Frege, Dedekind, and the Modern Epistemology of Arithmetic

@article{Pantsar2016FregeDA,
title={Frege, Dedekind, and the Modern Epistemology of Arithmetic},
author={M. Pantsar},
journal={Acta Analytica},
year={2016},
volume={31},
pages={297-318}
}

In early analytic philosophy, one of the most central questions concerned the status of arithmetical objects. Frege argued against the popular conception that we arrive at natural numbers with a psychological process of abstraction. Instead, he wanted to show that arithmetical truths can be derived from the truths of logic, thus eliminating all psychological components. Meanwhile, Dedekind and Peano developed axiomatic systems of arithmetic. The differences between the logicist and axiomatic… Expand