Conversely all places that look smooth and straight by the eye, when looked upon closely are lumpy uneven and jagged. SO for the everyday mundane world of the human metric. Engineers , carpenters and architechs go to strenuous efforts to create mathematical percection but are thwarted by natureEodnhoj7 wrote: ↑Mon Aug 12, 2019 1:58 amI want to agree.Sculptor wrote: ↑Sun Aug 11, 2019 11:24 pmThis is all good, and circular. As far as concepts go the statements are correct in an absolute sense.Eodnhoj7 wrote: ↑Sun Aug 11, 2019 10:21 pm
Agree.
If I can elaborate on the "extra-planar connections" using basic math:
1+1 = 2
2 = 1+1, -1+3, -2+4, etc.
All circularity allows for then maintainance of a set of axioms while allowing for progressive variation.
Cycles always are connected to other cycles, and a circular argument thus not necessitate contradiction.
Now as to the ones you do not believe have connections?
In real life they can be used to represent observable facts, but only approximately.
There are no integers in nature, and no two things can be absolutely identical since no two things can be exact in dimension, time, and space.
5 oranges added to 5 oranges are 10 oranges.
But 1 orange is not equal to another orange.
There is also a lack of straight lines, perfect circles and other shapes. So whilst maths talks about perfect spheres and so forth, no perfection of the sort can be found in nature. Maths even in its own terms creates a series of incommensurable values such as PI, SquR of -1, perhaps because we live in an analogue reality but are trying to squeeze our digital system of integers.
And I mean I actually want to.
Actually nature is grounded in points, lines and circles strictly because of its atomic nature.
1. All phenomenon from a distance are always point particles in the context of the space in which they are observed. Upon closer inspection the phenomenon is composed of point particles (jagged edges, etc.)
Only in theory. One atom supposedly moves theoretically in a straight line towards another. Yet where is this integer or quantum? The atom? The electron, the Neutron? But what then of the multitude of subatomic particles whose discovery seems to have no bounds? When do we stop and ask if the universe is really particular? Waves seem to exist! And if a body falls in a straight line where and how does the gravitron (or whatever quantum of gravity is supposed to exist) act? Is it emitted from the large body to the smaller; the other way round? How? IS the line straight? Or is it only approximately straight, since it is by defintion simultaneously and at the speed of light attracted to every other body in the universe. There can be no stright line, here even by theoretical standards.
2. All particles in nature moving from a point A position to Point B position do so in a straight line. Even a simple curves, in a wave, requires the Crest of the wave to go up and down. The curves, as a particle, always requires a particle to move from point A to point B. A curve is composed of a less than infinite number of angles.
According only to the model. Reality has a way of interceding. The genetic code for a oak leaf is the same for every leaf on a particular tree. But I challenge you to find a single oak leaf exactly the same as any other in a million leaves.
This is evidences strictly because a particle, when dividing/multiplying, always does so in a linear direction.
No object on earth can ever return to the same position in space. The universe is expanding and the solar system is hurtling through space at an astounding speed. Not just terran rotation, or our passage round the sun, but also the entire system is moving.
3. The repetition of events in nature, such as the repetition of a particle, is always a cycling of a variation of the same thing. Upon first glance a point projected to another point appears as a linear trajectory, but if the point is repeating itself it fundamentally is maintaining itself through a cycle. All repetition is a cycle. For example, A clock turned on its side would observe a simple point go back and forth causing it to repeat it's original position.
I don't think this serves your position.
Quantity and quality are inseperable.
Since no 2 oranges are exactly the same. 1+1=2 does not work in that case.
This is just a repetition of idiomatic assumptions of maths. Exactly the moot point I was challenging.
1) 1 point manifesting into two points observes the creation of distance, as a quality, by a change in quantity. 1 point inverting to 2 points observes quantity begets "quality" through distance.
2) A single line between any two points is always composed of infinite points between the two points as the progression of one point to another requires position A then position B then C, etc.
Distance as a quality is dually a quantity of one set of infinities, evidenced by the line. All quantities are actually infinities. The line takes on an actual distance when it is divided into further lines, thus necessitating individuation.
In and of itself it all makes perfect logical sense.
This is just a repetition of idiomatic assumptions of maths. Exactly the moot point I was challenging.
One line individuates into two lines. This is the first understanding of measurable distance using a grounding standard (ie the 1 infinite line). The 1 line as two lines observes simulateous multiplication and division.
Multiplication as two lines, each a replication of the original where anyone standing alone (as infinite) is the same as another.
Division where each line is 1/2 of the original line that exist as a set.
Quality thus begets quantity, considering quality begins with a continuum (the line as infinite points).
3. Quantity and quality alternate through eachother through a cycle. Either one can be taken first only if assumed as such.
In and of itself it all makes perfect logical sense; circular but not empirical.