But the problem is that there's no actual reason to use science. Science only works under the assumption that what has happened in the past is likely to continue into the future. Once you realize you have no basis for that assumption, everything falls apart.

Of course, we have to make that assumption. It's ingrained into our brains. We wouldn't be able to live without it. But it is strange to realize that we can't actually find a rational basis for it at all (or none that anyone's been able to come up with).