Do good explanation has to be true? (historical development (Mathematics:…
Do good explanation has to be true?
important words in topic
How do we judge a knowledge is true?
For different subject, the true knowledge may differ.
For different period of time, the truth of knowledge may differ.
For different stakeholders and different groups of people, the good explanation for them may differ.
How do we judge which explanation is good?
acceptance by the people you are explaining to
scope：the truth of the same knowledge varies from scope to scope.
Natural science: physics
Newton's classical physics
A good explanation can explain the phenomena within just specific field.
Riemannian geometry (elliptic geometry)
With the development of the discipline, truth of knowledge may change with time, so that the explanation becomes a bad one.
personal knowledge and shared knowledge
For children, good explanation may not be necessarily true.
In Chinese textbook, for junior high students, some explanation is simplified for easy understanding but the truth of explanation is doubted.
For scholars in the field, the truth of explanation is very important.
e.g. physics: good explanation of phenomena must be verified with experiment and agreed by other expert in the field.
Art: personal knowledge of the writer/painter is always the good explanation of the artwork.
The explanation by the expert in the field will seen as good explanation as well.
The explanation that is agreed by the respected journal is a good one.