The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing.
Sentiment: NEGATIVE
The application of group theory to physics became one of the main branches of physics that I specialized in.
The three parts of the theory are analytical ability, the ability to analyze things to judge, to criticize. Creative, the ability to create, to invent and discover and practical, the ability to apply and use what you know.
There can be theory but, you know, the problem is you've got to be able to test it. So theories are one thing, testing is another.
Even if there is only one possible unified theory, it is just a set of rules and equations. What is it that breathes fire into the equations and makes a universe for them to describe?
A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories.
Theories, for me, are just about freeing your mind. It doesn't mean the theory is going to work like a scientific theory works. It's about freeing your mind and making you think a different way.
The Independent or Congregational theory includes two principles; first, that the governing and executive power in the Church is in the brotherhood; and secondly, that the Church organization is complete in each worshipping assembly, which is independent of every other.
Groups are grammatical fictions; only individuals exist, and each individual is different.
I'm not sure what theory is, unless it's the pursuit of fundamental questions.
A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.