Logic vs Logical Reasoning

by **daccas840** Mon Jul 15, 2024 8:04 am

So I have a confusion in this based on the formal definition on the Wikipedia.

I need you help in confirming or fixing the following understanding.

Reasoning is the action that requires human intelligence and thought process to start with a statement (premise) and reach another statement derived from it (conclusion)

Correct reasoning is when

When the reasoning is done in a well organised, reproducible and finite steps, it is called logical reasoning

Logic is often part of reason which is used to derive the the conclusion. When using the mathematical jargons and symbols, it is formal logic. So when I said the systematic way, in 3rd point, it must be used defined by the set of logics related to the problem.

For example, If x^2 - 5x + 6 = 0 is true, then x must be either 2 or 3. So the argument is the root of polynomial x^2 - 5x + 6 is [2, 3]. We start with factorisation (x - 2) (x - 3) = 0.

Also there is one more thing that is bugging me a lot. Reason and Logic, their definition contain each other and it is like infinite recursion. Like what premise to know to understand these topics as well?