DualityNonduality Intertwining Of Duality And Nonduality ISSS 2000

Duality/Non-duality Intertwining Of Duality And Nonduality ISSS 2000 Duality Theory SIG Kent Palmer kent@palmer. name http: //dialog. net Copyright 2000 K. Palmer. All rights reserved. 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 1

Non-Duality Not One. 11/26/2020 Not Two. Kent Palmer -- Non-duality -- ISSS 2000 2

11/26/2020 Duality Dualism Mathematical Isomorphism Between Transformed Structures Nihilistic Extreme Opposites Where One Dominates The Other Kent Palmer -- Non-duality -- ISSS 2000 3

Aristotle’s Principle of Excluded Middle and Non-contradiction Produces Dualism in the Western Tradition Oriental traditions explore the implications of included middle and allow para-consistency, i. e. contradiction; as well as para-completeness and para-clarity 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 4

Nagarjuna: Tetralemma A ~A Both A and ~A Emptiness Neither A nor ~A 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 5

Nagarjuna and Boolean Logic AND Emptiness NOR NAND OR 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 6

Levels of Being beings = things = entities ontological difference Being 1 Pure point deterministic/ present-at-hand continuous Being 2 Process grasp ready-to-hand probabilistic Being 3 Hyper bear in-hand fuzzy Being 4 Wild encompass out-of-hand chaotic emptiness / void Being 5 Ultra existence Maya = illusion 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 non-deterministic/ discontinuous 7

Supra-Rational Paradoxicality Both opposites are true at the same time without mixing Opposites are mixed until distinctions between them are lost Nondual Non-Nihilisitc Dualistic Nihilistic 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 8

Plato’s Divided Line Rationality Critique 11/26/2020 Founded Opinion Unfounded Opinion Representable Intelligibles Single Source Non-representable Intelligibles Science Sun Doxa Opinion Dogmatism Kent Palmer -- Non-duality -- ISSS 2000 9

Special Systems System Klir Arithmetic real algebra all Algebraic properties amicable complex algebra lose unity conjunction perfect quaternion algebra lose commutative property octonion algebra lose associative property (1, +, -, /, *) dissipative Prigogine autopoietic Maturana Varela reflexive O’Malley sociable Sandywell van Gigch sedenion Meta-system numbers Bataille (surplus or deficient) algebra 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 lose division property 10

Approaching the Limits of the divided line Reason Opinion System Ratio: Giving Grounds Doxa Dissipative Search for Grounds Paradox Autopoietic Self-Grounding Vicious Circle Reflexive Mutual-Grounding Absurdity Meta-system Supra-Rational Madness 11/26/2020 (groundlessness) Kent Palmer -- Non-duality -- ISSS 2000 11

Rationality Critique 11/26/2020 Truth Reality limit Presence Identity external existence Order Right manifestation Good Fate internal existence limit Plato’s Divided Line combines Aspects and Non-duals of Being Doxa Opinion Dogmatism Kent Palmer -- Non-duality -- ISSS 2000 12

Roots of the Bifurcation Tree of Being actualize ~exist sources fates exist ~actualize manifest root ~manifest Single Source 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 13

~limited goods have exist 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 ~have fates limited logos rights Being physus Being orders Trunk of the Bifurcation Tree of Being ~exist 14

rights Being 11/26/2020 limited logos Kent Palmer -- Non-duality -- ISSS 2000 ~limited Being physus thermodynamics syllogism pervasion orders physics Relativity infoenergy QM Branches of the Bifurcation Tree of Being wave space-time uncertainty particle 15

Infoenergy participates in the Emergent Meta-system creation -Energy annihilation + Matter - Matter gestalt pattern formation + Information - Information mutual action + Entropy - Entropy 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 Practio-inert entromatter Chi/Shakti infoenergy + Energy 16

Emergent Meta-Systems The dynamic of existence creation ~unity (conjunction) Monad Seed 11/26/2020 mutual action ~commutation Void Emptiness annihilation ~division Kent Palmer -- Non-duality -- ISSS 2000 (flowers) View gestalt pattern formation ~association (leaves) Candidate (fruit) 17

