. . . 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.
For without risk there is no faith, and the greater the risk, the greater the faith.
Here's the thing. When we talk about race relations in America or racial progress, it's all nonsense. There are no race relations. White people were crazy. Now they're not as crazy. To say that black people have made progress would be to say they deserve what happened to them before.
About Jesus Christ and the Church, I simply know they're just one thing, and we shouldn't complicate the matter.
Apart from their other characteristics, the outstanding thing about China's 600 million people is that they are “poor and blank”. This may seem a bad thing, but in reality it is a good thing. Poverty gives rise to the desire for changes, the desire for action and the desire for revolution. On a blank sheet of paper free from any mark, the freshest and most beautiful characters can be written; the freshest and most beautiful pictures can be painted.
We are plain quiet folk, and I have no use for adventures. Nasty, disturbing, and uncomfortable things.
That which the fountain sends forth returns again to the fountain.
Subscribe for the occasional hand-picked quote. No noise.