Tag Archives: Mathematics

Definition and Determination • 1

Posted on May 30, 2012 by Jon Awbrey

It looks like we might be due for one of our recurring reviews on the closely related subjects of definition and determination, with special reference to what Peirce himself wrote on the topics. Arisbe List Archive Here is a collection … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Inquiry, Logic, Mathematics, Peirce, Phenomenology, Semiotics | Tagged , , , , , , , , | 7 Comments

What Peirce Preserves

Posted on May 7, 2012 by Jon Awbrey

Re: Peirce List • On Peirce Preservation Cf: Inquiry List • What Peirce Preserves Looking back from this moment, I think I see things a little differently.  The critical question is whether our theoretical description of inquiry gives us a … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic, Mathematics | Tagged , , , | 1 Comment

Paradisaical Logic and the After Math

Posted on April 9, 2012 by Jon Awbrey

Re: Peter Cameron • Cultures, Tribes, or Just an Illusion? Re: Peirce List • (1) (2) (3) (4) Not too coincidentally with the mention of Peirce’s existential graphs, a tangent of discussion elsewhere brought to mind an old favorite passage … Continue reading →

Posted in Amphecks, C.S. Peirce, Critical Thinking, Inquiry, Logic, Logic of Relatives, Logical Graphs, Logical Reflexion, Mathematics, Peirce, Relation Theory, Second Intentions, Semiotics, Sign Relations, Truth Theory, Visualization | Tagged , , , , , , , , , , , , , , , | 2 Comments

C.S. Peirce • Relatives of Second Intention

Posted on April 7, 2012 by Jon Awbrey

Selections from C.S. Peirce, “The Logic of Relatives”, CP 3.456–552 488.   The general method of graphical representation of propositions has now been given in all its essential elements, except, of course, that we have not, as yet, studied any truths … Continue reading →

Posted in Abstraction, Amphecks, C.S. Peirce, Cognition, Experience, Inquiry, Logic, Logic of Relatives, Logical Graphs, Logical Reflexion, Mathematics, Peirce, Relation Theory, Second Intentions, Semiotics, Sign Relations, Truth Theory | Tagged , , , , , , , , , , , , , , , , | 7 Comments

Peirce’s Law

Posted on October 6, 2008 by Jon Awbrey

Peirce’s law is a logical proposition that states a non-obvious truth of classical logic and affords a novel way of defining classical propositional calculus. Continue reading →

Posted in C.S. Peirce, Equational Inference, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce's Law, Proof Theory, Propositional Calculus, Propositions As Types Analogy, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , | 15 Comments

Praeclarum Theorema

Posted on October 5, 2008 by Jon Awbrey

The praeclarum theorema, or splendid theorem, is a theorem of propositional calculus that was noted and named by G.W. Leibniz. Continue reading →

Posted in Abstraction, Animata, C.S. Peirce, Cactus Graphs, Deduction, Equational Inference, Form, Graph Theory, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Model Theory, Painted Cacti, Peirce, Praeclarum Theorema, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , , , , , , | 17 Comments

Logical Graphs • Formal Development

Posted on September 19, 2008 by Jon Awbrey

Logical graphs are next presented as a formal system by going back to the initial elements and developing their consequences in a systematic manner. Continue reading →

Posted in Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Deduction, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Propositional Calculus, Propositional Equation Reasoning Systems, Semiotics, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , , , , , | 42 Comments

Hypostatic Abstraction

Posted on August 8, 2008 by Jon Awbrey

Hypostatic Abstraction (HA) is a formal operation on a subject–predicate form that preserves its information while introducing a new subject and upping the “arity” of its predicate. To cite a notorious example, HA turns “Opium is drowsifying” into “Opium has dormitive virtue”. Continue reading →

Posted in Abstraction, Article, C.S. Peirce, Hypostatic Abstraction, Logic, Logic of Relatives, Logical Graphs, Mathematics, Molière, Peirce, Reification, Relation Theory | Tagged , , , , , , , , , , , | 5 Comments

Logic of Relatives

Posted on July 31, 2008 by Jon Awbrey

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 C.S. Peirce, Logic, Logic of Relatives, Mathematical Logic, Mathematics, Relation Theory, Semiotics | Tagged , , , , , , | 5 Comments

Semeiotic

Posted on July 30, 2008 by Jon Awbrey

Theory of Signs Semeiotic is one of the terms C.S. Peirce used for his theory of triadic sign relations and it serves to distinguish his theory of signs from other approaches to the same subject matter, more generally referred to … Continue reading →

Posted in C.S. Peirce, Icon Index Symbol, Logic, Logic of Relatives, Logic of Science, Mathematics, Peirce, Pragmatics, Relation Theory, Semantics, Semeiosis, Semeiotic, Semiosis, Semiotics, Sign Relations, Syntax, Triadic Relations | Tagged , , , , , , , , , , , , , , , , | 9 Comments