For an example nearer to a hacker's heart, take the "brain-in-a-vat" concept: http://en.wikipedia.org/wiki/Brain_in_a_vat
While science can't simulate this (well) for someone we can ask quite yet, I believe there's value in thinking about the implications of a fully simulated reality. This discussion was more or less started in the 1600's before we had any sort of technology that could remotely get us near to this. We still can't explore it yet, but it's a valid question and it's an important discussion on subjective reality.
I think it's very healthy and productive for people to ask and explore deeper questions about reality. To pretend that you can't study things without experiments is taking the scientific method. True, experimental evidence is required (in my mind and for most educated folks in our era) to confirm or disprove even the most well-founded theories. Still, there is a very abundant space of theories that are nearly impossible to prove. I feel there's value in discussing them, building conceptual models, and reasoning about them before science is ready.
PS: Think about how people talk about the landscape in a video game.
I think "brain in a vat" only makes a stronger case for mathematics. After all, in the end what else but information and it's transformation matters? Everything else can be stripped away. And stuck with pure information, I think we are talking maths.
PS: As to the few big questions like life after death there is nothing in philosophy that let's you tackle such questions.