Tag Archives: Discrete Dynamics

Commentary On Small Models • 2 The consequence of dealing with “practically infinite extensions” becomes crucial in building neural network systems capable of learning and adapting, since the adaptive competence of any intelligent system is limited to the objects and … Continue reading →

Commentary On Small Models • 1 One reason for engaging in our present order of extremely reduced but explicitly controlled case study is to throw light on the general study of languages, formal and natural, in their full array of … Continue reading →

Example 1. A Square Rigging (concl.) If we eliminate from view the regions of ruled out by the dynamic law then what remains is the quotient structure shown in the following Figure.  The picture makes it easy to see how … Continue reading →

Example 1. A Square Rigging (cont.) Because the initial space is one‑dimensional we can easily fit the second order extension within the compass of a single venn diagram, charting the pair of converging trajectories as shown in the following Figure. … Continue reading →

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 →