# Would it be legal to have an infinitely long middle name?

In the United States, would it be legal to have an infinitely long middle name?

It appears that it would not be a problem, since most of the time people only use the first letter of the middle name. When a middle name is asked for, it is usually permissible to truncate it if it does not fit in the field provided. Some notes:

• We will assume that the name in question is computable. That is, there is an algorithm that given a natural number n outputs the nth character of the name.
• All the characters in the name are standard characters of the English alphabet.
• Infinity with a beginning? Must be a uni-directional infinity? Or Just an ridiculously long name like the roman-letter representation of phi? "onepointsixoneeightzerothreethree". 33 characters of an indeterminately long number. – Austin T French Jan 21 '19 at 18:57
• @AustinTFrench Unidirectional. i.e. it is a ω-word. Also, not a ridiculously long but finite name. A ridiculously long but finite name has a last character, whereas a ω-word does not. – PyRulez Jan 21 '19 at 19:00
• @AustinTFrench There are plenty of infinities that can be said to have a beginning with respect to some ordering. These are called well-ordered infinities. Consider the natural numbers: 1,2,3,....This infinity begins with the number 1. – David Reed Jan 21 '19 at 21:09
• How would you distinguish between the name and the rule that generates it? – David Reed Jan 21 '19 at 21:11
• @DavidReed Well, for one, the rule would not be unique. Additionally, there would be at least one finite rule, since it is computable. Additionally, the initials will probably be different using the name v.s. the rule. – PyRulez Jan 21 '19 at 21:20