Friedrich Ludwig Gottlob Frege
(18 Nov 1848 - 26 Jul 1925)
German logician and logician.
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Science Quotes by Friedrich Ludwig Gottlob Frege (5 quotes)
'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.
— Friedrich Ludwig Gottlob Frege
Attributed.
I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths.
— Friedrich Ludwig Gottlob Frege
Grundgesetze der Arithmetik (1893), xiii, trans. Ivor Grattan-Guinness.
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.
— Friedrich Ludwig Gottlob Frege
Grundgesetz der Arithmetik(1893), Vol. 2, Section 60, In P. Greach and M. Black (eds., Translations from the Philosophical Writings of Gottlob Frege (1952), 144.
The aim of scientific work is truth. While we internally recognise something as true, we judge, and while we utter judgements, we assert.
— Friedrich Ludwig Gottlob Frege
Frege m.s., after 1879 (Manuskcripte edition 2), trans. Ivor Grattan-Guinness.
There is more danger of numerical sequences continued indefinitely than of trees growing up to heaven. Each will some time reach its greatest height.
— Friedrich Ludwig Gottlob Frege
Grundgesetz der Arithmetik(1893), Vol. 2, Section 60, In P. Greach and M. Black (eds., Translations from the Philosophical Writings of Gottlob Frege (1952), 204.
Quotes by others about Friedrich Ludwig Gottlob Frege (1)
Frege has the merit of ... finding a third assertion by recognising the world of logic which is neither mental nor physical.
Our Knowledge of the External World (1914), 201.
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