Frege, Gottlob

"Numbers are not properties of physical objects but are objective abstract entities."

"The true goal of science is not mere description but understanding the underlying structure."

"Mathematical truths are timeless because they concern abstract objects independent of human mind."

"Existence is not a predicate; it is a property of concepts."

"The meaning of a word lies not in its image but in its use within a system."

"Thoughts are free from the contingencies of time and causation."

"One must distinguish the content of a thought from the mode of its presentation."

"A sign can have sense without having reference, but a well-formed expression should have both."

"The laws of logic are descriptive, not prescriptive; they describe the structure of reality."

"To grasp a thought is to apprehend something objective and mind-independent."

"Language is the clothing of thought, but sometimes the garment obscures rather than reveals."

"Concepts must have sharp boundaries or else they are not true concepts."

"The value of a philosophical inquiry lies in its pursuit of clarity and rigor."

"Equality is not a relationship between objects but between their senses."

"A definition should aim at capturing the essence of a concept, not merely its instances."

"The function of logic is to reveal the hidden structure beneath linguistic surface."

"Mathematics is the science of quantity, but number is an abstract object."

"Vagueness is the enemy of philosophical clarity and scientific truth."

"The proper study of language requires distinguishing between grammar and logic."

"One cannot think without signs, yet signs can mislead us into confused thoughts."

"The objectivity of thought depends upon its independence from individual minds."

"A proposition is true when its sense corresponds to reality; false when it does not."

"Concepts are not mental entities but objective forms accessible to rational inquiry."

"The extension of a concept is determined by its intension or defining characteristics."

"Language forces us to make distinctions that may not correspond to reality."

"Every symbol stands in need of a sense if it is to represent something."

"The true nature of number cannot be understood through empirical observation alone."

"Logic is not about what people think but about how they ought to think."

"Thoughts exist in a third realm, neither physical nor psychological."

"To err in logic is to err in our very apprehension of reality."