The fallacy known as
appeal to ignorance has two forms:
- The fact that p is not known to be false is taken as a reason to believe that p is true.
For example:
- We don't know that it is not the case that Pegasus exists.
- Therefore, Pegasus exists.
More schematically:
- We don't know that not-p.
- Therefore, p.
- The fact that p is not known to be true is taken as a reason to believe that p is false.
For example:
- We don't know that it is the case that Pegasus exists.
- Therefore, Pegasus does not exist.
More schematically:
- We don't know that p.
- Therefore, not-p.
Now, suppose that one argues as follows:
- We don't know that it is the case that Pegasus exists.
- Therefore, to all intents and purposes, Pegasus does not exist.
Similarly:
- We don't know that it is not the case that Pegasus exists.
- Therefore, to all intents and purposes, Pegasus exists.
Which of these, if any, seems like a legitimate inference to make?
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