This question is a sub-question of previous question on MSE. I feel that on this website I have better chances of knowing more things.
For quite some time now, I have been searching about the "Principle of permanence". Mainly it is because of George Peacock and is found in old literature. It is a very powerful argument. But I couldn't found it in any modern literature!, why is that?
- Why is it not used(perhaps used implicitly but not mentioned) nowadays?
Another quite surprising thing that I found is that wikipedea(link) mentions an altogether different definition of "Principle of permanence".
The usual definition goes like:
"This principle states that we employ rules under circumstances more general than are warranted by the special cases under which the rules were derived and have validity."--taken from the book "Beginning algebra for college students."
- Why it has two different definitions?
I want to study about the Principle Of Permanence as much as possible so please tell me about all the references/books which mention/explain it. I've already downloaded, Peacock's "A Treatise On Algebra" vol-1 and vol-2, along with this some other sources, like Felix Klein's "Elementary Mathematics From An Advanced Standpoint", etc. The main sources are G.B Fine's "The Number-System of Algebra" and George Peacock's book.
- I want more references/resources for this term, and want to study all the historical perspective of this term as much as possible.