part of the Longman Library of Primary Sources in Philosophy," this edition ofFrege's" Foundations of Arithmetic" is framed by a pedagogical structure designed to make this important work of philosophy more accessible and meaningful for readers.5/5(3).

The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis.

The book represents the first philosophically sound discussion of the concept of number in Western civilization.4/5(1). The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic.

The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the /5(). The Foundations of Mathematics This book describes some basic ideas in set theory, model theory, proof theory and recursion theory, these are all parts of what is called mathematical logic.

This book offers an original contribution to the foundations of logic and mathematics and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical arithmetic, here.

The Foundations of Mathematics This book describes some basic ideas in set theory, model theory, proof theory and recursion theory, these are all parts of what is called mathematical logic.

Topics covered includes: Set Theory, Induction and Recursion on the Ordinals, Cardinal Arithmetic, Model Theory and Proof Theory, First-Order Logic Semantics, Formal Proofs. The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number Gottlob Frege J.

Austin Published by Northwestern Univ Pr (). The title of this book is “Foundations of Mathematics”, and there are a number of philosophical questions about this subject. Whether or not you are interested in the philosophy, it is a good way to tie together the various topics, so we’ll begin with that.

The Foundations of. Foundations of Arithmetic. and will be discussed in detail in the second book of the present series. Section presents historical background for the e, g, and a papers. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of.

—The Times [London] Literary Supplement HARPER & BROTHERS, NEW YORK COVER OEStGN BY LAWRENCE RATZKIN The FOUNDATIONS of ARITHMETIC A logico.

The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number | Book annotation not available for this : The Foundations of ArithmeticAuthor: Frege, Gottlob/ Austin, J. (TRN)Publisher: Northwestern Univ PrPublication Date: /06/01Number of Pages: Binding Type: PAPERBACKLibrary of Congress:   The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis.

The book represents the first philosophically sound discussion of the concept of number in Western Brand: Northwestern University Press. The foundations of arithmetic: a logico-mathematical enquiry into the concept of number Item PreviewPages: Read or Download Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals) Book by Donald Gillies.

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The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis.

The book represents the first philosophically sound discussion of the concept of number in Western civilization. particular arithmetic concepts in subsequent material, courses, and nonclassroom situations, and 4. to give the student the ability to correctly interpret arithmetically obtained results.

We have tried to meet these objectives by presenting material dynamically, much the way an instructor. The Foundations of Arithmetic Paperback – 31 Dec.

by Gottlob Frege (Author)4/5(7). The Foundations of Arithmetic is undoubtedly the best introduction to Freges thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis%().Frege’s Theorem and Foundations for Arithmetic First published Wed ; substantive revision Tue Over the course of his life, Gottlob Frege formulated two logical systems in his attempts to define basic concepts of mathematics and to derive mathematical laws from the laws of logic.