If the runner never stops running... then he will always be running more than before.
How can you have something without limit... and not be expanding? You say it is endless... and yet you also think it is constant? That which does not end, does not stop going, isn't that the idea of infinite...? That it doesn't ever end?
.9 is less than .99, continuing to expand this brings you bigger and bigger numbers... while their increase is getting smaller and smaller. .9^ is a continual state of 'almost there's... in that it cannot converge with one lest it stop expanding.
You are adding a ridiculous definition to infinite. Infinity is the concept of never-ending. In example: an infinite supply of food... is not necessarily an ever-increasing mountain of food... it could easily be a single banana that continuously replenishes itself.
That banana could easily be smaller than another banana... but that banana will last you much longer than the other banana.
Another example of infinity: is my runner above. He is infinitely running (see, running without end)... and therefore he is always running more. Now say that he is running towards a gate... and he is always getting closer to that gate... but he never reaches it. Not in all of eternity and beyond does the runner reach the gate. Are you saying that the runner did not run infinitely? How can you suggest that he isn't always running more? He is running an infinitely long distance... and he is always running more. He cannot stop.
Neither can 0.9^. This is because to be infinitely long: is to be infinitely increasing in length.
If it is a misconception... then represent .9^ a different way in the decimal system. In fact, do something easier: represent .5 in a different way in the decimal system.
How can you have something without limit... and not be expanding? You say it is endless... and yet you also think it is constant? That which does not end, does not stop going, isn't that the idea of infinite...? That it doesn't ever end?
.9 is less than .99, continuing to expand this brings you bigger and bigger numbers... while their increase is getting smaller and smaller. .9^ is a continual state of 'almost there's... in that it cannot converge with one lest it stop expanding.
You are adding a ridiculous definition to infinite. Infinity is the concept of never-ending. In example: an infinite supply of food... is not necessarily an ever-increasing mountain of food... it could easily be a single banana that continuously replenishes itself.
That banana could easily be smaller than another banana... but that banana will last you much longer than the other banana.
Another example of infinity: is my runner above. He is infinitely running (see, running without end)... and therefore he is always running more. Now say that he is running towards a gate... and he is always getting closer to that gate... but he never reaches it. Not in all of eternity and beyond does the runner reach the gate. Are you saying that the runner did not run infinitely? How can you suggest that he isn't always running more? He is running an infinitely long distance... and he is always running more. He cannot stop.
Neither can 0.9^. This is because to be infinitely long: is to be infinitely increasing in length.
If it is a misconception... then represent .9^ a different way in the decimal system. In fact, do something easier: represent .5 in a different way in the decimal system.
Please give me a home where cloud buffalo roam
Where the dear and the strangers can play
Where sometimes is heard a discouraging word
But the skies are not stormy all day
