3 ms·
You're mixing up "defined" with "defined via a decimal numeral" we can define these numbers without much difficulty via finite formula that compute them. This i
by voxl 7y ago
You're mixing up "defined" with "defined via a decimal numeral" we can define these numbers without much difficulty via finite formula that compute them. This is a completely valid definition, it is just not a decimal numeral.
An interesting idea might be "useful integers" which requires whatever definition we have to allow approximation of any finite subsequence with error converging to zero given more computational power.
- pwdisswordfish2 7y agoGP did not mix up anything. Some of those finite formulas also will be too long to be written within the constraints of this universe. The pigeonhole principle applies just as much to finite formulas as it does to finite strings of decimal digits.