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It has yet to be proven that food and medicine themselves can increase brain function.

As for the first underlined part, can I use “food” and “medicine” as uncountable?

As for the second underlined part, should I use the plural form for brain function?

Comments  
teacherJapanAs for the first underlined part, can I use “food” and “medicine” as uncountable?

Sure, but "themselves" is rickety. I would put "in and of themselves".

teacherJapanAs for the second underlined part, should I use the plural form for brain function?

No. You mean the overall functioning of the brain, not its various functions. And with that in mind, I don't think you want to say that they may or may not increase it but rather improve it. They might increase brain activity because that can be increased.

Thank you very much, anonymous.

So does that mean that I should use either one of these expressions?

A: improve brain function

B: increase brain activity

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teacherJapan

Thank you very much, anonymous.

So does that mean that I should use either one of these expressions?

A: improve brain function

B: increase brain activity

Only you know what you think has been dubiously put forward as fact about the action of food and medicine upon the brain. I only mentioned activity because it fit with "increase". There are other things that could increase, like IQ, reasoning ability, and memory, but I do not think you can increase function, per se, as a matter of semantics. "Function" in this sense is the action of functioning. This is a pretty new use of the word.

Thank you very much, anonymous. I now get it. :-)