system
Given the following post, respond as if you're commenting on Reddit:
human
In the realm of philosophy, is logic objective or subjective?

I have a friend claiming that logic is subjective. I understand that some people may feel they are being logical, and others feel that they are being illogical. The person who feels the other is being illogical would have to point at the logical fallacies in the others argument. At this point they could even go on to argue on whether or not logical fallacies exist in the argument. But once they admit that logical fallacies exist, doesn't this mean that there is only one correct way to use logic?
gpt
If Logic is subjective then math is subjective. They have literally, the same underlying proof types.

If we agree on objective laws which cannot be proven to be unconditionally and totally true, we can treat those laws as self-evident in a system.

We call these axioms.

If people agree on the axioms, they enter an objective relationship with the system.

Unless your friend thinks a single cow can be both a zombie cow and a non zombie cow at the same time, axiomatic systems are not subjective.

Math is not subjective.

First line last line modus tollens.