. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most advantageous to the species or, in other words, the most convenient. Geometry is not true, it is advantageous.
Interpretation
This quote emphasizes that our understanding of reality is shaped by practical benefits rather than absolute truth.
Henri Poincare suggests that our cognitive framework and perceptions of the world have evolved through natural selection for survival. The 'geometry' of our minds denotes our interpretative models, which prioritize convenience and utility over an objective truth. Thus, what we consider 'true' is often merely what is most beneficial for our species.
In practice
In a discussion about how different cultures interpret reality based on practical needs.
When the logician has resolved each demonstration into a host of elementary operations, all of them correct, he will not yet be in possession of the whole reality, that indefinable something that constitutes the unity ... Now pure logic cannot give us this view of the whole; it is to intuition that we must look for it.
It is a misfortune for a science to be born too late when the means of observation have become too perfect. That is what is happening at this moment with respect to physical chemistry; the founders are hampered in their general grasp by third and fourth decimal places.
A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature.
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another.
What is a good definition? For the philosopher or the scientist, it is a definition which applies to all the objects to be defined, and applies only to them; it is that which satisfies the rules of logic. But in education it is not that; it is one that can be understood by the pupils.
Most striking at first is the appearance of sudden illumination, a manifest sign of long unconscious prior work.
All wars are follies, very expensive and very mischievous ones.
My father was a man who didn't consider himself learned. He was a man who liked to be a farmer. He enjoyed his dairy farm and felt the calling. So there was a dedication. I was dedicated as a child to the service of God, and so there was this continual centering of a greater purpose than your own.
One's life has value so long as one attributes value to the life of others, by means of love, friendship, indignation and compassion.
Our influences are who we are. It's rare that anything is an absolutely pure vision; even Daniel Johnston sounds like the Beatles. And that's the problem with the bands I'm always asked about, the ones derivative of the early Seattle sound. They don't dilute their influences enough.
Almost everybody accepts that some people can be killed. 'The concept of 'brain death' - the belief that people on respirators can legitimately be killed - shows that.
Those who talk about individuality the most are the ones who most object to deviation, and in a few years it may be the other way around. Some day everybody will just think what they want to think, and then everybody will probably be thinking alike; that seems to be what is happening.
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