Question

Do neologicists, in their attempts to address foundational issues in mathematics, prioritize historical plausibility akin to Frege's approach, and has any effort been made to establish a historically plausible account for real numbers that considers representations such as sequences, ordered sets, Dedekind cuts, Cauchy sequences, and surreal numbers within the evolving understanding of real numbers throughout history?

Answer 1

Neologicists do not prioritize historical plausibility in their attempts to address foundational issues in mathematics. However, efforts have been made to establish historically plausible accounts for real numbers.

Step-by-step explanation:

Neologicists, in their attempts to address foundational issues in mathematics, do not necessarily prioritize historical plausibility akin to Frege's approach. They focus more on providing a rigorous and logical framework for mathematics. However, there have been efforts to establish historically plausible accounts for real numbers that consider representations such as sequences, ordered sets, Dedekind cuts, Cauchy sequences, and surreal numbers within the evolving understanding of real numbers throughout history.