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EUCLUDIAN GEOMETRY &
THE SCIENCE OF
ABSTRACT CONSCIOUSNESS

​INTRODUCTION

The Science Of Abstract Consciousness (Oladipo Adegboyega Adelaja, SOTI Collected Works) can be regarded as an "extension" - but also the "completion" of that system - "completion" - "posited" - by Euclid.  It is the completion of that science - specific system - in the study of 'Mind.'  It is not termed as a geometry, but it is inherently - explicitly - thus it contains its own "Geometry of Abstract Consciousness."

​NON-EUCLIDEAN GEOMETRY

Through the above - it is being stated - that so called non-euclidean geometry - may be a "form" of non-euclidean geometry - but it is not "pure" - "true" - Euclidean Geometry.  But it appears as a form of "variation" - the purists would argue that it is even an "aberration" of Euclidean Geometry.  

 

We can say this - since what makes non-Euclidean Geometry- are the new "postulates," which are stated to define, that non-Euclidean geometric system - in The Science Of Abstract Consciousness, the system which we term "pure" or "true" Euclidean Geometry.  It distinguishes itself - non simply by "determining" - "new postulates" - but further - "analyses" - the system itself - and does not "depart" from it - with its new "findings" - "assertions" - or even "postulates" - but is complimentary - it is in symmetry - "synergy" - with Euclidean Geometry.  Its spaces - do not necessarily create "new" - conceptions of the phenomenological world.  By this one can say for example, the "geometrical figures" - which are created within the system - do not differ.  Let me provide an easy example - in Euclidean Geometry, the triangle has 180 degrees.  A triangle in the geometry within The Science Of Abstract Consciousness, similarly can have 180 degrees - or it may not have 180 degrees - but its system is consistent with both Euclidean Geometry and non-Euclidean Geometry.  In this, it can be seen that it is both an extension of Euclidean Geometry - "compliment" of Euclidean Geometry and also by means of completion - it has the ability to encompass non-Euclidean Geometry.  

​THE SCIENCE OF CONSCIOUSNESS

How can The Science Of Abstract Consciousness do this?  It can do this because - it is not just the study of the 'Mind' - which is in essence - what Euclidean Geometry is - in a geometrical or mathematical sense - but it goes further - it is a study of 'Consciousness' itself.  In The Science Of Abstract Consciousness - its "Postulates" - "Fundamental Laws" - "First Principles" - "Rules" and "Definitions" - makes clear - this distinctions between 'Consciousness' and 'Mind.'

THE ATTRIBUTE

One of the ways which it - "compliments" - completes" and "extends" - is through its 'consideration' of Euclidean "postulates" - "definitions" - and through the process of "deductive logic" and "reasoning" - "analogy" / "comparison" - and "definition."  By this we include the "analysis of language" - which it refers to as "terms" - it is able, in this systematic manner - to provide a more comprehensive - 'analysis' - and 'critique' of Euclidean Geometry - more fundamentally - than by simply making a "subtle" - "distinction" or "derivation" from the Euclidean system.  

"POINTS" - "LINES" & "BREADTH"

We can see the operation of this procedure - in the consideration of Euclid's "postulates" / "axioms" - relating to the point.  The point is defined as "that which has no heart."  This is pure abstraction - there cannot be a point in the Third Dimensional World - which has no part.  If there were the concluding logic - it would be, that there would be no thing.  Yet the whole of Euclidean Geometry, rests upon this foundation.  The line is an extension - "conceptually" and by "definition" of the point and similarly the "breadth" is an extension of the line.  If the "Point Postulate" - is not accepted - then one cannot proceed with the system.  Therefore, what is the system, which Euclid creates ?  It is a "non-real system" - since (in 3-dimensional terms) - a Universe of "no points" - is "nothing."  A set of "no points" - is "nothing."

ATTRIBUTES & THE REAL

Is there a way in which we can - through the use of "language" - make sense of such a logical system - a system of pure abstraction.  We can - by using "definitions."  We can define the "real" - as the "consequences" of a Euclidean Mind / Geometric system.  We can then give a name - to the "non-real" - aspect - which Euclid speaks of.  Let us call this the 'Attribute.'  Therefore, we have distinguished between the "real" in any dimensional space - as being the consequence of a "non-real attribute."  We can say - that the "non-real attribute" - is the "cause" of the "real" - which is its "consequence."  Thus, we can see that - we have the foundations - of a "Mind System" - which encompasses both the "real" and the "non-real."

​INTER-DIMENSIONAL AND HIGHER DIMENSIONAL SYSTEMS

We can take these basic foundational principles - to deduce the nature of further "inter-dimensional" or "higher dimensional" spaces and their "causes" and "effects" - "define" and "analyse" the 'Elements' / 'Terms' - 'Causes' and 'Effects' - both within (intra) and between, in terms of relations (inter) Dimensional Space.  This is one of the functions of one of The Science Of Abstract Consciousness.  

​THE THREE ATTRIBUTES

CONCLUSION

From The Science Of Abstract Consciousness - we are now able to properly consider - the nature of "Infinite Spaces" - "Infinite Energy" - such as "Zero-Point Energy."  From this study, we can develop the necessary technologies of the future - which encompass - "free energy."​

© 7-Feb2026 | Published Online: 23-Feb2026

Oladipo Adegboyega Adelaja, SOTI Collected Works

Edited by: Candice Adelaja

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