Category Archives: Sign Relations

Sign Relations • Definition

One of Peirce’s clearest and most complete definitions of a sign is one he gives in the context of providing a definition for logic, and so it is informative to view it in that setting. Logic will here be defined … Continue reading

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Sign Relations • Anthesis

Thus, if a sunflower, in turning towards the sun, becomes by that very act fully capable, without further condition, of reproducing a sunflower which turns in precisely corresponding ways toward the sun, and of doing so with the same reproductive … Continue reading

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Survey of Semiotics, Semiosis, Sign Relations • 3

This is a Survey of blog and wiki resources on the theory of signs, variously known as semeiotic or semiotics, and the actions referred to as semiosis which transform signs among themselves in relation to their objects, all as based … Continue reading

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Functional Logic • Inquiry and Analogy • 21

Inquiry and Analogy • Generalized Umpire Operators To get a better handle on the space of higher order propositions and continue developing our functional approach to quantification theory, we’ll need a number of specialized tools.  To begin, we define a … Continue reading

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Functional Logic • Inquiry and Analogy • 20

Inquiry and Analogy • Application of Higher Order Propositions to Quantification Theory Table 21 provides a thumbnail sketch of the relationships discussed in this section. Resources Logic Syllabus Boolean Function Boolean-Valued Function Logical Conjunction Minimal Negation Operator Introduction to Inquiry … Continue reading

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Functional Logic • Inquiry and Analogy • 19

Inquiry and Analogy • Application of Higher Order Propositions to Quantification Theory Reflection is turning a topic over in various aspects and in various lights so that nothing significant about it shall be overlooked — almost as one might turn … Continue reading

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Functional Logic • Inquiry and Analogy • 18

Inquiry and Analogy • Application of Higher Order Propositions to Quantification Theory Last time we took up a fourfold schema of quantified propositional forms traditionally known as a “Square of Opposition”, relating it to a quartet of higher order propositions … Continue reading

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Functional Logic • Inquiry and Analogy • 17

Inquiry and Analogy • Application of Higher Order Propositions to Quantification Theory Our excursion into the expanding landscape of higher order propositions has come round to the point where we can begin to open up new perspectives on quantificational logic. … Continue reading

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Functional Logic • Inquiry and Analogy • 16

Inquiry and Analogy • Extending the Existential Interpretation to Quantificational Logic One of the resources we have for this work is a formal calculus based on C.S. Peirce’s logical graphs.  For now we’ll adopt the existential interpretation of that calculus, fixing … Continue reading

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Functional Logic • Inquiry and Analogy • 15

Inquiry and Analogy • Measure for Measure Let us define two families of measures, by means of the following equations: Table 14 shows the value of each on each of the 16 boolean functions   In terms of the implication … 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