Ecmandu wrote:You wrote an entire message about hyperreals

I wrote a message, yes, but I am not really sure it was a message about hyperreals.

Are you sure? Can you check one more time?

and I responded to it!

You didn't directly respond to any of the points I raised.

1) I said that mathematical sets have no notion of beginning and no notion of end which means that your definition of infinity cannot be applied to them.

You said NOTHING in response to this.

2) I said that it's sequences, and not sets, that have the ability to possess a beginning and an end.

You said NOTHING in response to this.

3) I said that sequences that have an end but no beginning are infinite (that they are infinite even though they have no end because the number of elements they consist of is larger than every integer.)

You said NOTHING in response to this.

4) I said that sequences that have BOTH a beginning and an end are infinite (that they are infinite even though they are bounded from both sides because the number of elements they consist of is larger than every integer.)

You said NOTHING in response to this.

5) I said that mathematical sets and sequences do not exist in time which implies they aren't processes (since processes exist in time.) (And since an infinite set, being a set, is not a process, it also follows that it is not a never-ending process of increase.)

You said NOTHING in response to this.

6) I said that non-mathematical sets and sequences that do exist in time are of no relevance to this topic. (Because this topic is entirely about mathematics and because mathematical entities do not exist in time.)

You said NOTHING in response to this.

And how about things I didn't say but should have said? For example, the fact that your definition of infinity as that which is endless does not imply that infinity is a never-ending process (something you insist the word "infinity" implies.)

Perhaps you need to learn how to hold a conversation first?

So instead of directly responding to what I said, you responded to something you imagined . . . infinitesimals, hyperreals, numbers such as 0.333pi333... which I have no idea what they represent and so on.

Is

0.333pi333...

A number or not a number?

It's not a number because Pi is not a digit. I don't see how this thing you came up with out of nowhere is of any relevance whatsoever. Care to explain?