Lets make fun of Obama while he is still relevant.

[Mikebert]

(12-06-2016, 12:59 AM)Warren Dew Wrote: I went to MIT; I do the equations and inequalities in my head.  But sure, I can write them down for you, if that helps you understand the point:

d(GDP/worker)/dt / (GDP/worker) > 0 (percentage individual worker productivity increases)

d(workers)/dt / workers < - d(GDP/worker)/dt / (GDP/worker)
    (percentage worker population decreases faster than percentage worker productivity increases)

d(GDP)/dt / GDP = d(workers*GDP/worker)/dt / (workers*GDP/worker)
    = (GDP/worker * d(workers)/dt + workers * d(GDP/worker)/dt) / (workers*GDP/worker)
 

[b]d(GDP)/dt / GDP  = d(workers)dt / workers + d(GDP/worker)/dt / GDP/worker[/b]

This seems right. I will write it as:
 
1/GDP GDP’ = 1/LF LF’ + 1/P P’ where LF is labor force and P is worker productivity (GDP/LF) or in English
 
GDP growth  = productivity growth + worker growth (all relative (%) rates)

All you are saying is that worker productivity rises slower than worker number rises.  That is, you are assuming GDP growth is negative. You then use this to show that GDP growth is negative. But you already assumed this, its tautological.