Point taken. But it's interesting that the example you give is one of exponential decay rather than exponential growth, which is the context of this discussion. Where in nature has anything ever grown exponentially in perpetuity? Bacteria in a petri dish multiply exponentially. Until they don't.
reply> Where in nature has anything ever grown exponentially in perpetuity?
replyyou could make the argument for human total GDP, which looks like https://ourworldindata.org/grapher/global-gdp-over-the-long-..., but then again, you could say we just haven't reached the sigmoid in it. I personally doubt we will