Was just talking to a friend and according to him the end of the world is soon and part of the proof of this is the number of earthquakes is increasing which is a sign of the end.

He even stated that there has been more earthquakes in the last 100 years than the previous 1000.

How can we gather evidence to prove/disprove this very strong statement?

we should not
doing so would empower the fundies and give credence to their crapulous utterances

More earthquakes? There are thousands every day, and the instruments to detect them are getting better and more numerous. I don't believe it. In fact, there is some suggestion that global warming will reduce the movement of continental plates by reducing the temperature differential.

He even stated that there has been more earthquakes in the last 100 years than the previous 1000.

How can we gather evidence to prove/disprove this very strong statement?
AFAIK, there is no way to disprove this statement for the simple reason that we do not know how many earthquakes occurred between 1909 and 2008, let alone between 909 and 1908. There is of course no way to prove the statement, either. This sounds like religious psychoceramics. Crackpots tend to think that once they make a goofball claim, the claim is true until science proves it false. That is not how science works. The burden of proof in science falls on the person making a claim. Moreover, this is an extraordinary claim, and extraordinary claims require extraordinary evidence.

That we are observing more earthquakes now than ever before is a result of have better instrumentation than ever before. It is not the result of more earthquakes now than ever before.