Cauchy's Calcul Infinitésimal

@inproceedings{Cates2019CauchysCI,
  title={Cauchy's Calcul Infinit{\'e}simal},
  author={Dennis Cates},
  year={2019}
}
  • D. Cates
  • Published 4 April 2019
  • Mathematics

Contradictions, Mathematical Science and Incompleteness

Do you believe that science is based on contradictions? Let me consider the common experience of seeing a dot of the pencil on a paper. If I call the dot ``zero length dimension'' or ``zero

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

Induced aseismic slip and the onset of seismicity in displaced faults

Abstract We address aseismic fault slip and the onset of seismicity resulting from depletion-induced or injection-induced stresses in reservoirs with pre-existing vertical or inclined faults.

Cauchy’s Logico-Linguistic Slip, the Heisenberg Uncertainty Principle and a Semantic Dilemma Concerning “Quantum Gravity”

  • A. Majhi
  • Physics
    International Journal of Theoretical Physics
  • 2022
The importance of language in physics has gained emphasis in recent times, on the one hand through Hilbert’s views that concern formalism and intuition applied for outer inquiry, and on the other

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 show-case how a general change in attitude

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

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

A two-track tour of Cauchy's Cours

Cauchy published his Cours d’Analyse 200 years ago. We analyze Cauchy’s take on the concepts of rigor, continuity, and limit, and explore a pair of approaches in the literature to the meaning of his