A Logico-Linguistic Inquiry into the Foundations of Physics: Part 1

@article{Majhi2021ALI,
  title={A Logico-Linguistic Inquiry into the Foundations of Physics: Part 1},
  author={Abhishek Majhi},
  journal={Axiomathes},
  year={2021}
}
  • A. Majhi
  • Published 3 September 2021
  • Physics
  • Axiomathes
Physical dimensions like “mass”, “length”, “charge”, represented by the symbols [M ], [L], [Q], are not numbers, but used as numbers to perform dimensional analysis in particular, and to write the equations of physics in general, by the physicist. The law of excluded middle falls short of explaining the contradictory meanings of the same symbols. The statements like “m → 0”, “r → 0”, “q → 0”, used by the physicist, are inconsistent on dimensional grounds because “m”, “r”, “q” represent… 

Figures from this paper

Cauchy’s logico-linguistic slip and the “Heisenberg” uncertainty principle
The laws of motion and therefore, classical mechanics[1], are founded on elementary calculus which begins with the definition of “derivative”. Such literature is so well established today that
Logic, Philosophy and Physics: A Critical Commentary on the Dilemma of Categories
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

References

SHOWING 1-10 OF 130 REFERENCES
The Logic of Modern Physics
THE author of the latest discussion of the foundations of physics, Prof. P. W. Bridgman, of Harvard University, is a highly distinguished experimenter in a branch of physics with a peculiarly
Science and Hypothesis
RECENT speculations in mathematical physics, and acquiescence in treatment in terms of unimaginable abstractions, have raised a general question about the use of hypothesis as a means of coordinating
Principia Mathematica
THIS work contains some thousands of propositions, each, with its proof, expressed in a shorthand so concise that if they were all expanded into ordinary language, the room taken up would be ten
Essays on the Theory of Numbers I Continuity and Irrational Numbers II The Nature and Meaning of Numbers
  • M.
  • Nature
  • 1901
IN the first of these tracts Prof. Dedekind gives a theory of irrational numbers and of the arithmetical continuum which is logically perfect, and in form, perhaps, more simple and direct than any
The theory of everything : the origin and fate of the universe
With a title inspired as much by Douglas Adams Hitchhiker series as Einstein, The Theory of Everything delivers almost as much as it promises. Transcribed from Stephen Hawkings Cambridge Lectures,
Non-Standard Analysis
1. As early as 1934 it was pointed out by Thoralf Skolem (see [17]) that there exist proper extensions of the natural number system which have, in some sense, ‘the same properties’ as the natural
The Metaphysics of Quantities
This book articulates and defends a new and original answer to two questions: What are physical quantities and what makes them quantitative? This novel position—substantival structuralism—says that
The Road to Reality : A Complete Guide to the Laws of the Universe
For the title of his latest epic, The Road to Reality , Roger Penrose has selected a metaphor that appears frequently in popular expositions of physics. It is no wonder that the phrase has become a
Logic
1882 | Introductory Lecture on the Study of Logic | W 4:378 “Dyalectica,” says the logical text-book of the middle ages, “est ars artium et scientia scientiarum, ad omnium aliarum scientiarum
The Metaphysics of the Calculus
Publisher Summary This chapter describes and analyzes the interplay of philosophical and technical ideas during several significant phases in the development of the calculus. The background of
...
1
2
3
4
5
...