/sci/ - Science & Math

>>10178700
>>10178722
I guess the way to make it a field is make infinity not absorb infinity such that
inf^n != inf^m

and then, say that there is at least some term
inf^{inf} which contributes at least as an infinitesimal where as any sum or product resulting the inf number which violates closure such the definition of the additive and multiplicative composition laws is modified by an infinitesimal that can be used to prove that the output of the composition is not exactly at the end point of the extended real line.