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The difference between grammar and logic is that the former is concerned with the perfect verbal expression of concepts, and hence is a linguistic discipline, while the latter invents second notions (notiones secundae) or second intentions, that are able to create order among concepts.
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His second notion: "You have these friends, they are the same people who do your concerts every year.
That belief feeds into a second notion, that horizontality is something that happens only at ground level.
Philip adopts the second notion of convertibility.
A second notion formalized in Stirling's theory is concordance.
In the first notion, the shadowing point is in M. In the second notion, the shadowing point is in Λ.
Notice that this second notion of compactness is weaker than the previous one.
The second notion is the one of generalized sum of two monotone operators; see [4, 5] and the references therein.
If one takes that second notion, then the possibilities for who could benefit from Facebook's travails start to get interesting.
Some scholars think that Plato needs a second notion of negation in addition to difference (understood as distinctness or non-identity), such as incompatibility, to accommodate negative predication.
If (A) is interpreted using this second notion of simulation, then (A) is true only if we do not care how close our computational approximations are.
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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