In January 2025 computer scientist Simon Peyton Jones gave an inspiring lecture at Darwin College Cambridge on “Bits with Soul” about the joy, beauty, and creativity of computer science … from simple ideas of data representation comes all of virtual reality.
Our universe is built from elementary particles: quarks, electrons and the like. Out of quarks come protons and neutrons. Put those together with electrons in different ways to get different atoms. From atoms are built molecules, and from there on come ever more complexity including the amazing reality of planets and suns, humans, trees, mushrooms and more. From small things ever more complex things are built and ultimately all of creation.
The virtual world of our creation is made of bits combined using binary, but what are bits, and what is binary? Here is a puzzle that Simon Peyton Jones was set by his teacher as a child to solve, to help him think about it. Once you have worked it out then think about how things might be built from bits: numbers, letters, words, novels, sounds, music, images, videos, banking systems, game worlds … and now artificial intelligences?
A bank cashier has a difficult customer. They always arrive in a rush wanting some amount of money, always up to £1000 in whole pounds, but a different amount from day to day. They want it instantly and are always angry at the wait while it is counted out. The cashier hatches a plan. She will have ready each day a set of envelopes that will each contain a different amount of money. By giving the customer the right set of envelope(s) she will be able to hand over the amount asked for immediately. Her first thought had been to have one envelope with £1 in, one envelope with £2 in, one with £3 and so on up to an envelope with £1000 in. However, that takes 1000 envelopes. That’s no good. With a little thought though she realised she could do it with only 10 envelopes if she puts the right amount of money in each. How much does she put in each of the 10 envelopes that allows her to give the customer whatever amount they ask for just by handing over a set of those envelopes?
Simon Peyton Jones gives the answer to the puzzle in the talk and also explores how, from bits, come everything we have built on computers with all their beauty and complexity. Watch the video of Simon’s talk on youtube to find out. [EXTERNAL]
– Paul Curzon, Queen Mary University of London (inspired by Simon’s talk as I hope you will be)
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