Category Archives: Philosophy

Relation Theory • 6

Relation Theory • Species of Dyadic Relations Returning to 2-adic relations, it is useful to describe several familiar classes of objects in terms of their local and numerical incidence properties.  Let be an arbitrary 2-adic relation.  The following properties of … Continue reading

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 4 Comments

Relation Theory • 5

Relation Theory Two further classes of incidence properties will prove to be of great utility. Regional Incidence Properties The definition of a local flag can be broadened from a point to a subset of a relational domain, arriving at the … Continue reading

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 5 Comments

Relation Theory • 4

Relation Theory • Local Incidence Properties The next few definitions of local incidence properties of relations are given at a moderate level of generality in order to show how they apply to -place relations.  In the sequel we’ll see what … Continue reading

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 6 Comments

Relation Theory • 3

Relation Theory • Definition It is convenient to begin with the definition of a -place relation, where is a positive integer. Definition.  A -place relation over the nonempty sets is a -tuple where is a subset of the cartesian product Several … Continue reading

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 6 Comments

Relation Theory • 2

Relation Theory • Preliminaries Two definitions of the relation concept are common in the literature.  Although it is usually clear in context which definition is being used at a given time, it tends to become less clear as contexts collide, … Continue reading

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 6 Comments

Relation Theory • 1

Here’s an introduction to Relation Theory geared to applications and taking a moderately general view at least as far as finite numbers of relational domains are concerned (-adic or -ary relations). Relation Theory This article treats relations from the perspective … Continue reading

Posted in C.S. Peirce, Category Theory, Dyadic Relations, Logic, Logic of Relatives, Logical Graphs, Mathematics, Nominalism, Peirce, Pragmatism, Realism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , | 6 Comments

Zeroth Law Of Semiotics • Discussion 1

Re: Zeroth Law Of Semiotics • Comment 2 Re: Laws of Form • John Mingers JM: Hmmm Sounds terribly like analytic philosophy to me. There are not real philosophical problems, it’s all just a matter of misuse of words. Have … Continue reading

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The Difference That Makes A Difference That Peirce Makes • 33

Re: Ontolog Forum • William Frank William Frank asked a question about propositional attitudes and presuppositions. WF: Are there any formal languages, such as Common Logic, that adequately represent statements about propositions — statements from which, in natural reasoning, one can … Continue reading

Posted in Analogy, Bertrand Russell, C.S. Peirce, Dyadic Relations, Fixation of Belief, Information, Information = Comprehension × Extension, Inquiry, Logic, Logic of Relatives, Logic of Science, Logical Graphs, Mathematics, Pragmatic Maxim, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Triadicity, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , | Leave a comment

On Reading Peirce • Discussion 2

Re: Peirce List • Jon Awbrey • Gary Richmond JA: Well, it’s true, all science is under construction. But not everything under construction is a science. GR: True.  But I’d suggest that there is no good reason to block the … Continue reading

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On Reading Peirce • Discussion 1

Re: Peirce List • Jon Awbrey • John Sowa JFS: I detect a prebit of irony in your note. Although I respect Peirce’s ethics of terminology and observe his recommendations when they are appropriate and realistic, I also know that … Continue reading

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