Benjamin Peirce (nonfiction): Difference between revisions
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
[[File:Benjamin Peirce.jpg|thumb|Benjamin Peirce (1870s).]]'''Benjamin Peirce''' (/ˈpɜːrs/;) FRSFor HFRSE April 4, 1809 – October 6, 1880) was an American [[Mathematician (nonfiction)|mathematician]] who taught at Harvard University for approximately 50 years. He made contributions to celestial mechanics, [[Statistics (nonfiction)|statistics]], [[Number theory (nonfiction)|number theory]], [[Algebra (nonfiction)|algebra]], and the [[Philosophy of mathematics (nonfiction)|philosophy of mathematics]]. | [[File:Benjamin Peirce.jpg|thumb|Benjamin Peirce (1870s).]]'''Benjamin Peirce''' (/ˈpɜːrs/;) FRSFor HFRSE April 4, 1809 – October 6, 1880) was an American [[Mathematician (nonfiction)|mathematician]] who taught at Harvard University for approximately 50 years. He made contributions to celestial mechanics, [[Statistics (nonfiction)|statistics]], [[Number theory (nonfiction)|number theory]], [[Algebra (nonfiction)|algebra]], and the [[Philosophy of mathematics (nonfiction)|philosophy of mathematics]]. | ||
Early Life | == Early Life == | ||
He was born in Salem, Massachusetts, the son of Benjamin Peirce (1778–1831), later librarian of Harvard, and Lydia Ropes Nichols Peirce (1781–1868). | He was born in Salem, Massachusetts, the son of Benjamin Peirce (1778–1831), later librarian of Harvard, and Lydia Ropes Nichols Peirce (1781–1868). | ||
| Line 7: | Line 7: | ||
After graduating from Harvard University in 1829, he remained as a tutor, 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. He was elected a Foreign Member of the Royal Society of London in 1852. | After graduating from Harvard University in 1829, he remained as a tutor, 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. He was elected a Foreign Member of the Royal Society of London in 1852. | ||
Mathematics | === Mathematics === | ||
In [[Number theory (nonfiction)|number theory]], he proved there is no odd perfect number with fewer than four prime factors. | In [[Number theory (nonfiction)|number theory]], he proved there is no odd perfect number with fewer than four prime factors. | ||
| Line 15: | Line 15: | ||
In the [[Philosophy of mathematics (nonfiction)|philosophy of mathematics]], he became known for the statement that "Mathematics is the science that draws necessary conclusions". Peirce's definition of mathematics was credited by his son, Charles Sanders Peirce, as helping to initiate the consequence-oriented philosophy of pragmatism. Like [[George Boole (nonfiction)|George Boole]], Peirce believed that mathematics could be used to study logic. These ideas were further developed by son Charles , who noted that logic also includes the study of faulty reasoning. In contrast, the later logicist program of [[Gottlob Frege (nonfiction)|Gottlob Frege]] and [[Bertrand Russell (nonfiction)|Bertrand Russell]] attempted to base mathematics on logic. | In the [[Philosophy of mathematics (nonfiction)|philosophy of mathematics]], he became known for the statement that "Mathematics is the science that draws necessary conclusions". Peirce's definition of mathematics was credited by his son, Charles Sanders Peirce, as helping to initiate the consequence-oriented philosophy of pragmatism. Like [[George Boole (nonfiction)|George Boole]], Peirce believed that mathematics could be used to study logic. These ideas were further developed by son Charles , who noted that logic also includes the study of faulty reasoning. In contrast, the later logicist program of [[Gottlob Frege (nonfiction)|Gottlob Frege]] and [[Bertrand Russell (nonfiction)|Bertrand Russell]] attempted to base mathematics on logic. | ||
Statistics | === Statistics === | ||
Peirce proposed what came to be known as Peirce's Criterion for the statistical treatment of outliers, that is, of apparently extreme observations. His ideas were further developed by his son Charles. | Peirce proposed what came to be known as Peirce's Criterion for the statistical treatment of outliers, that is, of apparently extreme observations. His ideas were further developed by his son Charles. | ||
| Line 21: | Line 21: | ||
Peirce was an expert witness in the Howland will forgery trial, where he was assisted by his son Charles. Their analysis of the questioned signature showed that it resembled another particular handwriting example so closely that the chances of such a match were statistically extremely remote. | Peirce was an expert witness in the Howland will forgery trial, where he was assisted by his son Charles. Their analysis of the questioned signature showed that it resembled another particular handwriting example so closely that the chances of such a match were statistically extremely remote. | ||
