In Aristotelian logic, Baralipton is a mnemonic word used to identify a form of syllogism. Specifically, the first two propositions are universal affirmative (A), and the third (conclusion) particular affirmative (I)-- hence BARALIPTON. The argument is also in the First Figure (the middle term is the subject of the first premise and the predicate of the second premise), and therefore would be found in the first portion of the full mnemonic poem.
Generally stated:
All M is P
All S is M
Therefore some P is S.
For example,
Every evil ought to be feared.
Every violent passion is an evil.
Therefore, every violent passion ought to be feared.
In traditional Aristotelian logic, Baralipton is just a weakened form of Barbara (where the conclusion is also universal affirmative: All S are P).
According to modern logic, Baralipton commits the existential fallacy.
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