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Friday, July 10, 2020 | History

6 edition of Frege on definitions found in the catalog.

Frege on definitions

John F. Horty

Frege on definitions

a case study of semantic content

by John F. Horty

  • 35 Want to read
  • 8 Currently reading

Published by Oxford University Press in Oxford, New York .
Written in English

    Subjects:
  • Frege, Gottlob, -- 1848-1925,
  • Semantics

  • Edition Notes

    StatementJohn Horty.
    Classifications
    LC ClassificationsB3245.F24 H67 2007
    The Physical Object
    Paginationp. cm.
    ID Numbers
    Open LibraryOL17178090M
    ISBN 109780195314410
    LC Control Number2007008578

      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. developing quite a number of aspects of Frege’s theories beyond what Frege himself tells us. Given the questions to be answered, and the nature of Frege’s overall philosophy, these concerns naturally evolved to take on the form of thinking about how Frege would have developed a system of intensional logic for the theory of Sinn and Size: 3MB.

    Gottlob Frege, (born November 8, , Wismar, Mecklenburg-Schwerin—died J , Bad Kleinen, Germany), German mathematician and logician, who founded modern mathematical g on the borderline between philosophy and mathematics—viz., in the philosophy of mathematics and mathematical logic (in which no intellectual precedents existed)—Frege discovered, . Here is a paper dealing with Frege on the concept of object and the connection to sharp definition. His definition of infinitesimal is an orienting case study. The paper draws on his discussion of Riemann's definition of the Riemann integral, which Frege puts forward as a model correct definition.

    This chapter states that it is difficult to reconcile the weak interpretation of the fruitfulness requirement with Frege's requirement of eliminability. In addition, the chapter provides that there is still a tension between these two requirements because once the idea of fruitfulness is taken into account, Frege cannot maintain both his requirement of eliminability and the correlation he. Had it not already been clear to anyone following Richard Heck's work that he is one of the foremost Frege scholars of our time, it would have become hard to deny after the publication of his second book on Frege, only a year after his celebrated Frege's Theorem (Oxford: Oxford University Press, ).There is equal cause for celebration regarding Reading Frege's Grundgesetze.


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Frege on definitions by John F. Horty Download PDF EPUB FB2

The book begins by focusing on the psychological constraints governing Frege's notion of sense, or meaning, and argues that, given these constraints, even the treatment of simple stipulative definitions led Frege to important difficulties.4/5(1).

The book begins by focusing on the psychological constraints governing Frege's notion of sense, or meaning, and argues that, given these constraints, even the treatment of simple stipulative definitions led Frege to important difficulties.

This book suggests ways out of these difficulties that are both philosophically and logically plausible and Fregean in : John Horty.

The book begins by focusing on the psychological constraints governing Frege's notion of sense, or meaning, and argues that, given these constraints, even the treatment of simple stipulative definitions led Frege to important difficulties. In this short monograph, John Horty explores the difficulties presented for Gottlob Frege's semantic theory, as well as its modern descendents, by the treatment of defined expressions.

With its combination of technical semantics and history of philosophy, Horty's book tackles some of the hardest questions in the Frege on definitions book of language. Yet, especially in late writings, Frege characterizes definitions as arbitrary stipulations of the senses or references of expressions unrelated to pre-definitional : Sanford Shieh.

Yet, especially in late writings, Frege characterizes definitions as arbitrary stipulations of the senses or references of expressions unrelated to pre-definitional understanding. I conclude by examining some options for conceiving of the status of Frege's logicism in light of this apparent tension, and outline a suggestion for a philosophically fruitful way of resolving this : Sanford Shieh.

“Dummett’s book is not just a book about Frege: it is an important contribution to all the topics on which Frege wrote, and an invaluable commentary on the work of many contemporary philosophical logicians.”Cited by: Frege on definitions [electronic resource]: a case study of semantic content / John Horty.

Main author: Horty, John Francis. Corporate Author: Ebook Central Academic Complete., ProQuest (Firm) Format: eBook Online access: Connect to electronic book via Ebook Central. The book begins by focusing on the psychological constraints governing Frege's notion of sense, or meaning, and argues that, given these constraints, even the treatment of simple stipulative.

II.-ON CONCEPT AND OBJECT BY GOTTLOB FREGE (First published in the Vierteljahrsschrift fi4r wissenschaftliche Philosophie, 16 (): ) Translation by P.

GEACH. (Revised by MAX BLACK.) ] In a series of articles in this Quarterly on intuition and its. Gottlob Frege has exerted an enormous influence on the evolution of twentieth-century philosophy, yet the real significance of that influence is still very much a matter of debate.

This book provides a completely new and systematic account of Frege's philosophy by focusing on its cornerstone: the theory of sense and reference. This study represents a major reassessment of a seminal figure in.

Frege on definitions: a case study of semantic content. [John Francis Horty] -- "In this book, John Horty explores the difficulties presented for Frege's semantic theory, as well as its modern descendents, by the treatment of defined expressions.".

Frege on definitions: a case study of semantic content. [John Francis Horty] -- In this short monograph, John Horty explores the difficulties presented for Gottlob Frege's semantic theory, as well as its modern descendents, by the treatment of defined expressions.

Gottlob Frege () is considered the father of modern logic and one of the founding figures of analytic philosophy. He was first and foremost a mathematician, but his major works also made important contributions to the philosophy of language.

Gottlob Frege (gôt´lōp frā´gə), –, German philosopher and was professor of mathematics (–) at the Univ. of Jena. Frege was one of the founders of modern symbolic logic, and his work profoundly influenced Bertrand claimed that all mathematics could be derived from purely logical principles and definitions.

Frege’s definition of the concept natural number can now be stated in terms of the weak-ancestral of Predecessor: x is a natural number if and only if \(x\) is a member of the predecessor-series beginning with 0.

This definition appears in Gl, §83, and Gg I, §46 as the definition of ‘finite number’. Indeed, the natural numbers are precisely the finite cardinals. Libro Frege on Definitions: A Case Study of Semantic Content (libro en Inglés), John Horty, ISBN Comprar en Buscalibre - ver opiniones y comentarios.

Compra y venta de libros importados, novedades y bestsellers en tu librería Online Buscalibre Chile y Buscalibros.

Compra Libros SIN IVA en Buscalibre. 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. The title of John Horty's book Frege on Definitions is misleading, as the book does not deal historically or systematically with Frege's theory of definition in general, but starts off from a specific prima facie puzzle about Frege's account of definitions and develops a theory of semantic content in the spirit of one understanding of Fregean.

More importantly, however, Frege was the first to claim that a properly formed definition had to have two important metatheoretical properties. Philosophy of MathematicsLondon: Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

2. The task that Frege posed for himself in B egriffsschrift he sets out in the sub-title of the book; it is to pr esent “a formula language, modeled upon that of arithmetic.” The notation that Frege develops in B egriff-sschrift, his “conceptual notation,” carried through this project as a for-File Size: KB.Frege and Peano started in a debate where they contrasted the respective conceptions on the theory and practice of mathematical definitions.

Which was (if any) the influence of the Frege-Peano debate on the conceptions by the two authors on the theme of defining in mathematics and which was the role played by this debate in the broader Author: Edoardo Rivello.Libro Frege on Definitions: A Case Study of Semantic Content (libro en Inglés), John Horty, ISBN Comprar en Buscalibre - ver opiniones y comentarios.

Compra y venta de libros importados, novedades y bestsellers en tu librería Online Buscalibre Internacional y Buscalibros.