This content has been automatically translated from Ukrainian.
Implication <TAG1> is a logical relationship between two statements, usually written as A → B (reads: "if A, then B").
A <TAG1> condition (precondition). B <TAG1> consequence.
For example:
- If it rains (A), then the earth is wet (B).
How it works in logic
- If A is true i B is true <TAG1> the whole implication is true.
- If A is true, a B false <TAG1> implication is false (because they promised that the earth would be wet with rain and it would be dry).
- If A false <TAG1> implication is always true, regardless of B (for example: "If I'm the president of the U.S, it's Friday" – the statement is considered true because the condition is false).
Where applicable
- In mathematics and logic, – for proofs.
- In – programming to test conditions (if → then).
- In everyday life – in any causal relationship.
Briefly: implication <TAG1> is a rule that formalizes the idea of – if..., then...«.
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