True, probability theory is merely a tool among many and shouldn't be used to attempt to solve every problem there is. However, the article is misleading about

True, probability theory is merely a tool among many and shouldn't be used to attempt to solve every problem there is. However, the article is misleading about the initial gif being any sort of argument against Bayesian probabilistic approaches, as it's precisely an argument for them. It's an argument against using point estimates and summary stats, as they obviously loose a lot of information and can be misleading (you can get the intuition from a CS perspective as well: compressing a 2D image into 4 numbers is necessarily an extremely lossy compression). Fully Bayesian approaches would maintain the distributions all the way through the calculations, rather than collapse them at some point to one or a few numbers summarizing the distribution.