You can test a negative if it is possible / feasible to test every part of the universe under consideration.
E.g. if you say "there is no fire-breathing-Dragon in my closet" then the closet becomes the universe (i.e. everything) under consideration. You open the door - no Dragon - negative proven.
The difficulty comes from when the universe under consideration is not restricted... and is, literally, the Universe... and it therefore becomes untestable.
This is the case with such things as God, especially one that does not dwell in nor interact with the Universe it created... it is not possible to test its non-existence as it is, by definition, outside the maximum scope of testing (the Universe).
The obvious exception is when something is deemed to be logically impossible... a square sphere for example, and thus this logical impossibility can be said to be a proof of non-existence.
Agreed for the most part.
Though,one says there is a god,and he "proves" it by saying:
"There is a God, you can't touch him,or see him or listen to him ,he is everywhere,he knows everything,predicts the future etc etc"
Its like am saying to you: "There is an Invisible apple in my desk and if you wanna prove its Non-Existance you must do it only with your eyes!"
He limits you,just like in god theory,because god is an Omni being and you can't examine it directly.
BUT,its not EXACTLY how it works Sarkus.
Because the first thing you do is:
ASK the one who makes the STATEMENT,ask him WHY DOES HE THINK THERE IS AN INVISIBLE APPLE OR WHY HE THINKS THERE IS A GOD.
And if you examine those REASONS that makes him believe in god or invi apples,which are: because he saw a strange light,or because he can't explain thunderbolts etc etc.
And you realize its all explainable scientifically.
Saying "you can't disprove god" is
WRONG.
You just look at history,look at science and combine all of them with logic,
then you realize that we have WAY MORE than enough evidence to throw the whole god theory in to the garbage can.
So why they started believing in the first place?
Because its was long ago,there was no science,at least not like it is today,
people would believe and disbelieve in blink of an eye.
They believed it cause it was CONVENIENT,it gave them immortality and explained everything around them.
Why they still believe in stupid rotten ideas?
Cause many countries,beliefs,societies, etc are BUILT on those theories from earlier generations,its not easy.