They flow hand in hand. One must use reasoning to understand logic. Logic is based on a set of principals. Reasoning is sometimes random and yet incorporates logic in a degree. If one had "a" "b" and "c" to deal with, and the question was, "Who did it ?" , one would have to use deductive reasoning to understand the relationships between a,b,c.
The relationships of a b and c are definitely related to each other and with the set rules of logic coupled with reasoning one should be able to gain an acceptable result as to "Who did it?"
Without reasoning.....one would never achieve logic. To be completely objective is to gain a foot hold on logic. I believe there is a conduit between reasoning and logic....it is called understanding.
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Reasoning involves thinking logically but also includes considering emotions, beliefs, and intuition. Logic, on the other hand, specifically refers to the study of principles of reasoning and inference. So, while reasoning incorporates logic, it goes beyond just strict logical thinking.
Logic is closely related to math, but they are not the same thing. Logic is the study of reasoning and argumentation, while math is the study of numbers, quantities, and shapes. Math often uses logic to prove theorems and solve problems, but logic is a broader field that encompasses reasoning in general.
Logic.
Some recommended books on logic for improving logical reasoning are "Introduction to Logic" by Irving M. Copi, "Logic: A Very Short Introduction" by Graham Priest, and "The Art of Reasoning" by David Kelley.
Anticipation, logic, reflection, scrutiny, speculation, contemplation, musing, reasoning, heed...
No, denying the antecedent is not a valid form of reasoning in logic.