Category Archives: Duality

Semiotic Transformations Re: Transformations of Logical Graphs • (8) • (9) • (10) • (11) Re: Interpretive Duality as Sign Relation • Orbit Order Taking from our wallets an old schedule of orbits, let’s review the classes of logical graphs … Continue reading →

Semiotic Transformations Re: Transformations of Logical Graphs • (8) • (9) • (10) Continuing our scan of the Table in Episode 8, the next two orbits contain the logical graphs for the boolean functions in that order.  A first glance … Continue reading →

Semiotic Transformations Re: Transformations of Logical Graphs • (4) • (5) • (6) • (7) • (8) • (9) After the four orbits of self‑dual logical graphs we come to six orbits of dual pairs.  In no particular order of importance, we … Continue reading →

Semiotic Transformations Re: Transformations of Logical Graphs • (4) • (5) • (6) • (7) • (8) Last time we took up the four singleton orbits in the action of on and saw each consists of a single logical graph … Continue reading →

Semiotic Transformations Re: Transformations of Logical Graphs • (4) • (5) • (6) • (7) Turning again to our Table of Orbits let’s see what we can learn about the structure of the sign relational system in view. As we saw … Continue reading →

Semiotic Transformations Re: Transformations of Logical Graphs • (4) • (5) • (6) Our investigation has brought us to the point of seeing both a transformation group and a triadic sign relation in the duality between entitative and existential interpretations of … Continue reading →

Semiotic Transformations Re: Transformations of Logical Graphs • (4) • (5) Our study of the duality between entitative and existential interpretations of logical graphs has brought to light its fully sign-relational character, casting the interpretive duality as a transformation of … Continue reading →

Semiotic Transformations Re: Transformations of Logical Graphs • (4) “I know what you mean but I say it another way” — it’s a thing I find myself saying often enough, if only under my breath, to rate an acronym for … Continue reading →

Semiotic Transformations Once we bring the dual interpretations of logical graphs to the same Table and relate their parleys to the same objects, it is clear we are dealing with a triadic sign relation of the sort taken up in … Continue reading →

Re: Transformations of Logical Graphs • (1) • (2) We’ve been using the duality between entitative and existential interpretations of logical graphs to get a handle on the mathematical forms pervading logical laws.  A few posts ago we took up … Continue reading →