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

#Half #Philosopher #Very Good
“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

#Giving #Foundation #Letters
“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

#Science #Judging #Judgement
“'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

#Men #Mind #Foundation
“...one can hardly deny that mankind has a common store of thoughts which is transmitted from one generation to another.”
-- Gottlob Frege

#Knowledge #Mind #Generations
“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

#Knowledge #Thinking #Names
“The thought: A logical inquiry”
-- Gottlob Frege

#Inquiry #Logical
“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

#Mean #Decision #Feelings

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