Arithmetic Quote by 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

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Arithmetic Compare Depth Multitudes Roots Technique Theorems Tree Trees

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Arithmetic has began to totter.

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'Facts, facts, facts,' cries the scientist if he wants to emphasize the necessity of a firm foundation for science. What is a fact? A…

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What are numbers? What is the nature of arithmetical truth?

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Having visual impressions is, of course, necessary for seeing things, but it is not sufficient. What must be added is not anything sensible. And…

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...one can hardly deny that mankind has a common store of thoughts which is transmitted from one generation to another.

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It is possible, of course, to operate with figures mechanically, just as it is possible to speak like a parrot: but that hardly deserves…

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The aim of scientific work is truth. While we internally recognise something as true, we judge, and while we utter judgements, we assert.

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It really is worth the trouble to invent a new symbol if we can thus remove not a few logical difficulties and ensure the…

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

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The thought: A logical inquiry

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A scientist can hardly meet with anything more undesirable than to have the foundations give way just as the work is finished. I was…

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There is more danger of numerical sequences continued indefinitely than of trees growing up to heaven. Each will some time reach its greatest height.

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Explore all 14 Gottlob Frege quotes

More Arithmetic quotes

To divide one's life by years is of course to tumble into a trap set by our own arithmetic. The calendar consents to carry…

Clifton Fadiman

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Arithmetic is numbers you squeeze from your head to your hand to your pencil to your paper till you get the answer.

Carl Sandburg

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I am pretty good at arithmetic, and I know that the fight in front of us is a very, very steep fight. But we…

Jeff Merkley

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Arithmetic has began to totter.

Gottlob Frege

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Economics is half psychology and half Grade Three arithmetic, and the U.S. does not now have either half right.

Conrad Black

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The cumulative weight of all mortal sins--past, present, and future--pressed upon that perfect, sinless, and sensitive Soul! All our infirmities and sicknesses were somehow,…

Neal A. Maxwell

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Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of…

David Hilbert