# Arbitrary achievements

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How many seconds have you been alive in your life?

Seriously, take a guess. Just pick the closest number that feels right. What did you think? One million? Ten million? A hundred million?!

This question is hard. As humans, we're not used to calculating or even guessing big numbers. We're not programmed for it; after all, it wouldn't have been much use to our ancestors. Really big numbers, really little numbers, and probabilities: these are things at which humans, quite frankly, are rubbish.

Behavioural economists and psychologists use this as an explanation for why many people take part in lotteries. Their models might show that it's mathematically rational to take part in the lottery if the first prize is \$100 million but not if it's under \$80 million, for example. While the math works, personally I doubt many people are thinking this way when they buy a ticket - "Oo, I'll only win \$80 million; might wait til it gets a bit higher...". Actually I think the real reason many people take part is not because they're ignorant that it's irrational (this fact gets shoved down our throats in high school math class), but rather because there's some extra enjoyment from being part of something, some big social event, that connects us in an abstract way.

But before I digress too far, let's get back to the question at hand. If you guessed 1 million, or even 10 million, I'm afraid you passed that milestone long before your first birthday. And unless you're an extremely bright three-year-old reading this, 100 million was also off. It turns out that 1 billion is quite a close ballpark estimate for the number of seconds in one's life, a milestone which a person hits before their 32nd birthday.

(Incidentally, one of my friends guessed a trillion, which would make him former chums with the first homo sapiens around 30,000 BC.)

I brought up this topic because, as many of you know, I hate birthdays. But I love symbolism, and silly math. I'm the sort of person who, on my friend's recent 27th birthday, wished her "a long and happy life well beyond your next cubic birthday." And so it was that, having bugged my mum to dig up the timestamp on my birth certificate, I was (I presume) one of the few people consciously aware of the milestone when I ticked on to my one billionth second on earth.

(Want to work out when's your billionth second, or your own arbitrary milestones? You can find a calculator here.)

Someone, breaking time down into its smallest practical unit adds a weird perspective on things. As in, we can physically note the passing of time if we count the seconds - you are getting older now, and now, and now. Depressing. A cheerier question is: What was the most memorable second in your life to date? Not moment, or event (though it's likely part of one), but second. What was the scariest? The happiest? Can you remember your angriest second? Which of your seconds had the most impact on another person's life?

Perhaps I'm just in a philosophical mood. After all, I hit the big ten-digits yesterday. Unfortunately, the moment was during a seminar at work so I couldn't whoop for joy or interrupt the invited speaker to pronounce my new-found ancientry. (Cool word, huh? You learn these things when you get to my age.)

But I look forward to discussing all of these questions over coffee in half an hour, when I am forcing my colleagues to celebrate the landmark with me. I've copied the invitation email below.

From: David Smerdon

To: CREED mailing list

Abstract:  There will be some cookies (of dubious quality, but free consumption) available in the kitchen at 11:00.

Keywords:  Minimum effort; Public goods game; Free-riding; Reference dependence; Hyperbolic discounting

At the beginning of Alexander’s seminar yesterday afternoon, I must confess I was watching the clock. Only briefly, mind you; I was watching it until exactly 16:05.40, and then I turned back to the speaker (“What about guns?”, you may recall I asked, in a desperate attempt to cover my distraction).

Why this exact time? Well, as many of you know, I have limited enthusiasm for birthdays, and I abhor my own. But at this moment, I passed a milestone that we each get to achieve only once in our lives: I had been alive for one billion seconds.

Unfortunately, as I discovered last night, with great wisdom does not come great baking prowess and my efforts to replicate the Anzac biscuits of last month were a bit of a disaster. They look like the earwax of a giant with dandruff. But I offer them to you anyway, along with an invitation to a short coffee break at 11:00.

Now I know some of you will question this achievement. You may want to ask how I exactly know the precise second I was born. You may also protest that the issue is more a philosophical one about when life begins, or quip with glee that one billion is itself quite arbitrary - “After all, we get to achieve each new second only once in our lives!”

You, my friend, will not get a cookie.

- David

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