Mathematical Infinity, Its Inventors, Discoverers, Detractors, Defenders, Masters, Victims, Users, and Spectators.
Résumé
"Is Mathematical Infinity adequately captured by Cantors set theory ? Or, for that matter, by Zermelo-Fraenkel, ZF(C), axiomatic and its modern extensions ? What is the meaning of the foundational crisis of nearly unprecedented magnitude (paraphrasing [Friedman 1986], p. 93) which the higher set theory is going through, almost uninterruptedly, for the last hundred years, and what are the good mathematical lessons one can learn from it ? We address here these and related questions, extensively using in our search widely conflicting, but also immensely rich ideas of many of the leading researchers in set theory and beyond. "
Origine : Fichiers produits par l'(les) auteur(s)