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On 2025-06-06 10:47:33 +0000, WM said:See above. Three are already given. More can be inserted. But it is impossible to replace them with all natural numbers.
On 06.06.2025 09:37, Mikko wrote:Then do so.On 2025-06-05 20:36:45 +0000, WM said:>
>On 05.06.2025 09:32, Mikko wrote:On 2025-06-04 17:32:28 +0000, WM said:>>The expression "subtracting them individually" should be represented>
mathematically, e.g. a sequence. Informal expressions tend to lead
to bad proofs.
This expression is represented by
>
((((ℕ \ {1}) \ {2}) \ {3}) ...) = { }
That may be good enough when you want to prove something that we already
believe anyway. But for a sufficiently rigorous proof of something else
the "..." should be replaced with something more mathematicsl.
The "..." can be replaced with the singletons of definable natural numbers
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