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I can "divide" a single $100 bill into 100 $1 bills.

By your "logic" $1 is just as valuable as $100.

This misses the point. There is a scarce amount of Microsoft shares, but we don't talk about the scarcity of the shares driving the price, because that's not the reason that the stock has traded upwards. You can have scarcity on all kinds of resources - hell, this comment is scarce, it's one of a kind - but that doesn't mean it drives any kind of demand. All of this is econ 101.

> There is a scarce amount of Microsoft shares […]

New shares can be issued at any time.

And a bitcoin can be divided at any time to create a transaction. The limit on total coins is irrelevant when they can be divided almost infinitely.

But division is not the same as addition.

If MS issues new shares, they will increase the total amount of shares. If you divide one BTC into smaller parts, it doesn't mean that the total amount of BTC has increased.

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