I had a feeling once about Mathematics - that I saw it all. Depth beyond depth was revealed to me - the Byss and Abyss. I saw - as one might see the transit of Venus or even the Lord Mayor's Show - a quantity passing through infinity and changing its sign from plus to minus. I saw exactly why it happened and why the tergiversation was inevitable but it was after dinner and I let it go.
The Prussian Academy of Sciences is a fast-track academic institute that requires a proactive, hands-on-type individual to overthrow the Newtonian conception of the universe. The successful candidate will have an excellent command of mass, energy, space, time and some maths. Bonus paid upon completion of proofs
But the creative principle resides in mathematics. In a certain sense, therefore, I hold true that pure thought can grasp reality, as the ancients dreamed.
I know too well that these arguments from probabilities are imposters, and unless great caution is observed in the use of them, they are apt to be deceptive.
I want every math teacher to know math. I want every science teacher to have expertise in science. I want them to know how to inspire and engage young people.
We could use up two Eternities in learning all that is to be learned about our own world and the thousands of nations that have arisen and flourished and vanished from it. Mathematics alone would occupy me eight million years.