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"a valid deduction" is a correct and commonly used phrase in written English
It can be used to refer to a conclusion or inference that is logically sound and supported by evidence or reasoning. Example: The detective's deduction that the suspect was at the scene of the crime was proven to be a valid deduction when the surveillance footage placed him at the location during the time of the incident.
Exact(4)
Sign-arguments of type (i) and (iii) can always be refuted, even if the premises are true; that is to say that they do not include a valid deduction (sullogismos); Aristotle calls them asullogistos (non-deductive).
The fallacious enthymeme pretends to include a valid deduction, while it actually rests on a fallacious inference.
But if the latter interpretation (which has a parallel in An. post. 87b23 25) is correct, an enthymeme whose premises and conclusion are for the most part true would still be a valid deduction.
The decidability result provides an algorithm which when applied to a (finite) sequence of sentences decides in finitely many steps whether the sequence is a valid proof of its last member or is a valid deduction of a given conclusion from given premises.
Similar(56)
In the end, she estimates that she lost $50,000 in "absolutely valid" deductions that her company should have taken but did not know about because her accountant never inquired about them.
The IRS is now asking for such paperwork in "correspondence audits" and then denying otherwise valid deductions because of missing or untimely paperwork.
Now, if some sign-enthymemes are valid deductions and some are not, it is tempting to ask whether Aristotle regarded the non-necessary sign-enthymemes as apparent or fallacious arguments.
We show that valid deductions about metabolism, physical and mental states of long dead individuals can be made from archived hair by appropriate modeling.
The reason is that both Wajsberg and Parry derived in system S3 – in its 1918 axiomatization – the following theorem: (p⇒q)⇒((q⇒r)⇒(p⇒r)), which according to Lewis ought not to be regarded as a valid principle of deduction.
A deduction is minimally a valid syllogism, and certainly science must employ arguments passing this threshold.
Theoretical analysis and the mathematical deduction show that the proposed scheme is a valid and simple implementation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com