If you want to understand you need to put away the strawman.No. A lack of scientific spending will not damage the economy. Rather, a lack of scientific spending will keep us from finding answers that might save us.Scientific spending is a function of discretionary income. Cut the standard of living, you cut the scientific budget more. Trying to stretch things out as long as possible leaves no room for spending money to discover new things.
If the economy would collapse due to lack of spending on innovation if population was significantly below 8 billion, how is it that the economy and innovation did so well in the 20th century?
So, if there is a population that has 2x births per year and makes a major discovery every y years, why is that better than a population that has x births per year and makes a major discovery every 2y years? Either way, the number of births before the next major discovery is 2xy.
I am still trying to figure out how you know the second condition ends in failure.
You are treating scientific discovery as directly related to the population, but that's not how it works. Scientific discovery is a function of how much discretionary income people have. Lowering the standard of living lowers the % of effort that will go into science.