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(The inference from 'By definition, God is an existent being' to 'God exists' is patently invalid; while the inference to 'By definition, God exists' is valid, but uninteresting.
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Kaplan holds that since 'I exist' is valid, one could know a priori the proposition that it expresses, in a context.
Following the standard approach, we assume that the conditions for which a non-degenerate limit distribution of M n exists are truly valid.
To sue someone for breach of contract, you must first prove that the contract existed and was valid.
It isn't the job of judges, executives and lawmakers to decide whether a certain god exists or a religious belief is valid, and there are no grounds for imposing a particular religion upon the populace at large.
Then there exists from such that (3.16). is valid, provided that all denominators are not zero.
Moreover, if condition is valid, then there exists exactly one solution of (1.2) with.
This spectral representation is valid provided there exists M > 0 such that ∥∑i = 1NPi ∥ ⩽ M, N = 1, 2, …, and generalizes results that apply to self-adjoint, normal, and spectral operators.
along any discontinuous line (x=x t)) the entropy condition (2.2) is valid and there exists a (1le kle2K) such that (u(x^,t), u(x^,t in (b_{k-1},a_{k})).
Yes, I do hold my tongue often in social situations, but that is quite challenging since most people spend their lives in the actual realm of "opinion," as it is commonly used to suggest that no evidence exists to confirm if that "opinion" is valid or not.
This function is valid over the whole temperature range where the short range order 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