Looks like translating a positional numbering system from ancient cultures than ruling out or not if they had the concept of zero. It may be a single use symbol, here is nothing, instead of being part of bigger amounts. Numbering systems doesn't have to be positional (nor go too far).
I highly recommend suffering through both early and late Wittgenstein (only wrote 2 books and essentially invented one of the 3 branches of philosophy).
Expect to only understand 10% of what he says, but that is normal.
Separately, pragmatism by William James is an easy 4 hour read and you can have 2/3 of the branches of meta philosophy.
Zero has two roles: as a positional placeholder and as a cardinal value (nothingness or net-zero). This only addresses the former.
Looks like translating a positional numbering system from ancient cultures than ruling out or not if they had the concept of zero. It may be a single use symbol, here is nothing, instead of being part of bigger amounts. Numbering systems doesn't have to be positional (nor go too far).
Gosh I love Wittgenstein for this.
I highly recommend suffering through both early and late Wittgenstein (only wrote 2 books and essentially invented one of the 3 branches of philosophy).
Expect to only understand 10% of what he says, but that is normal.
Separately, pragmatism by William James is an easy 4 hour read and you can have 2/3 of the branches of meta philosophy.