Truth Quotes

"To have a proof that something cannot be proven is itself a proof."

"Every mathematical truth is a necessary truth."

"Mathematical truth is independent of human opinion."

"The completeness of mathematics cannot be proven within mathematics itself."

"Every true thought has its own necessity."

"The proof of incompleteness shook the foundations of mathematical thought."

"Every statement about infinity contains a hidden contradiction."

"The axioms of mathematics are not provable within mathematics."

"Every logical system has its limits."

"The incompleteness theorem proves that mathematics is inexhaustible."

"Every mathematical question has an answer, even if we cannot find it."

"Every axiom system requires unprovable truths."

"Truth is independent of convention."

"Every formal system contains hidden assumptions."

"The word 'true' like the word 'beautiful' is sometimes used to stand for an activity rather than a property."

"The concept of truth transcends any particular language or formulation of it."

"We must distinguish between what is true and what we can prove."

"Truth is independent of belief, yet knowledge requires justification."

"A sentence is true if and only if things are as the sentence says they are."

"Truth is not a matter of opinion, though our access to it may be limited."

"Consistency is not sufficient for truth, but it is necessary."

"True statements correspond to objective facts in the world."

"Reality constrains what can be true, though we may never fully grasp all truths."

"Logical laws are not merely convenient conventions but represent deep necessities."

"Truth is objective, though our access to it may be subjective."

"The stability of logical truths grounds all scientific knowledge."

"To deny truth is to undermine the very basis of rational discourse."

"The absoluteness of logical laws shows us something about the nature of necessity itself."

"The transition from thought to language is never transparent; ambiguity lurks in every expression."

"A contradiction reveals that something has gone wrong with our concepts."