Eric Weinstein

So I was trying to get to something.

Do you have a problem with the way we do addition?

Don't know that.

We do do things where sometimes we can divide by zero.

We have concepts like the point at infinity where you can complete a structure that the original structure can't accommodate an operation, but you can complete it to a larger system in which that thing does become sensible.

So as an example of the one times one, assume that Terrence doesn't have a big problem with addition because addition doesn't have the division by zero problem.

It is the case that if you take any two numbers, A and B, two real numbers, right?

Make them positive.

And take the natural logs of those two numbers and add those together.

Then you take the exponent of that.

So we haven't done a times operation at all.

Right.

The exponential of the ln of A plus ln of B. That is equal to A times B. In other words, addition and multiplication are what we would say is isomorphic, or an ordinary person would say exactly the same thing.

So in other words, if you don't allow me multiplication, but you would allow me because you like waves.

So with waves, you need exponentials and you need natural logarithms.

There's no way of changing the law of multiplication and accepting the law of addition because they're the same system.

The precise statement would be that the positive real numbers under multiplication with the identity element being the multiplicative identity being one are isomorphic to the total real numbers under addition with the additive identity being zero.

And the natural logarithm and exponential are group homomorphisms that connect the two with one being the other's inverse.

So by the principle of explosion, the reason that people are in part going to freak out about your stuff is that we have a vulnerability.

And that vulnerability says that from a single contradiction, if you can sneak one contradiction through TSA, the entire airport collapses.