Who is afraid of virtual proofs?

[AntonioLao]

A mathematical proof raises a conjecture, or a hypothesis into a theorem. Consequently, a theorem becomes a lemma where and when it supports the proof of a subsequent theorem. This thought sequence suggests that the logical pyramid of mathematic would have ideas, conjectures, and hypotheses at the bottom rank. The next higher ranks are the lemmas. Above the lemmas are the theorems. And at the summit stands a single absolute truth. However, where and when two equally plausible contradicting theorems were used to support a higher theorem then this space-time impasse becomes a dilemma. In this sense, the singular absolute truth as the ultimate theorem of mathematical truth must at the least be supported by two lemmas or one dilemma.

Consequently, a dilemma can be resolved only by the use of virtual proofs. Reality cannot exist by its own virtue without the existence of a virtual reality. The mirror negative image cannot exist by itself without the presence of a positive image. Antiparticles exist by virtue of real particles. For every positive there is a negative. For every male of the species there is a female. The pair allows continuation of a species. The lack of an opposite partner assures the natural extinction of any species. Of course, there are biological exceptions to sexual reproduction but fundamentally every birth implies the death of a sperm cell and an ovum or egg cell or a single cell division. Life cannot exist without death and death cannot exist without life. However, this dichotomy is a global rule in contrast to the trichotomy of local infinitesimal rule of color charges of quarks and gluons. Both n-chotomies can be resolved universally by a principle of directional invariance, replacing gluons with eight directional invariance properties of absolute space-time quantization of squares of energy.

[mkirkpatrick]

Not me! That which is "real" can be unchanging as it is absolutely real,or relatively real and changable,virtual reality would of course be the latter.



regards michael

[SteveA]

A mathematical proof raises a conjecture, or a hypothesis into a theorem. Consequently, a theorem becomes a lemma where and when it supports the proof of a subsequent theorem. This thought sequence suggests that the logical pyramid of mathematic would have ideas, conjectures, and hypotheses at the bottom rank. The next higher ranks are the lemmas. Above the lemmas are the theorems. And at the summit stands a single absolute truth. However, where and when two equally plausible contradicting theorems were used to support a higher theorem then this space-time impasse becomes a dilemma. In this sense, the singular absolute truth as the ultimate theorem of mathematical truth must at the least be supported by two lemmas or one dilemma.

Consequently, a dilemma can be resolved only by the use of virtual proofs. Reality cannot exist by its own virtue without the existence of a virtual reality. The mirror negative image cannot exist by itself without the presence of a positive image. Antiparticles exist by virtue of real particles. For every positive there is a negative. For every male of the species there is a female. The pair allows continuation of a species. The lack of an opposite partner assures the natural extinction of any species. Of course, there are biological exceptions to sexual reproduction but fundamentally every birth implies the death of a sperm cell and an ovum or egg cell or a single cell division. Life cannot exist without death and death cannot exist without life. However, this dichotomy is a global rule in contrast to the trichotomy of local infinitesimal rule of color charges of quarks and gluons. Both n-chotomies can be resolved universally by a principle of directional invariance, replacing gluons with eight directional invariance properties of absolute space-time quantization of squares of energy.

I believe I was just having a similar thought earlier - though it was in terms of a life existing as the merging of two independent universes/unknowns.

Each could be entirely deterministic internally, but if they were not deterministic to each other in a relative sense, then every element of one could be mixed "randomly" with the other - though I actually don't think this could be entirely random because we still need a synchronization between the two, though that may be what life provides - it may be similar to applying a common clock between them (this would agree with physics in that time is subjective).

It could also be that one side of this merger appears similar to consciousness/will and the other the deterministic mind/matter/logic and there is the equivalent of a struggle during this growth in determining what properties are retained from each side (a selection/evolution).

This could give the appearance of a duality, where each appears virtual to the other, except at the conscious interface of this merging, until the two are merged and then they appear as a single self with no more duality (much like life or reproduction) and the body and mind are one with no more inner conflict or sense of limit.

[AntonioLao]

Concerning the trichotomy of human beings many say they are body, mind, and the soul.