Editing Propositional Logic (section)

== <span style="color: #FFFFFF;">Applying</span> ==
'''Modeling 'The Logic Gate' (Simulating a digital circuit):'''
<syntaxhighlight lang="python">
def logic_gate(p, q, gate_type):
    """
    Simulates the core logical connectives.
    """
    if gate_type == "AND":
        return p and q
    elif gate_type == "OR":
        return p or q
    elif gate_type == "XOR": # Exclusive OR (One or the other, but not both)
        return p != q
    elif gate_type == "IF_THEN":
        return not p or q # Logical equivalent of P -> Q
        
    return None

# P: True (User is logged in) | Q: False (User has paid)
# Gate: AND (Allow access?)
print(f"Access Granted: {logic_gate(True, False, 'AND')}")
# Gate: IF_THEN (If logged in, then show profile?)
print(f"Show Profile: {logic_gate(True, True, 'IF_THEN')}")
</syntaxhighlight>

; Logic Landmarks
: '''The Organon (350 BC)''' → Aristotle's collection of works that defined the first rules of logic (Syllogisms), which ruled the world for 2,000 years.
: '''The Laws of Thought (1854)''' → George Boole's book that "Algebraized" logic, showing that you can treat True/False just like 1/0. This is why we call it "Boolean Logic."
: '''Shannon’s Thesis (1937)''' → Claude Shannon's discovery that you can build "Boolean Logic" using electrical switches (Relays), launching the computer age.
: '''Wittgenstein’s Tractatus (1921)''' → The book that introduced "Truth Tables" as a way to solve all the problems of philosophy through pure logic.
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