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When is a syllogism considered valid?

If the premises are true

If the conclusion follows logically from the premises

A syllogism is considered valid when the conclusion follows logically from the premises. This means that if the premises are true, the conclusion must also be true as a result of the logical structure of the argument. Validity is about the form of the argument, not the actual truth of the premises. If the structure is such that the conclusion can be deduced from the premises, then the syllogism holds as valid.

Regarding the other options, while having true premises is important for the argument's soundness, validity alone does not require the premises to be true. The number of premises is not a determining factor for validity; a syllogism can be valid regardless of whether it has two or more premises, as long as the logical connection between the premises and the conclusion is maintained. Similarly, a universal quantifier may enhance the precision of the argument, but it isn't a necessary condition for validity.

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If it contains at least two premises

If it has a universal quantifier

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