She wrote a dissertation " On the Algebra of Logic " with Peirce as the thesis advisor.
2.
In 1913, Skolem passed the state examinations with distinction, and completed a dissertation titled " Investigations on the Algebra of Logic ".
3.
Tarski produced axioms for " logical consequence ", and worked on deductive systems, the algebra of logic, and the theory of definability.
4.
His first scientific publication, a voluminous review of Ernst Schr�der's lectures on the " Algebra of Logic ", fell into this time ( finished 1893 ).
5.
Resistance of these elements could take arbitrary values on the real-number line, and upon the two-element set { 0, " } this degenerates into the bivalent Boolean algebra of logic.
6.
In 1982 he defended a doctoral thesis in mathematics at Universit?Paris I, where, in 1988, he also completed his doctorat d Etat, under the direction of Jean-Toussaint Desanti, on George Boole s algebra of logic.
7.
Shestakov may be considered as a forerunner of combinatorial logic and its application ( and, hence, Boolean algebra of logic as well ) in electric engineering, the'language'of which is broad enough to simulate non-electrical objects of any conceivable physical nature.
8.
He is best known for his monumental " Vorlesungen �ber die Algebra der Logik " ( Lectures on the algebra of logic ), in 3 volumes, which prepared the way for the emergence of mathematical logic as a separate discipline in the twentieth century by systematizing the various systems of formal logic of the day.
9.
The expression " laws of thought " gained added prominence through its use by Boole ( 1815 64 ) to denote theorems of his " algebra of logic "; in fact, he named his second logic book " An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities " ( 1854 ).
10.
Putnam found that mathematicians and logicians learned about the logic of quantifiers through the independent work of Peirce and Mitchell, particularly through Peirce's " On the Algebra of Logic : A Contribution to the Philosophy of Notation " ( 1885 ), published in the premier American mathematical journal of the day, and cited by Peano and Schr�der, among others, who ignored Frege.
