Tag Archives: Category Theory

Example 2. Drives and Their Vicissitudes (cont.) With a little thought it is possible to devise a canonical indexing scheme for the states in differential logical systems.  A scheme of that order allows for comparing changes of state in universes … Continue reading →

Example 2. Drives and Their Vicissitudes (cont.) Expressed in the language of drives and gears our next Example may be described as the family of fourth‑gear curves through the fourth extension   Those are the trajectories generated subject to the … Continue reading →

I open my scuttle at night and see the far‑sprinkled systems, And all I see, multiplied as high as I can cipher, edge but      the rim of the farther systems. — Walt Whitman • Leaves of Grass Example 2. Drives … Continue reading →

Tacit Extensions Returning to the Table of Differential Propositions, let’s examine how the general concept of a tacit extension applies to the differential extension of a one‑dimensional universe of discourse, where and Each proposition has a canonical expression in the … Continue reading →

I would really like to have slipped imperceptibly into this lecture, as into all the others I shall be delivering, perhaps over the years ahead. — Michel Foucault • The Discourse on Language Tacit Extensions In viewing the previous Table … Continue reading →

I guess it must be the flag of my disposition, out of hopeful      green stuff woven. — Walt Whitman • Leaves of Grass Back to the Feature Let’s assume the sense intended for differential features is well enough established in … Continue reading →

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 →