Absense of evidence means you have no proof that something does or doesn’t exist. Evidence of absense means you have proof that something does not exist.
If I accuse you of having a secret bank account, you’ll have a hard time proving you don’t. You’ll ask why you should even have that bank account? I’ll claim to hide money. You ask where the bank statements are from that account? I’ll claim you burned them to hide the account. If we go to every bank in town and you don’t have an account with any of them, I’ll claim it’s a bank in a foreign country.
I have no proof that you do have this account, but you have no proof that you don’t have it either. My absense of evidence isn’t your evidence of absense.
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