For each of the following enthymemes, identify the premise(s) and the conclusion, and fill in any missing premises or missing conclusions. If possible, fill in what is missing in such a way as to make the arguments valid.
It is possible that nothing exists. Therefore, there is no necessary being.
Enthymemes are arguments with missing premises or conclusions. In order to analyze the given enthymeme, let's first identify the premise(s) and conclusion that are explicitly stated:
Premise: It is possible that nothing exists.
Conclusion: Therefore, there is no necessary being.
Based on the information provided, it seems that the argument is incomplete since there is no explicit missing premise or conclusion. However, we can identify a missing premise to make the argument valid. One possible missing premise could be:
Missing Premise: If it is possible that nothing exists, then there is no necessary being.
With this additional premise, the argument can be restructured as follows:
Premise 1: It is possible that nothing exists.
Premise 2: If it is possible that nothing exists, then there is no necessary being.
Conclusion: Therefore, there is no necessary being.
Now, the argument becomes valid as the conclusion logically follows from the premises. However, it's important to note that this is just one possible way to fill in the missing premise. Different premises can lead to different valid arguments.