Logic, Philosophy and Physics: a critical commentary on the dilemma of categories

TL;DR

This paper critically examines the relationship between logic, philosophy, and physics, advocating for a change in attitude that fosters interdisciplinary understanding and reveals deep connections like those between Heisenberg's uncertainty and Cauchy's derivative.

Contribution

It proposes a new perspective on interdisciplinary dialogue, emphasizing self-inquiry and language improvement to enhance scientific understanding and uncover hidden mathematical-physical links.

Findings

Unveiled connection between Heisenberg uncertainty and Cauchy's derivative.

Highlighted the importance of language refinement in physics and philosophy.

Suggested that self-inquiry can bridge disciplinary gaps.

Abstract

I provide a critical commentary regarding the attitude of the logician and the philosopher towards the physicist and physics. The commentary is intended to showcase how a general change in attitude towards making scientific inquiries can be beneficial for science as a whole. However, such a change can come at the cost of looking beyond the categories of the disciplines of logic, philosophy and physics. It is through self-inquiry that such a change is possible, along with the realization of the essence of the middle that is otherwise excluded by choice. The logician, who generally holds a reverential attitude towards the physicist, can then actively contribute to the betterment of physics by improving the language through which the physicist expresses his experience. The philosopher, who otherwise chooses to follow the advancement of physics and gets stuck in the trap of sophistication of language, can then be of guidance to the physicist on intellectual grounds by having the physicist's experience himself. In course of this commentary, I provide a glimpse of how a truthful conversion of verbal statements to physico-mathematical expressions unravels the hitherto unrealized connection between Heisenberg uncertainty relation and Cauchy's definition of derivative that is used in physics. The commentary can be an essential reading if the reader is willing to look beyond the categories of logic, philosophy and physics by being `nobody'.