A logical argument of the form:
If P, then Q.
a mode of affirming affirms.
Modus Ponens Logic:
If P, then Q
P 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 Q
Not 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 → Q
Truth Table demonstrating Modus Ponens:
How does the Modus Ponens Calculator work?
Shows modus Ponens definition and examples
What 1 formula is used for the Modus Ponens Calculator?
What 7 concepts are covered in the Modus Ponens Calculator?
- a word used to connect clauses or sentences or to coordinate words in the same clause
- a 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 otherwise
- the state or property of being equivalent.
- modus ponens
- If conditional statement if p then q
p --> q
- reverses the truth value of a given statement.
- a declarative sentence that is either true or false (but not both)
- truth table
- a 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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