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It is not the case that A deduction is a valid or acceptable argument whose structure guarantees its validity irrespective of the truth or falsity of its premises
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Reasons For
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Reason for 1 of 2
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1.
For Aristotle, a genuine syllogism requires premises that are true, primary, and better known than the conclusion (Posterior Analytics I.2).
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2.
An argument from false premises cannot constitute scientific knowledge (episteme), which is the telos of Aristotelian demonstration.
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3.
Therefore, structural validity alone is insufficient for Aristotelian deduction in its primary sense, which is inseparable from truth conditions.
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Reason for 2 of 2
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1.
Relevance logicians (Anderson and Belnap) argue that validity requires the premises to be genuinely relevant to the conclusion, not merely formally connected.
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2.
An argument whose validity is purely structural permits paradoxes of material implication, where false premises entail any conclusion whatsoever.
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3.
A deduction whose structure 'guarantees validity' regardless of content violates the intuition that logical consequence tracks real inferential dependence.
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Reasons Against
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Reason against
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1.
A deduction is an argument in which when certain things are laid down something else follows of necessity in virtue of their being so
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2.
The structure of a deduction guarantees its validity regardless of whether the premises are true or false
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