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In English grammar, is a mathematical expression considered a clause or a noun phrase?

When I read the mathematical proof, I find that it is not uniform for authors to treat the mathematical expression.

e.g., (1) That "$x>2$" implies that "$y>2$".

(2) "$x>2$" implies "$y>2$".

In (1), the mathematical expression is considered a clause, while in (2), the mathematical expression is considered a noun.
Which one is right?

Prem
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magpie
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    There is no right or wrong here : It is a "Stylistic Choice" : Check out "Mathematical Writing" by Donald E. Knuth, Tracy Larrabee, and Paul M. Roberts. – Prem Jan 23 '24 at 08:51
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    I would argue the only nouns are variables and constants above, whereas the premise and antecedents are clauses with a connective in between. – Kevin Jan 23 '24 at 09:29
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    The version (1) is just acceptable, but I find (2) better. Taking the bad priniple that math notation just abbreviates english language to the worst extreme leads to "sentences" like "How does $A=B?$" which you can find frequently on MSE. – Kurt G. Jan 23 '24 at 14:55
  • Thanks for all the comments. They are very useful for people who are puzzled about this, like me... – magpie Jan 29 '24 at 00:45

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