We add to the finite mathematical framework the notion that it is finitely weaker than Actual Infinity (AI), where AI is the common source of both finite and potentially infinite mathematical frameworks (exactly as rigorously defined in
www.internationalskeptics.com/forums/showpost.php?p=12412827&postcount=3095 and forward, by using visual_spatial AND verbal_symbolic reasoning).
A addition that by the way subtracts the Transfinite mathematics of Cantor and the Mathematics of Infinitesimals used in Calculus. Also it subtracts a formalism based on predicate logic. And it doesn't stop there. It subtracts an algorithmic approach to calculations and solutions.
But the important value added you declare is that asserting this is somehow supposed to engage UNITY awareness and compassion. Of course it asserts something about Infinity and equates Infinity with UNITY, so that if I'm using Infinity correctly, I'll be in UNITY awareness. Gee, if that was all it took..
I believe that for you it's a liberating assertion with deep connotations. Freeing Infinity from its mathematical shackles opens up a world of possibility that stuffy old mathematics keeps trying to stifle by its symbolic logic where A is never permitted to be non-A. Freeing Infinity via the tool of X/Y complementarity means that reality can never again be subject to classifying concepts in Mathematics, and then in Science, that make nature and persons object instances of cognitive classes rather than what they concretely are of themselves. We got in this mess by what A.E. Whitehead called "the Fallacy of Misplaced Concreteness," that we made abstract class concepts and objects of such the reality, rather than what strikes our noses. Your position is that if we simply made the X/Y Complementarity with its Visual_Spatial component our way of organized thinking, we'd naturally shatter the foundations of materialistic, reductionist science that denies our consciousness and no longer treat each other and nature as objects. It seems to me that this, your, liberation from Mathematics' class conceptualizing's of Infinity and finite collections does mean for you, does entail for you, applying and expressing Unity awareness in your daily life. It is a philosophical platform for you and a thought ritual that when standing upon you are open to the Infinite and remember UNITY.
I feel it's similar to my experience when I contemplate the Buddhist teaching of Emptiness and No-self. I remember that of myself no one is in here and that because of that everyone is in here. This is a liberating notion that reminds me to stop and acknowledge the Unborn, Silent, SOURCE: UNITY. This my liberation. But for the others here, a bit of philosophy, a bit of meta-mathematics (Even a reading of
Gödel, Escher, Bach) isn't going to necessarily expand their consciousness. They aren't bringing the meaning, the connotations, the engagement of consciousness you are.
(I confess that being philosophical is only a reminder for me. Sitting and letting go of my interfering thoughts is my best tool.)
I am saying it load and clear for at least past 10 years in this forum, the power of our civilization, whether it is expressed in terms of Politics, Economy, Technology, Science, Religion, Art, and many more disciplines, is without a doubt derived from Mathematics.
So the paradigm shift must be done in Mathematics.
At first my reaction to this statement was "Oh no! If this is the no other way under Heaven we can know UNITY awareness ,have compassion in the world, and salvation than this new paradigm of Mathematics only suggested in this thread,
I'm
left behind!
But I saw that what you mean by Mathematics is that it is the language of thought. This is how the Geek founders of Mathematics saw it, and how Russell and other Formalists wanted it to be. As the language of thought, it is foundational to all other Human endeavors. Obviously from this perspective, if we think correctly, all our mental endeavors will be transformed.
So what you have presented to us is a basic illustration of what you see as correct thinking: a new organizational principle of cognition. The X/Y complementarity way of thinking promotes Unity thinking: the Unity of Opposites and a transcendence of the separateness and division of class cognition.
That's not necessarily going to generate the sort of Mathematics we've been accustomed to these many centuries. It isn't necessarily going to be about algorithms and formulas. Perhaps it will find visual tools inspired by a draftsman's sort of manipulations. But whatever, you have presented the essence of your new Mathematical paradigm, your rules of thought.
They are curious and continue to engage my curiosity. I want to play with them to see where it might take me. I have lived in other cultures than the one of my birth and seen that in some the very terms of what it means to be a person are different. This didn't appall me, but fascinated me. So excuse me for sticking around to explore your culture of thinking.
The others can be appalled, or indifferent. I just hope that when they critique your way of thinking, they understand how you are thinking and make relevant critiques. Then your ten years won't be a hopeless waste.
