Ok
Let's look
I suggest that we have a continuum of definition here ranging from industrial revolutions/exogenous inputs to better machines/technological progress. I think that we might be at different places along that continuum with our respective definitions.
I see this example as a 'better machine', i.e. management controls
'Better machine', i.e. policy controls.
Unpredictable exogenous input - 'act of god'
Mixture....'act of god' plus 'better machine' - farming techniques
Going to my point that exogenous inputs are unpredictable and thus difficult to model.
I would classify this as being able to be modeled, and, thus defined as 'better machine'
Although I am not currently aware of any papers, I wonder how long until 'big data'/cheap computing power/huge databases will sufficiently expand modeling frontiers in order to help tighten the definitions used when discussing this topic...components of economic growth...exogenous inputs vs technological progress.
I would offer Thomas Savery's work (invention of the steam engine) as an exogenous input/industrial revolution and James Watt's work as an example of a technological progress/better machine. Similarly for electricity Ben Franklin (arguable considering the recent rediscovery of the Baghdad Battery) for the exogenous input and Nikola Tesla and Thomas Edison for technological progress. Finally Alan Turing's work for the exogenous input and Steve Jobs for the technological progress description with respect to computing.
When thinking about this topic I contrast the often qualitative answers provided by economics with the quantitative answers provided by science & engineering. Although exogenous inputs are an example of a nonlinear stochastic process, IMO economics still has a ways to travel yet before it can provide satisfactory answers to the questions we pose.
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