I was just recently taught about Cantor and infinity in relation to the geometry of a circle. It was explained that you could have infinite radii coming out of the center of the circle because of the fact they get farther apart as they radiate outwards.
Isn't the actual issue that the radii has as a width of 0 which makes it unrealistic. So therefore, the fact there is an infinitely small number involved (0), it leads to an infinitely large number (infinity)?
So, I drew this in paint to explain what I mean:
In this picture the radius (B) has an obvious width. If you were to add another radius right next to it, it would overlap a bit. The amount it overlaps is proportional to the width and/or the area of B. Generally when there proportions involved a formula can be made?
Ha, am I crazy? or over thinking this?
Isn't the actual issue that the radii has as a width of 0 which makes it unrealistic. So therefore, the fact there is an infinitely small number involved (0), it leads to an infinitely large number (infinity)?
So, I drew this in paint to explain what I mean:
In this picture the radius (B) has an obvious width. If you were to add another radius right next to it, it would overlap a bit. The amount it overlaps is proportional to the width and/or the area of B. Generally when there proportions involved a formula can be made?
Ha, am I crazy? or over thinking this?