Category Archives: Logic of Relatives

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

C.S. Peirce • Algebra of Logic ∫ Philosophy of Notation • 2

Selection from C.S. Peirce, “On the Algebra of Logic : A Contribution to the Philosophy of Notation” (1885) §1.  Three Kinds Of Signs (cont.) I have taken pains to make my distinction of icons, indices, and tokens clear, in order … Continue reading

Posted in Algebra of Logic, C.S. Peirce, Deduction, Diagrammatic Reasoning, Icon Index Symbol, Logic, Logic of Relatives, Mathematics, Philosophy of Notation, Relation Theory, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , | 1 Comment

C.S. Peirce • Algebra of Logic ∫ Philosophy of Notation • 1

Selection from C.S. Peirce, “On the Algebra of Logic : A Contribution to the Philosophy of Notation” (1885) §1.  Three Kinds Of Signs Any character or proposition either concerns one subject, two subjects, or a plurality of subjects.  For example, … Continue reading

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Relations & Their Relatives • Discussion 23

Re: Ontolog Forum • Roberto Rovetto • Alex Shkotin Having lost my concentration to another round of home reconstruction disruption, let me loop back to the texts from Roberto and Alex which drew me into this discussion last week. RR: … Continue reading

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Relations & Their Relatives • Discussion 22

Re: Ontolog Forum • Roberto Rovetto (1) (2) RR: What’s your view on: When to create a greater-than-binary relation rather than a binary relation? Consider:  You want to represent some information, statement, or knowledge, without necessarily being forced to limit … Continue reading

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Relations & Their Relatives • Discussion 21

Re: Ontolog Forum • Alex Shkotin AS: Let me underline an important point:  first of all, we have found in nature and society one or another relation and ask how many members each example of this relation can have?  i.e. … Continue reading

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Relations & Their Relatives • Discussion 20

Re: Information = Comprehension × Extension Re: Category Theory • Morgan Rogers MR: Care to make any of this more precise? [The above] formula, for example? Yes, it will take some care to make it all more precise, and I’ve … Continue reading

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Relations & Their Relatives • Discussion 19

Re: Category Theory • Henry Story HS: Could one not say that Frege also had a three part relation?  I guess:  for singular terms their Sense and Reference. […] His argument could be explained very simply.  Imagine you start with … Continue reading

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Relations & Their Relatives • Discussion 18

Re: Relations & Their Relatives • Review 1 Re: Category Theory • Morgan Rogers MR: So a “sign process” would be a subset , where is a time domain? There are a couple of ways we usually see the concept … Continue reading

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Relations & Their Relatives • Review 1

Peirce’s notation for elementary relatives was illustrated earlier by a dyadic relation from number theory, namely for being a divisor of Cf: Relations & Their Relatives • 3 Table 1 shows the first few ordered pairs of the relation on positive … 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 , , , , , , , , , , , , , , , | 2 Comments