/sci/ - Science & Math

So I'm watching Matrix Reloaded (awesome movie by the way, obviously it wasn't as original as the first one, but who was expecting it to be?)

And it got me thinking....

You know, does it really seem that unlikely to have this kind of technology in the next...200 years?

I mean since 1977, we went from the Apple II to where we're at today...That's just in 36 years.

So with that in mind, would a Matrix tier simulation really be unreasonable in 200 years?

Think about how amazing it'd be, to walk around in an Ancient Rome simulation, or a Wild West simulation.

I am back, I am >>3706485
>>3706444
>>3706412
>>3706398

I'll take this name.

>>3706590
>I'm not saying we should prepare against a certain threat or attack, as in a paranoid way.

But I do think we should be paranoid about threats. I do not want me or the civilisation to die, having made it to there. And I feel like there's a high chance that we will just fail and kill everything with us, or that we will have created SAI, but without us going with them (which is not that bad, but I'd really like to live and see this).

The changes are going to be so rapid, I think it will create huge chaos, or that humans won't just be able to follow and fail or die without making it there.

Say I have some sort of vector space over R defined by the set

<span class="math">{ (a ,-a, a) : a is an element of R }[/spoiler]

What sort of basis can I give this space?
((1, 0, 0), (0, 1, 0), (0, 0, 1)), is that a basis, even though it spans more than just this set? Does a basis have to span exactly the vector space, or can it span more as long as they are both the same dimension?