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Intellectual History Commons

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Full-Text Articles in Intellectual History

Unknowable Truths: The Incompleteness Theorems And The Rise Of Modernism, Caroline Tvardy Apr 2022

Unknowable Truths: The Incompleteness Theorems And The Rise Of Modernism, Caroline Tvardy

Honors Scholars Collaborative Projects

This thesis evaluates the function of the current history of mathematics methodologies and explores ways in which historiographical methodologies could be successfully implemented in the field. Traditional approaches to the history of mathematics often lack either an accurate portrayal of the social and cultural influences of the time, or they lack an effective usage of mathematics discussed. This paper applies a holistic methodology in a case study of Kurt Gödel’s influential work in logic during the Interwar period and the parallel rise of intellectual modernism. In doing so, the proofs for Gödel’s Completeness and Incompleteness theorems will be discussed as …


Gottfried W. Leibnez, Brittany Ratliff Jan 2017

Gottfried W. Leibnez, Brittany Ratliff

Mathematics Class Publications

Gottfried W. Leibniz was a philosopher and mathematician who lived in Germany from 1646 to 1716. He first gained a bachelor's degree in philosophy, then later earned one in law. As his life went on, he made many contributions to the mathematical world. From discovering differential and integral calculus to creating the binary system of arithmetic, Leibniz changed today's world. He worked also with physics, dynamics, and attempted to create a calculating machine. While making these discoveries, he had the privilege of working with many different scholars and mathematicians, namely Weigel, Boineburg, and Huygens. With the help and guidance of …