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The third kind of enthymeme consists of a syllogism with a missing premise that is supplied by the audience as an unstated assumption. In the words of rhetorician William Benoit, the missing premise is: "assumed by rhetor when inventing and by audience when understanding the argument." [8] Some examples of this kind of enthymeme are as follows:
Missing premises (unstated assumptions) were to be included and indicated with an alphabetical letter instead of a number to mark them off from the explicit statements. Scriven introduced counterarguments in his diagrams, which Toulmin had defined as rebuttal. [31] This also enabled the diagramming of "balance of consideration" arguments. [32]
The assumption (unstated Claim 2) is that People are mortal). In Aristotelian rhetoric, an enthymeme is known as a "rhetorical syllogism": it mirrors the form of a syllogism, but it is based on opinion rather than fact.
Premises are sometimes left unstated, in which case, they are called missing premises, for example: Socrates is mortal because all men are mortal. It is evident that a tacitly understood claim is that Socrates is a man. The fully expressed reasoning is thus: Because all men are mortal and Socrates is a man, Socrates is mortal.
Unstated assumption This technique is used when the propaganda concept would seem less credible if explicitly stated. The concept is instead repeatedly assumed or ...
[4] [5] For a given simple argument, if the assumption is made that its premises are correct, fault may be found in the progression from these to the conclusion of the argument. This can often take the form of an unstated co-premise, [6] as in begging the question. In other words, it may be necessary to make an assumption in order to conclude ...
Euclid's proofs are essentially correct, but strictly speaking sometimes contain gaps because he tacitly uses some unstated assumptions, such as the existence of intersection points. In 1899 David Hilbert gave a complete set of ( second order ) axioms for Euclidean geometry, called Hilbert's axioms , and between 1926 and 1959 Tarski gave some ...
Persuasive definition – purporting to use the "true" or "commonly accepted" meaning of a term while, in reality, using an uncommon or altered definition. (cf. the if-by-whiskey fallacy) Ecological fallacy – inferring about the nature of an entity based solely upon aggregate statistics collected for the group to which that entity belongs. [27]