Goodreads helps you keep track of books you want to read.

Start by marking “The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number” as Want to Read:

# 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 influe ...more

Paperback, 144 pages

Published
December 1st 1980
by Northwestern University Press
(first published 1884)

## Friend Reviews

To see what your friends thought of this book,
please sign up.

## Reader Q&A

To ask other readers questions about
The Foundations of Arithmetic,
please sign up.

### Recent Questions

This book is not yet featured on Listopia.
Add this book to your favorite list »

## Community Reviews

(showing 1-30 of 1,406)

Jun 02, 2011
Josie
added it

I have no recollection of having read this book but I have it on good authority that I did.

الكتاب يقع في حوالي 119 صفحة

وهو لـ"جوتلوب فريجه" وهو فيلسوف ورياضي

وهذا الكتاب يعد له تأثير كبير في الفلسفة الحديثة والرياضيات والمنطق

وعلى وجه الخصوص الفلسفة التحليلية

والكتاب فيه رد على "كانط" الفيلسوف الألماني صاحب "نقد العقل المحض" الذي جعل

علم الحساب

كـ1+1=2 من "القضايا التركيبية القبلية" أي ما قبل التجربة

فيثبت "فريجه" في كتابه بأنها من "القضايا التحليلية القبلية" وهي أحد الردود الأخرى على "كانط" في نظريته للمعرفة

والكتاب يعرض عدة مواضيع

مجموعة الأعداد الطبيعية

والأعداد اللامتناهية

وغيرها

-Scharfe Trennung von Psychologischem und Logischem.

-Scharfe Trennung von Subjektivem und Objektivem.

-Die Bedeutung der Wörter ist im Satzzusammenhang zu erfragen.

-Der Unterschied zwischen Begriff und Gegenstand ist wichtig.

In diesem Buch unterscheidet Frege die Wahrheiten in analytische und synthetische und ferner in a priori und a posteriori Wahrheiten.

Was ist ein leerer Begriff?

Bejahung der Existenz als Verneinung der Nullzahl!

Eige ...more

Oct 17, 2014
Dr. A
rated it
really liked it
·
review of another edition

Shelves:
the-history-of-philosophy-curated

---

---

Discovered and popularized posthumously by Bertrand Russell (see Russell and Alfred North Whitehead'’s

Frege examines the philosophical foundat ...more

*Read this and reviews of other classics in Western Philosophy on the History page of www.BestPhilosophyBooks.org (a thinkPhilosophy*Production).---

Discovered and popularized posthumously by Bertrand Russell (see Russell and Alfred North Whitehead'’s

*Principia Mathematica*), Ludwig Wittgenstein, and others, Gottlob Frege is now known as the father of modern logic and of analytic philosophy, and*The Foundations of Arithmetic*is his most important work.Frege examines the philosophical foundat ...more

Feb 03, 2016
Diogo
added it

A very short, very concise, very dense attempt by Frege to address the business of logically deriving the primitive concepts of Peano. Not an inviting writing. I somewhat feel I'm not yet qualified to rate this work. It is nevertheless very entertaining & instructive to read him addressing the theories of others. Perhaps worthy of the hardship of braving through to the last page.

A good entrance to mathematical philosophy with way too many brain orgasms for one book.

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 ...more

If you like mathematics, the theory of numbers and topics akin to the like (e.g. logic), then check out the book. If not,

then ignore the mundane review Frege gives to the concept of numbers.

*This review has been hidden because it contains spoilers. To view it, click here.*

There are no discussion topics on this book yet.
Be the first to start one »

Friedrich Ludwig Gottlob Frege (German: [ˈɡɔtloːp ˈfreːɡə]) was a German mathematician, logician and philosopher. He is considered to be one of the founders of modern logic and made major contributions to the foundations of mathematics. He is generally considered to be the father of analytic philosophy, for his writings on the philosophy of language and mathematics. While he was mainly ignored by
...more

More about Gottlob Frege...
## Share This Book

No trivia or quizzes yet. Add some now »