ORALS

SESSION: MathematicsWedPM1-R9	6th Intl. Symp. on Sustainable Mathematics Applications
Wed. 29 Nov. 2023 / Room: Showroom
Session Chairs: Ruggero Maria Santilli; Mike Mikalajunas; Session Monitor: TBA

14:55: [MathematicsWedPM107] OS
TOWARDS UNIVERSAL AND POTENT PHILOSOPHICAL MATHEMATICS – FROM DEEP DIFFERENTIAL ONTOLOGY, QUALITATIVE INFORMATICS AND DEEP FIBONACCI MATHEMATICS; REVISITING LAWS OF FORM AS TEMPLATE
Stein E. Johansen¹ ; ¹Norwegian University of Science and Technology / Institute of Basic Research, USA, Trondheim, Norway;
Paper Id: 224 [Abstract]

G. Bateson presented an influential definition of (qualitative) information as a difference that makes a difference for someone/something. The author presented a treatise in 2008 [1] which from some modification of Bateson’s definition unfolded stepwise and rather rigorously what is enfolded in this very definition of information as some ‘atom’ of reality. This represented a systematic establishment of a differentiated ontology (including epistemology as some ‘head’ of the ontological ‘body’) including novel treatments of core issues in philosophy. The category of causality was presented as implied in the very concept of (qualitative) information, branching into a specified number of different, while strictly connected types of causality, framed in said differential ontology. One result was a deeper refoundation of the field of formal logics.A later reflection on the category of the ‘border’ inside this framework of ‘qualitative informatics’ led to the insight that mathematical number theory could become reconstituted from the Fibonacci algorithm as representing the basic bridge between the qualitative essence of information and its quantitative aspects. Such reconstitution of number theory became presented in a treatise by the author in 2011 [2]. This was established in stepwise tandem between ordinal and cardinal aspects of the Fibonacci algorithm, leading to some Fibonacci based redefinition of the four basic arithmetic operations.These results can be regarded as basically complementary to the achievements of R.M. Santilli [3] and P. Rowlands [4] with regard to innovation of a more abstract, universal and potent mathematics, including more universal algebra. In the case of Santilli the applications towards innovative physics and related technological inventions, have showed to be rather astonishing. The paper will revisit Spencer-Brown’s ambitious – while quite condensed and partly cryptical – Laws of Form [5], in order to make an assessment of its potential contributions to deep-logics/mathematics/science vs. its limitations in said respects. The paper will clarify to what extent his logic(s) of classes can be accommodated within the logic of sentences by translations applying ‘the calculus of indications’. Also, the paper will investigate the adequacy of giving primacy to operators vs. to variables/relata when establishing truth functions.

References:
[1] Johansen, Stein E. (2008): Outline of Differential Epistemology. (In Norwegian: Grunnriss av en differensiell epistemologi. 2.ed.) Oslo: Abstrakt.
[2] Johansen, Stein E. (2011): Fibonacci Generation of Natural Numbers and Prime Numbers. C. Corda (ed.): Proceedings of the Third International Conference on Lie-admissible Treatment of Irreversible Processes: 305-410. Kathmandu: Kathmandu University / Sankata Press. https://www.santilli-foundation.org/docs/Nepal-2011.pdf
[3] Santilli, Ruggero M. (2003): Elements of Iso-, Geno-, Hyper-Mathematics for Matter, Their Isoduals for Antimatter, and Their Applications in Physics, Chemistry, and Biology. Foundations of Physics 33, 1373-1416. http://www.springerlink.com/content/r776p21u5vp1584p/BodyRef/PDF/10701_2004_Article_469508.pdf
[4] Rowlands, Peter (2007): Zero to Infinity. The Foundations of Physics. Singapore: World Scientific.
[5] Spencer-Brown, George (1969): Laws of Form. London: Geroge Allen and Unwin.