Modus Ponens
A logical argument of the form:If P, then Q.
Latin:
a mode of affirming affirms.
Modus Ponens Logic:
If P, then QP is true
Therefore Q is true
P = antecedent and Q = consequent.
If antecedent = true, consequence = true.
Modus Ponens Example:
If it is Monday, John has to work.Today is Monday.
Therefore, John has to work
Modus Ponens Negation Logic:
If Not P, then Not QNot P is true
Therefore Not Q is true
Using if A, then B, we have:
A = Not P and B = Not Q
Modus Ponens Negation Example:
If it is not a weekend:John does not have to work.
Today is not a weekend.
Therefore, John does not have to work
Modus Ponens Notation:
P → QTruth Table demonstrating Modus Ponens:
| P | Q | P → Q |
|---|---|---|
| T | T | T |
| T | F | F |
| F | T | T |
| F | F | T |
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Free Modus Ponens Calculator - Shows modus Ponens definition and examples
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What 7 concepts are covered in the Modus Ponens Calculator?
conjunctiona word used to connect clauses or sentences or to coordinate words in the same clausedisjunctiona binary connective classically interpreted as a truth function the output of which is true if at least one of the input sentences (disjuncts) is true, and false otherwiseequivalencethe state or property of being equivalent.modus ponensIf conditional statement if p then qp --> qnegationreverses the truth value of a given statement.
~propositiona declarative sentence that is either true or false (but not both)truth tablea table that shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it is constructed.
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