Books Online The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number Download Free

List Regarding Books The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number

Title	:	The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number
Author	:	Gottlob Frege
Book Format	:	Paperback
Book Edition	:	Special Edition
Pages	:	Pages: 144 pages
Published	:	December 1st 1980 by Northwestern University Press (first published 1884)
Categories	:	Philosophy. Science. Mathematics. Logic. Nonfiction

The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number

Gottlob Frege

Paperback | Pages: 144 pages

Rating: 4.19 | 800 Users | 38 Reviews

Representaion Supposing Books The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number

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. It profoundly influenced developments in the philosophy of mathematics and in general ontology.

Present Books Conducive To The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number

Original Title:	Die Grundlagen der Arithmetik: Eine logisch-mathematische Untersuchung über den Begriff der Zahl
ISBN:	0810106051 (ISBN13: 9780810106055)
Edition Language:	English

Rating Regarding Books The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number

Ratings: 4.19 From 800 Users | 38 Reviews

Assess Regarding Books The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number

Agonistic philosophy is rare enough after the Greeks. Frege's bashing of J.S. Mill ranks right up there with Schopenhauer's sarcastic hostility toward Fichte and Hegel, and Nietzsche making fun of everyone (but especially Kant).

Seminal work in the historical development of the logical foundations of mathematics. Frege has a very beautiful logical framework which is described and defended, only to be later dismantled by Russell.

The title is not misleading. This dives *extremely* deep into the foundations of arithmetic. Frege revisits a concept as simple as "Number", but this quickly escalates to something extremely hard to formally define. Throughout his set of axioms, he explores multiple angles and highlight the fallacious reasonings.

Yeah, yeah, his theory of numbers doesn't really make any sense. But, whatever. You try to define a number.

This was a fun read. Unfortunately, Frege does some hand-waving throughout the book. He is attempting to show that arithmetic is an extension of logic. Critical to his argument is the definition of number as a concept expresssable by second-order classical logic. In showing his definition of number is in fact correct, he isolates number away from the realm of psychology. There are some minor points throughout the text in which he relies on the reader's intuition and some popular beliefs to 'wave

Not qualified to give a book review.