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logtrees | 4 months ago

Is it known that there are fewer than infinity tools?

discuss

order

jobigoud|4 months ago

I would assume that for any given tool you could make a "tool maker" tool.

ModernMech|4 months ago

You make a tool, then a tool factory, then a tool factory factory, ad infinitum.

kridsdale1|4 months ago

There is no ASML toolmaker maker.

lazide|4 months ago

For any given time period N, if it takes > 0 time or effort to make a tool, then there are provably less possible tools than infinity for sure.

If we consider time period of length infinity, then it is less clear (I don’t have room in the margins to write out my proof), but since near as we can tell we don’t have infinity time, does it matter?