the.com/symbolic logic
math for arguments — where words become symbols so bullshit has nowhere left to hide.
means a system that replaces everyday language with precise symbols and rules so you can test whether reasoning actually holds up.
from boole and frege in the 1800s got tired of philosophers arguing in circles, so they built an algebra for thought itself — turning and, or, not, and if-then into operators you could compute with.
boole's insighttreated true and false as 1 and 0
frege's leapinvented quantifiers, the for-all and there-exists symbols
godel's bombshellproved some truths can't be proven within the system
powers computersevery circuit is symbolic logic wired into silicon
for instance
principia mathematica — russell and whitehead, 1910, 379 pages to prove 1+1=2
boolean algebra — runs every logic gate in every processor since the 1950s
propositional calculus — the intro course version, taught in cs and philosophy departments worldwide