Inspirational Gottlob Frege Quotes

Gottlob Frege (8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. This post features some Inspirational Gottlob Frege Quotes.

He is considered as a major figure in mathematics, he is responsible for the development of modern logic and making contributions to the foundations of mathematics. He is also understood by many to be the father of analytic philosophy, where he concentrated on the philosophy of language and mathematics. Though largely ignored during his lifetime, Giuseppe Peano (1858–1932) and Bertrand Russell (1872–1970) introduced his work to later generations of logicians and philosophers.

Gottlob Frege Quotes
Gottlob Frege Quotes

Gottlob Frege Quotes

“Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.”
― 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

“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

“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

“Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic…. It is all the more serious since, with the loss of my rule V, not only the foundations of my arithmetic, but also the sole possible foundations of arithmetic seem to vanish.”
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

“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.”
― Gottlob Frege

“One can hardly deny that mankind has a common store of thoughts which is transmitted from one generation to another.”
Gottlob Frege quotes

“If the task of philosophy is to break the domination of words over the human mind […], then my concept notation, being developed for these purposes, can be a useful instrument for philosophers […] I believe the cause of logic has been advanced already by the invention of this concept notation.”
― Gottlob Frege

“Being true is different from being taken as true, whether by one or by many or everybody, and in no case is it to be reduced to it. There is no contradiction in something’s being true which everybody takes to be false. I understand by ‘laws of logic’ not psychological laws of takings-to-be-true, but laws of truth. …If being true is thus independent of being acknowledged by somebody or other, then the laws of truth are not psychological laws: they are boundary stones set in an eternal foundation, which our thought can overflow, but never displace. It is because of this that they have authority for our thought if it would attain truth. They do not bear the relation to thought that the laws of grammar bear to language; they do not make explicit the nature of our human thinking and change as it changes.”
― 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

“I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.”
― Gottlob Frege

“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

“A judgment, for me is not the mere grasping of a thought, but the admission of its truth.”
― Gottlob Frege

“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

“Without some affinity in human ideas art would certainly be impossible; but it can never be exactly determined how far the intentions of the poet are realized.”
― Gottlob Frege

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