Knowledge Quotes
From ancient scholars to modern scientists, these quotes explore what it means to learn and to know.
31147 quotes
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"The symbol is merely the vehicle; the meaning is what matters."Frege, Gottlob
"The value of an expression lies in its contribution to truth-conditions."Frege, Gottlob
"The name is arbitrary; the sense it expresses is necessary."Frege, Gottlob
"The meaning transcends the individual utterance."Frege, Gottlob
"A function is a law of nature; understand it and you understand creation."Church, Alonzo
"To define is to limit; yet all understanding requires definition."Church, Alonzo
"The most important discoveries are often the simplest ones."Church, Alonzo
"Understanding complexity reveals the elegance beneath."Church, Alonzo
"The barriers between disciplines are conventions, not laws of nature."Poincaré, Henri
"We live on an island of knowledge surrounded by a sea of ignorance."Poincaré, Henri
"The mind is a muscle; it grows stronger with use."Poincaré, Henri
"The study of mathematics is apt to commence in disappointment."Whitehead, Alfred North
"Intelligence is not to make no mistakes but to see quickly how to remedy them."Whitehead, Alfred North
"Memory is the treasury of the mind."Whitehead, Alfred North
"Knowledge without practice is like a tree without fruit."Whitehead, Alfred North
"Language is the mirror of the mind."Dummett, Michael
"To know something is to understand its place in the whole."Dummett, Michael
"Either mathematics is too big for the human mind or the human mind is more than a machine."Gödel, Kurt
"The incompleteness of any given formal system is a fundamental fact of logic."Gödel, Kurt
"My brain has always been divided into two parts."Gödel, Kurt
"The formal systems which man constructs possess only a limited completeness."Gödel, Kurt
"The concept of infinity was a revolutionary mathematical notion."Gödel, Kurt
"One cannot help but wish to see more precision in philosophical argumentation."Gödel, Kurt
"The limits of my language mean the limits of my world."Gödel, Kurt
"Mathematics is the study of analogies among analogies."Gödel, Kurt
"To understand the universe is to understand mathematics."Gödel, Kurt
"The world has a logical structure that we can partially grasp."Gödel, Kurt
"The human mind can apprehend truths that no machine can generate."Gödel, Kurt
"To understand language is to understand the structure of thought."Gödel, Kurt
"Logical clarity is the foundation of all knowledge."Gödel, Kurt