If the Sun were to explode we could not know of it until eight minutes later,

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If the Sun were to explode we could not know of it until eight minutes later, because that is how long it takes for light to travel from the Sun to Earth. So for eight minutes we would see an unexploded Sun, while the real sun would be exploded. It follows that we do not see the real Sun. But everything we see must be later than reality, because of the time it takes light to travel from reality to our eyes, so nothing we see is real. Can this be true?