Inclusional Research
Forum & Learning Space
MAIN MENU |
|
Contacts Relevant Writings Back to Streams
Brief Introduction The dynamical continuity of natural flow form is central to inclusionality, but beyond the scope of the philosophical foundations of classical and modern mathematics and physics. Continuity in this sense differs from the informational interconnectedness, more aptly termed contiguity, of discrete numerical points along a line, on which quantum mechanics is based, and also beyond current formulations of relativity theory. As generally construed, a line, whether straight or curved or a segment of the circle, necessarily excludes what comes before its start-point and after its end-point, whereas to be inclusional a line has to be continuous, without beginning or end. Transfigural Mathematics, as developed by Lere Shakunle, transforms the ‘dead line’ of discrete numerical stopping points into a dynamically continuous ‘life line’, through the inclusion of receptive space within neighbouring points as overlapping ‘spheres of influence’ to form a resonant channel. This line is both a ‘breathing point’ and a continuous flowline whose flowform spreads and folds in and out of its point of origin. It represents mathematically the very heart of inclusionality in its philosophy of being and knowledge, spirituality, algebra, logic, geometry. Within its dynamic inclusional geometry of nested relational spheres of influence can be found an orchestrating harmonic principle that integrates relativity and quantum mechanics, mirrors the pattern of DNA and other natural spirals and explicates many natural laws. This geometry departs radically from three-dimensional Euclidean foundations as well as the non-Euclidean geometry of depthless curved surfaces and is hence called Post-Euclidean Geometry (PostEG). It also opens up new understandings of the relative nature of infinity. By closing the eyes and drawing a line, we can see that the line continues on either sides until it disappears. Where it disappears are the infinities. But these infinities are seen by the eyes of the human mind. A bird sees different infinities. These infinities are included in the human infinities, that is in the infinity of being human. This means there are even no points at the end of infinities! If this is so and because it is so, what happens to the line at infinity then? It is a curve. And what do the curves on both sides of the infinities do? This question takes us to the soul of mathematics which are numbers, line and point. What was found in the foundations of classical and modern mathematics as given by the ancients, developed over the centuries and concretized by the binary logic which is leading other classical logics even at the quantum level does not and cannot represent natural flow. Here what is probable resolves into yes or no, true or false in the end, are numbers that are discrete and even as fractions remain separate from others from the beginning to the end and lines that move from point to point and begin with points and end with points. What this means is that the classical One does not include the Other which mathematically means that One is not included in the Many and the Many are not included in One. In the Transfigural Mathematics, One is included in Many inside which it flows while Many are also included in the One that flows in them. This inclusion derives from the role of Environment in the awareness of being in the world. A number, like persons and things, is what it is by virtue of being itself included in other numbers, persons and things. The implication of this for the identity of persons and things is that they are what they are by virtue of being themselves as inclusions in the others and the others as inclusions in them. Holding all together is love in which life flows. So where there is life, there is love. That’s what it means for the point to breathe. That’s what it means for the world to live. Welcome to the breathing-point of the algebra, the flow-folding lines of the geometry and the One-Other inclusional logic of Transfigural Mathematics (TfM) Contacts Relevant Writings
Return to Top of Page Back to Streams |
| Web design by Karen Tesson | Site accessed 65236 times since 15/10/07 |