Quotes About Cantor

No one shall expel us from the paradise that Cantor has created for us.

I knew I had a remarkable voice, but I was embarrassed because it was so high. But when I sang at my bar mitzvah, the rabbi was in tears. He said to my parents, 'He must become a cantor in the synagogue,' but my mother said, 'No, he's going to be a concert pianist.'

In my neighborhood, everyone had an opinion on the local cantor. You didn't go to a synagogue to listen to the rabbi's sermon. You went to listen to the cantor. It was like a concert.

I look forward to standing shoulder to shoulder with Speaker Boehner, Leader Cantor, Whip McCarthy and the entire republican conference as we repeal Obamacare, fight rampant job killing regulations, cut spending and help put folks back to work.

The combination of Cantor and eSpeed will earn more money and be more profitable than we ever were before September 11.

A small but typical example of how 'philosophy' sends out new shoots is to be found in the case of Georg Cantor, a nineteenth-century German mathematician. His research on the subject of infinity was at first written off by his scientific colleagues as mere 'philosophy' because it seemed so bizarre, abstract and pointless. Now it is taught in schools under the name of set-theory.

I actually got thrown into my Bar Mitzvah because my teacher, my Cantor, did not tell me that they would all say 'amen' at the end of each, for want of a better word, paragraph. And that threw me completely. I almost went into an Ella Fitzgerald sort of scat.

Before the work of Georg Cantor in the nineteenth century, the study of the infinite was as much theology as science; now, we understand Cantor's theory of multiple infinities, each one infinitely larger than the last, well enough to teach it to first-year math majors. (To be fair, it does kind of blow their minds.)

When have you ever heard of a cantor or any artist turning anyone down when he is strongly urged to perform?

In Cantor's mind there were an infinite number of infinities-the transfinite numbers-each nested in the other. Aleph 0 is smaller than Aleph 1, which is smaller than Aleph 2, which is smaller than Aleph 3, and so forth. At the top of the chain sits the ultimate infinity that engulfs all other infinities: God, the infinity that defies all comprehension.

A cantor, when he starts singing, it's like rain - once it starts, it's hard to stop.

Respecting infinite sets, for example, Intuitionism is rabidly anti-Cantor and Formalism staunchly pro-Cantor, even though both Formalism and Intuitionism are anti-Plato and Cantor is a diehard Platonist. Which, migrainous or not, means we're back to metaphysics: the modern wrangle over math's procedures is ultimately a dispute over the ontological status of math entities.

Cantor's discovery that lines, planes, cubes, and polytopes were all equivalent as sets of points goes a long way toward explaining why set theory was such a revolutionary development for math-revolutionary in theory and practice both.

but let's emphasize once more here that G. Cantor is, like R. Dedekind, a mathematical Platonist; i.e., he believes that both infinite sets and transfinite numbers really exist, as in metaphysically, and that they are reflected in actual real-world infinities.....

In other words, Cantor is able to show that real numbers themselves can serve as the limits of fundamental sequences of reals, meaning his system of definitions is self-enclosed and VIR-proof.

No one shall expel us from the paradise which Cantor has created for us. { Expressing the importance of Georg Cantor 's set theory in the development of mathematics .}

No one shall expel us from the paradise that Cantor has created for us.