According to your own eyes. You see how it works. The present becomes the past.
So you ARE saying that time didn't exist before I was born. Thats... interesting. If I shut my eyes, does time stop?
That is the way it works. You can't have some past moment that wasn't a present moment first.
Present for whom? For God?
You assert that 'That is the way it works'; But I can see no reason to agree with you. Time is a dimension. Nobody has to travel a billion miles in order for us to accept that there is a place that is a billion miles away; and that is true for any distance. Why do you then insist that for time to exist in the past, it must have been traversed? Do you think the same applies to the future?
If you can accept the possibility of an infinite future, then simply reversing every part of that concept gives you an identically infinite past. There is nothing in fundamental physics that requires time to move in one direction. Entropy gives time a direction, and is an emergent property of probability acting on large numbers of particles. Time itself is not subject to entropy, because there is only one of it, and it is not dependant on particles in any way.
There is no difference for our purposes; time is time. The present is our view of the bit of time we are currently at....
No two moments in time are the same thing. They each represent a unique moment in time.
Indeed. And there may be an infinite number of them.
There isn't this nebulous thing called "time" separated from the world in some way. There are only specific moments in time.
So what? That doesn't say anything about their infinitude.
The amount of past remains the same for any given point in the present; The present moves forward, but that isn't relevant to the question of whether the past is finite or infinite. To avoid confusion, let us discuss the past from a fixed present point in time. Nobody (as far as I can see) disagrees that the present moves forward at a rate of 1 second per second in our reference frame as observers; the fact that we move constantly through time is irrelevant and should not form any part of our discussion. We are talking about the other end of the timeline.
Starting from here, and working backwards, we can go on forever, without reaching the end. There are two 'ends' to the timeline; in casual English, we call the earlier one the 'beginning' and the later one the 'end'; but both are 'ends' in the mathematical sense, and so a timeline without beginning IS a timeline without one of its ends; Something without one or both of its ends is infinite.
For the timeline to be finite, it must have two ends. We can, if we like, define the present as one end (aka 'the end') of the past timeline, and as the other end (aka 'the beginning') of the future timeline; now we have two timelines, each of which may or may not be infinite. The only way to demonstrate that the past is not infinite is to show that it has an end somewhere in the past. Showing that it has an end in the present does nothing towards this goal; we already accept that.
The distance between any two points in space is finite. The distance from any single point in space is infinite - unless you can show that there must be another point in space beyond which distance is meaningless.
The time between the present going back to any given event in the past is finite. The time going back from the present is infinite - unless you can show that there must be another point in time before which time is meaningless.