Terence Tao

And so, for someone who hasn't gone through the whole process of science education, it looks more and more suspicious because of that.

So, you know, we need more grounding.

I mean, I think, I mean, you know, there are scientists who do excellent outreach, but there's lots of science things that you can do at home.

There's lots of YouTube videos.

I did a YouTube video recently with Grant Sanderson.

We talked about this earlier.

But

how the ancient Greeks were able to measure things like the distance to the Moon, the distance to the Earth.

Using techniques that you could also replicate yourself, it doesn't all have to be like fancy space telescopes and very intimidating mathematics.

Change of perspective is really important.

You say travel broadens the mind.

This is intellectual travel.

Put yourself in the mind of the ancient Greeks or some other person, some other time period.

Make hypotheses, spherical cows, whatever.

Speculate.

And this is what mathematicians do and some artists do, actually.

If you propose axioms, then the mathematics does follow those axioms to their conclusions, and sometimes you can get quite a long way from initial hypotheses.

I have worked on some equations, there's something called the wave maps equation, or the sigma field model, which is not quite the equation of space-time gravity itself, but of certain fields that might exist on top of space-time.

So, Einstein's equations of relativity just describe space and time itself.

But then there's other fields that live on top of that.