Category Archives: Aristotle

Functional Logic • Inquiry and Analogy • 4

Inquiry and Analogy • Aristotle’s “Apagogy” • Abductive Reasoning Peirce’s notion of abductive reasoning is derived from Aristotle’s treatment of it in the Prior Analytics.  Aristotle’s discussion begins with an example which may seem incidental but the question and its … Continue reading

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Functional Logic • Inquiry and Analogy • 3

Inquiry and Analogy • Comparison of the Analyses The next two Figures will be of use when we turn to comparing the three types of inference as they appear in the respective analyses of Aristotle and Peirce. Types of Reasoning … 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, Pragmatic Semiotic Information, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotics, Sign Relations, Syllogism, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Functional Logic • Inquiry and Analogy • 2

Inquiry and Analogy • Three Types of Reasoning Types of Reasoning in C.S. Peirce Peirce gives one of his earliest treatments of the three types of reasoning in his Harvard Lectures of 1865 “On the Logic of Science”.  There he … 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, Pragmatic Semiotic Information, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotics, Sign Relations, Syllogism, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Functional Logic • Inquiry and Analogy • 1

Inquiry and Analogy • Three Types of Reasoning Types of Reasoning in Aristotle Figure 1 gives a quick overview of traditional terminology I’ll have occasion to refer to as discussion proceeds. Resources Logic Syllabus Boolean Function Boolean-Valued Function Logical Conjunction … 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, Pragmatic Semiotic Information, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotics, Sign Relations, Syllogism, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Functional Logic • Inquiry and Analogy • Preliminaries

Functional Logic • Inquiry and Analogy This report discusses C.S. Peirce’s treatment of analogy, placing it in relation to his overall theory of inquiry.  We begin by introducing three basic types of reasoning Peirce adopted from classical logic.  In Peirce’s analysis … 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, Pragmatic Semiotic Information, Probable Reasoning, Propositional Calculus, Propositions, Reasoning, Retroduction, Semiotics, Sign Relations, Syllogism, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

C.S. Peirce and Category Theory • 8

Re: Category Theory • Henry Story Re: Laws of Form • Lyle Anderson LA: As I am trying to get “frame sync” on this discussion, as the satellite communications people say, I am taking clues from the introduction to the … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | Leave a comment

C.S. Peirce and Category Theory • 7

Re: Category Theory • Henry Story HS: I’d be very interested in the comments of people who know about Peirce on the two chapters in the book Diagrammatic Immanence I linked to above on “3. Peirce” and “4. Diagrams of Variation : … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | Leave a comment

C.S. Peirce and Category Theory • 6

Re: Category Theory • Henry Story HS: I’d love it of course if all of Peirce’s graphs could be mapped to CT.  That would help me integrate that work a lot faster.  Or alternatively, if one could work out exactly … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | Leave a comment

C.S. Peirce and Category Theory • 5

Re: C.S. Peirce and Category Theory • 2 Re: Category Theory • Henry Story • Avi Craimer • Henry Story Dear Avi, Henry, Diagrams are a mixed bag, a complex and polymorphic species, in Peircean semiotics.  All diagrams in common use, … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | Leave a comment

C.S. Peirce and Category Theory • 4

Re: C.S. Peirce and Category Theory • 3 Re: Category Theory • Kyle Rivelli Dear Kyle, My Inquiry Into Inquiry blog has a Survey page where I collect blog and wiki resources on all the longer-running topics I write and … Continue reading

Posted in Abstraction, Aristotle, C.S. Peirce, Category Theory, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatic Maxim, Relation Theory, Semiotics, Triadic Relations, Triadicity, Type Theory | Tagged , , , , , , , , , , , , , , , | Leave a comment