We don’t really understand

We don’t really understand exponential growth. It’s too hard to comprehend because when we look at growth, we tend to focus on what we’ve seen already, and project forward, but what has already happened is always less significant in length or size than what is still to come. So when we compare what has happened already to what is still to come, we are not comparing equal things.

Fold a piece of paper in half 6 times. How thick do you think the stack would be? Let’s have some fun and look at the folding paper challenge:

It was an accepted belief that folding a piece of paper in half more than 8 times was impossible. On 27 January 2002, high school student, Britney Gallivan, of Pomona, California, USA, folded a single piece of paper in half 12 times and was the first person to fold a single piece paper in half 9, 10, 11, and 12 times. The tissue paper used was 4,000 ft (1,219 m; 0.75 miles) long. ~ GuinnessWorldRecords.com

So she needed a 4,000 foot, (1,219 metres) long piece of paper to achieve this. It’s easy to look at this image of her folded paper and figure out how big it was at 11 folds and before that 10 folds, by halving the amount once then twice. But what if she were to fold the paper more times? How many more times would this image represent?

This image represents folding the paper just 3 more times… a total of just 15 folds.

At 23 folds this would be about a kilometre high (3,280 feet). At 30 folds, you would be entering space. 42 folds gets you to the moon. The 51st fold would get you to the sun. Beyond that it doesn’t matter because our brains won’t truly appreciate the scale anyway.

So I can see the difference that folding a piece of paper just 6 times (64 pieces of paper high) to 12 times (the first image of Brittany above) looks like, but I really struggle to extrapolate from this that 24 folds would be 2 kilometres high.

So when we look at things like technological advancements, we don’t really see well into the future. When I bought the 16k adapter for my Commodore VIC 20 computer to get me to a whopping 36k of memory, I could not fathom the idea that I’d one day be buying 2 Terabytes of memory to store photos that were 8 megabytes large. And I’ll have an even harder time imagining what kind of data I’ll be storing 10 or 20 years from now.

Watch out Metaverse here we come! What does this mean? It means that in 20 years we’ll look back at the technology we have right now in the same way someone who lived 160 years ago would look at our technology today.

That’s mind blowing!

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2 thoughts on “We don’t really understand

  1. Pingback: OTR Links 12/18/2021 | doug — off the record

  2. Pingback: The answer doesn’t seem right | Daily-Ink by David Truss

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