Tag Archives: Mathematics

The Difference That Makes A Difference That Peirce Makes • 8

Re: Peirce List • James Albrecht Among the subtle shifts in scientific thinking that occurred in the mid 1800s, George Boole gave us a functional interpretation of logic, associating every propositional expression — at the most basic level of logic we now … Continue reading

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The Difference That Makes A Difference That Peirce Makes • 7

Re: Peirce List • GF • GF • GR In our “Inquiry as Action : Risk of Inquiry” paper, originally presented at a conference on “Hermeneutics and the Human Sciences”, Susan and I sought to trace the interminglings of signs … Continue reading

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The Difference That Makes A Difference That Peirce Makes • 6

Re: Peirce List • Gary Fuhrman The uses to which Susan Awbrey and I turned Aristotle’s passage from De Interp can be found in our paper from 1992/1995. Awbrey, J.L., and Awbrey, S.M. (1992), “Interpretation as Action : The Risk of … Continue reading

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The Difference That Makes A Difference That Peirce Makes • 5

Re: Peirce List • Gary Richmond When I think back to the conceptual changes my first university physics courses put me through, a single unifying theme emerges.  Relativity Theory and Quantum Mechanics had a way of making the observer an active … Continue reading

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The Difference That Makes A Difference That Peirce Makes • 4

Re: Peirce List • Mike Bergman The mathematical perspectives and theories that made modern physics possible, perhaps even inevitable, were developed by many mathematicians, both abstract and applied, all throughout the 19th Century.  There was a definite sea change in … Continue reading

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Survey of Abduction, Deduction, Induction, Analogy, Inquiry • 1

This is a Survey of blog and wiki posts on three elementary forms of inference, as recognized by a logical tradition extending from Aristotle through Charles S. Peirce.  Particular attention is paid to the way these inferential rudiments combine to … Continue reading

Posted in Abduction, Aristotle, C.S. Peirce, Deduction, Dewey, Discovery, Doubt, Fixation of Belief, Functional Logic, Icon Index Symbol, Induction, Inference, Information, Inquiry, Invention, Logic, Logic of Science, Mathematics, Morphism, Paradigmata, Paradigms, Pattern Recognition, Peirce, Philosophy, Pragmatic Maxim, Pragmatism, Scientific Inquiry, Scientific Method, Semiotics, Sign Relations, Surveys, Syllogism, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 5 Comments

Animated Logical Graphs • 10

Re: Peirce List Discussion • Charles Pyle Let’s consider Peirce’s logical graphs at the alpha level, the abstract forms of which can be interpreted for propositional logic.  I say “can be interpreted” advisedly because the system of logical graphs itself … Continue reading

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 11 Comments

The Difference That Makes A Difference That Peirce Makes • 3

It was fifty years ago this month that I first came North to Michigan, prospecting for a college to enter in the Fall.  I reached East Lansing in the middle of what would later be regaled as the Blizzard of … Continue reading

Posted in C.S. Peirce, Chemistry, Complementarity, Inquiry, Laws of Form, Logic, Mathematics, Peirce, Philosophy, Physics, Pragmatism, Quantum Mechanics, Relativity, Science, Scientific Method, Semiotics, Spencer Brown | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Survey of Semiotic Theory Of Information • 2

This is a Survey of previous blog and wiki posts on the Semiotic Theory Of Information.  All my projects are exploratory in essence but this line of inquiry is more open-ended than most.  The question is: What is information and how … Continue reading

Posted in Abduction, C.S. Peirce, Communication, Control, Cybernetics, Deduction, Determination, Discovery, Doubt, Epistemology, Fixation of Belief, Induction, Information, Information = Comprehension × Extension, Information Theory, Inquiry, Inquiry Driven Systems, Inquiry Into Inquiry, Interpretation, Invention, Knowledge, Learning Theory, Logic, Logic of Relatives, Logic of Science, Mathematics, Peirce, Philosophy, Philosophy of Science, Pragmatic Information, Probable Reasoning, Process Thinking, Relation Theory, Scientific Inquiry, Scientific Method, Semeiosis, Semiosis, Semiotic Information, Semiotics, Sign Relational Manifolds, Sign Relations, Surveys, Triadic Relations, Uncertainty | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

The Difference That Makes A Difference That Peirce Makes • 2

Re: A Flash From The Past ⚡⚡⚡ My mind keeps flashing back to the days when I first encountered Peirce’s thought.  It was so fresh, it spoke to me like no other thinker’s thought I knew, and it held so … Continue reading

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