Tag Archives: Category Theory

Urge and urge and urge, Always the procreant urge of the world. — Walt Whitman • Leaves of Grass Example 1. A Square Rigging Returning to the universe of discourse based on a single feature suppose we are given the … Continue reading →

The clock indicates the moment . . . . but what does      eternity indicate? — Walt Whitman • Leaves of Grass A One‑Dimensional Universe (concl.) It might be thought an independent time variable needs to be brought in at this … Continue reading →

A One‑Dimensional Universe (cont.) The first order differential extension of is   If the feature is interpreted as applying to some object or state then the feature may be taken as an attribute of the same object or state which … Continue reading →

There was never any more inception than there is now, Nor any more youth or age than there is now; And will never be any more perfection than there is now, Nor any more heaven or hell than there is … Continue reading →

I would have preferred to be enveloped in words, borne way beyond all possible beginnings. — Michel Foucault • The Discourse on Language Back to the Beginning • Exemplary Universes To anchor our understanding of differential logic let’s examine how … Continue reading →

Failing to fetch me at first keep encouraged, Missing me one place search another, I stop some where waiting for you — Walt Whitman • Leaves of Grass Life on Easy Street The finite character of the extended universe makes … Continue reading →

The Extended Universe of Discourse The extended basis of a universe of discourse is formed by taking the initial basis together with the differential basis   Thus we have the following formula. This supplies enough material to construct the differential … Continue reading →

Differential Propositions • Tangent Spaces The tangent space to at one of its points sometimes written takes the form   Strictly speaking, the name cotangent space is probably more correct for this construction but since we take up spaces and … Continue reading →

Differential Propositions • Qualitative Analogues of Differential Equations A differential extension of a universe of discourse is constructed by augmenting its alphabet with a set of symbols for differential features, in effect basic changes capable of occurring in   The … Continue reading →

Fire over water: The image of the condition before transition. Thus the superior man is careful In the differentiation of things, So that each finds its place. — I Ching ䷿ Hexagram 64 Differential Extension of Propositional Calculus This much … Continue reading →