Posts

Showing posts from August, 2025

The Opticon

Whereas, previously, I tried to make sense of the surreal numbers, after a little more study, I've come to a more reasonable understanding of the subject. My knowledge on it is not yet complete, though. Let's imagine the Real Line of numbers. It extends from zero in some direction, and in the direction opposite to it. Around the origin, there's what some mathematicians like to rightly call the Infinitesimal Monad. Since the Opticon is a scale-construct, it follows the Law of Continuity, by Leibniz: "the rules of the finite are found to succeed in the infinite." Therefore, there's an operational limit over the infinitesimal quantities. This means infinitesimal quantities are incomparable to real quantities up to exponentiation. Similarly, there's an operational limit to the Reals. Namely, infinity, ω_1, the first uncountable ordinal, the limit ordinal of the Reals. Now, in the Reals, the first limit ordinal greater than all infinitesimal quantities is, by n...