Hermann Hankel famous quotes
Last updated: Sep 5, 2024

In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure.
 Hermann Hankel 
Isolated, socalled "pretty theorems" have even less value in the eyes of a modern mathematician than the discovery of a new "pretty flower" has to the scientific botanist, though the layman finds in these the chief charm of the respective sciences.
 Hermann Hankel 
In mathematics alone each generations adds a new story to the old structure.
 Hermann Hankel 
[Mathematics is] purely intellectual, a pure theory of forms, which has for its objects not the combination of quantities or their images, the numbers, but things of thought to which there could correspond effective objects or relations, even though such a correspondence is not necessary.
 Hermann Hankel

Some of the greatest advances in mathematics have been due to the invention of symbols, which it afterwards became necessary to explain; from the minus sign proceeded the whole theory of negative quantities.

"The most powerful single idea in mathematics is the notion of a variable."

The question you raise, 'How can such a formulation lead to computations?' doesn't bother me in the least! Throughout my whole life as a mathematician, the possibility of making explicit, elegant computations has always come out by itself, as a byproduct of a thorough conceptual understanding of what was going on. Thus I never bothered about whether what would come out would be suitable for this or that, but just tried to understand  and it always turned out that understanding was all that mattered.

The point about zero is that we do not need to use it in the operation of daily life. No one goes out to buy zero fish.

They say my verse is sad: no wonder; Its narrow measure spans Tears of eternity, and sorrow, Not mine. but man's.

The movie, like the book before it, is an expertly built machine for the mass production of tears. Directed by Josh Boone ('Stuck in Love') with scrupulous respect for John Green's bestselling youngadult novel, the film sets out to make you weep  not just sniffle or choke up a little, but sob until your nose runs and your face turns blotchy. It succeeds.

Shame on those breasts of stone that cannot melt in soft adoption of another's sorrow.

God will never plant the seed of his life upon the soil of a hard, unbroken spirit. He will only plant that seed where the conviction of his spirit has brought brokenness, where the soil has been watered with the tears of repentance as well as the tears of joy.

Yoga adds years to your life and life to your years.

Everything you add to the truth subtracts from the truth.
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