"It is properly debated whether irrational numbers are true numbers or fictions. ...where we might try to subject them to numeration [decimal representation] and to make them proportional to rational numbers, we find that they flee perpetually, so that none of them in itself can be freely grasped: a fact that we perceive in the resolving of them... Moreover, it is not possible to call that a true number which is such as to lack precision and which has no known proportion to true numbers. Just as an infinite number is not a number, so an irrational number is not a true number and is hidden under a sort of cloud of infinity. And thus the ratio of an irrational number to a rational number is no less uncertain than that of an infinite to a finite."
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, Arithmetica Integra (1544) as quoted by Peter Pesic, Music and the Making of Modern Science (2014)
https://en.wikiquote.org/wiki/Infinity
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Infinity
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