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Could we just say that natural numbers can be represented using sets, and leave it there? Natural numbers can also be represented by even natural numbers (e.g.
by Viliam1234 2y ago
Could we just say that natural numbers can be represented using sets, and leave it there?
Natural numbers can also be represented by even natural numbers (e.g. the easy way where 2n represents n), but that doesn't tempt people to make metaphysical statements about natural numbers somehow fundamentally "being" even. There is no reason why a representation of natural numbers by sets should be any more tempting.
- nthingtohide 2y agoThere are multiple represenation of rational numbers . n * p / n * q (for any n). So this problem is not unique to reduction of numbers to sets. Generally people say unique reduced form.