Trade is an action that produces an increase in value (which is always subjective). People really do perform actions, so "trade doesn't exist" would be an incorrect statement. But it is not a particular item you can point to.

I don't think the path you are trying to walk makes any sense. An atom of gold exists even if I need some special tool to see or hold it. The tools we need to store & process information are not an indication that the saved information itself does not exist.

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Is Bitcoin (in the sense of "I have 5 Bitcoin") an entity or an action?

If I said "Sherlock Holmes does not exist" would you give me all this argument or would you understand and agree immediately?

This is the sense in which Bitcoin does not exist.

Yes, there are words on a page. There are books and films about Sherlock Holmes. There are even electrons in computer memory with a pattern that corresponds in some way to the name or character or concept of "Sherlock Holmes". But obviously he does not exist.

It is the same with Bitcoins.