Absorption / modus tollens / modus ponendo tollens
Negation introduction
Rules of replacement
Associativity
Commutativity
Distributivity
Double negation
De Morgan's laws
Transposition
Material implication
Exportation
Tautology
Predicate logic
Rules of inference
Universal generalization / instantiation
Existential generalization / instantiation
In classical logic, disjunctive syllogism[1][2] (historically known as modus tollendo ponens (MTP),[3] Latin for "mode that affirms by denying")[4] is a valid argument form which is a syllogism having a disjunctive statement for one of its premises.[5][6]
An example in English:
I will choose soup or I will choose salad.
I will not choose soup.
Therefore, I will choose salad.
^Copi, Irving M.; Cohen, Carl (2005). Introduction to Logic. Prentice Hall. p. 362.
^Hurley, Patrick (1991). A Concise Introduction to Logic 4th edition. Wadsworth Publishing. pp. 320–1. ISBN 9780534145156.
^Lemmon, Edward John. 2001. Beginning Logic. Taylor and Francis/CRC Press, p. 61.
^Stone, Jon R. (1996). Latin for the Illiterati: Exorcizing the Ghosts of a Dead Language. London: Routledge. p. 60. ISBN 0-415-91775-1.
^Hurley
^Copi and Cohen
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