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A syllogism (Ancient Greek: συλλογισμός, syllogismos, 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true.
The politician's syllogism similarly says nothing about all known "somethings" that could be done. As is common with fallacious undistributed middle arguments, it can also be seen as the fallacy of affirming the consequent when restated as an equivalent hypothetical syllogism: [5] To improve things, things must change. We are changing things.
Depending on the position of the middle term, Aristotle divides the syllogism into three kinds: syllogism in the first, second, and third figure. [14] If the Middle Term is subject of one premise and predicate of the other, the premises are in the First Figure. If the Middle Term is predicate of both premises, the premises are in the Second Figure.
The history of logic deals with the study of the development of the science of valid inference ().Formal logics developed in ancient times in India, China, and Greece.Greek methods, particularly Aristotelian logic (or term logic) as found in the Organon, found wide application and acceptance in Western science and mathematics for millennia. [1]
The other, the third thema, was a cut rule by which chain syllogisms could be reduced to simple syllogisms. The importance of these rules is not altogether clear. [54] In the 2nd-century BCE Antipater of Tarsus is said to have introduced a simpler method involving the use of fewer themata, although few details survive concerning this. [54]
Example of an early argument map, from Richard Whately's Elements of Logic (1852 edition). Argumentation theory is the interdisciplinary study of how conclusions can be supported or undermined by premises through logical reasoning.
Often an argument is invalid or weak because there is a missing premise—the supply of which would make it valid or strong. This is referred to as an elliptical or enthymematic argument (see also Enthymeme § Syllogism with an unstated premise). Speakers and writers will often leave out a necessary premise in their reasoning if it is widely ...
At present, syllogism is used exclusively as the method used to reach a conclusion closely resembling the "syllogisms" of traditional logic texts: two premises followed by a conclusion each of which is a categorical sentence containing all together three terms, two extremes which appear in the conclusion and one middle term which appears in ...