Our account does not rob the mathematicians of their science, by dispr — Infinity

"All this arguing of infinities is but the ambition of school boys."

"The Pythagoreans associated good and evil with the limited and unlimited, respectively."

"And in that moment, I swear we were infinite."

"We cannot say that the infinite has no effect, and the only effectiveness which we can ascribe to it is that of a principle. Everything is either a source or derived from a source. But there cannot be a source of the infinite or limitless, for that would be a limit of it. Further, as it is a beginning, it is both uncreatable and indestructible. For there must be a point at which what has come to be reaches completion, and also a termination of all passing away. That is why, as we say, there is no principle of this, but it is this which is held to be the principle of other things, and to encompass all and to steer all, as those assert who do not recognize, alongside the infinite, other causes, such as Mind or Friendship. Further they identify it with the Divine, for it is deathless and imperishable as Anaximander says, with the majority of the physicists."

"Dans chaque point réel, qui fait une Monade... il y pourroit lire encor tout le passé, et même tout lavenir infiniment infini, puisque chaque moment contient une infinité de choses , et quil y a une infinité de momens dans chaque partie du temps, et une infinité dheures, dannées, de siecles, deônes, dans toute léternité future. Quelle infinité dinfinités infiniment répliquée, quel monde, quel univers dans quelque corpuscule quon pourroit assigner."

"Heisuke Hironaka, as quoted by Allyn Jackson: (quote from p. 1019)"