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The phrase "an infinite amount" is correct and usable in written English.
It can be used when discussing concepts that involve limitless quantities or unbounded resources.
Example: "In mathematics, there are an infinite amount of numbers between any two given values."
Alternatives: "an infinite number" or "limitless quantity".
Exact(59)
If they occupied any amount of space, then infinitely many of them would fill an infinite amount of space.
He had an infinite amount of patience with children.
We would have an infinite amount in common".
For all current practical purposes, that is an infinite amount.
I have an infinite amount of love for them.
I actually believe there are an infinite amount of intelligences.
With a black hole, it would take an infinite amount of energy to pull away.
There is plenty of hope, an infinite amount of hope but not for us!
Finova does not have an infinite amount of time to raise the money.
It creates patterns – you can zoom in an infinite amount and more details are revealed.
It's time we acknowledge that there are an infinite amount of ways to be black.
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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