Science Quotes

Discovery, wonder, and the relentless pursuit of understanding how the world works.

20549 quotes

H
"One cannot escape the feeling that mathematical truths are somehow eternal and independent of human thought."
Hilbert, David
H
"The question of the applicability of mathematics to natural phenomena remains eternally fascinating."
Hilbert, David
H
"Every scientific principle must be able to be expressed in the language of mathematics."
Hilbert, David
H
"Every mathematical proof is a small window into the mind of the universe."
Hilbert, David
H
"Every proof is a conversation between the mathematician and the universe."
Hilbert, David
F
"Mathematics is the purest form of logical thinking."
Frege, Gottlob
F
"Numbers are not physical objects but abstract entities."
Frege, Gottlob
F
"Mathematics depends upon the laws of logic, not physical reality."
Frege, Gottlob
F
"A function is defined by its argument-value relationship."
Frege, Gottlob
F
"Logical laws are not empirical discoveries but necessary truths."
Frege, Gottlob
F
"Intuition alone cannot establish mathematical truth."
Frege, Gottlob
F
"Numbers are objects of our thoughts, not our sensations."
Frege, Gottlob
F
"Mathematical truths hold with absolute necessity."
Frege, Gottlob
F
"The symbolic form of an expression reveals its logical form."
Frege, Gottlob
F
"Arithmetic cannot be reduced to psychology or empirical observation."
Frege, Gottlob
F
"Mathematical knowledge is a priori and necessarily true."
Frege, Gottlob
F
"Abstract entities are as necessary for understanding as concrete ones."
Frege, Gottlob
W
"Mathematics is the instrument which has been created by the human spirit to understand the universe."
Weyl, Hermann
W
"Physical science will not console me for the ignorance of morality in the time of adversity."
Weyl, Hermann
W
"The insight into the nature of things that mathematics affords is beyond compare."
Weyl, Hermann
W
"The universe speaks in the language of mathematics, and we are fortunate enough to be able to listen."
Weyl, Hermann
W
"Where there is mathematical beauty, there is physical truth waiting to be discovered."
Weyl, Hermann
C
"The lambda calculus is a language for talking about functions."
Church, Alonzo
C
"The greatest unsolved problem in mathematics is P versus NP."
Church, Alonzo
C
"Mathematics is the science of what is necessary."
Church, Alonzo
C
"In science, there is no authority, only reason."
Church, Alonzo
C
"The universe speaks the language of mathematics."
Church, Alonzo
C
"The universe operates according to discoverable principles."
Church, Alonzo
C
"In science, we are all servants of truth."
Church, Alonzo
P
"The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful."
Poincaré, Henri