"Mathematical truths hold with absolute necessity."Science
"A concept is grasped when we understand all its logical relations."Wisdom
"Thoughts are the contents of judgments, not mental images."Philosophy
"The meaning of a word is public and objective, never merely private."Knowledge
"Reality is structured according to the laws of logic."Truth
"Objects are what fall under concepts; concepts are what objects exemplify."Philosophy
"To know a truth is to understand why it must be true."Wisdom
"The symbolic form of an expression reveals its logical form."Science
"A sentence expresses a thought and asserts a truth-value."Knowledge
"Analysis progresses from the familiar to the fundamental."Philosophy
"The sense of an expression determines its possible references."Truth
"Logical necessity is rooted in the nature of concepts themselves."Wisdom
"We understand a concept when we can use it correctly in all contexts."Knowledge
"Thoughts are independent of the thinker yet dependent on language."Philosophy
"The truth of a judgment never depends on our feelings about it."Truth
"Arithmetic cannot be reduced to psychology or empirical observation."Science
"A definition is only successful if it captures the essence of its subject."Wisdom
"The logical structure of language reflects objective reality."Knowledge
"Concepts are not mental contents but abstract entities."Philosophy
"Truth is absolute and independent of all perspective."Truth
"Sameness of reference requires sameness of meaning."Knowledge
"The laws of thought are the laws of being itself."Philosophy
"Understanding requires distinguishing the objective from the subjective."Wisdom
"Mathematical knowledge is a priori and necessarily true."Science
"A complete symbol carries its sense and reference transparently."Truth
"Language is the vehicle for the objectivity of thought."Knowledge
"Concepts form a structured hierarchy of subordination."Philosophy
"The mode of presentation of an object matters for understanding."Wisdom
"Logical laws are normative for all correct thinking."Truth
"Reality consists of facts, not things alone."Knowledge