inscitia on Nostr: Excerpt: Altogether, with the category-theoretic notions of (co)limits, we are given ...
Excerpt:
Altogether, with the category-theoretic notions of (co)limits, we are given a more precise way of thinking about universality as a form of mediation—an optimal mediation. With the category-theoretic notion of (co)continuous functors, built out of the material of such universal constructions, we are given a more precise way of thinking about continuity in terms of a process or transformation that preserves the special role played by those optimal mediators or gatekeepers.
Altogether, with the category-theoretic notions of (co)limits, we are given a more precise way of thinking about universality as a form of mediation—an optimal mediation. With the category-theoretic notion of (co)continuous functors, built out of the material of such universal constructions, we are given a more precise way of thinking about continuity in terms of a process or transformation that preserves the special role played by those optimal mediators or gatekeepers.