Two Essays on the Archimedean versus Non-Archimedean Debate
نویسنده
چکیده
For more than two millennia, ever since Euclid’s geometry, the so called Archimedean Axiom has been accepted without sufficiently explicit awareness of that fact. The effect has been a severe restriction of our views of space-time, a restriction which above all affects Physics. Here it is argued that, ever since the invention of Calculus by Newton, we may actually have empirical evidence that time, and thus space as well, are not Archimedean. 1. A Brief Review of the Axioms of Euclidean Geometry Ever since the discoveries of non-Euclidean geometries by Lobachevski and Bolyai in the early 1800s, the axioms of Euclidean geometry have been divided in two : on one hand, one has the Axiom of Parallels, while the rest of the axioms constitutes what is called Absolute Ge-
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