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In fact, even that sum existed only in ink; it was nowhere to be found.
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If Socrates and wisdom exist, their mereological sum exists.
Hence, the sum exists whether it is true that Socrates is wise or not.
In short, to claim that the house is no thing other than the sum of its parts does not imply that the sum is in the state of being a house when the sum exists.
where D 00 ( A ) denotes the subspace of ω consisting of x ∈ ω for which the sum exists as a finite sum.
He thus accepts "conceptual relativity" - the view that it may be a matter of choice or convention, e.g., whether mereological sums exist, or whether space-time points are individuals or mere limits.
It is found that the combination resonance of the sum type exists in all the cases of boundary conditions considered, but the difference type exists only in the cases of clamped-simply supported and clamped-free boundary conditions.
That is, relations among lengths such as "longer than" and "sum of" exist independently of whether any objects happen to be ordered and concatenated by humans, and indeed independently of whether objects of some particular length happen to exist at all.
If the world is to meet its goals for sustainable development, traditional donors must think more globally, cooperate more closely with emerging donors and mobilise the huge sums that exist in untapped resources.
In order to deal with this double convex-sum, there exist some results called relaxations.
The integral of on is defined as the limit of the sums (if exists).
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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