Olgratin_Magmatoe , (edited )

If I throw a jar of strawberry jam at your head, is that not an evil choice? You chose to make a sandwich with that jam, but someone else can choose to do something evil in the same situation.

You've missed the point of the example situation. Throwing the jar at a person's head isn't one of the available choices. The only choices available are ones that do not harm to anybody, and are in no way sinful. Yet despite that, there is still a choice, there is still decision making.

One my favorite books is Forever Peace, and in the book humanity has found a way to have digital connections directly into the human brain through a port at the base of the neck. The military uses it for remote control warfare drone warfare. The civilian population mainly uses it to connect directly into another partner during sex, which has the effect of feeling what both people are feeling mid-act. Eventually the protagonists find out that if people are connected in this manner for extended periods of time, they become "humanized", meaning they see all other humans as extensions of themselves, incapable of willingly harming other humans. They become pacifists to the extreme. The protagonists go on a fight against the government to humanize the entire world, and eventually they do so, ending all war and crime across the planet.

If free will was really so important to create us with, god could have done so in a manner similar to the humanized people from the book. They still have the ability to make decisions and chose things for themselves, but the option to harm others is never available. If god exists, they could have done something like that, maintaining this need for free will.

So it’s been mathematically proven that not everything in mathematics is provable. Seems paradoxical to me!

That's not a paradox. Just because some things can't be proven doesn't mean everything can't.

I guess that means the field of mathematics is just a weird superstition we should mock, right?

No, because nothing in mathematics requires everything to be provable.

Look through this list of mathematical proofs:

https://en.wikipedia.org/wiki/List_of_mathematical_proofs

Not a single one requires "all mathematical problems have a solution" to be a premise.

On the other hand, the false belief in a tri-omni god is in fact a prerequisite for a number of religions, and therefore are indeed weird superstitions deserving of mockery.

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