C.Hess:
1. Everything that begins to exist has a cause
2. The universe began to exist
3. Therefore the universe has a cause
What's wrong with this argument?
Since you posted this under the Spirituality Forum, I assumed there was to be some connection with the God or gods of creation. If not, one can analyze the argument on a purely cosmological basis without reference to divinity. Something as follows:
Ancillary considerations to Premiss 1. above:
Theorem 1. A cause must be distinct from its effect in both time and space. If it is not, then it is indistinguishable from its effect.
Theorem 2. If two things are indistinguishable, then they are not two things; they are one and the same thing.
Ancillary considerations to Premiss 3. above, in light of Theorems 1 & 2:
Theorem 3. If the universe had a cause, then the cause must have been distinct from the universe, in both time and space.
Hypothesis 4. Space and time came into existence when the universe did. 'Prior to the universe' there was no time and therefore no "prior" either. 'Outside the universe' there is no space, and therefore no "outside" either.
Clearly, Hypothesis 4 is incompatible with Theorem 3: if there was no "before the universe" and no "outside the universe", then the cause of the universe could not have been distinct from the universe, since there was no-where and no-when for it to exist distinct from its effect.
Therefore, either:
Conclusion 5. the universe had no cause
or
Conclusion 5' : the universe and it's cause are indistinguishable/identical.
--unless you can show that Hypothesis 4 is false.
Now, if someone wants to dispute Hypothesis 4 and maintain that space and time pre-existed the universe (in order to provide the putative cause of the universe some-where and some-when TO BE distinct from the universe), then we merely shift the locus of the original argument from "... therefore the universe has a cause" to "therefore time and space have a cause (or causes)": i.e., repeat all the theorems and hypotheses substituting "time and space" for "the universe."
Thus: before time, there was no temporally distinct 'when' from which time which could have been caused to come into existence; outside of space there was no spacially distinct 'where' from which space could have been caused to come into existence ....etc. Therefore the cause(s) of space and time cannot have been spacio-temporally distinct from space and time; therefore the same conclusions follow: either space and time were not caused (to come into existence), or their causes are identical with their effects.
Ah, but we're still not done mining this operation: even supposing that it could be proven that the universe HAD a cause, initially, it would require another argument to prove that that cause is still around and still operative. It might have extinguished itself in the moment of efficacy and disappeared/dissipated.
As other respondents here have pointed out, Premiss 1 is also disputable; any single instance (divine or empirical) of something which exists without cause (EDIT: "popping into existence" ) renders the conclusion doubtful (though not formally invalid).
Finally, it is a logical fallacy ("Fallacy of Composition" "Fallacy of Division" technical terms, google if unsure) to argue that what is true of the whole must be true of every part, or v.v. Example: every part of this engine weighs less than 10 kg, therefore the assembled engine weighs less than 10 kg. Pretty obvious, huh? The above argument, that the universe must have a cause because every event within the universe has a cause, commits this fallacy.
I hope to have shown that those two little premises and that one seemingly obvious conclusion conceal a massive load of assumptions and entail a massive load of additional considerations. Gad, what a waffle.... (PS I studied logic at university, this stuff is right up my alley.)
I'll give the last word to Ralph Waldo Emerson: "No one has ever yet had the slightest success in explaining existence."