Frege, Gottlob

"The vagueness of natural language often obscures the clarity of logical form."

"Concepts are sharply bounded or they are not concepts at all; borderline cases reveal breakdown."

"The meaning of a word is exhausted by specifying its sense and reference."

"A statement is true if and only if it corresponds to the objective facts."

"Language reform is necessary for the advancement of philosophical understanding."

"The third realm of abstract objects is as real as the physical world."

"Logic demands that we reject contradictions as false and incoherent."

"To communicate a thought is to cause another mind to grasp the same content."

"Concepts gain their meaning from their systematic relationships to other concepts."

"The pursuit of precision in language is the pursuit of truth in thought."

"Every meaningful expression must have both sense and a determinate truth value."

"Scientific progress depends upon rigorous logical analysis of our concepts."

"The objectivity of mathematics rests on the independence of numbers from human minds."

"Language is a tool for expressing thought, but it is an imperfect tool."

"To grasp a thought is to enter into contact with an objective reality."

"The law of identity states that a thing is equal to itself; this is foundational."

"Logical form reveals what grammar conceals about the structure of thought."

"Thoughts have content that can be true or false independent of any thinker."

"The sense of an expression determines its reference, not vice versa."

"True knowledge requires understanding not just facts but their logical connections."

"A concept is saturated when it has a clear and determinate extension."

"The boundaries between different concepts must be sharp and well-defined."

"Numbers are objects of thought that exist eternally and necessarily."

"Language often misleads us by its surface grammatical structure."

"The task of philosophy is to clarify thought by clarifying language."