German mathematician, inventor of set theory (1845–1918)
People connected to Georg Cantor
He proved that some infinities are larger than others — a claim so unsettling that colleagues called him a charlatan and philosophers dismissed his work as nonsense.
Georg Cantor created set theory and established one-to-one correspondence between sets, proving the real numbers outnumber the natural numbers and implying an infinity of infinities. He defined cardinal and ordinal numbers and their arithmetic. His theory of transfinite numbers struck contemporaries as counter-intuitive: Leopold Kronecker called him a "scientific charlatan" and "corrupter of youth," while decades later Ludwig Wittgenstein dismissed set theory as "utter nonsense." A devout Lutheran, Cantor believed God had communicated the theory to him; some theologians saw it as a challenge t…
Sourced, dated quotes from Georg Cantor
Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number.
The totality of all alephs cannot be conceived as a determinate, well-defined, and also a finished set.
Had Mittag-Leffler had his way, I should have to wait until the year 1984, which to me seemed too great a demand!
There is no doubt that we cannot do without variable quantities in the sense of the potential infinite.
In order for there to be a variable quantity in some mathematical study, the domain of its variability must strictly speaking be known beforehand through a definition.
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