Tag Archives: Logical Graphs

The duality between Entitative and Existential interpretations of logical graphs is a good example of a mathematical symmetry, in this case a symmetry of order two.  Symmetries of this and higher orders give us conceptual handles on excess complexity in … Continue reading →

Re: Animated Logical Graphs • 21 Re: Ontolog Forum • Joseph Simpson JS: I tend to view equivalence and distinction as relationships as opposed to operations.  I do not know if this makes any significant difference in this context. Dear Joe, … Continue reading →

The rules given in the previous post for evaluating cactus graphs were given in purely formal terms, that is, by referring to the mathematical forms of cacti without mentioning their potential for logical meaning.  As it turns out, two ways … Continue reading →

This post and the next wrap up the Themes and Variations section of my speculation on Futures Of Logical Graphs.  I made an effort to “show my work”, reviewing the steps I took to arrive at the present perspective on … Continue reading →

Re: Animated Logical Graphs • 23 Let’s examine the Formal Operation Table for the third in our series of reflective forms to see if we can elicit the general pattern. Or, thinking in terms of the corresponding cactus graphs, writing for … Continue reading →

Re: Ontolog Forum • Joseph Simpson JS: Today I found an interesting publication that might relate to the current discussion of Animated Logical Graphs (ALG).  Please see: Mathematician Solves Computer Science Conjecture in Two Pages The “sensitivity” conjecture may be … Continue reading →

The following Table will suffice to show how the “streamer‑cross” forms C.S. Peirce used in his essay on “Qualitative Logic” and Spencer Brown used in his Laws of Form, as they are extended through successive steps of controlled reflection, translate into syntactic … Continue reading →

The step of controlled reflection we took with the previous post can be repeated at will, as suggested by the following series of forms. Written inline, we have the series and so on, whose general form is   With this move … Continue reading →

A funny thing just happened.  Let’s see if we can tell where.  We started with the algebraic expression in which the operand suggests the contemplated absence or presence of any arithmetic expression or its value, then we contemplated the absence … Continue reading →