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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]
A false dilemma is an informal fallacy based on a premise that erroneously limits what options are available. [1] [2] [3] In its most simple form, called the fallacy of bifurcation, all but two alternatives are excluded.
A dilemma, which is Greek for "two premises", has been likened to the front end of an angry and charging bull. Phædrus, however, because of his training in logic, was aware that every dilemma affords not two but three classic refutations, and he also knew of a few that weren't so classic... He could take the left horn ....
Dilemma: a choice between two or more options, none of which is attractive. False dilemma: only certain choices are considered, when in fact there are others. Catch-22: a logical paradox arising from a situation in which an individual needs something that can only be acquired by not being in that very situation.
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.
Logical reasoning is a form of thinking that is concerned with arriving at a conclusion in a rigorous way. [1] This happens in the form of inferences by transforming the information present in a set of premises to reach a conclusion.
A logical operator that specifies the quantity of specimens in the domain of discourse that satisfy an open formula, such as "all", "some", or "exists". quantifier shift fallacy A logical fallacy involving the incorrect interchange of the position of two quantifiers, or a quantifier and a modal operator, leading to invalid conclusions. quantity
Formal logic has shown itself extremely useful in formalizing argumentation, philosophical reasoning, and mathematics. The discrepancy between material implication and the general conception of conditionals however is a topic of intense investigation: whether it is an inadequacy in formal logic, an ambiguity of ordinary language , or as ...