Well, there are worldviews where all worldviews except one's own are based on assumptions. One's own worldview is based on Obvious Truths. Your statement above is based on an assumption that one's own world view isn't special.
Some consider Science to be special, that the nature of its core assumptions make it unique. Of course, some believe the Bible to be special too, as are worldviews based on an assumption of literal Biblical Truth. As a general rule of thumb, I sort of expect everyone to believe that their own worldview and values are special. This might almost be a Universal Truth, that all worldviews include a clause which states they are uniquely True. Simply stated, "I'm right and everyone else is wrong."
Vandal? There are rules of science that professionals ought to know to prevent them from falling into Error. Part of his schtick is rubbing layman's noses in these rules. This diversion started with his denial that volcanic eruptions and hotspots can be roughly periodic. Some of them obviously are. Eric might have improperly assumed that because some of them are, all of them are apt to be. Yellowstone? We haven't enough data point to be sure, and even the most regular of periodic series might be expected to end eventually. We just don't know. No matter how long a hot spot has been inactive, one shouldn't ignore the possibility of a return to action.
This is not unrelated to a previous eruption of Vandal. As one storm can't prove global warming, three mega eruptions of Yellowstone can't establish a periodic behavior. Statistical methods have their limits. Vandal seems more obsessed than most with making people aware of the limits of statistics.
Still, at a common sense layman's level, if a threat has manifested in the past, it is fair game to assume that it might happen again, that the government has to consider whether to spend money and effort to prepare for such events. Past history is fair game as a tool for how many resources should be set aside for any given threat.
There was a big quake in New England in colonial times. There might or might not be a similar quake in my lifetime. How many building code clauses and emergency preparation measures should Massachusetts push? Boston has a lot of brownstone apartment buildings and old Victorian triple deckers. Should they all be reinforced or torn down? No? At the moment, the Massachusetts policy is to require California standards for new construction but not to require retrofitting stuff that has already been built. Is this the correct answer? That might depend on one's values. How does one balance lives against economics in the face of uncertainty?
Science can say nothing definitive at this time. They might be able to do better in another decade or three. The field is advancing. Until then, one has to look at the history, make an educated guess, and acknowledge that people with different values will want to make different educated guesses. When science fails, one has to use common sense.
In these forums, one might want to avoid using scientific language when using common sense. Vandal is apt to throw a hissy fit and grind a thread to a halt for a time. Any use of probability without dotting all "I"s and crossing all "T"s is apt to set him off. He seems to think he is the Mona Lisa Vito of statistics.