Category Archives: Diagrams

Survey of Theme One Program • 2

This is a Survey of previous blog and wiki posts on the Theme One Program that I developed all through the 1980s.  The aim of the project was to develop fundamental algorithms and data structures to support an integrated learning … Continue reading

Posted in Algorithms, Animata, Artificial Intelligence, Automated Research Tools, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cognitive Science, Computation, Computational Complexity, Computer Science, Computing, Constraint Satisfaction Problems, Cybernetics, Data Structures, Diagrammatic Reasoning, Diagrams, Differential Analytic Turing Automata, Education, Educational Systems Design, Educational Technology, Equational Inference, Functional Logic, Graph Theory, Indicator Functions, Inquiry, Inquiry Driven Education, Inquiry Driven Systems, Inquiry Into Inquiry, Intelligent Systems, Knowledge, Learning, Learning Theory, Logic, Logical Graphs, Machine Learning, Mathematics, Mental Models, Minimal Negation Operators, Painted Cacti, Peirce, Programming, Programming Languages, Propositional Calculus, Propositional Equation Reasoning Systems, Propositions, Research Technology, Semeiosis, Semiosis, Semiotics, Sign Relations, Surveys, Teaching, Theorem Proving, Triadic Relations, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Types of Reasoning in C.S. Peirce and Aristotle • 2

Re: Peirce List Discussion • Ben Udell • Gary Richmond Present business has kept me from following much of the recent discussion on Peirce’s three types of reasoning, but we have been down this road before and so old tunes … Continue reading

Posted in Abduction, Analogy, Argument, Aristotle, C.S. Peirce, Constraint, Deduction, Determination, Diagrammatic Reasoning, Diagrams, Differential Logic, Functional Logic, Hypothesis, Indication, Induction, Inference, Information, Inquiry, Logic, Logic of Science, Mathematics, Peirce, Peirce List, Philosophy, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotic Information, Semiotics, Sign Relations, Syllogism | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Types of Reasoning in C.S. Peirce and Aristotle • 1

Re: Peirce List Discussion In one of his earliest treatments of the three types of reasoning, from his Harvard Lectures “On the Logic of Science” (1865), Peirce gives an example that illustrates how one and the same proposition might be … Continue reading

Posted in Abduction, Analogy, Argument, Aristotle, C.S. Peirce, Constraint, Deduction, Determination, Diagrammatic Reasoning, Diagrams, Differential Logic, Functional Logic, Hypothesis, Indication, Induction, Inference, Information, Inquiry, Logic, Logic of Science, Mathematics, Peirce, Peirce List, Philosophy, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotic Information, Semiotics, Sign Relations, Syllogism | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Systems Of Interpretation • 9

Figure 2. An Elementary Sign Relation Re: Peirce List Discussion • Jerry Chandler It is above all important to understand that Peirce’s concept of a sign relation is defined at a higher order of abstraction than any notion of causal … Continue reading

Posted in Artificial Intelligence, Communication, Community of Interpretation, Diagrammatic Reasoning, Diagrams, Interpretation, Interpretive Frameworks, Knowledge, Knowledge Representation, Logic, Logic of Relatives, Logical Graphs, Objective Frameworks, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , | Leave a comment

Systems Of Interpretation • 8

Figure 3. Aspects of a Sign Relation Re: Peirce List Discussion • Kirsti Määttänen One of the chief advantages of Peirce’s systems of logical graphs, entitative and existential, is the way they escape the bounds of 1-dimensional syntax and thus make … Continue reading

Posted in Artificial Intelligence, Communication, Community of Interpretation, Diagrammatic Reasoning, Diagrams, Interpretation, Interpretive Frameworks, Knowledge, Knowledge Representation, Logic, Logic of Relatives, Logical Graphs, Objective Frameworks, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , | Leave a comment

Systems Of Interpretation • 7

Figure 2. An Elementary Sign Relation Re: Peirce List Discussion • Gary Fuhrman Peirce’s existential graphs are a general calculus for expressing the same subject matter as his logic of relative terms and thus they serve to represent the structures … Continue reading

Posted in Artificial Intelligence, Communication, Community of Interpretation, Diagrammatic Reasoning, Diagrams, Interpretation, Interpretive Frameworks, Knowledge, Knowledge Representation, Logic, Logic of Relatives, Logical Graphs, Objective Frameworks, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , | Leave a comment

Systems Of Interpretation • 6

Figure 2. An Elementary Sign Relation Re: Peirce List Discussion • Jon Awbrey • John Collier I strongly agree, Jon.  Reading meaning into artefacts of the representation is not typically transparent.  I would say that the whole symbol represents the … Continue reading

Posted in Artificial Intelligence, Communication, Community of Interpretation, Diagrammatic Reasoning, Diagrams, Interpretation, Interpretive Frameworks, Knowledge, Knowledge Representation, Logic, Logic of Relatives, Logical Graphs, Objective Frameworks, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , | Leave a comment