Am sorry if this is a silly question.
I have heard something like this from cosmologists:
"There is no intrinsic arrow of time. Today, we believe that the direction of this arrow is due to our specific initial condition. For reasons unknown, we had a low-entropy Big Bang."
The words that I have in bold assume the Big Bang is in the past, it seems to me. Obviously, the physicists who said it did not mean what they said. They must have meant something else, but thought that too much rigor was unnecessary. So, can somebody explain to me what they mean when they say initial conditions and Big Bang causing an arrow of time?
EDIT: Sorry for not making sense. I will try to make my reasoning clear. I think that time-reversible laws means no time and here's why:
Time reversible laws means you can find out past states just as you can predict future states. But then doesn't it mean that there is no intrinsic difference between past and future. Nothing about the laws and their deductions will change if you swap their meanings. But then we have past and future as distinct ideas in our heads and from our experiences. So, shouldn't there be some time assymetry that can explain this.
Please correct me if my reasoning is fallacious.