Boole

The Mathematical Analysis of Logic (1847): His first monograph, which introduced the idea of representing logic through algebra.

: 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. The Mathematical Analysis of Logic (1847): His first

: He spent years running his own schools before being appointed the first Professor of Mathematics at Queen’s College in Cork, Ireland, in 1849—despite never having attended university himself. : He spent years running his own schools

: Born into a modest family in Lincoln, England, Boole received little formal schooling and largely taught himself advanced mathematics and foreign languages like French, German, and Italian. : He defined the basic operations that allow

: In 1937, Claude Shannon demonstrated that Boole's algebra could be used to design electronic circuits, linking symbolic logic directly to hardware.

: He defined the basic operations that allow us to combine or exclude concepts: AND (multiplication), OR (addition), and NOT (subtraction). Modern Legacy

: 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