poly syllogistic


noun Logic.
an argument made up of a chain of syllogisms, the conclusion of each being a premise of the one following, until the last one.

1830–40; poly- + syllogism

polysyllogistic, adjective
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World English Dictionary
polysyllogism (ˌpɒlɪˈsɪləˌdʒɪzəm)
a chain of syllogisms in which the conclusion of one syllogism serves as a premise for the next

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