Productivity is kinda like GDP normalized against how many people were actually working. So if global war or famine destroyed your working population but your GDP stayed the same afterwards, that would represent an increased productivity.
From [1], "... labor productivity measures the amount of real gross domestic product (GDP) produced by an hour of labor"
The problem with that is labor is moving out of the economic system. Much more at the bottom than near the top where programmer laborers work, but it'll get here.
For example, walmart doesn't pay for employees food anymore because food stamps/EBT aka taxpayers pay for their employees food. Their labor no longer has a dollar value of food or their labor no longer pays for food, sorta. Their employees have left the legacy dollar based food marketplace. Similar things go on with medical care and no bennie jobs. If you believe in the new urbanism religion then people no longer own cars anymore, cars are certainly very expensive and basically unaffordable to the working poor, and someone else is funding the unprofitable mass transit systems... for now. Certainly people who can't afford cars are no longer part of the car economy.
The ultimate extreme of income inequality would be something like the last two unmerged corporations in the USA merge, creating trillions in merger fees as part of the GDP, which divided across many McJob hours would appear to make us all fabulously wealthy, but all the money is located somewhere else, and we all get our food from EBT and health care from medicare and housing has govt assistance leading to most people not really being involved in the legacy economy anymore.
Its not as far fetched as you'd think. There's only 100M full time jobs for 320M people. Two thirds of people live off one third of the people still working. That ratio will increase with automation.
From [1], "... labor productivity measures the amount of real gross domestic product (GDP) produced by an hour of labor"
[1] http://www.investopedia.com/terms/l/labor-productivity.asp
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