Sorry if this question is too hard 
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Now seriously, I guess that those 2 are among the few problems that a human mind would never understand. I even puzzled for a few monents whether to post this question in the "mathematics" or "philosophy" section - but physics seems to be the appropriate between both.
Speaking of infinity: What happens if 2 bodies have always travelled in opposite directions? The answer that they will meet is a wrong answer, as it states that the space is not infinite and it can't answer the question "exactly when and how many times are they going to meet". Similar question is: if a coin is tossed infinite amount of times - how many times would we have H in a row? A trivial answer is: infinite amount of times. But if we have it infinite amount of times - then when are we going to have T with 50% probability?
Speaking of randomness: I am just thinking that it might be very easy to predict the state of a particle in quantum physics. How come??? Simply...using the laws implied by the general relativity - one can easily travel to the future(time dilation)...so - given such theoretical experiment: A particle is launched - you are trying to predict if the particle will pass throw some imaginary slip 1 or slip 2. Of course if you can travel to future - you would say that prediction is easy. The problem is that you can't travel to the past using Einstein's equations - so you still can't predict it in the classical sense. But you might know something other people are yet to know - so you are ahead of them and hence you are said to predict the state of the particle. So if one can travel back and forward in time - there will be no randomness.
But still...we face the subject in reality.I believe that the major problem is our brain: We can't understand infinity, because our brain is finite and we can't understand randomness because we take all our decisions based on something. If we had infinite brains and no memory - it would be easier.
. Now seriously, I guess that those 2 are among the few problems that a human mind would never understand. I even puzzled for a few monents whether to post this question in the "mathematics" or "philosophy" section - but physics seems to be the appropriate between both
.Speaking of infinity: What happens if 2 bodies have always travelled in opposite directions? The answer that they will meet is a wrong answer, as it states that the space is not infinite and it can't answer the question "exactly when and how many times are they going to meet". Similar question is: if a coin is tossed infinite amount of times - how many times would we have H in a row? A trivial answer is: infinite amount of times. But if we have it infinite amount of times - then when are we going to have T with 50% probability?
Speaking of randomness: I am just thinking that it might be very easy to predict the state of a particle in quantum physics. How come??? Simply...using the laws implied by the general relativity - one can easily travel to the future(time dilation)...so - given such theoretical experiment: A particle is launched - you are trying to predict if the particle will pass throw some imaginary slip 1 or slip 2. Of course if you can travel to future - you would say that prediction is easy. The problem is that you can't travel to the past using Einstein's equations - so you still can't predict it in the classical sense. But you might know something other people are yet to know - so you are ahead of them and hence you are said to predict the state of the particle. So if one can travel back and forward in time - there will be no randomness.
But still...we face the subject in reality.I believe that the major problem is our brain: We can't understand infinity, because our brain is finite and we can't understand randomness because we take all our decisions based on something. If we had infinite brains and no memory - it would be easier
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