Invalid (true premises, true conclusion)

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The conclusion is actually true but this fact does NOT follow from the claim that the premises are true. We can imagine a fantasy in which the premises are true but the conclusion is still false.

Consider:

--or--

All three sentences are true in the actual world but it is easy to imagine that the conclusion is false.

For either example, the logic is invalid but the premises are true. Nevertheless, the conclusion is true. Invalidity is a no guarantee of a true conclusion when the premises are true. True premises can lead to either a true or a false conclusion in an invalid argument. In these examples, luck rather than logic led to the true conclusion.