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The term dilemma is attributed by Gabriel Nuchelmans to Lorenzo Valla in the 15th century, in later versions of his logic text traditionally called Dialectica. Valla claimed that it was the appropriate Latin equivalent of the Greek dilemmaton. Nuchelmans argued that his probable source was a logic text of c. 1433 of George of Trebizond. [2]
Constructive dilemma [1] [2] [3] is a valid rule of inference of propositional logic. It is the inference that, if P implies Q and R implies S and either P or R is true, then either Q or S has to be true. In sum, if two conditionals are true and at least one of their antecedents is, then at least one of their consequents must be too.
In syllogistic logic, there are 256 possible ways to construct categorical syllogisms using the A, E, I, and O statement forms in the square of opposition. Of the 256, only 24 are valid forms. Of the 24 valid forms, 15 are unconditionally valid, and 9 are conditionally valid.
False dilemma (false dichotomy ... Kettle logic – using multiple, ... The following is a sample of books for further reading, selected for a combination of content ...
Destructive dilemma [1] [2] is the name of a valid rule of inference of propositional logic. It is the inference that, if P implies Q and R implies S and either Q is false or S is false, then either P or R must be false. In sum, if two conditionals are true, but one of their consequents is false, then one of their antecedents has to be false.
In logic, there are two main types of inferences known as dilemmas: ... The following is an example of a false dilemma with the simple constructive form: (1) "If you ...
The surprise examination and Bottle Imp paradox use similar logic. Self–reference ... Crocodile dilemma: ... For example, some unicellular organisms have genomes ...
A polysyllogism is a complex argument (also known as chain arguments of which there are four kinds: polysyllogisms, sorites, epicheirema, and dilemmas) [1] that strings together any number of propositions forming together a sequence of syllogisms such that the conclusion of each syllogism, together with the next proposition, is a premise for the next, and so on.