Fundamentals of Logic: Principles and Applications
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Principles of Logic
Principle of Identity
An object is the same as itself: A is A → A = A.
Principle of Contradiction
Nothing can both be and not be in the same sense at the same time. Contradictory statements cannot both be true: Nothing can be A and not A → ¬(A ∧ ¬A).
Principle of Excluded Middle
Everything must either be or not be. Every statement must be either true or false: Everything is A or not A → A ∨ ¬A.
Logical Paradoxes, Fallacies, and Invalid Arguments
Consider the statement: "This statement is false." This proposition creates a paradox. If we assume it's true, then its content declares it false. Conversely, if we assume it's false, then its content implies it's true. This self-contradictory statement challenges basic logical... Continue reading "Fundamentals of Logic: Principles and Applications" »