Category Archives: Peirce

Charles Sanders Peirce, George Spencer Brown, and Me • 1

Posted on July 20, 2017 by Jon Awbrey

It’s almost 50 years now since I first encountered the volumes of Peirce’s Collected Papers in the math library at Michigan State, and shortly afterwards a friend called my attention to the entry for Spencer Brown’s Laws of Form in … Continue reading →

Posted in Abstraction, Amphecks, Analogy, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Deduction, Differential Logic, Duality, Form, Graph Theory, Inquiry, Inquiry Driven Systems, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Peirce, Proof Theory, Propositional Calculus, Semiotics, Sign Relational Manifolds, Sign Relations, Spencer Brown, Theorem Proving, Time, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 6 Comments

¿Shifting Paradigms? • 5

Posted on July 16, 2017 by Jon Awbrey

Re: Peter Cameron • Infinity and Foundation We always encounter a multitude of problems whenever we try to rationalize mathematics by reducing it to logic, where logic itself is reduced to a purely deductive style.  A number of thinkers have … Continue reading →

Posted in Algorithms, Boole, C.S. Peirce, Combinatorics, Computation, Foundations of Mathematics, Inquiry, Laws of Form, Leibniz, Logic, Mathematics, Model Theory, Paradigms, Peirce, Proof Theory, Spencer Brown | Tagged , , , , , , , , , , , , , , , | 4 Comments

{ Information = Comprehension × Extension } • Discussion 6

Posted on July 2, 2017 by Jon Awbrey

Re: Peirce List • JA • JFS • JA What interests me about Peirce’s first articulation of the “laws of information” in his early lectures on the “Logic of Science” is how the primal twins of Inquiry and Semiotics nestle … Continue reading →

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Discussion 5

Posted on July 2, 2017 by Jon Awbrey

Re: Peirce List • John Sowa What you say goes to the heart of a problem I saw in Natural Propositions, whether it was Peirce’s account or Stjernfelt’s analysis I did not have time to decide as the schedule of … Continue reading →

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Discussion 4

Posted on July 1, 2017 by Jon Awbrey

Re: Peirce List • Jeffrey Brian Downard JBD quoting CSP: I restricted myself to terms, because at the time this chapter was first written (1867), I had not remarked that the whole doctrine of breadth and depth was equally applicable … Continue reading →

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 9 Comments

{ Information = Comprehension × Extension } • Discussion 3

Posted on June 29, 2017 by Jon Awbrey

Re: Peirce List • John Sowa I gave Frederik Stjernfelt’s Natural Propositions a careful reading back when the Peirce List took it up.  The following archive links will take you to the topic thread and initial post. Peirce List • Frederik Stjernfelt … Continue reading →

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

{ Information = Comprehension × Extension } • Discussion 2

Posted on June 28, 2017 by Jon Awbrey

Re: Peirce List • John Sowa JFS: A more fundamental term is proposition, which is informally defined as the “meaning” of a sentence.  That meaning is usually analyzed as comprehension (also known as intension) and extension. The easier-on-the-eyes blog copy of my … Continue reading →

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 8 Comments

{ Information = Comprehension × Extension } • Discussion 1

Posted on June 26, 2017 by Jon Awbrey

A puzzle in Peirce I have puzzled over for as long as I can remember involves the relationship between his theory of signs, marking the characters of icons, indices, and symbols, and his theory of inquiry, bearing the three inferences … Continue reading →

Posted in Abduction, Belief Fixation, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information, Information = Comprehension × Extension, Inquiry, Intension, Logic, Logic of Science, Peirce, Peirce's Categories, Pragmatism, Scientific Method, Semiotic Information, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

The Difference That Makes A Difference That Peirce Makes • 17

Posted on June 26, 2017 by Jon Awbrey

Re: Peirce List • JA • GF • JFS • JLRC • JA • JFS • GF A rather amusing, if slightly ominous illustration of the point I am trying to make here has just popped up in the daily … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Chomsky, Complementarity, Dewey, Formal Languages, Inquiry, Laws of Form, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Peirce, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relation Theory, Relativity, Science, Scientific Method, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes • 16

Posted on June 25, 2017 by Jon Awbrey

Re: Peirce List • JA • JFS JFS: For those of us who are trying to convince modern students to study Peirce, we need to become bilingual.  We need to show how his terminology and notations map to and from … Continue reading →

Posted in Automata, C.S. Peirce, Category Theory, Chomsky, Complementarity, Dewey, Formal Languages, Inquiry, Laws of Form, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Peirce, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relation Theory, Relativity, Science, Scientific Method, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment