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Discussion
Bitcoin is more clearly defined than math. The protocol isn’t special. It’s what it means to humans that make it special.
It’s a mistake to make it more than it is.
It’s also mistake to underestimate and minimize it. Nobody knows dick about what this means to humans of what it should and should not.
Bitcoin plays to a quirk of human nature which is called 'Theory of Mind' - we can surmise what another might believe, whether it is true or false, and act accordingly.
It's also consistent with Interface Theory of Perception (ITP). For example, a cup is just a lump of matter, until we perceive it as a cup and know what to do with it. Bitcoin is no different than that cup which we believe can hold water.