How can time really exist? If you think about it, threre is an immeasurably short time which is the present which is ever changing. It is commonly accepted that that which cannot be measured cannot physically exsist. I think that we understand the present the way we do because of the past, and predict the future due to the past and present. But, there is effectively no actual past or future. The present doesn't even exist because the point in which it exists is so brief that by the time we perceive its existence, it is part of the past, which is impossible. So, how can time really exist?
I'd go along with Peter Smith's answer, but I figured I'd just take the occasion to point you in the direction of a couple of classic discussions in this area, which you might be interested in following up. First, your question is startlingly close to a problem raised by Saint Augustine at the end of the fourth century AD -- you're in good company! If you're not already familiar with Augustine's discussion, it's in his Confessions , book 11, paragraphs 17 to 38, pages 168 to 174 in this edition . I don't know how much his own solution to the problem would actually appeal to you, which is effectively to say that time only really exists in the mind, the past in memory, the present in sight or consideration, and the future in expectation. But another way around the problem is suggested by J.E. McTaggart's article, 'The Unreality of Time', first published in the journal Mind in 1908 and available online here . McTaggart lays out various alternative ways of thinking about time, and it's up to you...
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