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This theorem should not be too surprising.
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However note that the result on the lack of completeness stated in the previous theorem should not be confusing with the fact that pointwise convergence may occur as the following theorem reveals.
This should not be.
This should not be impossible.
This should not be neglected".
This should not be surprising.
This should not be happening".
This should not be overpowering.
This should not be tough.
This should not be expensive.
The argument is controversial since one might think that the principle (p⇒(p∨q)) should not be a theorem of a system aiming to express ordinary implication (see, e.g., Nelson 1930, 447).
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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