Category Archives: Semiotics

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 →

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 →

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 →

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 →

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 →

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 →

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 →