Monthly Archives: March 2014

Peirce’s 1870 “Logic of Relatives” • Comment 10.4

Peirce’s 1870 “Logic of Relatives” • Comment 10.4 From now on the forms of analysis exemplified in the last set of Figures and Tables will serve as a convenient bridge between the logic of relative terms and the mathematics of … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Comment 10.3

Peirce’s 1870 “Logic of Relatives” • Comment 10.3 We have been using several styles of picture to illustrate relative terms and the relations they denote.  Let’s now examine the relationships which exist among the variety of visual schemes.  Two examples … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Comment 10.2

Peirce’s 1870 “Logic of Relatives” • Comment 10.2 To say a relative term “imparts a relation” is to say it conveys information about the space of tuples in a cartesian product, that is, it determines a particular subset of that … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Comment 10.1

Peirce’s 1870 “Logic of Relatives” • Comment 10.1 What Peirce is attempting to do at CP 3.75 is absolutely amazing.  I did not run across anything on a par with it again until the mid 1980s when I began studying the … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Selection 10

We continue with §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 10 The Signs for Multiplication (cont.) The sum generally denotes no logical term.  But may be considered as denoting some two ’s.  … Continue reading

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Peirce’s 1870 “Logic of Relatives” • Comment 9.7

Peirce’s 1870 “Logic of Relatives” • Comment 9.7 From this point forward we may think of idempotents, selectives, and zero-one diagonal matrices as being roughly equivalent notions.  The only reason I say roughly is that we are comparing ideas at … Continue reading

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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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