Physics · Mathematics
Isaac Newton
1643 – 1727 · Woolsthorpe, England
One law for an apple and the Moon.
Newton's own thought experiment: a cannon on a very tall mountain. Too slow and the ball falls back. At 7.9 km/s the ground curves away as fast as the ball falls, so it orbits. At 11.2 km/s it escapes Earth.
01
The plague years
Cambridge closed in 1665 because of the plague, and the young graduate went home to the family farm. Over about eighteen months he worked out the method of fluxions (calculus), split white light with prisms, and began to ask whether the force that drops an apple also holds the Moon.
He published almost none of it for years. Calculus waited until a bitter priority fight with Leibniz, who had found it independently and whose dx and ∫ notation won.
02
Light is a mixture
Passing sunlight through a prism gave a spread of colours. His crucial experiment sent one colour through a second prism: it bent again but stayed the same colour. White light is not pure; it is all the colours together.
Lenses smear colours, so in 1668 he built a reflecting telescope that used a curved mirror instead. Most big research telescopes today are reflectors.
03
The Principia
In 1687 Edmond Halley paid to print the Principia. It states three laws of motion and one law of gravity: every mass pulls every other mass with a force that falls with the square of the distance.
With those few rules he derived Kepler's orbits, the tides, and the flattening of the Earth at the poles. Heaven and Earth obeyed the same mathematics for the first time.
04
The Mint
In 1696 he left Cambridge to run the Royal Mint in London, first as Warden and then as Master. He reorganised the recoinage and pursued counterfeiters in person. He became President of the Royal Society in 1703 and was knighted in 1705.
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How they thought
Strip it to a law
Find the fewest rules that predict the most, then derive everything else from them.
Test with a crucial experiment
Design one test whose result can only go one way if the idea is right, like the second prism.
Invent the tool you need
When existing mathematics could not describe changing motion, he built calculus to do it.
Think it through in your head first
The cannon on the mountain needs no cannon: follow the idea to its limit and see what must happen.
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Timeline
1661
Enters Trinity College, Cambridge.
1665–66
Plague years at home: calculus, colour and gravity.
1668
Builds a reflecting telescope.
1687
Publishes the Principia, the laws of motion and universal gravitation.
1696
Takes charge of the Royal Mint.
1704
Publishes Opticks.
1727
Dies and is buried in Westminster Abbey.
“
In their own words
“If I have seen further it is by standing on the shoulders of Giants.”
“Hypotheses non fingo. (I frame no hypotheses.)”
I
Train your brain
Mastered 0 / 6
Why did Newton go home in 1665?
II
Train the machine
166 lines to learn, 38 held back. Names are removed. Random batches, dropout and noise make each seed take its own path.