NDLI: Four Forms Make a Universe

Content Provider	Springer Nature Link
Author	Schmeikal, Bernd
Copyright Year	2015
Abstract	Since Immanuel Kant’s Inaugural Dissertation of 1770 we assume that the concepts of space and time are not abstracted from sensations of external things. But outer experience is considered possible at all only through an inner representation of space and time within the cognitive system. In this work we describe a representation which is both inner and outer. We add to the Kantian imagination that “forms of nature, matter, space and time are intelligible, perceivable and comprehensible”, the idea that these four are indeed intelligent, perceiving, grasping and clear. They are active systems with their own intelligence. In this paper on the mind-matter interface we create the mathematical prerequisites for an appropriate system representation. We show that there is an oriented logic core within the space–time algebra. This logic core is a commutative subspace from which not only binary logic, but syntax with arbitrary real and complex truth classifiers can be derived. Space–time algebra too is obtained from this inner grammar by two rearrangements of four basic forms of connectives. When we conceive the existence of a few features like polarity between two appearances, identification and rearrangement of the latter as basic and primordial to human cognition and construction, the intelligence of space–time is prior to cognition, as it contains within its representation the basic self-reference necessary for the intelligible de-convolution of space–time. Thus the process of nature extends into the inner space.
Starting Page	889
Ending Page	911
Page Count	23
File Format	PDF
ISSN	01887009
Journal	Advances in Applied Clifford Algebras
Volume Number	26
Issue Number	3
e-ISSN	16614909
Language	English
Publisher	Springer International Publishing
Publisher Date	2015-04-29
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Logic Algebraic logic Clifford algebra Geometric algebra Iterant algebra Quantum information Space–time-logic Mathematical Methods in Physics Theoretical, Mathematical and Computational Physics Applications of Mathematics Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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