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Question seems self explanatory. Is there anything in mathematics that can be stated to be true without using a logical syllogism?

Had a discussion with somebody about this recently. Sorry if this is the wrong category.

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Yes, since logicians have not seriously used them for the last century or so. Syllogisms are only included in introductory courses as historical references. They are not a fundamental aspect of modern logical reasoning.

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    You are confusing Aristotle's system with the general idea of a syllogism. The hypothetical and disjunctive syllogisms are used all the time in both formal systems like natural deduction and every day mathematics. – Not_Here Mar 4 '19 at 22:14
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    @Not_Here - but the "weak point" of the question (as per the first comments above) is exactly : what does th OP is meaning with "syllogism" ? Does he conflate it (worngly) with formal logic ? – Mauro ALLEGRANZA Mar 5 '19 at 10:46

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