Philosophy Quotes

"To study logic is to study the foundations of all science."

"The distinction between analytic and synthetic truth reflects our ways of knowing."

"Each formal language embodies a particular way of carving up reality."

"The semantics of a language must be precisely defined before we can evaluate its truth."

"The relationship between language and reality is more subtle than it appears."

"Formal systems are mirrors in which we see the structure of our own reasoning."

"A thought is best identified with the sense of a sentence. The meaning of a word is the object it designates."

"A concept is an object, not a property of objects."

"The function of a name is to stand for an object; the function of a sentence is to express a thought."

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

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

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

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

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

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

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

"Contradictions reveal that our conceptual system has broken down somewhere."

"A concept word has a sense that determines which objects fall under it."

"The object designated by a name exists independently of the name itself."

"Concepts arrange themselves into hierarchies determined by their logical relations."

"A proper analysis of language reveals the structure of reality itself."

"The universals grasped by reason are more real than particular instances."

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

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

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

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

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

"The world is not intrinsically divided into minds and physical objects."

"Realism is not the view that the world exists independently of all schemes of description."

"The notion of a mind-independent reality is incoherent."