(Inspired by a question already at english.SE)
This is more of a terminological question than a purely mathematical one, but can possibly be justified mathematically or simply by just what common practice it. The question is:
When pronouncing ordinals that involve variables, how does one deal with 'one', is it pronounced 'one-th' or 'first'?
For example, how do you pronounce the ordinal corresponding to $k+1$?
There is no such term in mathematics 'infinityeth' (one uses $\omega$, with no affix), but if there were, the successor would be pronounced 'infinity plus oneth'. Which is also 'not a word'.
So then how does one pronounce '$\omega + 1$' which is an ordinal? I think it is simply 'omega plus one' (no suffix, and not 'omega plus oneth' nor 'omega plus first'.
So how ist pronounced, the ordinal corresponding to $k+1$?
- 'kay plus oneth'
- 'kay plus first'
- 'kay-th plus one'
- 'kay plus one'
or something else?