Levels of Being beings = things = entities ontological difference Being 1 Pure point present-at-hand deterministic/ continuous Being 2 Process grasp ready-to-hand probabilistic Being 3 Hyper bear in-hand fuzzy Being 4 Wild encompass out-of-hand chaotic emptiness / void Being 5 Ultra existence Maya = illusion 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 non-deterministic/ discontinuous 18

Aspects of Being Presence = This is A. Identity = A is A. Reality = A is. Truth = A is B. 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 19

Kinds and Aspects of Being Truth Presence Identity Reality pure presence pure identity pure reality Pure pure truth Process process truth process presence process identity process reality Hyper hyper truth hyper presence hyper identity hyper reality Wild wild truth wild presence wild identity wild reality Ultra ultra truth ultra presence ultra identity ultra reality 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 20

Combines supra-rationality (radical non-mixture) and madness 11/26/2020 manifestation internal existence (radical mixture) external existence extremal limit Limits on either side of divided line converge producing the antipode to manifestation Kent Palmer -- Non-duality -- ISSS 2000 21

Mobius strip: • locally dual • globally non-dual • one edge madness supra-rationality 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 22

Extremal Tetralemma A = Radical Mixture = Paradox to Madness B = Radical Non-mixture = groundlessness to supra-rationality Both A and B = Limits are the same extremal limit emptinness or void Neither A nor B = Limits are different from both (i. e. edge is not the surface) 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 23

“Emptiness” is empty A = “Emptiness” (absolute truth of interdependent arising) B = Non-emptiness (mundane world) Both “Emptiness” and Non-emptiness true emptinness Neither “Emptiness” and Non-emptiness Therefore “Emptiness” = true emptiness 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 24

Topology Lemniscate twosided interlocked Mobius Strip globally onesided and one edged locally two sided and two edged Kleinian Bottle globally inside and outside the same circle of self-interference in 3 dim Hyper Kleinian Bottle globally self-other ambiguity intersection at both of mutual self-intersection 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 25

Kleinian Bottle: Standard View Lower Drawings by Chaim Goodman-Strauss Dept. Mathematics Univ. Arkansas Fayetteville, AR 72701 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 26

Kleinian Bottle: Non-standard view Ari Lehtonen http: //www. math. jyu. fi/~lehtonen/ 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 27

Conjunction of Being and Existence Rationality to Supra-rationality via various grounds Doxa to Madness via paradox and absurdity Existence Assumed discontinuity Being Assumed continuity Special Systems Exemplify spontaneous Creation ex nihilo From empty void Kinds and Aspects of Being diffuse paradox and absurdity 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 28

System Pure Being dissipative Process Being autopoietic Hyper Being reflexive Wild Being BEING EXISTENCE Existence and Being Meta-system Ultra Being 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 29

Duality Unity Detotalized totality System Meta-system (archon) Application Operating “system” Turing machine Universal Turing machine greater than sum of parts less than sum of parts Gestalt/flow Field = proto-gestalt/proto-flow “restricted economy” “general Economy 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 30

Special Systems System Klir Arithmetic real algebra all Algebraic properties amicable complex algebra lose unity conjunction perfect quaternion algebra lose commutative property octonion algebra lose associative property (1, +, -, /, *) dissipative Prigogine autopoietic Maturana Varela reflexive O’Malley sociable Sandywell van Gigch sedenion Meta-system numbers Bataille (surplus or deficient) algebra 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 lose division property 31

Special Systems Analogy Physical Examples System one mirror Newtonian entropic systems dissipative Two facing mirrors solitons autopoietic Three facing mirrors Super-conductive Cooper pairs reflexive Inwardly mirroring tetrahedron Bose-Einstein Condensate Meta-system Mirrorhouse Quantum Mechanics/ Relativity Theory 11/26/2020 (nb. Onar Aam) Kent Palmer -- Non-duality -- ISSS 2000 32

Duality of Algebras and Non-orientable Surfaces Meta-system Sedenion Lemniscate Reflexive Octonion Mobius strip Autopoietic Quaternion Kleinian bottle Dissipative Imaginary Hyper Kleinian Bottle System Real Hypersphere of ambiguity 11/26/2020 Kent Palmer -- Non-duality -- ISSS 2000 33