- #1

- 1,208

- 0

|Q|<|R|=c

r=1

Polygon's area = pi r^2 iff r has some unchanged value in any arbitrary direction, or in another words, the polygon's perimeter has 2^aleph0 points.

Let S1 = the area of this closed element.

Let us say that we have a polygon, which is made of aleph0 points.

So, its area must be less than pi r^2 because we have at least 1 r length in any arbitrary direction which is < 1.

Let S2 = the area of this closed element.

S1-S2 = x > 0

My qeustion is: can we find x value and use it to conclude something on the CH problem ?

Organic

r=1

Polygon's area = pi r^2 iff r has some unchanged value in any arbitrary direction, or in another words, the polygon's perimeter has 2^aleph0 points.

Let S1 = the area of this closed element.

Let us say that we have a polygon, which is made of aleph0 points.

So, its area must be less than pi r^2 because we have at least 1 r length in any arbitrary direction which is < 1.

Let S2 = the area of this closed element.

S1-S2 = x > 0

My qeustion is: can we find x value and use it to conclude something on the CH problem ?

Organic

Last edited: