Frege, Gottlob

"The object of thought is independent of the thinker."

"Mathematics depends upon the laws of logic, not physical reality."

"Clarity in expression requires clarity in thought."

"The same sense can have different modes of presentation."

"A function is defined by its argument-value relationship."

"Language is the medium through which we grasp the world."

"Proper names refer directly to objects without intermediate sense."

"The law of non-contradiction is the foundation of all reasoning."

"Abstract objects are as real as concrete physical ones."

"A proposition's truth-value is its only semantic feature."

"Concepts exist in a realm independent of human minds."

"Logical laws are not empirical discoveries but necessary truths."

"To understand a word is to grasp its sense completely."

"The compositionality of language reflects the structure of thought."

"Objects fall under concepts; concepts do not fall under objects."

"A true belief must correspond to reality in all respects."

"Intuition alone cannot establish mathematical truth."

"The meaning of a sentence is not the sum of word meanings."

"Logical form is universal across all languages."

"A term's reference is determined by conventional rules, not nature."

"Thoughts exist independently of any particular person thinking them."

"The distinction between sense and reference is crucial for philosophy."

"Numbers are objects of our thoughts, not our sensations."

"Proper analysis reveals what appears confused in natural language."

"Every meaningful assertion has a truth-value, determinate or indeterminate."

"The laws of logic are neither psychological nor physical laws."

"To doubt the law of non-contradiction is to doubt thought itself."

"An object's properties determine which concepts it falls under."

"Language must be regimented to avoid philosophical confusion."

"The reference of a term cannot be determined by introspection alone."