1) As the distance from each ring grows, the gravity force vector becomes more parallel with the surface of earth. This means that each ring provides more horizontal force (which cancels itself out since it is a ring) and less vertical force (what you would actually feel as gravity) as it is further from the observer.

2) As the distance from each ring grows, the gravity force becomes exponentially weaker.

Smarticus I don't know where to begin. Firstly, your argument does not need calculus. An 8th-grade conceptual understanding of geometry and algebra is sufficient. Throwing in calculus is a red herring (although I don't think borne of malicious intent...just a desire to impress with your [at least] 12th-grade education probably).

Secondly we can dispense with logical "rings" as an unnecessarily complicating device. An imaginary infinite plane is a sufficiently graspable concept.

Even though the infinite plane, as you described, would increasingly pull more "horizontally" as distance increased (in terms of right angle geometry), and would necessarily pull equally so horizontally from all directions no matter where you stand (being infinite as it were), you are missing one critical point: Every point on the disk is also exterting a

*downward* force (the geometry thing again), however small and variable relative to distance it might be, and never a counteracting upward pull--seeing as how our 200 lb man is presumably standing on and above the plane.

Even though the farther away you get from a given point is pulling ever more horizontally than vertically, and even though gravitational attraction falls off exponentially with the square of distance, both components are nevertheless non-zero. And by using simple geometry and algebra, it can be shown that any given point anywhere on the infinite plane exerts a non-zero downward vertical pull on your 200 lb. man.

Infinite points multiplied by non-zero downward gravitation attraction = infinite downward gravitational attraction. No sun + moon (be they disks themselves or spheres), being presumably of finite mass pulling you up, can counteract infinite downward pull. And for that matter it is a chin-scratcher trying to conjure up some mechanism for the sun and moon to resist such infinite gravity themselves. Especially since they are only 30 miles away.

No calculus required.

Therefore, you may wish to update your argument of an infinite-plane earth, to the seemingly preferred FE infinite sub-theory of an infinite plane Earth that has no mass. (Yet that somehow also has mountains and crushing water and magma and presumably still has an ice wall...are we getting this yet?) I'm not saying I won't debunk your points when you switch, but lets take it one step at a time. ;-)