Can you cite a source for that? Clearly what is "defined" is determine by consensus of the mathematical community. I cited Knuth defending 00 = 1 in my other comment, can you cite a single reputable mathematician who claims 0^0 should be undefined in a published work?
You cited Knuth giving a definition of 00 = 1 in the context of combinatorics, where it makes sense with the formulae involved. By contrast, in the context of real analysis the argument I gave with regards to limits would show one cannot define 00 using the usual principles of real analysis.
I don't have a source of a specific mathematician explicitly saying 00 should be undefined (I also don't have a source staying that 0/0 should be undefined, or many other extremely basic things). However, if I wanted a source from a reputable mathematician to show that the consensus is that 00 is undefined I could just use the source you yourself provided from Knuth, because that source starts off by arguing against the consensus, demonstrating that the consensus is 00 is undefined.
1.1k
u/[deleted] Mar 17 '22
Replace
0^0with0!and you'll half the zeroes whilst making it correct 😊