fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 6 months agoZero to heromander.xyzimagemessage-square138fedilinkarrow-up1890arrow-down117
arrow-up1873arrow-down1imageZero to heromander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 6 months agomessage-square138fedilink
minus-squareCollatz_problem [comrade/them]@hexbear.netcakelinkfedilinkEnglisharrow-up1·6 months agoIf we add it as natural number, half of number theory, starting from fundamental theorem of arithmetics, would have to replace “all natural numbers” with “all natural numbers, except zero”.
minus-squarepooberbee (any)@lemmy.mllinkfedilinkEnglisharrow-up1·6 months agoPrime factorization starts at 2, I’m not sure what you mean. Anyway, if you wanted to exclude 0 you could say “positive integers”, it’s not that hard.
minus-squareCollatz_problem [comrade/them]@hexbear.netcakelinkfedilinkEnglisharrow-up1·6 months ago1 also has a unique ‘empty’ prime factorization, while zero has none. You can also say “nonnegative integers”, if you want to include zero.
If we add it as natural number, half of number theory, starting from fundamental theorem of arithmetics, would have to replace “all natural numbers” with “all natural numbers, except zero”.
Prime factorization starts at 2, I’m not sure what you mean. Anyway, if you wanted to exclude 0 you could say “positive integers”, it’s not that hard.
1 also has a unique ‘empty’ prime factorization, while zero has none.
You can also say “nonnegative integers”, if you want to include zero.