When mathematics cause we can not get out of the limits of logic, then surely there are things that are yet to be revealed. It is actually everything should achieve a balance in pairs. This means that we have not thought about anything beyond the limits of logic.
I am surprised at your statement:"there is no math anymore".Could you elaborate please?. Can we imagine any progress in engineering and technology without Math?
Mathematics is the mother/basis of science and Logic is a basic element of math.a according to Richard Courant:
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Richard Courant
On the Role of logic in discovery of elemental laws
There is no logical way to the discovery of these elemental laws. There is only the way of intuition, which is helped by a feeling for the order lying behind the appearance. -Albert Einstein
There's an old good word dualism - binary oppositions everywhere. There is nothing wrong or sad. It permeate mathematics too. One may produce a dichotomy in the already known - yet unknown opposition any number of times. Gödel's theorem clearly alludes, that you will not take all the answers.
It is best to ask Achilles about frustration. He more than anyone else confirm that there is no reason to despair. After all, he has the best pair ever. The devil is in the details :)
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