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That is, they can only reject the minor premiss of the argument as reconstructed.
If rule ⊃I is followed by ⊃E, there is a non-normality that is removed by a detour conversion: a derivation of B (and what follows after it) is constructed by taking the derivation of the minor premiss A of the elimination rule and the derivation of B from the assumption A in the introduction.
Similar(58)
So the idea underlying Gentzen's programme is that we have "definitions" in the form of introduction rules and some sort of semantic reasoning which, by using "certain requirements", validate the elimination rules. of steps, where {Di} stands for a (possibly empty) list of deductions of minor premisses, can be avoided.
Others have minor injuries.
These are minor criticisms.
It's not minor.
Tom: Very minor things.
These are minor irritants.
Women's studies minor.
There are minor problems.
These are minor complaints.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com