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math.LO2022★ 1 cited
A Model Theory for the Potential Infinite
Matthias Eberl
We present the model theoretic concepts that allow mathematics to be developed with the notion of the potential infinite instead of the actual infinite. The potential infinite is u…
math.HO2022
Infinity is Not a Size
Matthias Eberl
We present a dynamic model theory that avoids the paradoxes stemming from completed infinities, but does not require any translation of formulae. The main adoption is the replaceme…