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welcome to fast philosophy this video is part of our translating into propositional logic series and explains how to translate natural language propositions and the gated propositions into formal italic formula and negated formulas the simplest translation is to translate a single natural language proposition into your formal Atomics formula for example Socrates likes pineapple is a single proposition in natural language so using a key to show what sentence letter represents the single proposition is translated as an atomic formula Socrates likes pineapple and quince is not a single proposition the natural language sentence expresses two propositions the Socrates likes pineapple and the Socrates like screen so using a key we can translate the natural language sentence into two atomic formulas and then connect them using the carrot which stands for and more on the currents in a later video the point is that any sentence containing a docHub cannot be an atomic formula atomic formulas