May I hope for hints to authors of truly foundational work on basics of mathematics? I recently communicated mature literature by Thomas Bedürftig, Wolfgang Mückenheim, and Detlef Spalt among these authors who did not quote each other. They even admitted being unaware of the communicated literature of the other ones. By chance I realized that Knobloch was mentioned by Spalt and also by Katz.
Katz has been using the term A-(Archimedes) continuum in contrast to a B-(Johann Bernoulli)continuum. For my feeling, Archimedes should not be associated with Zenon's ill-conceptualized continuum of indivisibles (points) but with the endless (Archimedean) possibilities of addition and division.
A plurality of infinities corresponds to the more obviously unjustified plurality of zeros. Given Mückenheim is correct in that there is strictly speaking no absolute infinity, should this not imply that there in no absolute zero and also not any absolute singular number except for the primary unit one? By the way, I agree with Katz on rigor.
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