It’s such a deep mystery why do fundamental entities of the universe (particles, fields, molecules) behave in a way that can be captured into neat little mathematical formulas.
This mystery *strongly* suggests the following..
1/ That if these entities behaved unpredictably, we wouldn’t have existed.
Composite systems like us who can ask questions like these can only be built on fundamental units whose behaviour is simple.
2/ That there may be universes where fundamental entities have unpredictable behaviour which can’t be captured by any formula.
Such universes possibly exist, but no being exists within them that can ask complex questions like this one.
3/ That possibly *all* mathematical structures instantiate a universe.
In only a subset of them, beings like us could exist.
It would be super cool if all such universes are ultimately isomorphic to one another. Just like the number 3 and ||| represent the same abstract concept
4/ If physical theories are modelled by maths because they’re maths, we shouldn’t be surprised at finding unexpected connections in physics (like spacetime being one thing, electromagnetism being one) because we can view the same mathematical object from different angles
5/ Of course, maths=physics can’t be proven. You can’t design an experiment to prove or disprove it.
So it’s a religious belief we have to adopt.
6/ But I’d rather believe that everything possible exists than be forced to accept that our universe is a special one with precise formulas for fundamental entities out of nowhere.
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Going through applications for our monthly grants to young people, noticed that the answer to "how will Rs 50k change your life" falls into following categories:
- Pay their course fee
- Buy a laptop
- Fund their NGO
- Start a small business
It hurts to see so many students struggling to pay their course fees because their parents can't afford it.
It's a failure of our nation that highly determined kids have to worry about how they'll pay for their college.
But, at the same time, it also hurts to see how much emphasis our society places on traditional college education.
With so many resources available on the Internet, high-quality self-education can effectively be done for free.
1/ As an entrepreneur, you worry about customers all the time.
Focusing on customers is obviously important but customers will never ask you to introduce switching costs, which are precisely what you should do in order to continue making profits.