Category Archives: Logic

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 →

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 →

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 →