> Actually, an ever better example is: "The set of reals that are not the solution to any equation that can be written with a finite number of symbols." -- an infinite set that has no nameable members!
That's not a good example; the problem you're creating is due to sloppy use of language, not any cleverness in the definition.
All real numbers, and all numbers of any other variety, can be written with a finite number of symbols. That's what it means to give something a name.
That's not a good example; the problem you're creating is due to sloppy use of language, not any cleverness in the definition.
All real numbers, and all numbers of any other variety, can be written with a finite number of symbols. That's what it means to give something a name.