Yes and no.
The equivalence relation lies deeper within the knowledge representation and it’s foundation.
There are other knowledge prerequisites which lie even deeper within the knowledge substrate than the equivalence relation.
The concepts of a boundary, of quantity, membership, reflexivity, symmetry, transitivity, and relation are some examples.
September 9, 2017 | Categories: Insight, Knowledge, Knowledge Representation, Language, Learning, Linguistics, Mathematics, Mathesis Generalis, Mathesis Universalis, Metamathematics, Metaphysics, Noosphere, Philosophy, Philosophy of Learning, Philosophy Of Mind, Semantic Web, Semantics | Tags: knowledge, Language, learning, Linguistics, Logica Generalis, Logica Universalis, Mathematica Generalis, Mathematica Universalis, Mathesis Generalis, Mathesis Universalis, Philosophy, understanding | Leave a comment
Is Mathematics Or Philosophy More Fundamental?
Answer: Philosophy is more fundamental than mathematics.
This is changing, but mathematics is incapable at this time of comprehensively describing epistemology, whereas, philosophy can.
Hence; mathematics is restrained to pure ontology. It does not reach far enough into the universe to distinguish anything other than ontologies. This will change soon. I am working on exactly this problem. See http://mathematica-universalis.com for more information on my work. (I’m not selling anything on this site.)
Also, mathematics cannot be done without expressing some kind of philosophy to underlie any axioms which it needs to function.
Implication is a ‘given’ in mathematics. It assumes a relation which we call implication. Mathematics certainly ‘consumes’ them as a means to create inferences, but the inference form, the antecedent, and the consequent are implicit axioms based upon an underlying metaphysics.
Ergo: philosophy is more general and universal than mathematics.
Often epistemology is considered separate from metaphysics, but that is incorrect, because you cannot answer questions as to ‘How do we know?” without an underlying metaphysical framework within which such a question and answer can be considered.
May 7, 2017 | Categories: Big Data, Knowledge Representation, Mathematics, Mathesis Generalis, Mathesis Universalis, Philosophy, Semantic Web | Tags: Big Data, insight, knowledge, learning, Philosophy of Language, Philosophy Of Mind, Semantic Web, Smart Data, understanding, wisdom | Leave a comment
Universal Constants, Variations, and Identities (Dimension)
#18 Dimension is a spectrum or domain of awareness: they essentially build an additional point of view or perspective.
We live in a universe of potentially infinite dimension. Also, there are more spatial dimensions than three and more temporal dimensions than time (the only one science seems to recognize). Yes, I’m aware of what temporal means; Temporal is a derived attribute of a much more fundamental concept: Change. One important caveat: please bear in mind that my little essay here is not a complete one. The complete version will come when I publish my work.
The idea of dimension is not at all well understood. The fact is, science doesn’t really know what dimension is; rather, only how they may be used! Science and technology ‘consume’ their utility without understanding their richness. Otherwise they would have clarified them for us by now.
Those who may have clarified what they are get ignored and/or ridiculed, because understanding them requires a larger mental ‘vocabulary’ than Physicalism, Reductionism, and Ontology can provide.
Our present science and technology is so entrenched in dogma, collectivism, and special interest, that they no longer function as they once did. The globalist parasites running our science and technology try their best to keep us ‘on the farm’ by restricting dimension, like everything else, to the purely physical. It’s all they can imagine.
That’s why many of us feel an irritation without being able to place our finger on it when we get introduced to dimension. We seem to ‘know’ that something just doesn’t ‘rhyme’ with their version.
Time and space may be assigned dimensionality, in a purely physical sense if necessary, but there are always underlying entities much deeper in meaning involved that are overlooked and/or remain unknown which provide those properties with their meaning. This is why the more sensitive among us sense something is wrong or that something’s missing.
Let us temporarily divorce ourselves from the standard ‘spatial’ and ‘temporal’ kinds of ‚dimension’ for a time and observe dimension in its essence.
