I'll just post this again from retep's ridiculous video thread, since I don't see enough people arguing the point about Moore's law. Moore's law means that even with no blocksize limit, we will be able to store the blockchain on PCs forever.
The blockchain is not currently increasing in size linearly in a straight line, as you can see here:
http://blockchain.info/charts/blocks-size?timespan=all&showDataPoints=false&daysAverageString=1&show_header=true&scale=0&address=It is increasing exponentially because we are in the adoption stage where more users are added. Once bitcoin reaches its potential market size, or once it hits a blocksize limit, the blockchain size will increase linearly. We will never see sustained exponential growth in the number of monetary transactions that humans need to conduct.
Bitcoin merchant adoption and transaction fees have grown 1000% over last year, which is an extremely high rate that temporarily outpaces hard drive capacity growth, but this cannot be sustained very long. Hard drive space and internet speed show no signs of slowing their exponential growth rates, so they will always outpace the bitcoin blockchain in the long run. Exponential growth will always win out over linear growth. People will be able to store the blockchain on their personal computers forever. Removing the blocksize limit doesn't change that.
There was a recent article in Bitcoin Magazine that analysed the blockchain size, but most of their articles are not available online. The article looked at some worst case scenarios, and even using really conservative estimates, 20 years from now people will easily be able to store the whole blockchain on their phone and download the whole thing in a few hours.
Hard drive capacity over time:

World internet bandwith over time:

World internet bandwidth is smashing the pace of Moore's law. Tor bandwidth also follows Moore's law.
1980: 300 baud
1990: 14.4k
2000: 384k dsl
2010: 20mb cable
2013: 1000mb fiber
Storage capacity is also likely to have radical breakthroughs that smash the pace of Moore's law.