Frege, Gottlob

Logician-Mathematician German 1848 – 1925

Founded modern logic and philosophy of mathematics.

385 quotes

"Every judgment asserts a relation between thoughts and truth."
Philosophy
"The meaning of a sign must be public and conventional."
Wisdom
"Abstract entities are as necessary for understanding as concrete ones."
Science
"Truth cannot be known by inspection of beliefs alone."
Truth
"The structure of thought is isomorphic to the structure of reality."
Philosophy
"A concept must have determinate boundaries for clear thinking."
Knowledge
"The sense of a proper name is typically its referent's description."
Wisdom
"To deny the law of non-contradiction is to abandon reason itself."
Truth
"Thoughts are the primary bearers of truth and falsehood."
Philosophy
"Logical analysis reveals what ordinary language conceals."
Knowledge
"A thought is a logical entity, not a psychological one."
Philosophy
"The task of philosophy is the logical analysis of thought."
Philosophy
"Language is the clothing of thought, yet it often conceals rather than reveals."
Knowledge
"We must distinguish sharply between the idea and the object."
Wisdom
"Truth is not invented, but discovered through rigorous examination."
Truth
"The sense of a sentence is independent of the minds of speakers."
Philosophy
"In mathematics, we deal with pure thoughts divorced from empirical content."
Science
"Names have meaning only in the context of a complete sentence."
Knowledge
"A concept is not itself an object; it cannot be spoken of as if it were."
Philosophy
"The laws of logic are not laws of nature but laws of thought itself."
Wisdom
"Understanding requires careful distinction between sense and reference."
Knowledge
"The symbol must be transparent to meaning."
Art
"Arithmetic is not empirical; it is a system of logical truths."
Science
"We must overcome the confusion between psychology and logic."
Education
"A definition must capture the essence, not merely list properties."
Philosophy
"The mind does not create mathematical objects; it apprehends them."
Knowledge
"Rigorous thinking demands that we abandon metaphor for precision."
Wisdom
"The truth of a proposition depends not on our beliefs but on reality."
Truth
"To understand language, one must understand its logical structure."
Knowledge
"Function and argument are primitive logical categories."
Science