A day for any date - Calendar calculations
As a follow up to my previous post on autistic savants, I mentioned in that article that savants can often perform incredible calendar feats. My mum, a psychologist, used to work with a boy who could, given any date, tell you what day of the week it was. He explained it with a combination of intuition and mathematics (”I knew that mum’s birthday was on a Wednesday last year, and so 8 years before that it would have been a Monday, so September 20th must have been a Friday.” (I completely made up those days…))
I got interested in this, and found that there are a number of ways to do it mathematically while only having to memorise a few simple numbers. Lewis Caroll (of Alice in Wonderland fame) worked out one method, which is what I use - it’s very algorithmic, and can be done for any date (I use a slight variation, which I might post at a later date). There’s also the Doomsday method, which notes that 4/4, 6/6, 8/8, 10/10, 12/12, 7/11, 11/7, 9/5 and 5/9 always fall on the same day each year (bizarre, isn’t it?!) Lots of variations can be found through Google (if you search for the right thing!) I never really practised much, but in my prime I could tell you the day for any date in the 1900’s in about 10-15 seconds, using Lewis Caroll’s method. Not bad, but not quite up to the level of a savant. Have a go, and see how quickly you can do it!
It makes me wonder what connection a savant’s abilities has with “intuition”, where you can predict an answer without consciously being aware of the process you used to obtain it. This can be very valuable in physics, as well as many other areas of life, as it helps to focus your research direction and give some idea of where you should be aiming for. Could we learn to make even intuition more quantitative, or is that a contradiction of terms?
Just googled (probably should have done that first
). I understand now - those dates are the same day of the week in any particular year and then there is another method for calculating what day of the week these “doomsdays” are for a particular year. Presumably there are many other sets of dates with this property, it’s just that those ones are particularly easy to memorise.
Yep, absolutely right - sorry, should have made that clearer. And you’re right, there are many dates during the year that fall on the same day as each other…as I type this, I realise there must be 52 (roughly) of them! But you’re right, it’s just a convenient coincidence that those ones are easy to remember (and it doesn’t matter whether you right day/month or month/day! Phew!)
I’m just not particularly good with counting on from days like that, but I’m quite good at mental arithmetic - so Lewis Carroll’s sheme works better for me.
Are you sure about those “doomsday” dates? According to my calender at least they fall one day of the week later each year (or two days of the week later following a leap year), just like any other day. I can’t see how any particular dates could behave specially with respect to which day of the week they occur on. Or am I misinterpreting what you said?