Mathematician:George Boole

Mathematician

Irish mathematician famous for his work in the mathematization of logic, and the invention of what is now called Boolean algebra.

Nationality

Irish

History

• Born: 2 Nov 1815, Lincoln, Lincolnshire, England
• Died: 8 Dec 1864, Ballintemple, County Cork, Ireland

Theorems and Definitions

• Boole's Inequality
• Boolean Algebra

Many mathematical objects have been named after Boole.

However, most were not invented or discovered by him directly, but were derived from the algebra that he did pioneer:

• Boolean Domain

• Boolean Function
  • Singular Boolean Function

• Boolean Group
• Boolean Interpretation
• Boolean Lattice
• Boolean Ring
• Boolean Variable

Results named for George Boole can be found here.

Definitions of concepts named for George Boole can be found here.

Publications

• 1842: On a general method of analysis (published 1844)
• 1847: The Mathematical Analysis of Logic
• 1854: An Investigation of the Laws of Thought
• 1859: Treatise on Differential Equations

• 1860: Treatise on the Calculus of Finite Differences
  • 1872: Treatise on the Calculus of Finite Differences (2nd Ed.)

Sources

• John J. O'Connor and Edmund F. Robertson: "George Boole": MacTutor History of Mathematics archive

• 1937: Eric Temple Bell: Men of Mathematics: Chapter $\text{XXIII}$
• 1946: Alfred Tarski: Introduction to Logic and to the Methodology of Deductive Sciences (2nd ed.) ... (previous) ... (next): $\S \text{II}.6$: Logical Constants (footnote)
• 1951: Willard Van Orman Quine: Mathematical Logic (revised ed.) ... (previous) ... (next): Introduction
• 1959: A.H. Basson and D.J. O'Connor: Introduction to Symbolic Logic (3rd ed.) ... (previous) ... (next): Chapter $\text I$ Introductory: $1$. Symbolic Logic and Classical Logic
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Boole, George (1815-64)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Boole, George (1815-64)
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Boole, George (1815-64)