In mathematics, a direct limit (also called inductive limit) is a colimit of a "directed family of objects". We will first give the definition for algebraic structures like groups and modules, and then the general definition which can be used in any category.
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“Long as I have lived, and many blasphemers as I have heard and seen, I have never yet heard or witnessed any direct and conscious blasphemy or irreverence; but of indirect and habitual, enough. Where is the man who is guilty of direct and personal insolence to Him that made him?”
—Henry David Thoreau (1817–1862)
“Moreover, the universe as a whole is infinite, for whatever is limited has an outermost edge to limit it, and such an edge is defined by something beyond. Since the universe has no edge, it has no limit; and since it lacks a limit, it is infinite and unbounded. Moreover, the universe is infinite both in the number of its atoms and in the extent of its void.”
—Epicurus (c. 341–271 B.C.)