Tag Archives: Mathematics

C.S. Peirce • On the Definition of Logic

Posted on June 1, 2012 by Jon Awbrey

Selections from C.S. Peirce, “Carnegie Application” (1902) No. 12.  On the Definition of Logic Logic will here be defined as formal semiotic.  A definition of a sign will be given which no more refers to human thought than does the … Continue reading →

Posted in C.S. Peirce, Inquiry, Logic, Mathematics, Peirce, Semiotics, Sign Relations, Sources, Triadic Relations | Tagged , , , , , , , , | 35 Comments

Definition and Determination • 4

Posted on May 31, 2012 by Jon Awbrey

If I hear what a couple of my interlocutors are saying, we need both a place to stand and direction of focus in order to tackle the massa confusa that rises up like a great cloud of unknowing every time … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Inquiry, Logic, Mathematics, Peirce, Phenomenology, Semiotics | Tagged , , , , , , , , | 17 Comments

Definition and Determination • 3

Posted on May 30, 2012 by Jon Awbrey

Re: Peirce List • Rafe Champion (1) (2) Where to begin?  Perhaps in the middle … In the early 90s — having spent a quarter of a century acquiring a bachelor’s in “Mathematical and Philosophical Method”, a master’s in mathematics, … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Inquiry, Logic, Mathematics, Peirce, Phenomenology, Semiotics | Tagged , , , , , , , , | 6 Comments

Definition and Determination • 2

Posted on May 30, 2012 by Jon Awbrey

Recent discussions have brought to mind a number of persistent problems in pragmatic thought, especially if we aim to apply Peirce’s conceptions to real practical effect in understanding pressing real-world phenomena.  Among the host of issues, the following two objectives … Continue reading →

Posted in C.S. Peirce, Definition, Determination, Inquiry, Logic, Mathematics, Peirce, Phenomenology, Semiotics | Tagged , , , , , , , , | 6 Comments

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 →

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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