Sheffer Stroke - History

History

The stroke is named after Henry M. Sheffer, who provided (Sheffer 1913) an axiomatization of Boolean algebras using the stroke, and proved its equivalence to a standard formulation thereof by Huntington employing the familiar operators of propositional logic (and, or, not). Because of self-duality of Boolean algebras, Sheffer's axioms are equally valid for either of the NAND or NOR operations in place of the stroke. Sheffer interpreted the stroke as a sign for non-disjunction (NOR) in his paper, mentioning non-conjunction only in a footnote and without a special sign for it. It was Jean Nicod who first used the stroke as a sign for non-conjunction (NAND) in a paper of 1917 and which has since become current practice.

Charles Sanders Peirce (1880) had discovered the functional completeness of NAND or NOR more than 30 years earlier, using the term ampheck (for ‘cutting both ways’), but he never published his finding.

Read more about this topic:  Sheffer Stroke

Famous quotes containing the word history:

    He wrote in prison, not a History of the World, like Raleigh, but an American book which I think will live longer than that. I do not know of such words, uttered under such circumstances, and so copiously withal, in Roman or English or any history.
    Henry David Thoreau (1817–1862)

    No matter how vital experience might be while you lived it, no sooner was it ended and dead than it became as lifeless as the piles of dry dust in a school history book.
    Ellen Glasgow (1874–1945)

    History ... is, indeed, little more than the register of the crimes, follies, and misfortunes of mankind.
    But what experience and history teach is this—that peoples and governments have never learned anything from history, or acted on principles deduced from it.
    Georg Wilhelm Friedrich Hegel (1770–1831)