“Having visual impressions is, of course, necessary for seeing things, but it is not sufficient. What must be added is not anything sensible. And it is precisely this that unlocks the outer world for us; for without this non-sensible something, each of us would remain locked up in his inner world.” WorldCoursesSeeingImpressionSufficientVisualsSensibleLockedLocked UpInner WorldOuter Worlds Author:Gottlob Frege
“It is possible, of course, to operate with figures mechanically, just as it is possible to speak like a parrot: but that hardly deserves the names of thought. It only becomes possible at all after the mathematical notation has, as a result of genuine thought, been so developed that it does the thinking for us, so to speak.” ThinkingMindDoeCoursesNamesSpeakResultsKnowledgeFiguresDeserveGenuineMathematicalParrots Book:The Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of Number Source: The Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of Number