08 September 2018

On Numbers: God and Numbers

“[…] the knowledge we have of the Mathematicks, hath no reason to elate us; since by them we know but numbers, and figures, creatures of our own, and are yet ignorant of our Maker’s.” (Joseph Glanvill, “The Vanity of Dogmatizing”, 1661)

 “The laws of thought, and especially of number, must hold good in heaven, whether it is a place or a state of mind; for they are independent of any particular sphere of existence, essential to Being itself, to God’s being as well as ours, laws of His mind before we learned them. The multiplication table will hold good in heaven […]” (Hilda P Hudson)

“Since we are assured that the all-wise Creator has observed the most exact proportions of number, weight and measure in the make of all things, the most likely way therefore to get any insight into the nature of those parts of the Creation which come within our observation must in all reason be to number, weigh and measure.” (Stephen Hales, “Vegetable Staticks”, 1961)

"God made the natural numbers. all else is the work of man." (Leopold Kronecker)

“It is a right, yes a duty, to search in cautious manner for the numbers, sizes, and weights, the norms for everything [God] has created. For He himself has let man take part in the knowledge of these things […] For these secrets are not of the kind whose research should be forbidden; rather they are set before our eyes like a mirror so that by examining them we observe to some extent the goodness and wisdom of the Creator.” (Johannes Kepler)

"God may not play dice with the universe, but something strange is going on with the prime numbers." (Paul Erdős)

“We know that there is an infinite, and we know not its nature. As we know it to be false that numbers are finite, it is therefore true that there is a numerical infinity. But we know not of what kind; it is untrue that it is even, untrue that it is odd; for the addition of a unit does not change its nature; yet it is a number, and every number is odd or even (this certainly holds of every finite number). Thus we may quite well know that there is a God without knowing what He is.” (Blaise Pascal, “Pensées”, 1670)

“Uneven numbers are the god’s delight” (Virgil)

“What else can the human mind hold besides numbers and magnitudes? These alone we apprehend correctly, and if piety permits to say so, our comprehension is in this case of the same kind as God’s, at least insofar as we are able to understand it in this mortal life.” (Johannes Kepler)

"The God that reigns in Olympus is Number Eternal.” (Carl Gustav Jacobi)

"God created everything by number, weight and measure.” (Sir Isaac Newton)

"Number is the ruler of forms and ideas, and the cause of gods and demons." (Pythagoras)

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