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The upside-down manufacturer’s logo that you see when your laptop is closed is simply an instance of the fact that perfect order is not possible (just as is the fact that a page bearing the text ‘This page intentionally left blank.’ is not blank).
keywords: Ramsey Theory

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The nature of a finite construct (e.g., the Cartesian product of finitely-many topological spaces) compared with that of an infinite construct (e.g., the Cartesian product of infinitely-many topological spaces) is as the nature of a a group of ships with a common purpose compared with a fleet.
keywords: life, General Systems Theory, organization, transition

Constants

Every number is a constant, but that doesn’t mean that it is referred to as a constant. The subtext in calling a certain number a constant is that it is distinguished in some way, that is, is in some special way of interest to the mathematics community.
keywords: notation, Mathematics