#mathematical

I chose to deal with the science of cryptography. Cryptography began in mathematics. Codes were developed, even from Caesar's time, based on number theory and mathematical principles. I decided to use those principles and designed a work that is encoded. ↗

— James Sanborn

#began #caesar #chose #codes #cryptography

One might almost reckon mathematically that, having undergone the double composition of public opinion and of the author, their history reaches us at third hand and is thus separated by two stages from the original fact. ↗

— Alfred de Vigny

#author #composition #double #fact #hand

The spiral in a snail's shell is the same mathematically as the spiral in the Milky Way galaxy, and it's also the same mathematically as the spirals in our DNA. It's the same ratio that you'll find in very basic music that transcends cultures all over the world. ↗

— Joseph Gordon-Levitt

#basic #cultures #dna #find #galaxy

The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing? ↗

— Stephen Hawking

#approach #bother #cannot #constructing #describe

One cannot really argue with a mathematical theorem. ↗

— Stephen Hawking

#cannot #mathematical #really #theorem

If all consciousness is subject to essential laws in a manner similar to that in which spatial reality is subject to mathematical laws, then these essential laws will be of most fertile significance in investigating facts of the conscious life of human and brute animals. ↗

— Edmund Husserl

#conscious #consciousness #essential #facts #fertile

In a few decades of reconstruction, even the mathematical natural sciences, the ancient archetypes of theoretical perfection, have changed habit completely! ↗

— Edmund Husserl

#archetypes #changed #completely #decades #even

Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can be obtained from it. ↗

— Edmund Husserl

#concrete #full #idea #insights #like

If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper. ↗

— E. T. Bell

#experience #game #indeed #making #marks

Out of fifty mathematical papers presented in brief at such a meeting, it is a rare mathematician indeed who really understands what more than half a dozen are about. ↗

— E. T. Bell

#brief #dozen #fifty #half #indeed