Knowledge Quotes

From ancient scholars to modern scientists, these quotes explore what it means to learn and to know.

31147 quotes

F
"The symbol is merely the vehicle; the meaning is what matters."
Frege, Gottlob
F
"The value of an expression lies in its contribution to truth-conditions."
Frege, Gottlob
F
"The name is arbitrary; the sense it expresses is necessary."
Frege, Gottlob
F
"The meaning transcends the individual utterance."
Frege, Gottlob
C
"A function is a law of nature; understand it and you understand creation."
Church, Alonzo
C
"To define is to limit; yet all understanding requires definition."
Church, Alonzo
C
"The most important discoveries are often the simplest ones."
Church, Alonzo
C
"Understanding complexity reveals the elegance beneath."
Church, Alonzo
P
"The barriers between disciplines are conventions, not laws of nature."
Poincaré, Henri
P
"We live on an island of knowledge surrounded by a sea of ignorance."
Poincaré, Henri
P
"The mind is a muscle; it grows stronger with use."
Poincaré, Henri
W
"The study of mathematics is apt to commence in disappointment."
Whitehead, Alfred North
W
"Intelligence is not to make no mistakes but to see quickly how to remedy them."
Whitehead, Alfred North
W
"Memory is the treasury of the mind."
Whitehead, Alfred North
W
"Knowledge without practice is like a tree without fruit."
Whitehead, Alfred North
D
"Language is the mirror of the mind."
Dummett, Michael
D
"To know something is to understand its place in the whole."
Dummett, Michael
G
"Either mathematics is too big for the human mind or the human mind is more than a machine."
Gödel, Kurt
G
"The incompleteness of any given formal system is a fundamental fact of logic."
Gödel, Kurt
G
"My brain has always been divided into two parts."
Gödel, Kurt
G
"The formal systems which man constructs possess only a limited completeness."
Gödel, Kurt
G
"The concept of infinity was a revolutionary mathematical notion."
Gödel, Kurt
G
"One cannot help but wish to see more precision in philosophical argumentation."
Gödel, Kurt
G
"The limits of my language mean the limits of my world."
Gödel, Kurt
G
"Mathematics is the study of analogies among analogies."
Gödel, Kurt
G
"To understand the universe is to understand mathematics."
Gödel, Kurt
G
"The world has a logical structure that we can partially grasp."
Gödel, Kurt
G
"The human mind can apprehend truths that no machine can generate."
Gödel, Kurt
G
"To understand language is to understand the structure of thought."
Gödel, Kurt
G
"Logical clarity is the foundation of all knowledge."
Gödel, Kurt