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Gottlob Frege: Basic Laws of Arithmetic

by Gottlob Frege, Philip A. Ebert

Mathematics / Arithmetic Mathematics / History & Philosophy Philosophy / General ✓ Preview Available ⚠ Free PDF: Unavailable

Publisher: OUP Oxford Year: 2013 Pages: 688 Language: EN

About this book

The German philosopher and mathematician Gottlob Frege (1848-1925) was the father of analytic philosophy and to all intents and purposes the inventor of modern logic. Basic Laws of Arithmetic, originally published in German in two volumes (1893, 1903), is Freges magnum opus. It was to be the pinnacle of Freges lifes work. It represents the final stage of his logicist project the idea that arithmetic and analysis are reducible to logic and contains his mature philosophy of mathematics and logic. The aim of Basic Laws of Arithmetic is to demonstrate the logical nature of mathematical theorems by...

30-Second Summary

Gottlob Frege's 'Basic Laws of Arithmetic' is a foundational text in the philosophy of mathematics, exploring the logical underpinnings of arithmetic. This comprehensive work argues that mathematical truths can be derived from logical axioms, marking a significant contribution to both mathematics and logic. Originally published in the late 19th century, it remains a crucial reference for understanding Frege's influence on analytic philosophy and modern logic.

Key Takeaways

Understanding Frege's logicism and its implications for mathematics.
Exploration of the relationship between logic and arithmetic.
Insights into the historical context of Frege's ideas and their impact on philosophy.
A comprehensive overview of mathematical theorems through a logical lens.

Who Should Read This Book

This book is ideal for students and scholars in mathematics, philosophy, and logic, particularly those interested in the foundations of arithmetic and the evolution of analytic philosophy. Readers seeking a deeper understanding of the logical structure behind mathematical concepts will find this work essential.

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Frequently Asked Questions

What is the main focus of 'Basic Laws of Arithmetic'?

The book primarily examines the logical foundations of arithmetic and argues that mathematical truths can be derived from logical principles.

Who was Gottlob Frege?

Gottlob Frege was a German philosopher and mathematician known as the father of analytic philosophy and a pioneer in modern logic.

Why is this book significant?

It represents a critical advancement in understanding the relationship between logic and mathematics, influencing later developments in both fields.

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