Category Archives: Diagrams

Systems Of Interpretation • 2

Re: Peirce List Discussion • Mike Bergman • Valentine Daniel Let’s start as simply as possible.  The following figure is typical of many I have used to illustrate sign relations from the time I first began studying Peirce’s theory of … 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 • 1

Re: Peirce List Discussion • Mike Bergman • Valentine Daniel Questions have arisen about the variety of diagrams and figures that are currently found in common use to represent triadic sign relations in Peircean semiotics.  What do they mean?  Which … Continue reading

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

Survey of Precursors Of Category Theory • 1

A few years ago I began a sketch on the “Precursors of Category Theory”, aiming to trace the continuities of the category concept from Aristotle, to Kant and Peirce, through Hilbert and Ackermann, to contemporary mathematical practice.  A Survey of … Continue reading

Posted in Abstraction, Ackermann, Analogy, Aristotle, C.S. Peirce, Carnap, Category Theory, Diagrams, Dyadic Relations, Equational Inference, Form, Foundations of Mathematics, Functional Logic, Hilbert, History of Mathematics, Hypostatic Abstraction, Kant, Logic, Logic of Relatives, Mathematics, Peirce, Propositions As Types Analogy, Relation Theory, Saunders Mac Lane, Semiotics, Sign Relations, Surveys, Triadic Relations, Type Theory, Universals | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 17 Comments

Relations & Their Relatives : 8

Re: Peirce List Discussion • Howard Pattee At this point we can distinguish two forms of decomposability or reducibility — along with their corresponding negations, indecomposability or irreducibility – that commonly arise. Reducibility under relational composition All triadic relations are … Continue reading

Posted in C.S. Peirce, Diagrammatic Reasoning, Diagrams, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , , | 5 Comments

Relations & Their Relatives : 7

Re: Peirce List Discussion • Howard Pattee We use this or that species of diagrams to represent a fraction of the properties, hardly ever all the properties, of the objects in an object domain.  The diagrams that Peirce developed to … Continue reading

Posted in Diagrammatic Reasoning, Diagrams, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Tertium Quid, Thirdness, Triadic Relations, Triadicity | Tagged , , , , , , , , , , , , , | 4 Comments