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Laura Gao
Laura Gao

110 Followers

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Gödel’s First Incompleteness Theorem

There will always be math problems that cannot be answered. — You probably think that math is a purely logical, 100% consistent, black and white subject. Everything in math is either right or wrong: 1 +1 has only one correct answer, the solutions of 5x² + 6x + 1 = 0 are either 1 and -2.2 or they are not, and…

Mathematics

13 min read

Gödel’s First Incompleteness Theorem
Gödel’s First Incompleteness Theorem
Mathematics

13 min read


Sep 15, 2021

You Don’t Want to Know Your Future

The Philosophical Implications of a Sci-Fi Book — Note: the post contains some spoilers. If you would rather consume these ideas via the book, you can read it here for free. (It’s worth the 1 hour read trust me) I recently read the novella The Story of Your Life by Ted Chiang, and heck, it was some of…

Philosophy

8 min read

You Don’t Want to Know Your Future
You Don’t Want to Know Your Future
Philosophy

8 min read


Sep 6, 2021

A proof that superpositions collapse | Summary of 3b1b video “Some light quantum mechanics”

Electrical fields are vector fields, which means that each point in space has a force vector pointing in some direction. Depending on the charge of a particle and the magnitude and direction of this force vector, the charged particle will move in certain direction at certain speed. Magnetic fields are…

Quantum Physics

7 min read

A proof that superpositions collapse | Summary of 3b1b video “Some light quantum mechanics”
A proof that superpositions collapse | Summary of 3b1b video “Some light quantum mechanics”
Quantum Physics

7 min read


Apr 30, 2021

How to Filter 1 Litre of Water for 9 Cents

Aerogel Stress Balls for Industrial Wastewater Filtration — You are extremely lucky to be reading this sentence right now. I often hear talk about the role that luck plays in success — as part of the classic hard work vs luck debate. However, what is less often talked about is how lucky we all already are. If you…

Water

19 min read

How to Filter 1 Litre of Water for 9 Cents
How to Filter 1 Litre of Water for 9 Cents
Water

19 min read


Jan 25, 2021

Strengthening Old Friendships

Networking isn’t just having one-time calls to meet new people, but also staying in touch with the people you already know. — I want to strengthen my friendships. I’ve fallen out of touch with the majority of my school friends because we’re no longer in the same class for online school; I haven’t seen them since pre-covid. That’s 10 months ago! …

Friendship

4 min read

Strengthening Old Friendships
Strengthening Old Friendships
Friendship

4 min read


Jan 9, 2021

The Beautiful Ingenuity of Parallel Worlds

Quantum Physics Explained Intuitively from the Ground Up — Once upon a time, you were a playful, curious, physicist. Your physicist alter-ego is given a screen and a canvas. The screen has two slits in it.

Quantum Physics

15 min read

The Beautiful Ingenuity of Parallel Worlds
The Beautiful Ingenuity of Parallel Worlds
Quantum Physics

15 min read


Dec 31, 2020

I Started a Weekly Mindset Podcast

How I make the most out of Mindsets of the Week — At TKS, we learn new mindset each week dubbed the Mindset of the Week (MOTW). A few that I wouldn’t mind written on every door: Figure it out: Getting access to any information you want is a breeze. Take action into your own hands to try to solve problems…

Self Improvement

4 min read

I Started a Weekly Mindset Podcast
I Started a Weekly Mindset Podcast
Self Improvement

4 min read


Oct 17, 2020

The Future of Healthcare is Preventative

There’s a 50% chance you’ll die from a 100% preventable disease. — Update: Made a video! (2 min) We’ve grown so accustomed to our current state of healthcare that it’s easy to forget how recent all the advancements were. Tuberculosis and smallpox were the main causes of deaths for centuries, and are now just commonplace names that hold no feelings. …

Healthcare

7 min read

The Future of Healthcare is Preventative
The Future of Healthcare is Preventative
Healthcare

7 min read

Laura Gao

Laura Gao

110 Followers

Quantum software intern @ Zapata Computing. More work: lauragao.ca

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