It is a socialist idea that making profits is a vice; I consider the real vice is making losses.
I had a feeling once about Mathematics - that I saw it all. Depth beyond depth was revealed to me - the Byss and Abyss. I saw - as one might see the transit of Venus or even the Lord Mayor's Show - a quantity passing through infinity and changing its sign from plus to minus. I saw exactly why it happened and why the tergiversation was inevitable but it was after dinner and I let it go.
Interpretation
What this quote means
The quote reflects the profound realization of mathematical concepts and their complexities, suggesting an epiphany that was ultimately dismissed in a moment of distraction.
In this quote, Winston Churchill shares a moment of deep insight into the nature of mathematics, describing a vision of infinite quantities and their transition between states. However, he humorously notes that this profound understanding was lost to him after dinner, highlighting the fleeting nature of inspiration and the distractions of daily life that can overshadow moments of clarity.
Themes
In practice
Example use cases
During a lecture on mathematics, one might reference this quote to illustrate the deep insights that can occur in the field.
More from Winston Churchill
All quotes →The United States is like a gigantic boiler. Once the fire is lit under it, there's no limit to the power it can generate.
Politics is almost as exciting as war, and quite as dangerous. In war you can only be killed once, but in politics many times.
I will not pretend that if I had to choose between communism and Nazism I would choose communism.
Mountaintops inspire leaders but valleys mature them.
True genius resides in the capacity for evaluation of uncertain, hazardous, and conflicting information.
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In speaking of the Energy of the field, however, I wish to be understood literally. All energy is the same as mechanical energy, whether it exists in the form of motion or in that of elasticity, or in any other form. The energy in electromagnetic phenomena is mechanical energy.
Nearly all inventions are not recognised for their positive side either when they're made. So, for example, scientists didn't go out to design a CD machine: they designed a laser. But we got all sorts of things from a laser which we never remotely imagined, and we're still finding things for a laser to do.
Artificial selection turned the wolf into the shepherd, and the wild grasses into wheat and corn. In fact, almost every plant and animal that we eat today was bred from a wild, less edible ancestor. If artificial selection can work such profound changes in only ten or fifteen thousand years, what can natural selection do operating over billions of years? The answer is all the beauty and diversity of life.
Every orchid or rose or lizard or snake is the work of a dedicated and skilled breeder. There are thousands of people, amateurs and professionals, who devote their lives to this business. Now imagine what will happen when the tools of genetic engineering become accessible to these people.