The phrase "a sufficiently formal" is correct and usable in written English.
It can be used when describing something that meets a certain level of formality required for a specific context or situation.
Example: "The invitation should be written in a sufficiently formal tone to reflect the importance of the event."
Alternatives: "adequately formal" or "appropriately formal".
If this is read arithmetically, the direction from left to right is just the formalized version of Gödel's second incompleteness theorem: if a sufficiently strong formal theory T like Peano Arithmetic does not prove a contradiction, then it is not provable in T that T does not prove a contradiction.
As a reminder, Gödel's first incompleteness theorem states that, for a sufficiently strong formal theory like Peano Arithmetic, any sentence asserting its own unprovability is in fact unprovable.
The logical language of propositional provability logic contains, in addition to propositional atoms and the usual truth-functional operators as well as the contradiction symbol ⊥, a modal operator □ with intended meaning "is provable in T," where T is a sufficiently strong formal theory, let us say Peano Arithmetic (see Section 4).
By gathering enough MEPs from a sufficiently wide range of countries, any group can gain formal recognition – and in doing so unlock committee roles, delegation trips around the world and millions upon millions of euros.
Mostly, it seems, because its extraordinary filmmaking, which transmits the sickening addiction to war as well as its horrors in largely formal terms, doesn't come wedded to a sufficiently obvious antiwar position.
Bridging between formal and non-formal approaches, e.g. community schools, is required to create a sufficiently complete education provision.
We did not base this number on a formal sample size calculation, but rather aimed to obtain a sufficiently large sample to allow psychometric assessment of the data collection instruments.
Although a formal validation of PKPK models is ultimately not possible, the successful prediction of a sufficiently diverse set of experiments that has not been used for model establishment itself generates confidence in the quality of the models.
Can a sufficiently telegenic Republican find a sufficiently cute puppy?
