3 ms·
You can say: “The first number that can’t be described using a finite number of symbols” But then you have just used a finite number of symbols to describe it
by otikik 4y ago
You can say:
“The first number that can’t be described using a finite number of symbols”
But then you have just used a finite number of symbols to describe it, haven’t you?
- karpierz 4y agoThis assumes your numbers are well ordered (IE, any set of numbers has a "first"), which is called Zorn's Lemma. It's equivalent to the axiom of choice.
- WastingMyTime89 4y agoYou can't say that unambiguously, no. You haven't defined a well order which would allow you to talk about a first element (well, smallest).
- psychoslave 4y agoSaying something doesn’t imply saying something about a denotable entity.