THE MATHEMATICAL ESTABLISHMENT DISTORTS THE MATH OF BOOLE.

You are rarely, if ever, told that the mathematical subject called "Boolean algebra" plays a pivotal role in mainstream mathematics since it is isomorphic to so many other fields of mathematics -- that is, the theoretical difference between them is simply a matter of labels. These fields are:

  1. "Boolean" algebra,
  2. The algebra of statements (propositions).
  3. Complemented distributive ("Boolean") lattice theory.
  4. The power set of a set.
  5. Logic circuit theory.

The Mathematical Establishment does not tell you that the mathematician who has written the definitive book on George Boole (1815-1864) and his works (Theodore Hailperin, Boole's Logic and Probability, 1976 ) has emphasized one of his book's main points by the paper, "Boole's algebra is not Boolean algebra", Mathematics Magazine, 54, 5, 4-16,1982. By "canonizing" a distortion of Boole's intention, The Mathematical Establishment thereby ignores, censors, or rejects extensions of isomorphs of "Boolean" algebra.