May be you are mistaking two simple obvious facts. I agree that as soon as mind exists then automatically logical truth exist. But because these two are so close together you are mistaking one and forgetting the other.
Was the sky always blue, or did it become blue once humans named the color?
Logic and reason is used by the mind to figure out how reality works. They are tools much like naming colors is a language tool used by humans. Reality doesn't need minds using logic in order for it to work. However, minds need to use reason and logic to figure out how reality works.
You are putting the cart in front of the horse.
Through physics we increasingly become aware that information plays a fundamental role in the structure of universe. Per our experience, information is created by mind.
In physics, information is produced every time two particles interact. Information does not require a mind.
So 1+1=2 is a higher reality and truth than the physical world and its existence is a requirement for physics.
The physical world did just fine before humans invented math. Also, the physical world is not so simple as 1+1=2. For example, when you smash two particles together you get more mass out of the collision than the rest mass of the particles you began with. With vacuum energy we get a net positive energy from zero.
Also, there is no such thing as a higher reality. There is reality and then there is reality.
My question was assume that there is no mind and we have a random soup of energy and mass in existence. How can you create a 'necessary truth' from it?
In your scenario there is no "you".
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