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Pizzi and Williamson also show that in any normal system of consequential logic that contains BT, the formula (A → B) ≡ (A ≡ B) is provable if (A → B) ⊃ (A ⊃ B) is provable, in other words, consequential implication collapses into classical equivalence if (A → B) ⊃ (A ⊃ B) is provable.
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Yet as we proceed from puzzle to puzzle, encounter to encounter, the logic is less consequential than simply sequential.
If you're a true believer in the logic of appropriateness, the consequential reason is simply one of those sets of rules.
The logic that says a president shouldn't be allowed to make a consequential appointment in his final year would seem to indicate those "lame duck" senators shouldn't be allowed to cast consequential votes.
Therefore, when you follow the logic of appropriateness, you are following the rules that have evolved in a consequential way.
But consequential?
On subjects consequential or otherwise, Mr.
Consequential amendments to other provisions.
Other anachronisms are more consequential.
"This election is so consequential".
Sheer size made Woodstock consequential.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com