"The Foundations of Arithmetic"

Paper Summary:

This paper explains how Frege's book is an influential and valuable insight into the philosophy of mathematics. It shows how Frege delves deeply into, not only an understanding of numbers, but also looks into much larger questions surrounding meaning and truth. Frege argues against the idea that arithmetic is based on psychology and, instead, notes that logic is the main underpinning of arithmetic.

From the Paper:

"Friedrich Ludwig Gottlob Frege was born in Germany in 1848. He got his doctoral degree in Gottingen, and quickly wrote his post-doctoral thesis, and became a university professor. During his long and fruitful academic career, the tireless Frege worked extensively to build up the philosophical foundations of mathematics and science. Among his important contributions is the invention of an artificial language called Begriffsschrift, which was based on logical notation (Frege Biography). Frege wrote extensively, publishing a number of other influential papers during his lengthy career, including Grundgesetze der Arithmetik, Volume I (1893), Logic (1897), Sources of Knowledge of Mathematics and the Mathematical Natural Sciences (1924/5), A Brief Survey of my Logical Doctrines (1906), and Thought (1918) (Frege Biography)."

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