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The importance of language in physics has gained emphasis in recent times, onthe one hand through Hilbert's views that concern formalism and intuitionapplied for outer inquiry, and on the other hand through Brouwer's point ofview that concerns intuition applied for inner inquiry or, as I call,self-inquiry. It is to demonstrate the essence of such investigations,especially self-inquiry (inward intuition), I find it compelling to report thata careful analysis of Cauchy's statements for the definition of derivative, asapplied in physics, unveils the connection to the Heisenberg uncertaintyprinciple as a condition for the failure of classical mechanics. Suchlogico-linguistic, or semantically driven, self-inquiry of physics can providenew insights to physicists in the pursuit of truth and reality, for example, inthe context of Schroedinger equation. I point out an explicit dilemma thatplagues the semantics of physics, as far as general relativity and quantummechanics are concerned, which needs to be taken into account during anyattempt to pen down a theory of "quantum gravity".

Cauchy's Logico-Linguistic Slip, the Heisenberg Uncertainty Principle and a Semantic Dilemma Concerning "Quantum Gravity"