The phrase "English interpretation" is correct and usable in written English.
You can use it when referring to the act of explaining or translating something into English.
Example: "The English interpretation of the poem captures its essence beautifully."
Alternatives: "English translation" or "English rendering".
(English interpretation: I have a picture of you with me, ohh whoa ohh oh, which I kiss every night before I go to bed, ohh whoa ohh oh, its semi ripped and its fading, ohh whoa ohh oh, so many tears I'm shedding, ohh whoa ohh oh).
One is an English interpretation by David Greenspan and features six Western actors.
This description highlights two immediate differences between the model-theoretic interpretation and the ordinary English interpretation.
The answer is that there is a dangerous ambiguity in the English interpretation of A→□◊A.
On its ordinary English interpretation, this sentence says that R contains all the real numbers.
On the ordinary English interpretation of Ω(mˆ), the quantifiers "see" these bijections, and so Ω(mˆ) comes out false.
"You could say they're whingeing or you could say what you like but the bottom line is they were playing under an English referee and under English interpretations," he said.
In this case, then, differences in the ways the model-theoretic and ordinary English interpretations of Ω x) handle the quantifiers provide a perfectly natural explanation of what's going on in Skolem's Paradox.
First, it ensures that the model-theoretic and the ordinary English interpretations of Ω x) agree on the interpretation of "∈": for m1, m2 ∈ M, M ⊨ m1 ∈ m2 if and only if m1 really is a member of m2.[21] In this case, therefore, the explanation of Skolem's Paradox has to involve the interpretation of the quantifiers.
First, in order to get a better feel for how the differences between the model-theoretic and the ordinary English interpretations of Ω x) actually give rise to Skolem's Paradox, it's worth tracking these differences through a slightly more refined version of the paradox.
Both of us have witnessed awkward, stilted courtroom exchanges in Los Angeles, southern Arizona, New York and Connecticut in which Spanish-English interpretation was so slow and confused that nobody knew how to proceed fairly.
