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**Why there is something rather than nothing?**

Think of all the possible ways that the world might be, down to every detail. There are infinitely many such possible ways. All these ways seem to be equally probable—which means that the probability of any one of these infinite possibilities actually occurring seems to be zero, and yet one of them happened. “Now, there’s only one way for there to be Nothing, right?” There are no variants in Nothing; there being Nothing at all is a single state of affairs. And it’s a total state of affairs; that is, it settles everything—every possible proposition has its truth value settled, true or false, usually false, by there being Nothing. So if Nothing is one way for reality to be, and if the total number of ways for reality to be are infinite, and if all such infinite ways are equally probable so that the probability of any one of them is [essentially] zero, then the probability of ‘there being Nothing’ is also [essentially] zero.” Because there are an infinite number of potential worlds, each specific world would have a zero probability of existing, and because Nothing is only one of these potential worlds—there can be only one kind of Nothing—the probabilily of Nothing existing is zero.

http://www.scienceandreligiontoday.com/2009/06/05/why-is-there-something-rather-than-nothing/

So he is arguing that if you have a lottery with an infinite number of combinations , there is only 1 number that corresponds to nothingness (the empty set). The chances of picking that number among all the others is essentially 0, so that isn't going to happen. I guess he's trying to say that the universe exists because existence is far more probable than non-existence.

"We can use the axiom of extensionality to show that there is only one empty set. Since it is unique we can name it. It is called the empty set (denoted by { } or ∅)."

http://en.wikipedia.org/wiki/Axiom_of_the_empty_set

Does the argument sound persuasive?