Boole
An Investigation of the Laws of Thought (1854): His most influential work, where he explored the fundamental laws of human reasoning. The Law of
: Boole proposed that in his system, a class multiplied by itself is equal to itself (e.g., the class of "white sheep" intersected with the class of "white sheep" is still just "white sheep"). He noted that in numerical algebra, this law is only true for the numbers 0 and 1, which corresponds to the binary "True/False" logic used today. An Investigation of the Laws of Thought (1854):
: In 1937, Claude Shannon demonstrated that Boole's algebra could be used to design electronic circuits, linking symbolic logic directly to hardware. : In 1937, Claude Shannon demonstrated that Boole's
: Today, "Booleans" are a fundamental data type in virtually every programming language, and Boolean logic powers everything from database searches to the decision-making processes of smartphones and laptops. George Boole: A 200-Year View - Stephen Wolfram Writings Mathematical and Logical Contributions : He defined the
: Boole died at the young age of 49 after walking two miles in a rainstorm to give a lecture and subsequently teaching in his wet clothes, which led to a fatal case of pneumonia. Mathematical and Logical Contributions
: He defined the basic operations that allow us to combine or exclude concepts: AND (multiplication), OR (addition), and NOT (subtraction). Modern Legacy
The Mathematical Analysis of Logic (1847): His first monograph, which introduced the idea of representing logic through algebra.