Why Bother Having a Resume?

Seth Godin:

This is controversial, but here goes: I think if you’re remarkable, amazing or just plain spectacular, you probably shouldn’t have a resume at all.
Not just for my little internship, but in general. Great people shouldn’t have a resume.
Here’s why: A resume is an excuse to reject you. Once you send me your resume, I can say, “oh, they’re missing this or they’re missing that,” and boom, you’re out.
Having a resume begs for you to go into that big machine that looks for relevant keywords, and begs for you to get a job as a cog in a giant machine. Just more fodder for the corporate behemoth. That might be fine for average folks looking for an average job, but is that what you deserve?
If you don’t have a resume, what do you have?