Start-up or up-start

Have you noticed how close the words start-up and up-start are? Is there a link between them? If not, it should.

Some of the greatest start-up of the past decades have been up-starts. Think Starbucks, Google, Facebook, Twitter, Apple and so on. What do you think? Is there a link between them?

I got the idea by listening to Tuned In, a good book with some interesting ideas. They were taking about the up-start Starbucks.