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Benjamin Peirce

Benjamin Peirce
( purse , (April 4, 1809 – October 6, 1880) was an [American] [mathematician] who taught at [Harvard University] for about fifty years. He made contributions to [celestial mechanics] , [statistics] , [number theory] , [algebra] , and the [philosophy of mathematics] .

After graduating from Harvard, he remained as a [tutor] (1829), and was subsequently appointed [professor] of mathematics in 1831. He added [astronomy] to his portfolio in 1842, and remained as Harvard professor until his death. In addition, he was instrumental in the development of Harvard's science [curriculum] , served as the college [librarian] , and was director of the [U.S. Coast Survey] from 1867 to 1874.

Research
Benjamin Peirce is often regarded as the earliest scientist of the United States, whose research was recognized as world class.

Mathematics
In number theory, he proved there is no odd [perfect number] with fewer than four [prime] factors.

In algebra, he was notable for the study of [associative algebra] s. He first introduced the terms [idempotent] and [nilpotent] in 1870 to describe elements of these algebras, and he also introduced the [Peirce decomposition] .

Definition of mathematics

In the philosophy of mathematics, he became known for the statement that "Mathematics is the science that draws necessary conclusions",. Benjamin Peirce's definition of mathematics was credited by [Charles Sanders Peirce] as helping to initiate the consequentialist philosophy of [pragmatism] .

Like [George Boole] , Benjamin Peirce believe that mathematics could be used to study [logic] . These ideas were developed by [Charles Sanders Peirce] , who noted that logic also includes the study of faulty reasoning.

In contrast, the later logicist program of [Gottlob Frege] and [Bertrand Russell] attempted to base mathematics on logic.

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