Friday, November 23, 2012

Logical Existence Necessity

Could anything logically have to exist?

I aim to show that mathematical truth operates in such a state of necessary existence. Often people will say that math requires a mind or consciousness to be true, but I would argue that actually minds are only required for a sort of "double-check" and symbol assignment to the mathematical entities, that occurs secondarily to the initial truth property. These things would be true before the mind's existence, but they cannot be validated by minds until a mind has checked them and assigned symbols to them. It's a simple misconception that the mind must exist for the math to exist.

  • Examples of mathematical truths that obviously must exist
    • Statements of arithmetic such as 1+1=2
    • Number systems, such as real or whole numbers
    • complex patterns arising from number systems such as Fibonacci's sequence
    • logical concepts that are explicit 0 = 'nothing', it is always true even though it seems to require a logic and thus a mind. Actually a mind is only required to confirm or "double-check" this truth.
    • other logical statements, that I would blanket classify as "paradox avoidance"
I would go further and say that once you have these things you already have enough for mathematical truths that are magnitudes more complex, like irrational number patterns giving rise to form, through more complex arithmetic and mathematical operations. Perhaps for certain areas of the branching structure of mathematical axioms to meet, like calculus and the irrational number pi, a mind or consciousness must combine in some way, these axioms. However, it is my theory, as I have espoused numerous times on this blog, that a mind is just as much a mathematical entity as calculus, so any distinction about what is combining the multiple axioms to make a more complex form is not important.

  • Examples of complex mathematical forms that may take some # of axioms to build up to
    • Spatial dimensions
    • Multi-dimensionality (extra depths of field)
    • Information Singularity (kind of like a static form map of all possible information, but that also recognizes variability in the forms within it that contain variables)
    • Holographics
    • Consciousness
    • Imagination and Visualization
    • Dimensional compression schemes
    • Computation / Simulation
    • Multi-dimensional modelling
    • non-euclidian angles > 360*
    • Infinitely dimensioned fields
All these things, while they seem head-scratchingly complex, can be reached via the more simple forms that must necessarily exist.

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