Tangle writes:
The phrase "absence of evidence is not evidence of absence" has always bugged me. We throw it around all the time but I'm not sure we're using it correctly.
In isolation, that phrase is really useless. What we should be focusing on is the burden of proof and the processes by which induction and deduction work. In other words, positive claims require positive evidence, not simply a lack of evidence for other claims.
When it does apply is when we've not actually looked for the evidence or not looked properly, then it's simply an argument from ignorance.
How would you know if you have not looked properly? That's the problem.
Personally, I find the lack of evidence for an interventionist god where we should find such evidence - such as payer works, miracles happen, god changes the bread and wine into his body and blood at the eucharist, god loves me etc - actually is evidence founded on absence.
The burden of proof lies with those who claim divine intervention occurs. Their inability to supply this evidence is a good reason to tentatively reject their claims.