Category Archives: Semiotics

Peirce’s 1870 “Logic of Relatives” • Selection 1

Posted on January 27, 2014 by Jon Awbrey

We pick up the text at §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 1 Use of the Letters The letters of the alphabet will denote logical signs. Now logical terms are of … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Mathematics, Relation Theory, Semiotics, Triadicity, Visualization | Tagged , , , , , , , | 11 Comments

Peirce’s 1870 “Logic of Relatives” • Preliminaries

Posted on January 27, 2014 by Jon Awbrey

In the beginning was the three-pointed star, One smile of light across the empty face; One bough of bone across the rooting air, The substance forked that marrowed the first sun; And, burning ciphers on the round of space, Heaven … Continue reading →

Posted in C.S. Peirce, Logic, Logic of Relatives, Mathematics, Relation Theory, Semiotics, Triadicity, Visualization | Tagged , , , , , , , | 28 Comments

All Process, No Paradox • 5

Posted on January 21, 2014 by Jon Awbrey

In the midst of this strife, whereat the halls of Ilúvatar shook and a tremor ran out into the silences yet unmoved, Ilúvatar arose a third time, and his face was terrible to behold.  Then he raised up both his … Continue reading →

Posted in Animata, C.S. Peirce, Category Theory, Cybernetics, Differential Logic, Laws of Form, Logic, Logical Graphs, Mathematics, Paradox, Peirce, Process, Semiotics, Spencer Brown, Systems Theory, Tertium Quid, Time, Tolkien | Tagged , , , , , , , , , , , , , , , , , | 9 Comments

Alpha Now, Omega Later • 7

Posted on December 19, 2013 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • Theorems From Physics? In a way, the relation between “physics space” and “information space” is one of the topics I address in my work on inquiry driven systems.  Here is a pertinent place in … Continue reading →

Posted in C.S. Peirce, Differential Logic, Dynamical Systems, Equational Inference, Laws of Form, Logic, Logical Graphs, Mathematics, Propositional Calculus, Semiotics, Sign Relations, Spencer Brown | Tagged , , , , , , , , , , , | 4 Comments

Icon, Likeness, Likely Story, Likelihood, Probability : 3

Posted on December 12, 2013 by Jon Awbrey

Re: Peirce List Discussion • Phyllis Chiasson A more complete excerpt and the translator’s notes are very helpful here. A probability (εικος) is not the same as a sign (σηµειον).  The former is a generally accepted premiss ;  for that which … Continue reading →

Posted in Aristotle, C.S. Peirce, Enthymeme, Icon Index Symbol, Logic, Peirce, Peirce List, Probability, Probable Reasoning, Semiotics, Sign Relations | Tagged , , , , , , , , , , | 1 Comment

Icon, Likeness, Likely Story, Likelihood, Probability • 2

Posted on December 11, 2013 by Jon Awbrey

Re: Peirce List • Phyllis Chiasson I’m still a bit fuzzy on how Aristotle’s account relates to Peirce’s usage, though I’m pretty sure Peirce must have taken Aristotle’s usage into account, but it does seem that Aristotle drew some sort … Continue reading →

Posted in Analogy, Aristotle, C.S. Peirce, Icon Index Symbol, Induction, Inquiry, Likelihood, Likely Story, Likeness, Logic, Mathematics, Probability, Probable Reasoning, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , | 1 Comment

Icon, Likeness, Likely Story, Likelihood, Probability • 1

Posted on December 11, 2013 by Jon Awbrey

Re: Peirce List • Benjamin Udell • Michael Shapiro Here’s a likely locus classicus for “icon” in its logical sense — A probability (εικος) is not the same as a sign (σηµειον).  The former is a generally accepted premiss;  for … Continue reading →

Posted in Analogy, Aristotle, C.S. Peirce, Icon Index Symbol, Induction, Inquiry, Likelihood, Likely Story, Likeness, Logic, Mathematics, Probability, Probable Reasoning, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , | 2 Comments

Alpha Now, Omega Later • 6

Posted on December 6, 2013 by Jon Awbrey

Re: Alpha Now, Omega Later • Theorems From Physics? • Isomorphism Is Where It’s At In the late 1970s a number of problems in combinatorics and graph theory that I really wanted to know the answers to had driven me … Continue reading →

Posted in C.S. Peirce, Differential Logic, Dynamical Systems, Equational Inference, Laws of Form, Logic, Logical Graphs, Mathematics, Propositional Calculus, Semiotics, Sign Relations, Spencer Brown | Tagged , , , , , , , , , , , | 5 Comments

Alpha Now, Omega Later • 5

Posted on December 4, 2013 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • Isomorphism Is Where It’s At “Are there more good cases of isomorphism to study?” Just off the top of my head, a couple of examples come to mind. Sign Relations.  In computational settings, … Continue reading →

Posted in C.S. Peirce, Differential Logic, Dynamical Systems, Equational Inference, Laws of Form, Logic, Logical Graphs, Mathematics, Propositional Calculus, Semiotics, Sign Relations, Spencer Brown | Tagged , , , , , , , , , , , | 6 Comments

Alpha Now, Omega Later • 4

Posted on December 3, 2013 by Jon Awbrey

Re: Cristopher Moore on Theorems From Physics? It is critically important to distinguish between the objective landscape, the boolean functions as mathematical objects, and the syntactic landscape, the particular formal language we are using as a propositional calculus to denote … Continue reading →

Posted in C.S. Peirce, Differential Logic, Dynamical Systems, Equational Inference, Laws of Form, Logic, Logical Graphs, Mathematics, Propositional Calculus, Semiotics, Sign Relations, Spencer Brown | Tagged , , , , , , , , , , , | 6 Comments