Private life | == Private life == | ||
He was devoutly religious, though he seldom published his theological thoughts. Peirce credited God as shaping nature in ways that account for the efficacy of pure mathematics in describing empirical phenomena. Peirce viewed "mathematics as study of God's work by God's creatures", according to an encyclopedia. | He was devoutly religious, though he seldom published his theological thoughts. Peirce credited God as shaping nature in ways that account for the efficacy of pure mathematics in describing empirical phenomena. Peirce viewed "mathematics as study of God's work by God's creatures", according to an encyclopedia. | ||
Legacy | == Legacy == | ||
Benjamin Peirce is often regarded as the earliest American scientist whose research was recognized as world class. | Benjamin Peirce is often regarded as the earliest American scientist whose research was recognized as world class. | ||
| Line 34: | Line 34: | ||
<gallery> | <gallery> | ||
File:Benjamin_Peirce_(1857).jpg|Benjamin Peirce (1857). | |||
</gallery> | </gallery> | ||
| Line 56: | Line 57: | ||
* [[Statistics (nonfiction)]] | * [[Statistics (nonfiction)]] | ||
External links | == External links == | ||
* [https://en.wikipedia.org/wiki/Benjamin_Peirce Benjamin Peirce] @ Wikipedia | * [https://en.wikipedia.org/wiki/Benjamin_Peirce Benjamin Peirce] @ Wikipedia | ||
Revision as of 00:41, 6 October 2020
Benjamin Peirce (/ˈpɜːrs/;) FRSFor HFRSE April 4, 1809 – October 6, 1880) was an American mathematician who taught at Harvard University for approximately 50 years. He made contributions to celestial mechanics, statistics, number theory, algebra, and the philosophy of mathematics.
Early Life
He was born in Salem, Massachusetts, the son of Benjamin Peirce (1778–1831), later librarian of Harvard, and Lydia Ropes Nichols Peirce (1781–1868).
After graduating from Harvard University in 1829, he remained as a tutor, 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. He was elected a Foreign Member of the Royal Society of London in 1852.
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 algebras. He first introduced the terms idempotent and nilpotent in 1870 to describe elements of these algebras, and he also introduced the Peirce decomposition.
In the philosophy of mathematics, he became known for the statement that "Mathematics is the science that draws necessary conclusions". Peirce's definition of mathematics was credited by his son, Charles Sanders Peirce, as helping to initiate the consequence-oriented philosophy of pragmatism. Like George Boole, Peirce believed that mathematics could be used to study logic. These ideas were further developed by son Charles , 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.
Statistics
Peirce proposed what came to be known as Peirce's Criterion for the statistical treatment of outliers, that is, of apparently extreme observations. His ideas were further developed by his son Charles.
Peirce was an expert witness in the Howland will forgery trial, where he was assisted by his son Charles. Their analysis of the questioned signature showed that it resembled another particular handwriting example so closely that the chances of such a match were statistically extremely remote.
Private life
He was devoutly religious, though he seldom published his theological thoughts. Peirce credited God as shaping nature in ways that account for the efficacy of pure mathematics in describing empirical phenomena. Peirce viewed "mathematics as study of God's work by God's creatures", according to an encyclopedia.
Legacy
Benjamin Peirce is often regarded as the earliest American scientist whose research was recognized as world class.
He was an apologist for slavery, opining that it should be condoned if it was used to allow an elite to pursue scientific inquiry.
In the News
Benjamin Peirce (1857).
.jpg)
Fiction cross-reference
Nonfiction cross-reference
- Algebra (nonfiction)
- George Boole (nonfiction)
- Gottlob Frege (nonfiction)
- Mathematician (nonfiction)
- Mathematics (nonfiction)
- Number theory (nonfiction)
- Philosophy of mathematics (nonfiction)
- Bertrand Russell (nonfiction)
- Statistics (nonfiction)
External links
- Benjamin Peirce @ Wikipedia