Yep. If you invest broadly enough, then shrug this off and consider that the market is on sale today. Your existing holdings will return to their yesterday prices at some point, and everything you buy in the meantime will have gone up.
Thinking rationally, we can see pretty obviously that this is a case of using the past to predict the future. It's never guaranteed to work, but since it tends to be the common sentiment shared among so many investors, it does become somewhat self-perpetuating. At the end of the day, the market does move based on sentiments, after all.
However, it probably is a good idea to try to shield yourself from potential downsides when this sentiments changes in the future (and it certainly can).
Your stocks from 1929 would not have recovered for quite a long time, but your stocks from 1925 would only take 6 years to get back in the black.