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Did G‑d Create Mathematics?

By Alexander Poltorak "G‑d is a mathematician"Carl Friedrich Gauss I. Can We Prove that G-d created Axioms of mathematics? 1. Introduction A reader challenged me with a question, “Could you prove G-d created basic propositions (axioms) of mathematics?” It is a profound question that merits a more detailed answer. There is no universally accepted “proof” in the mathematical sense that G‑d authored the axioms (or “basic propositions”) of mathematics. The question of whether G‑d is the ground—that is, the metaphysical foundation—or source of mathematical truths is a longstanding philosophical and theological debate. Here are a few perspectives on this issue, along with reasons why no formal, universally agreed-upon proof exists. 2. What Would a “Proof” Even Look Like? i. Nature of Mathematical Proof In mathematics, proofs demonstrate that a conclusion follows logically from a set of axioms. [...]

On the Nature of Time and the Age of the Universe

Presented at the International Torah and Science Conference in Miami International University on December 18, 2005 Alexander Poltorak   Introduction. This is the third in a series of articles, in which I attempt to sketch various approaches to reconciling a cosmological age of the universe currently estimated at 13.75 billion years with the Jewish tradition setting this age at less than six thousand years (5770 as of the day of this writing, to be exact). The first article [1] tackled this problem from the point of view of Copenhagen interpretation of quantum mechanics suggesting that there were two distinct forms of existence—physical and proto-physical—and that the first conscious observers, Adam and Eve, collapsed the universal wavefunction, bringing the world from amorphous proto-physical existence into tangible physical existence.  This approach leads to two distinct [...]

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