Tag Archives: brain

Logarithmic view of the world

Politicians and the media are fond of dazzling us with big numbers: $62m, £35bn, $1.1 tn.  All of these are unimaginable sums of money – uncountable and, for most us, unspendable.  They are respectively: the launch cost for SpaceX’s Falcon 9 rocket, the anticipated ‘divorce cost’ to the UK for leaving the EU and the predicted US government annual deficit for next year based on the additional spending approved in the budget bill early this month.  For most of us, winning $62m in a lottery would be a life-changing event that we might dream about but there’s only about a 1 in 14 million chance of it happening – oops, there’s another unimaginable number.

We seem quite happy handling numbers over a limited interval, from perhaps 1 in 100 [1% or 0.01] to maybe 100,000 but beyond this range our perspective ceases to be linear and probably becomes logarithmic (as in the graphic), or something similar.  In other words, we don’t perceive £35bn as being about 500 times larger than $62m, or $1.1tn being about 18 million times larger.  Instead, we concertina our mental picture into something more manageable, such as the image shown in the graphic.  Does this have the side-effect of lessening the impact of large numbers so that we are less alarmed by costs of £35bn or deficits of $1.1tn? Maybe we would take more notice of a cost of £500 per person in the UK or a deficit of $3600 per person per year in the USA?

At the other end of the scale, something similar happens.  Nanotechnology is a popular buzz word at the moment but few people can conceive of something 2.5 nanometres in diameter – that’s the diameter of a strand of DNA.  It doesn’t help much to tell you that a human hair is 40,000 times thicker!

Maybe, all of this only applies to those of us who ‘see’ numbers in pictorial patterns, and to the rest of you it is nonsensical.  See my post on Engineering Synaesthesia on September 21st, 2016.

Sources:

http://time.com/money/5135565/elon-musk-falcon-heavy-rocket-launch-cost/

https://www.theguardian.com/politics/2017/dec/31/tough-2017-what-does-next-year-hold-theresa-may

Financial Times, Weekend 10 February/11 February 2018.

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An expanding universe

I attended a workshop last month at which one of the speakers showed us this graphic.  It illustrates that the volume of information available to us has been approximately doubling every year.  In 2005, the digital universe was 130 Exabytes (billions of gigabytes) and by 2020 it is expected to have grown to about 40,000 Exabytes.  The second law of thermodynamics tells us that entropy or disorder of the physical universe is always increasing; so, is this also true for the digital universe?  Claude Shannon proposed that information is negentropy, which implies that an increasing growth in information represents a decrease in entropy and this seems to contradict the second law [see my post ‘Entropy on the brain‘ on November 29th, 2017].  Perhaps the issue is the definition of information – the word comes from the Latin: informare, which means to inform or to give someone knowledge.  I suspect that much of what we view on our digital screens does not inform and is data rather than information.  Our digital screens are akin to telescopes used to view the physical universe – they let us see what’s out there, but we have to do some processing of the data in order to convert it into knowledge.  It’s that last bit that can be stressful if we don’t have some control mechanisms available to limit the amount of disorder that we ask our brains to cope with – we are back to Gadget Stress [see my post on April 9th, 2014] and Digital Detox [see my post on August 10th, 2016].

Source: Atsufumi Hirohata, Department of Electronics, University of York www-users.york.ac.uk/~ah566/lectures/adv01_introduction.pps

Image: http://japan.digitaldj.network.com/articles/9538.html