To say it another way, the more days you are alive, the smaller amount of time a single 24 hour period represents of your total life so far - relative to the whole. It is getting smaller and smaller with each passing, additional day. This reminds me of the fantastic description of the natural log (and e) I found here.
I think the same process also applies to the tournament chips used in poker games. Big stacks have less value for each individual chip - because they have more of them. The short stack with 5 - $100 chips places a much greater value on each chip than the guy with 180 $100 chips.
Anyway - you can start sounding like a nutball when you start talking about time and the natural log, so I wanted to make sure I shared the link, in case someone interested in it comes along.