Definitions for modus tollens
modus tol·lens

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1. modus tollensnoun

   A valid form of argument in which the consequent of a conditional proposition is denied, thus implying the denial of the antecedent. Modus tollens has this form:

2. Etymology: From modus tollendo tollens, from modus and forms of tollo.

WikipediaRate this definition:0.0 / 0 votes

1. Modus tollens

   In propositional logic, modus tollens () (MT), also known as modus tollendo tollens (Latin for "method of removing by taking away") and denying the consequent, is a deductive argument form and a rule of inference. Modus tollens takes the form of "If P, then Q. Not Q. Therefore, not P." It is an application of the general truth that if a statement is true, then so is its contrapositive. The form shows that inference from P implies Q to the negation of Q implies the negation of P is a valid argument. The history of the inference rule modus tollens goes back to antiquity. The first to explicitly describe the argument form modus tollens was Theophrastus.Modus tollens is closely related to modus ponens. There are two similar, but invalid, forms of argument: affirming the consequent and denying the antecedent. See also contraposition and proof by contrapositive.

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1. Modus tollens

   In propositional logic, modus tollens is a valid argument form and a rule of inference. The first to explicitly state the argument form modus tollens were the Stoics. The inference rule modus tollens, also known as the law of contrapositive, validates the inference from implies and the contradictory of, to the contradictory of . The modus tollens rule can be stated formally as: where stands for "P implies Q", stands for "it is not the case that Q". Then, whenever "" and "" each appear by themselves as a line of a proof, "" can validly be placed on a subsequent line. The history of the inference rule modus tollens goes back to antiquity. Modus tollens is closely related to modus ponens. There are two similar, but invalid, argument forms known as affirming the consequent and denying the antecedent.

How to pronounce modus tollens?

1. Alex

   US English

   David

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   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

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   Australian

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   Indian

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   Neerja

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   Zira

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   British

   Wendy

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   Fred

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   Tessa

   South African

How to say modus tollens in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of modus tollens in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of modus tollens in Pythagorean Numerology is: 7

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Modus_Tollens
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Modus_Tollens
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=modus tollens