Tag Archives: Nominalism

Relations & Their Relatives • 4

From Dyadic to Triadic to Sign Relations Peirce’s notation for elementary relatives was illustrated earlier by a dyadic relation from number theory, namely, the relation written for 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 , , , , , , , , , , , , , , , | 3 Comments

Relations & Their Relatives • 3

Here are two ways of looking at the divisibility relation, a dyadic relation of fundamental importance in number theory. Table 1 shows the first few ordered pairs of the relation on positive integers corresponding to the relative term, “divisor of”.  Thus, … 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 , , , , , , , , , , , , , , , | 3 Comments

Relations & Their Relatives • 2

What is the relationship between “logical relatives” and “mathematical relations”?  The word relative used as a noun in logic is short for relative term — as such it refers to an item of language used to denote a formal object. … 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 , , , , , , , , , , , , , , , | 3 Comments

Relations & Their Relatives • 1

Sign relations are special cases of triadic relations in much the same way binary operations in mathematics are special cases of triadic relations.  It amounts to a minor complication that we participate in sign relations whenever we talk or think … 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 , , , , , , , , , , , , , , , | 3 Comments

Zeroth Law Of Semiotics • Discussion 4

Re: Zeroth Law Of Semiotics • All Liar, No Paradox Re: FB | Pattern Languages for Systemic Transformation • Esteban Trev JA: A statement asserts that a statement is a statement that is false. The statement violates an axiom of … Continue reading

Posted in Animata, C.S. Peirce, Denotation, Information = Comprehension × Extension, Liar Paradox, Logic, Logical Graphs, Mathematics, Nominalism, Pragmatic Maxim, Semiositis, Semiotics, Sign Relations, Zeroth Law Of Semiotics | Tagged , , , , , , , , , , , , , | 6 Comments

Zeroth Law Of Semiotics • Discussion 3

Re: Zeroth Law Of Semiotics • All Liar, No Paradox Re: FB | Charles S. Peirce Society • Kent Olson KO: The liar paradox is a self-referential paradox, yes? I think Russell answered these. Dear Kent, Russell had no inkling … Continue reading

Posted in Animata, C.S. Peirce, Denotation, Information = Comprehension × Extension, Liar Paradox, Logic, Logical Graphs, Mathematics, Nominalism, Pragmatic Maxim, Semiositis, Semiotics, Sign Relations, Zeroth Law Of Semiotics | Tagged , , , , , , , , , , , , , | 6 Comments

Zeroth Law Of Semiotics • Discussion 2

Re: All Liar, No Paradox • Zeroth Law Of Semiotics Re: FB | Charles S. Peirce Society • Joseph Harry Paradoxes star among my first loves in logic.  So enamored was I with tricks of the mind’s eye I remember … Continue reading

Posted in Animata, C.S. Peirce, Denotation, Information = Comprehension × Extension, Liar Paradox, Logic, Logical Graphs, Mathematics, Nominalism, Pragmatic Maxim, Semiositis, Semiotics, Sign Relations, Zeroth Law Of Semiotics | Tagged , , , , , , , , , , , , , | 6 Comments

Triadic Relations • Discussion 3

Re: Triadic Relations • (1) • (2) • (3) Re: Conceptual Graphs • Edwina Taborsky ET: A few comments on your outline of the Sign.  I think one has to be careful not to set up a Saussurian linguistic dyad.  … 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

Triadic Relations • 3

Triadic Relations • Examples from Semiotics The study of signs — the full variety of significant forms of expression — in relation to all the affairs signs are significant of, and in relation to all the beings signs are significant … 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 , , , , , , , , , , , , , , , | 10 Comments

Triadic Relations • 2

Triadic Relations • Examples from Mathematics For the sake of topics to be taken up later, it is useful to examine a pair of triadic relations in tandem.  We will construct two triadic relations, and each of which is a … 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 , , , , , , , , , , , , , , , | 9 Comments