"Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal…"

"The totality of all alephs cannot be conceived as a determinate, well-defined, and also a finished set. This is the p…"

"Er ist aber in Kopenhagen geboren, von israelitischen Eltern, die der dortigen portugisischen Judengemeinde."

"In re mathematica ars proponendi quaestionem pluris facienda est quam solvendi."

"I realize that in this undertaking I place myself in a certain opposition to views widely held concerning the mathema…"

"Had Mittag-Leffler had his way, I should have to wait until the year 1984, which to me seemed too great a demand!"

"The old and oft-repeated proposition "Totum est majus sua parte" [the whole is larger than the part] may be applied w…"

"In order for there to be a variable quantity in some mathematical study, the domain of its variability must strictly …"

"The potential infinite means nothing other than an undetermined, variable quantity, always remaining finite, which ha…"

"I have never proceeded from any Genus supremum of the actual infinite. Quite the contrary, I have rigorously proved t…"