The current Gregorian calendar does not have 0 CE! Because 0 CE means there is no such year! The calendar directly jumps from 1 BCE to 1 CE which is quite natural when you consider the definition of Zero
The Nothingness of Zero (147 KB)
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Hi Gurudev,
nice to c u started bloggin ‘gain. It really invokes my fascination of ‘zero’ all the time, i think bout mathematics. Indeed, one cannot understand simple maths without interpreting mathematical expressions or formulae. And every time I tell students just dont by heart the mathematical formulae. First understand how it’s derived & why is it so. Understanding the physical interpretation is also important thing while learning maths or related subjects.
P.S. Just a word of suggestion! The article wud look perfect under category ‘Philosophy’, if u wud have defined one in ur sitemap.
True Vinchenz, this article is more suitable to be under Philosophy, unfortunately I havent setup one. Will have it setup for similar articles in the future
good read…. but could you also explain factorials in the same manner.. i.e. 3 ! = 3x2x1 = 6 and 1 ! = 1 .. but then why is 0 ! = 1 ???
Sure Dipan, will write one soon
To be quick, Factorial 0 is 1 because
!n = !(n+1) / (n+1)
Like !8=!9/9, !3=4x3x2x1/4 etc
so
!3=!4/4
!2=!3/3
!1=!2/2
!0=!1/1=1
Basically it can be viewed like this,
Factorial is the number of ways in which we can order a set of n numbers.
When there is only one number we can order it in only one way which is why !1=1
When there are zero numbers (ie empty set) even that can be ordered in only one way which is why !0=1
Hope this helps
Cheers
Gurudev