Category Archives: Visualization

Peirce’s 1870 “Logic of Relatives” • Selection 5

On to the next part of §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 5 The Signs for Multiplication I shall adopt for the conception of multiplication the application of a relation, in … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Selection 4

Here is the next part of §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 4 The Signs for Addition The sign of addition is taken by Boole so that denotes everything denoted by … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Selection 3

We move on to the next part of §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 3 The Signs of Inclusion, Equality, Etc. I shall follow Boole in taking the sign of equality … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Selection 2

We continue with §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 2 Numbers Corresponding to Letters I propose to use the term “universe” to denote that class of individuals about which alone the … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Selection 1

We pick up the text at §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 1 Use of the Letters The letters of the alphabet will denote logical signs. Now logical terms are of … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Preliminaries

In the beginning was the three-pointed star, One smile of light across the empty face; One bough of bone across the rooting air, The substance forked that marrowed the first sun; And, burning ciphers on the round of space, Heaven … Continue reading

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Objects, Models, Theories • 4

Re: Objects, Models, Theories • (1) • (2) • (3) Aristotle’s “Paradigm” We have been considering the following problem — What are objects, models, theories, and how do they relate to one another? In contemplating the problem I always find … Continue reading

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Objects, Models, Theories • 3

Re: Objects, Models, Theories • (1) • (2) Re: Peirce List • Tom Gollier Here my task is to build bridges between several different classical and contemporary uses of the word model, so I don’t have the luxury of complete … Continue reading

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Objects, Models, Theories • 2

Re: K.W. Regan • The Graph Of Math Re: Artem Kaznatcheev • Three Types Of Mathematical Models What — if anything — is the common sense that connects the different senses of the word model, as it has been used … Continue reading

Posted in Adaptive Systems, Analogy, Biological Systems, C.S. Peirce, Information, Inquiry, Inquiry Driven Systems, Learning Theory, Logic, Logic of Science, Mathematical Models, Mathematics, Mental Models, Model Theory, Pragmata, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , | 10 Comments

Objects, Models, Theories • 1

Happy Birthday, Charles Sanders Peirce❢ — September 10, 1839 Re: Artem Kaznatcheev • Three Types of Mathematical Models Comment 1 In speaking of models one tends to find denizens of different disciplines talking at cross purposes to one another.  Logicians … Continue reading

Posted in Adaptive Systems, Analogy, Biological Systems, C.S. Peirce, Information, Inquiry, Inquiry Driven Systems, Learning Theory, Logic, Logic of Science, Mathematical Models, Mathematics, Mental Models, Model Theory, Pragmata, Semiotics, Sign Relations, Triadic Relations, Visualization | Tagged , , , , , , , , , , , , , , , , , , | 11 Comments