Monthly Archives: February 2014

Peirce’s 1870 “Logic of Relatives” • Comment 8.1

Posted on February 18, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Comment 8.1 To my way of thinking, CP 3.73 is one of the most remarkable passages in the history of logic.  In this first pass over its deeper contents I won’t be able to accord … Continue reading →

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Peirce’s 1870 “Logic of Relatives” • Selection 8

Posted on February 17, 2014 by Jon Awbrey

We continue with §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 8 The Signs for Multiplication (cont.) Thus far, we have considered the multiplication of relative terms only.  Since our conception of multiplication … Continue reading →

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Peirce’s 1870 “Logic of Relatives” • Proto-Graphical Syntax

Posted on February 12, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Proto-Graphical Syntax It is clear from our last Selection that Peirce is already on the verge of a graphical syntax for the logic of relative terms.  Indeed, it is likely he had already reached … Continue reading →

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Peirce’s 1870 “Logic of Relatives” • Selection 7

Posted on February 7, 2014 by Jon Awbrey

We continue with §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 7 The Signs for Multiplication (cont.) The associative principle does not hold in this counting of factors.  Because it does not hold, … Continue reading →

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Peirce’s 1870 “Logic of Relatives” • Sets as Sums

Posted on February 6, 2014 by Jon Awbrey

Peirce’s 1870 “Logic of Relatives” • Sets as Sums Peirce’s way of representing sets as logical sums may seem arcane, but it’s quite often used in mathematics and remains the tool of choice in many branches of algebra, combinatorics, computing, … Continue reading →

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Peirce’s 1870 “Logic of Relatives” • Selection 6

Posted on February 5, 2014 by Jon Awbrey

We continue with §3. Application of the Algebraic Signs to Logic. Peirce’s 1870 “Logic of Relatives” • Selection 6 The application of a relation is one of the most basic operations in Peirce’s logic.  Because relation applications are so pervasive … Continue reading →

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

Posted on February 4, 2014 by Jon Awbrey

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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