On 26 Mai, 18:02, c...@kcwc.com (Curt Welch) wrote: > netzweltler <reinhard_fisc...@arcor.de> wrote: > > On 24 Mai, 20:33, c...@kcwc.com (Curt Welch) wrote: > > > > Has there been found any application in this universe where the act of > > > pretending infinity exists becomes useful? > > > I can display every natural number n as a line of slope n in the > > coordinate system. w can be displayed as a vertical line then. Does > > infinity exist thus? > > Nah. The slope is the output of a process of dividing two measurements - > the rise divided by the run. When the run becomes zero, the process either > becomes undefined, or never terminates (you get to pick). No where does it > become "infinity". > > We use the word "infinity" to mean just that - a process that never > terminates. These processes most certainly do exist. An infinite number > of objects, do not exist. An infinite number of values output by one of > these processes will never exist. You must be clear as to which of these > two things you are talking about - but often in mathematics, these two very > different things, are conflated with very odd results happening as a > result.
Which line does exist, which line doesn't? I guess we agree, that the line of slope = 1 does exist, right? And the line of slope = 10^100 does exist, right? If not all of the infinitely many lines do exist, you need to define, which of these lines are the existing ones, and which lines are the non-existing lines. That's math (not about processes and time).
