Editing Mathematical Logic (section)

== <span style="color: #FFFFFF;">Analyzing</span> ==
{| class="wikitable"
|+ Deductive vs. Inductive Reasoning
! Feature !! Deductive (Math Logic) !! Inductive (Science)
|-
| Goal || Absolute Certainty || High Probability
|-
| Direction || General -> Specific || Specific -> General
|-
| Strength || If axioms are true, result ''must'' be true || If data is good, result is ''likely'' true
|-
| Example || All men are mortal; Socrates is a man -> Socrates is mortal || Every swan I've seen is white -> All swans are white
|}

'''The Concept of "Formal Proof Verification"''': Today, we use computers to check if a mathematical proof is correct. Instead of a human reading 500 pages of math, the logic is converted into a language like "Lean" or "Coq," and the machine verifies that every step follows the rules. Analyzing the "Automated" side of logic is a core part of modern computer science.
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