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This distinction is important, because systems of logic turn out to have certain properties quite independently of any interpretations that may be placed upon them.
If you believe in what you're doing and you want to express yourself, the expression should be primary and any interpretations that come after must always remain of secondary importance to the creation of the work itself.
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"There was a lot of blood, and I think in any interpretation that was a frenzied attack," he said.
Thus, any interpretation that differed from the official one was necessarily "heretical" in the new, pejorative sense of the word.
The defined relation is simply the abstract structure, or as Hilbert puts it the "scaffolding," shared by any interpretation that will render the axioms true.
For example, any interpretation that makes '∃x Unicorn(x)' true will have some entity in its domain also be in the extension of 'Unicorn'.
It would be unfortunate if, perhaps out of an overdeveloped regard for history, one felt obliged to reject any interpretation that did not obey the letter of Kolmogorov's laws and that was thus 'inadmissible'inadmissible
Then an argument from set S of sentences to conclusion A is valid iff any interpretation that actually verifies S actually verifies A. (Here, a set S of sentences is actually verified just if all of its members are actually verified).
Certainly, we expect Russia to block any interpretation that aims to serve American and western polices".
A moment and movement so devoid of moral meaning cries out for any interpretation that doesn't blame the people who asked for it.
For these reasons, it is more likely that Descartes' reciprocity of transfer thesis is intended to counter any interpretation that regards motion as caused by a bodily property, as some Scholastics had held (such as Buridan), rather then defend relational motion (see Maier 1982 on these earlier views of motion).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com