gwern comments on The Math of When to Self-Improve - Less Wrong

6 Post author: John_Maxwell_IV 15 May 2010 08:35PM

You are viewing a comment permalink. View the original post to see all comments and the full post content.

Comments (69)

You are viewing a single comment's thread. Show more comments above.

Comment author: gwern 12 August 2010 10:00:04AM *  1 point [-]

I think it comes from the units in the definition of g:

(For example, if working on improving their tools currently offers the software developer the opportunity to improve their wealth creation skills at a rate of a 50% increase in their ability per year, their growth factor would be 1.5.) We'll call that g for growth.

At that point, you've accounted for current present value of your current skills, but now you want to add in the value of future growth. The '1' in '1.5' is what you have now, and is always what you have now by definition; the '.5' is additional growth. To remove what you already have, you do '-1'. Hence you multiply by 'g-1'

Comment author: PhilGoetz 18 August 2010 03:54:00PM 1 point [-]

Oh, right. I was forgetting he defined g that way. Thanks!