Boole in a sentence

Boole came to speak against a what he saw as "prideful" scepticism, and instead, favoured the belief in a "Supreme Intelligent Cause", Boole, George.

Second, in the realm of logic's problems, Boole's addition of equation solving to logic—another revolutionary idea—involved Boole's doctrine that Aristotle's rules of inference (the "perfect syllogisms") must be supplemented by rules for equation solving.

It doesn’t matter that the local couple was City Council member Phil Brock and his longtime partner Kathryn Boole.

At the time George Boole 's algebra of logic made a strong counterpoint to ordinary number algebra, so the term "universal" served to calm strained sensibilities.

Boole died young, but his ideas lived on.

Boole replaced the operation of multiplication by the word 'and' and addition by the word 'or'.

Charles Sanders Peirce built upon the work of Boole to develop a logical system for relations and quantifiers, which he published in several papers from 1870 to 1885.

Charles Sanders Peirce The defects in Boole's system (such as the use of the letter v for existential propositions) were all remedied by his followers.

Concluding remarks of his treatise of "Clarke and Spinoza", as found in Boole, George (2007).

Consequently, many of the advances achieved by Leibniz were reachieved by logicians like George Boole and Augustus De Morgan completely independent of Leibniz.

Contrary to widespread belief, Boole never intended to criticise or disagree with the main principles of Aristotle's logic.

De Morgan, of course, understood the formula in its true sense; he was Boole's collaborator all along.

Differential equations Boole completed two systematic treatises on mathematical subjects during his lifetime.

First, in the realm of foundations, Boole reduced Aristotle's four propositional forms to one form, the form of equations—by itself a revolutionary idea.

For example, conjunction and disjunction in Boole were not a dual pair of operations.

Formal logic main Leibniz is one of the most important logicians between Aristotle and 1847, when George Boole and Augustus De Morgan each published books that began modern formal logic.

Giuseppe Peano (1889) published a set of axioms for arithmetic that came to bear his name ( Peano axioms ), using a variation of the logical system of Boole and Schröder but adding quantifiers.

In 1869 Jevons realised that Boole's methods could be mechanised, and constructed a "logical machine" which he showed to the Royal Society the following year.

In his book The Last Challenge Problem, David Miller provides a general method in accord with Boole's system and attempts to solve the problems recognised earlier by Keynes and others.

Keynes believed that Boole had made a fundamental error in his definition of independence which vitiated much of his analysis.