Modus ponendo tollens

Modus ponendo tollens (Latin: "mode that by affirming, denies") is a valid rule of inference for propositional logic, sometimes abbreviated MPT. It is closely related to modus ponens and modus tollens. It is usually described as having the form: 1. * Not both A and B 2. * A 3. * Therefore, not B For example: 1. * Ann and Bill cannot both win the race. 2. * Ann won the race. 3. * Therefore, Bill cannot have won the race. In logic notation this can be represented as: 1. * 2. * 3. * 1. * 2. * 3. *

Modus ponendo tollens

Modus ponendo tollens (Latin: "mode that by affirming, denies") is a valid rule of inference for propositional logic, sometimes abbreviated MPT. It is closely related to modus ponens and modus tollens. It is usually described as having the form: 1. * Not both A and B 2. * A 3. * Therefore, not B For example: 1. * Ann and Bill cannot both win the race. 2. * Ann won the race. 3. * Therefore, Bill cannot have won the race. In logic notation this can be represented as: 1. * 2. * 3. * 1. * 2. * 3. *