The Paradox of the Point and the Foundations of Geometry as Paradoxical

What is the basis for reason? And mathematics?

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Eodnhoj7
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Re: The Paradox of the Point and the Foundations of Geometry as Paradoxical

Post by Eodnhoj7 »

The point is quite simple:

1. It is the simplest thing that exists conceptually and reality is purely conceptual as evidenced by the distinctions we make.

2. The spontaneity of experience comes from an empty point of consciousness akin to a single point.


3. It is the foundation of all forms.

4. Focusing on any experience reduces the experience intuitively to a point of awareness and we seek "the point" intuitively and symbolically in any question of life experience.

5. It is the manifestation of the center of balance within any physical movement through the body.

6. It is pure occurence.

7. It is the origin and end of all conceptual things and that through which these very things occur.

Just a few reasons, not articulated well but reasons nonetheless.

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The line segment is this atomist/continuum paradox:

The two points is the point as atomic, to reduce the point is to keep the point through other points, this it is never truly reducible. In other words the reduction of the point to further points necessitates the point as never really changing.

The line is the point as a continuum where the point manifest by its self contextualization of itself, through others, as form.

The line observes the point as a self maintained context of points through points where this can be described as a self referential variation.

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And what is the distinction of space that allows space to exist? Points through points. We only know existence by distinctions.

The paradox is grounded in the basic line, and all other forms by default: points exists through points where points become there own relational context. The line as a continuum of points between points makes the point self referential through variations of itself.

The point is empirical through one pointed attention on a form. Paying attention to the the center of a thing, or a single location of an edge is to make the distinction of a point.

The point is purely transitional, to pay attention to anyone point leads to another. To see anyone one form composed of points is to observe one point lead to another as the form itself. The relative nature of the point is the potentiality of form.


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Space dividing space as space is a paradox or points through points as points is the paradox.

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There needs to be a minimum of two distinct points for a line to occur. A single point would not be distinct, it would be a literal and metaphorical experience of void. The negation of void through distinction allows form to occur. The negation of a single point, as many points, gives rise to a basic form such as a line.

To void is to negate, to negate negation results in a positive, in this case a form.

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The point is the foundational occurence of conscious as it is the underlying symbol that manifests itself experientially in the manifestation of forms and the intuitive nature of applying distinctions rhetorically by starting and ending with a "point" with the subsequent meaning inherent within the dialogue or dialectical being a continuum of assertions as "points", thus a geometric process to the psyche occurs naturally. The simplicity and depth of the point occurs in the nature of an empty mind an manifests itself in infinite variations through the consciousness as evidenced by the spontaneity of experience which comes forth from it.
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