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math.HO2025
Bernard Bolzano: from Topological to Arithmetical Continuum and Back Again
Kateřina Trlifajová
Although Bolzano's concept of the continuum has gradually evolved, the basis remained the same: the continuum as an infinite class of points arranged in such a way that the so-call…
math.HO2024
Theological reasoning of Cantor's set theory
Kateřina Trlifajová
Discussions surrounding the nature of the infinite in mathematics have been underway for two millennia. Mathematicians, philosophers, and theologians have all taken part. The basic…
math.HO2018
Bolzano's measurable numbers: are they real?
Steve Russ, Kateřina Trlifajová
During the early 1830's Bernard Bolzano, working in Prague, wrote a manuscript giving a foundational account of numbers and their properties. In the final section of his work he de…