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.
Interpretation
What this quote means
Advancements in observational tools can sometimes hinder scientific progress by making measurements overly precise, which can complicate general understanding.
In this quote, Henri Poincare reflects on the challenges faced by scientists who operate in an era where the means of observation are so refined that they can lead to an overwhelming focus on minute details. This obsession with precision can obscure larger scientific concepts and slow down overall understanding, particularly in fields like physical chemistry, where foundational ideas may get lost in the complexities of exact measurements.
Themes
In practice
Example use cases
During a science conference, to illustrate the challenges faced by researchers in modern fields.
More from Henri Poincare
All quotes →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.
. . . 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.
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.
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