“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
“A scientist can hardly meet with anything more undesirable than to have the foundations give way just as the work is finished. I was put in this position by a letter from Mr. Bertrand Russell when the work was nearly through the press.” WayGivingPositionLettersScientistMathematicsFoundationPressesMathFinishedMathematicalUndesirable Author:Gottlob Frege