Category Archives: Logic of Relatives

Peirce’s 1870 “Logic of Relatives” • Comment 9.4 Boole rationalizes the properties of what we now call boolean multiplication, roughly equivalent to logical conjunction, by means of his concept of selective operations.  Peirce, in his turn, taking a radical step … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 9.3 An idempotent element in an algebraic system is one which obeys the idempotent law, that is, it satisfies the equation   Under most circumstances it is usual to write this as If … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 9.2 In setting up his discussion of selective operations and their corresponding selective symbols, Boole writes the following. The operation which we really perform is one of selection according to a prescribed principle … Continue reading →

Peirce’s 1870 “Logic of Relatives” • Comment 9.1 Perspective on Peirce’s use of the comma operator at CP 3.73 and CP 3.74 can be gained by dropping back a few years and seeing how George Boole explained his twin conceptions of selective … Continue reading →