The Fallacy Fallacy Why you shouldn't go looking for faulty reasoning everywhere.

Not true. Inference is used when there are gaps in the available data or information. The primary means by which logic is applied is through facts and hard data. Without some basis in fact and data, inferences cannot be made. On the other hand, with facts and data at hand, inferences are not always necessary.
Logic requires no data. It it is not information. It requires no fact. It is not inference.

Like mathematics, logic is defined by a set of axioms. It is a closed functional system, just like mathematics.
 
No, it isn't. You simply left out the intermediate steps getting to that conclusion.

It is raining.
I don't want to be rained on.
My choices to keep that from happening are a raincoat, umbrella, etc.
I have a raincoat but lack an umbrella.
I should wear a raincoat.
This part is more accurate. Logic is not involved here. It is simply a decision whether to wear a raincoat.
Inference is something like Democritus, a Greek philosopher, postulating that because you can divide things into smaller parts of the whole there must be something smaller than can be seen allowing that and called that thing atomos. He couldn't observe but only infer that atomos existed.
This is philosophy, not logic. However, it also conforms to the requirements of logic, even though it invented a concept (atomos).
 
Logic requires no data. It it is not information. It requires no fact. It is not inference.

Like mathematics, logic is defined by a set of axioms. It is a closed functional system, just like mathematics.
Those are the rules. But they are useless without data and information to run the equations, just like in mathematics.
 
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