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What is a sorites?

What is a sorites? Here are some definitions.

Noun
  1. (logic) A series of propositions whereby each conclusion is taken as the subject of the next.
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Examples
It is often said that in order to solve the sorites paradox, some parts of classical predicate logic must be given up.
The conditional sorites is valid but unsound.
To conclude that therefore all lions are carnivores is to construct a sorites argument.
Whilst both polysyllogisms and sorites paradoxes are chain-arguments, the former need not be paradoxical in nature and the latter need not be syllogistic in form.
Yet 'careless driving' is susceptible to sorites reasoning precisely because those evaluative and contextual considerations give reason to conclude that it is careless to drive with bald tires.
The sorites uses several middle terms by which the predicate of the last proposition is connected with the first subject.

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