What makes you think it needs invective to be expressed? "Infinitism" does a pretty solid job of denouncing itself.

Of course it can. It is central to mathematical concepts that are well defined. The natural numbers have always existed because they are well defined.

That's extremely vague. The natural numbers exist as a consequence of measure in terms of whole units.

Well, you are clearly confused. Mathematics is not about asking questions. It's the study of measurement and the properties of numbers that arise as a result thereof. Questions are asked in every field of knowledge but have their roots in philosophy, which is the source of all knowledge.

You are thinking of logic which is one of the main tools of mathematics, but by no means that which defines it.

Um, no. What you think of as an ordered field is clearly ill-defined nonsense because you don't understand what is a magnitude. There is no question about defining arithmetic for magnitudes - arithmetic is ONLY defined for numbers. Magnitudes are not numbers unless they have been measured.

You are such a pompous ass. "if YOU allow yourself"?! Tsk, tsk. You obviously do not understand what is a Dedekind cut. May I suggest some serious study of my previous comments in that regard?

You can talk about many things, but doing so does not mean you know what you are talking about.

If you call this uncontentious, I would hate to see one of your contentious posts. May I remind you once again Aging JB, mathematics is not about opinion or like or dislike, it is about cold, hard facts and concepts that arewell defined.

One can only ever be certain that concepts and ideas existif and only if, the same are well defined.

The rest is simply idle horseshit! (Oh, please do pardon the invective!).

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