Heres knowledge they withheld from the education system.
🧵 How computers trace back to George Boole’s 19th-century work on human logic & propositions. A deep dive into binary roots with 1s and 0s. Let’s break it down step by step!
#TechHistory #BooleanAlgebra
1/ George Boole, an English mathematician/logician, pioneered formalizing “laws of thought”—how humans reason & evaluate propositions (true/false statements). His 1854 book An Investigation of the Laws of Thought introduced Boolean algebra, turning logic into math.
2/ Boole studied propositions: declarative statements like “It is raining” (true or false, no gray areas). Human reasoning combines them via AND, OR, NOT. E.g., “Raining AND have umbrella” is true only if both are.
He assigned variables (x = raining, y = umbrella) & used algebra: AND as multiplication (x*y=1 if both true), OR as addition (with tweaks), NOT as 1-x.
3/ Key: It’s binary! True = 1 (affirmation, “on”), False = 0 (negation, “off”). Why? Simplifies logic to two states, like human binary decisions (guilty/not).
Truth table for AND:
•1 AND 1 = 1
•1 AND 0 = 0
•0 AND 1 = 0
•0 AND 0 = 0
All ops restricted to 0/1—no fractions. Makes reasoning calculable!
4/ Boole’s ideas weren’t for machines initially. In 1930s, Claude Shannon applied them to electrical circuits: Closed switch = 1 (current flows), Open = 0.
Gates: AND (series), OR (parallel), NOT (inverter). This enabled digital logic in early computers like ENIAC, building on Babbage’s concepts.
5/ Evolution to modern tech: Binary is core—data as 1s/0s (e.g., “A” = 01000001). CPUs use transistor gates for Boolean ops. Programming (if statements) reduces to this. AI extends it.
Without Boole, we’d lack digital precision!
Summary: Boole turned propositional logic into binary algebra (1=true/on, 0=false/off), paving way for circuits that “think.” From abstract math to your phone! Questions?
#Computing #Logic