Subject
Number concept Books
Best books
Levi L. (Levi Leonard) Conant
The Number Concept: Its Origin and Development
"The Number Concept: Its Origin and Development" by Levi L. Conant is a historical and scientific publication written in the late 19th century. This work delves into the origins and evolution of numerical systems across various cultures, exploring their significance in human development and communication. The likely topic of the book revolves around the concept of counting, the language of numbers, and how different societies have expressed numerical ideas. At the start of the book, Conant introduces the reader to the complex questions surrounding the origin of number systems and the ways primitive languages have approached counting. He discusses the limitations observed in various tribal languages, where concepts may only extend to basic numerals, often highlighting a disconnect in the ability to comprehend higher numbers. The opening chapters explore distinct numeral systems used by different cultures and assert that the idea of counting seems fundamental to humanity, tracing the evolution of numerical expression through both linguistic and practical methods.
Gottlob Frege
Die Grundlagen der Arithmetik Eine logische mathematische Untersuchung über den Begriff der Zahl
"Die Grundlagen der Arithmetik" by Gottlob Frege is a philosophical work published in 1884. Frege presents his logicist program, arguing that arithmetic can be reduced to pure logic. He challenges Kant's view that arithmetic consists of synthetic judgments and Mill's empirical approach, proposing instead that mathematical truths are analytic. The work critiques previous attempts to define number by philosophers like Leibniz and Schröder, before offering Frege's own definition. His approach influenced later analytical philosophy.
Recently surfaced classics