Essay about George Boole - 807 Words - StudyMode

Pursuing this direction of research led Stone to ask about thestructure of an arbitrary Boolean algebra, a question that he answeredby proving that every Boolean algebra is isomorphic to a Booleanalgebra of sets. In his work on Boolean algebras he noticed acertain analogy between kernels of homomorphisms and the idealsstudied in ring theory—this led him to give the name“ideal” to such kernels. Not long after this he discovereda translation between Boolean algebras and Boolean rings; under thistranslation the ideals of a Boolean algebra corresponded precisely tothe ideals of the associated Boolean ring. His next major contributionwas to establish a correspondence between Boolean algebras and certaintopological spaces now called Boolean spaces (or Stone spaces). Thiscorrespondence would later prove to be a valuable tool in theconstruction of exotic Boolean algebras. These results of Stone arestill a paradigm for developments in the algebra of logic.

In it Boole showed how all the ponderous verbalism of Aristotelian logic could be rendered in a crisp algebra that was remarkably similar to the ordinary algebra of numbers.


Booleography: George Boole Essay - 1712 Words | Cram

"George Boole."  Encyclopedia of World Biography. .  (January 16, 2018).

According to Huntington (1933: 278), the term “Booleanalgebra” was introduced by Henry M. Sheffer (1882–1964) inthe paper where he showed that one could give a five-equationaxiomatization of Boolean algebra using the single fundamentaloperation of joint exclusion, now known as the Sheffer stroke (seeSheffer 1913). Whitehead and Russell claimed in the preface to thesecond edition of Principia that the Sheffer stroke was the greatestadvance in logic since the publication of Principia. (Hilbertand Ackermann (1928), by contrast, stated that the Sheffer stroke wasjust a curiosity.) Neither realized that decades earlier Schröder haddiscovered that the dual of the Sheffer stroke was also such anoperation—Schröder's symbol for his operation was that of adouble-edged sword.


Further Reading on George Boole

George Boole was born on Nov. 2, 1815, in Lincoln. He attended a primary school of the National Society and then a school for commercial subjects. This was the last of his formal schooling but not the end of his education, for he inherited a talent for self-study from his father, a shoemaker by trade but a philosopher by inclination. At the age of 16 young Boole became an assistant teacher in an elementary school. Four years later he opened his own school.

The biographical essay on Boole in E

George Boole was born on Nov. 2, 1815, in Lincoln. He attended a primary school of the National Society and then a school for commercial subjects. This was the last of his formal schooling but not the end of his education, for he inherited a talent for self-study from his father, a shoemaker by trade but a philosopher by inclination. At the age of 16 young Boole became an assistant teacher in an elementary school. Four years later he opened his own school.

On Mar 1, 2004 Risto Vilkko published: George Boole

The English mathematician George Boole (1815-1864) invented mathematical, or symbolic, logic and uncovered the algebraic structure of deductive logic, thereby reducing it to a branch of mathematics.

From: The Life and Work of George Boole

Seventy-three years after Boole's death, an MIT student recognized the connection between electronic circuits and Boolean algebra. The student transferred two logic states to electronic circuits by assigning different voltage levels to each state. This connection was the step necessary to take Boole's theory to the practical design of computers. As a result, Boole is considered one of the founding fathers of computers and information technology.