Theory of Forms

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Did G‑d Create Mathematics?

"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. Axioms themselves are [...]

Quantum Cheshire Cat vs. Venomous Snakes

A Study in Form and Matter And Moses prayed for the people.  And the Eternal said unto Moses: “Make thee a fiery serpent, and set it upon a pole; and it shall come to pass, that every one that is bitten, when he seeth it, shall live.” And Moses made a serpent of brass, and set it upon the pole; and it came to pass, that if a serpent had bitten any man, when he looked unto the serpent of brass, he lived. (Numbers 21:8-9)   The Torah portion, Chukat, tells a bizarre story. Jews complain against G‑d and Moses. G‑d gets angry and sends venomous snakes that bite and kill many Jews. The people repent and ask Moses to pray for them. In response to Moses’s prayer, G‑d instructs him to make a [...]

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