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Truth and Semantics
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== <span style="color: #FFFFFF;">Applying</span> == '''Modeling 'The Truth Condition' (Mapping a sentence to its requirements):''' <syntaxhighlight lang="python"> def verify_truth(sentence, world_state): """ Simulates Truth-Conditional Semantics. """ # Sentence: "The light is ON" # Logic: True if state['light'] == 1 if sentence == "Light is ON": condition = (world_state["light"] == 1) elif sentence == "Door is CLOSED": condition = (world_state["door"] == 0) else: condition = False if condition: return f"Sentence '{sentence}' is TRUE (Matches the World)" else: return f"Sentence '{sentence}' is FALSE (World does not match)" # World: Light is on, Door is open. current_world = {"light": 1, "door": 1} print(verify_truth("Light is ON", current_world)) </syntaxhighlight> ; Truth Landmarks : '''Tarski’s 'The Concept of Truth in Formalized Languages' (1933)''' → The most important paper in the history of semantics. : '''Wittgenstein’s 'Tractatus' (1921)''' → The "Picture Theory of Language": the idea that a sentence is a "Map" or "Picture" of a fact in the world. : '''Quine’s 'Two Dogmas of Empiricism' (1951)''' → Challenged the "Analytical/Synthetic" distinction, arguing that our "Whole Web of Belief" is tested against the world together. : '''Model Theory''' → The branch of math that uses Tarski's logic to "Build worlds" (Models) where certain "Sentences" are true, used in AI and Software Engineering. </div> <div style="background-color: #8B4500; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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