Tag Archives: Logical Matrices

Peirce’s 1870 “Logic of Relatives” • Comment 9.6

Peirce’s 1870 “Logic of Relatives” • Comment 9.6 By way of fixing the current array of relational concepts in our minds, let us work through a sample of products from our relational multiplication table that will serve to illustrate the … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Comment 9.5

Peirce’s 1870 “Logic of Relatives” • Comment 9.5 Peirce’s comma operation, in its application to an absolute term, is tantamount to the representation of that term’s denotation as an idempotent transformation, which is commonly represented as a diagonal matrix.  Hence … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Comment 8.6

Peirce’s 1870 “Logic of Relatives” • Comment 8.6 The foregoing has hopefully filled in enough background that we can begin to make sense of the more mysterious parts of CP 3.73. The Signs for Multiplication (cont.) Thus far, we have considered … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Comment 8.5

Peirce’s 1870 “Logic of Relatives” • Comment 8.5 I continue with my commentary on CP 3.73, developing the Othello example as a way of illustrating Peirce’s formalism. Since multiplication by a dyadic relative term is a logical analogue of matrix multiplication … Continue reading

Posted in C.S. Peirce, Logic, Logic of Relatives, Logical Matrices, Mathematics, Relation Theory, Visualization | Tagged , , , , , , | 5 Comments