“Is a “painting” worth the same if you cut it in half? Or perhaps in 100 pieces?”
Is a bitcoin?
Of course it is... And better, it’s fractions are easily recombined - unlike a painting.
It is. Two halves of a Bitcoin are worth a Bitcoin. Two halves of a painting are not worth a full painting. Part of the value of the painting resides in continuity - that it remains in one piece. Each part of a Bitcoin is percentagely equal (half is worth half, quarter worth 25%, etc), and can be recombined into the original item, with the same value.