Propositional Logic

Propositional logic is like building a sentence using math symbols. Instead of words, we use letters like P and Q connected with if-then. For example: If it is Saturday (P), then I sleep late (Q). This helps us look at the structure of what people say to see if it makes sense, regardless of what they are talking about. It is like looking at the skeleton of an argument to see if it is strong enough to hold the weight of truth.

Strip away the words. Look at the skeleton. If the structure holds, the truth holds. Form over content.

Propositional (sentential) logic evaluates truth-functionality of complex statements using logical connectives. Truth tables determine validity. The gateway to Symbolic Logic: stripping natural language ambiguity to reveal raw logical mechanics underneath.

SOUND: The steady thump-thump of a heartbeat: if alive, then heart beats.

SMELL: The smell of smoke: if there is smoke, then there is fire.

TASTE: Tasting salt: if salty, then there is sodium.

TOUCH: Feeling wetness: if wet, then there is liquid.

SIGHT: Seeing a green light: if green, then go.

BODY: Feeling a tilt: if tilting, then gravity is pulling.

Music: May It Be by Enya

Propositional calculusTruth table

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Propositional Logic

The Skeleton of an Argument

Propositional logic is like building a sentence using math symbols. Instead of words, we use letters like P and Q connected with if-then. For example: If it is Saturday (P), then I sleep late (Q). This helps us look at the structure of what people say to see if it makes sense, regardless of what they are talking about. It is like looking at the skeleton of an argument to see if it is strong enough to hold the weight of truth.