1. The distance between two points is a line segment.
2. This distance between two points is a division of a point into two.
3. The line segment is a division.
4. The line segment as a division is surrounded by space.
5. This surrounding space is composed of infinite points as there are infinite positions around the space of a line segment.
6. The points which compose the line segment contrast the points around the line segment.
7. In introducing a line segment the point is divided; it is divided through the line segment and it is divided against the points around the line segment.
8. The point is self-divisive thus is a contradiction.
1. A point added to another point results in one point, much in the same manner a raindrop added to another raindrop results in one rain drop.
2. A point subtracted from a point results in one point, much in the same manner a raindrop subtracted from a raindrop results in one rain drop.
3. The infinite division of points is the infinite multiplication of points; this infinite division/multiplication of points results in a single point as all the points become indefinite much in the same manner a point is indefinite.
1. The fact that points, which are 0d entities, can be added/subtracted/multiplied necessitates it as quantifiably 1 given 1 is the foundation for all numbers.
2. The 0d point as quantifiable necessitates 0 as quantifiable thus a contradiction occurs.
1. The point cannot be added/subtracted/multiplied/divided as it is a 0d entity and as such is equivalent to 0.
2. The point is added/subtracted/multiplied/divided as evidenced by geometric shapes.
3. Shapes are a contradiction.
1. A line segment is composed of an infinite number of line segments thus an infinite number of points.
2. An infinite number of points is an infinite number of divisions.
3. The line segment is an act of division and yet this division allows for a shape to occur.
4. Shapes occurring through division is the shape as a contradiction as division necessitates opposition as one phenomenon stands apart from another.
1. The division of nothingness is the self-opposition, contradiction, of nothingness as being.
2. Considering nothingness cannot act, as to act makes nothingness a thing, to speak of it as self-contradicting is a contradiction in terms.
3. However the contradiction of nothingness is necessary for being to occur thus requiring a nonsensical argument.
4. The point is nothingness as it is 0 dimensional.
5. The point cannot be divided and yet it is as evidenced by a line segment.
6. The line segment, as the foundation for form, is nonsensical yet the very fact that it is sensed makes it contradictorly sensical.