You can disagree all you like, but it does not give "the wrong results". — jorndoe
It clearly does give the wrong results. There are more numbers than squares in any finite interval. So we can induce this applies to all intervals. — Devans99
The two are contradictory. Infinity can’t be a number. So it is not maths. — Devans99
There are many different 'infinities'. The one that arguably corresponds most closely to the folk notion of infinity isIt's the commonly used definition. What definition would you give of infinity? — Devans99
However, the transfinite cardinals and Ordinals are numbers and are universally acknowledged as infinite numbers. They are larger than any finite number and are not limits. They are sizes and order numbers of infinite sets. — MindForged
I could have pulled from all kinds of other sites, just grabbed that one. — Rank Amateur
Tranfinite numbers are not, by definition infinity, They are, by definition < infinity, one thing can not, be less than something and be the same thing as that which it is less than. — Rank Amateur
So an axiom of infinity is effectively 'when you change it, it does not change'. What sort of reasonable system of the world would adopt such an axiom? Where is the evidence for these magic objects that can be changed and remain unchanged? — Devans99
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