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Gottlob Frege Quotes

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Arithmetic has began to totter  (Gottlob Frege Quotes) What are numbers? What is the nature of arithmetical truth?  (Gottlob Frege Quotes) The aim of scientific work is truth. While we internally recognise something as true, we judge, and while we utter judgements, we assert  (Gottlob Frege Quotes) ... one can hardly deny that mankind has a common store of thoughts which is transmitted from one generation to another  (Gottlob Frege Quotes) 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  (Gottlob Frege Quotes) Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician  (Gottlob Frege Quotes) It really is worth the trouble to invent a new symbol if we can thus remove not a few logical difficulties and ensure the rigour of the proofs. But many mathematicians seem to have so little feeling for logical purity and accuracy that they will use a word to mean three or four different things, sooner than make the frightful decision to invent a new word  (Gottlob Frege Quotes) I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths  (Gottlob Frege Quotes) There is more danger of numerical sequences continued indefinitely than of trees growing up to heaven. Each will some time reach its greatest height  (Gottlob Frege Quotes)