Is there no time?

From a Quora post September 2015

Is there no time?

The reactions to this question by both the scientific and general population are automatic and predictable in almost every post on the possibility of time not existing. Paraphrasing here: "Of course time exists. If time did not exist, everything would have at once" or "Our proven physics proves time exists because our equations require it to".

Why is this reaction so firm? Why do people defend the existence of time with such passion?

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