QUANTUM field theory, QUANTUM electrodynamics, MATHEMATICS
Abstract
In this paper, I attempt to describe Mark Burgin's results in non-Diophantine mathematics, which are important for the foundation of mathematics and its application in quantum field theory. In particular, the elimination of divergences in quantum electrodynamics is described. [ABSTRACT FROM AUTHOR]
Stam, Jan, Stokhof, Martin, and Van Lambalgen, Michiel
Subjects
MENTAL work, MATHEMATICS
Abstract
There is a noticeable gap between results of cognitive neuroscientific research into basic mathematical abilities and philosophical and empirical investigations of mathematics as a distinct intellectual activity. The paper explores the relevance of a Wittgensteinian framework for dealing with this discrepancy. [ABSTRACT FROM AUTHOR]
Jan Stam, Martin Stokhof, Michiel Van Lambalgen, and ILLC (FGw)
Subjects
Philosophy, History and Philosophy of Science, neuroscience, mathematics, Wittgenstein, naturalism
Abstract
There is a noticeable gap between results of cognitive neuroscientific research into basic mathematical abilities and philosophical and empirical investigations of mathematics as a distinct intellectual activity. The paper explores the relevance of a Wittgensteinian framework for dealing with this discrepancy.
Published
2022
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