Propositional logic explains how to work with the most basic elements of logic, propositions. A proposition is any statement that is either true or false but not both. Declarative sentences such as "The sky is blue," "I have one arm," and "1 + 1 = 3"...

Propositional logic as an elementary part of formal logic investigates the connection of simple (not analyzed) propositions to complex propositions. This connection occurs through the logical connectives such as and and or. Here it is a matter (in...

In propositional logic inference rule for implication: if the premise p implies q is true and q is false, then p is also false (notation: ¬q, p→ q¬p, read as: ‘not q. If p, then q. Therefore, not p'). For example, If Philip lives...

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In logic and mathematics, a propositional calculus (or a sentential calculus) is a formal system in which formulae representing propositions can be formed by combining atomic propositions using logical connectives, and a system of formal proof rules...

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