What is implication?
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Implication, in logic, refers to a relationship between two propositions where the truth of one proposition logically follows from the truth of another. The proposition that serves as the basis for the inference is called the "antecedent," while the proposition inferred from it is the "consequent."
Symbolically, implication is often represented by the arrow "→" (read as "implies" or "if…then"). The compound proposition "p → q" asserts that if proposition p is true, then proposition q must also be true. If p is false or q is true (or both), the implication is still considered true.
The truth table for implication is as follows:
Implication is a fundamental concept in logical reasoning and is widely used in mathematics, philosophy, and computer science. It provides a way to express conditional relationships, stating what logically follows under different circumstances.