Die Grundlagen Der Arithmetikeine Logische Mathematische Untersuchung Über Den Begriff Der Zahl

A philosophical treatise that explores the concept of number, written in the late 19th century. The work delves into the nature of arithmetic truths, aiming to establish a rigorous foundation for arithmetic through logical analysis. Frege questions widely accepted views on numbers, aiming to clarify their definitions and the principles underlying arithmetic operations. The opening of this work introduces the philosophical and methodological motivation behind Frege's inquiry into the nature of numbers. He critiques common definitions and perspectives about numbers, emphasizing that many mathematicians and philosophers lack a clear understanding of what a number truly is. Frege declares his intent to rigorously investigate the concept of number, as it serves as a fundamental building block for the entire structure of arithmetic. He discusses the shifts in mathematical thinking towards greater rigor and the importance of clarity in definitions, setting the stage for a deeper exploration of numerical concepts throughout the text.