Tag Archives: Logic of Relatives

⚠ It’s A Trap ⚠

Re: Kenneth W. Regan The most common mathematical trap I run across has to do with Triadic Relation Irreducibility, as noted and treated by the polymath C.S. Peirce. This trap lies in the mistaken belief that every 3-place (triadic or ternary) … Continue reading

Posted in Error, Fallibility, Logic, Logic of Relatives, Mathematical Traps, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , | 4 Comments

Triadic Relation Irreducibility : 3

References Relation Theory MyWikiBiz PlanetMath Sign Relations MyWikiBiz PlanetMath Triadic Relations MyWikiBiz PlanetMath Relation Composition MyWikiBiz PlanetMath Relation Construction MyWikiBiz PlanetMath Relation Reduction MyWikiBiz PlanetMath Related Readings Notes on Peirce’s 1870 Logic of Relatives Interpretation as Action : The Risk … Continue reading

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity | Tagged , , , , , , , , , , | 1 Comment

Triadic Relation Irreducibility : 2

Peircers, Though my present object has more to do with the logical and mathematical aspects of triadic relations than it does with their psychological embodiments, the following exchange on the matter of consciousness from earlier last Fall keeps intruding on … Continue reading

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory | Tagged , , , , , , | 1 Comment

Triadic Relation Irreducibility : 1

The core insight of Peirce’s conceptual system is the recognition that triadic relations are sui generis. Understanding the properties of triadic relations and the consequences of their irreducibility is critical to understanding Peirce’s thought and work. Every attempt to reconstruct Peirce’s … Continue reading

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Philosophy, Pragmatism, Relation Theory | Tagged , , , , , , | 10 Comments

Peircean Semiotics and Triadic Sign Relations : 2

Peircers, When I returned to grad school for the third time around, this time in a systems engineering program, I had in mind integrating many of my old projects investigating the dynamics of information, inquiry, learning, and reasoning, considering these … Continue reading

Posted in Inquiry, Logic of Relatives, Peirce, Relation Theory, Semiotics | Tagged , , , , | 2 Comments

Peircean Semiotics and Triadic Sign Relations : 1

Peircers, As a “guide for the perplexed”, at least when it comes to semiotics, I will use this thread to collect a budget of links to various papers, blog posts, and list posts that I think have served to clarify … Continue reading

Posted in Inquiry, Logic of Relatives, Peirce, Relation Theory, Semiotics | Tagged , , , , | 2 Comments

C.S. Peirce • Of Triadic Being

Selection from C.S. Peirce, “Some Amazing Mazes, Fourth Curiosity” (c. 1909) Of triadic Being the multitude of forms is so terrific that I have usually shrunk from the task of enumerating them; and for the present purpose such an enumeration would … Continue reading

Posted in Logic, Logic of Relatives, Mathematics, Peirce, References, Relation Theory, Semiotics, Sources | Tagged , , , , , , , | Leave a comment

Paradisaical Logic and the After Math

Peircers, Not too coincidentally with the mention of Peirce’s existential graphs, a tangent of discussion on another blog brought to mind an old favorite passage from Peirce, where he is using his entitative graphs to exposit the logic of relatives. … Continue reading

Posted in Logic, Peirce | Tagged , , | Leave a comment

Logic of Relatives

The logic of relatives, more precisely, the logic of relative terms, is the study of relations as represented in symbolic forms known as “rhemes”, “rhemata”, or “relative terms”. Continue reading

Posted in Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics | Tagged , , , , ,