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The phrase "infinite dimension" is correct and usable in written English
It can be used in contexts related to mathematics, physics, or philosophy, often to describe spaces or concepts that extend beyond finite limits. Example: "In theoretical physics, the concept of an infinite dimension allows for the exploration of complex multiverse theories."
Exact(59)
And if it is not true, can you prove that there are no whole number solutions to a problem of infinite dimension?
He argued that the space need not be ordinary Euclidean space and that it could have any dimension (he even contemplated spaces of infinite dimension).
Obviously, it has the countably infinite dimension.
In many disciplines, problems arise in infinite dimension spaces.
Let H be a separable Hilbert space with infinite dimension.
Many scientific and engineering problems require to perform Bayesian inference for unknowns of infinite dimension.
The nonlinear mappings define a feature space, which may have infinite dimension.
Affine; those whose corresponding Kac Moody algebra has infinite dimension but is of polynomial growth.
There are a lot of real world problems which exist in infinite dimension spaces.
In many disciplines, including economics, image recovery and control theory, problems arise in infinite dimension spaces.
(b) Affine; those whose corresponding Kac Moody algebra has infinite dimension but is of polynomial growth.
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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