Mathematical Infinity, Its Inventors, Discoverers, Detractors, Defenders, Masters, Victims, Users, and Spectators.
Belaga, Edward G.
HAL, hal-00129653 / Harvested from HAL
Text on HAL
"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. "
Publié le : 2000-07-05
Classification:  Set theory,  transfinite recursion,  "Set theory,  Zermelo-Fraenkel axiomatic,  axioms of infinity,  transfinite recursion",  04A10, 04A30,  [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM] 
@article{hal-00129653,
     author = {Belaga, Edward G.},
     title = {Mathematical Infinity, Its Inventors, Discoverers, Detractors, Defenders, Masters, Victims, Users, and Spectators.},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00129653}
}

Belaga, Edward G. Mathematical Infinity, Its Inventors, Discoverers, Detractors, Defenders, Masters, Victims, Users, and Spectators.. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129653/