# Tag Archives: Dynamical Systems

## Differential Propositional Calculus • Discussion 4

It is one of the rules of my system of general harmony, that the present is big with the future, and that he who sees all sees in that which is that which shall be. Leibniz • Theodicy Re: R.J. … Continue reading

## Differential Propositional Calculus • Discussion 3

That mathematics, in common with other art forms, can lead us beyond ordinary existence, and can show us something of the structure in which all creation hangs together, is no new idea.  But mathematical texts generally begin the story somewhere in … Continue reading

## Differential Logic, Dynamic Systems, Tangent Functors • Discussion 9

Re: FB | Systems Sciences • Kenneth Lloyd Dear Kenneth, Mulling over recent discussions put me in a pensive frame of mind and my thoughts led me back to my first encounter with category theory.  I came across the term … Continue reading

## Differential Logic, Dynamic Systems, Tangent Functors • Comment 1

Re: Differential Logic, Dynamic Systems, Tangent Functors • 1 Seeing as how quasi-neural models and the recurring issues of symbolic vs. connectionist paradigms have come round again, I thought I might revisit work I began initially in that context, investigating … Continue reading

## Differential Propositional Calculus • Discussion 2

The most fundamental concept in cybernetics is that of “difference”, either that two things are recognisably different or that one thing has changed with time. W. Ross Ashby • An Introduction to Cybernetics The times are rife with distraction, so … Continue reading

## Differential Propositional Calculus • Discussion 1

The most fundamental concept in cybernetics is that of “difference”, either that two things are recognisably different or that one thing has changed with time. W. Ross Ashby • An Introduction to Cybernetics Re: Cybernetics Communications • Klaus Krippendorff KK: … Continue reading

## Differential Propositional Calculus • 8

Differential Extensions An initial universe of discourse, supplies the groundwork for any number of further extensions, beginning with the first order differential extension,   The construction of can be described in the following stages: The initial alphabet, is extended by … Continue reading

## Differential Propositional Calculus • 7

Special Classes of Propositions (concl.) Last and literally least in extent, we examine the family of singular propositions in a 3-dimensional universe of discourse. In our model of propositions as mappings of a universe of discourse to a set of … Continue reading

## Differential Propositional Calculus • 6

Special Classes of Propositions (cont.) Next we take up the family of positive propositions and follow the same plan as before, tracing the rule of their formation in the case of a 3-dimensional universe of discourse. Positive Propositions In a … Continue reading

## Differential Propositional Calculus • 5

Special Classes of Propositions (cont.) Let’s pause at this point and get a better sense of how our special classes of propositions are structured and how they relate to propositions in general.  We can do this by recruiting our visual … Continue reading