"You need what budget now to experimentally count Graham's Number of apples?"
xkcd
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Here's $0 + 10^9^i. Spend it wisely.
Do you mean $0 + 10^9 i or are you inferring some relation to Euler's formula?
Yes
Next experiment will be the Banach–Tarski paradox.
Any volunteers?
Now divide them evenly between 0 people.
Then build that hotel with an infinite number of guest rooms.
They've already started building the hotel, but they've got a way to go.
The "question everything" folks, too.
You men scientists?
No, the ones that says we shouldn't trust scientists and doctors, not realizing the alternative would be to check and prove every single thing before believing it.
In my experience, those people don't go around questioning things. They just pick somebody to believe and make them their messiah or something.