Gottlob Frege Quotes and Sayings  Page 1

“Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.”
 Gottlob Frege 
“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.”
 Gottlob Frege 
“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 
“'Facts, facts, facts,' cries the scientist if he wants to emphasize the necessity of a firm foundation for science. What is a fact? A fact is a thought that is true. But the scientist will surely not recognize something which depends on men's varying states of mind to be the firm foundation of science.”
 Gottlob Frege 
“...one can hardly deny that mankind has a common store of thoughts which is transmitted from one generation to another.”
 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.”
 Gottlob Frege 
“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
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