Bigger picture means better bigger prints. It's that simple

and of course the amount of details that the camera can take in also increases.

wah, u are here oledi 
he is right, higher pixels means u captured more details (details here can be information u want or noise!) and enable u for more cropping opportunity.

BUT, higher pixel on small sensor means u get noise. Let's imagine we both have a land with same area and u build a lot of buildings made it so cramped, while i only build few houses or building made it much spacious.

For sensor in PnS, like 1/1.8" size (as in F31fd), maximum MP for minimum noise is 6MP. Now i wonder how those PnS/prosumer with 1/2.5" size sensor can fit in 10MP 

It's not the amount of MP you have, it's the pixel pitch that counts if quality is concerned.

As a rule of thumb, higher MP means you can print bigger photos but not necessarily better quality. Sharpness do not depend on MP, it's lens dependent.

Having more MP also means that you have more freedom of cropping should you only print 4R size.

FYI, a PnS with 12MP will never outperform a dSLR with even as low as 5MP.

human area always like tat...the bigger the better