Definitions are made from them: in fact, dimensions function for definitions just as organs do for the body. In turn, dimension has its own set of ‘organs’ as well! I will talk about those ‘organs’ below.
Dimension may appear different to us depending upon our own state of mind, level of development, kind of reasoning we choose, orientation we prefer, expectations we may have,… but down deep…
Everything, even attributes of all kinds, involve dimension. We must also not forget partial dimension such as fractals over complex domains and other metaphysical entities like mind and awareness which may or may not occupy dimension. Qualia (water is ‘wet’, angry feels like ‘this’, the burden is ‘heavy’) are also dimensional.
Dimensions are ‘compasses’ for navigating conceptual landscapes. We already think in multiple dimension without even being aware of it! Here’s is an example of how that is:
[BTW: This is simply an example to show how dimension can be ‘stacked’ or accrued. The items below were chosen arbitrarily and could be replaced by any other aspects.]
♦ Imagine a point in space (we are already at 3d [x,y,z]) – actually at this level there are even more dimensions involved, but I will keep this simple for now.
♦ it moves in space and occupies a specific place in time (now 4d) 3d + 1 time dimension
♦ say it changes colour at any particular time or place (5d)
♦ let it now grow and shrink in diameter (6d)
♦ if it accelerates or slows its movement (7d)
♦ if it is rotating (8d)
♦ if it is broadcasting a frequency (9d)
♦ what if it is aware of other objects or not (10d)
♦ say it is actively seeking contact (connection) with other objects around it (11d)
♦ … (the list may go on and on)
As you can see above, dimensions function like aspects to any object of thought.
Dimensionality becomes much clearer when we free ourselves from the yoke of all that Physicalism, Reductionism, and Ontology.
Let’s now look at some of their ‘organs’ as mentioned above as well as other properties they have in common:
- They precede all entities except awareness.
- Awareness congeals into them.
- They form a first distinction.
- They have extent.
- They are integrally distributed.
- They have an axial component.
- They spin.
- They vibrate.
- They oscillate.
- They resonate.
- They may appear as scalar fields.
- Their references form fibrations.
- They are ‘aware’ of self/other.
- Their structural/dynamic/harmonic signature is unique.
- They provide reference which awareness uses to create perspective meaning.
- Holons are built from them.
Sacred Geometry 29 by Endre @ RedBubble:
September 7, 2016 | Categories: Constants, Holons, Holors, Knowledge, Knowledge Representation, Language, Learning, Linguistics, Mathematics, Mathesis Generalis, Mathesis Universalis, Meta Logic, Metamathematics, Metaphysics, Perspective, Philosophy, Scalars, Semantics, Understanding, Variations, Wisdom | Tags: BigData, First Distinction, insight, knowledge, Knowledge Representation, learning, Logica Universalis, Mathesis Universalis, Metalogic, Metaphysics, Philosophia Universalis, Scalar Field, Scalars, Scientia Universalis, Semantics, understanding, Universal Constants, Variances, wisdom | Leave a comment
The project is now coming to conclusion (finally). In this video I show an example knowledge molecule being ‘examined’ by the knowledge representation.
I’ve hidden the other actors in this demonstration and have simplified the instrumentation to preserve my priority on my work.
Be patient! It won’t be long now… I have the theoretical underpinnings already behind me. Now it’s only about the representation of that work.
August 12, 2016 | Categories: Big Data, Holons, Holors, Knowledge, Knowledge Representation, Language, Learning, Linguistics, Long Data, Mathematics, Mathesis Generalis, Mathesis Universalis, Meta Logic, Metamathematics, Metaphysics, Philosophy, Semantics, Understanding, Wisdom | Leave a comment
Distinctions that are no differences, are incomplete, or are in discord.
In knowledge representation these ‘impurities’ (artificiality) and their influence are made easy to see.
In groks you will see them as obfuscation fields. That means darkening and/or inversion dynamics. The term refers to the visual representation of an obfuscated field, and can also be represented as dark and/or inverted movements of a field or group. I concentrate more on the dark versions here and will consider the inversions (examples of lying) in a future post.
They bring dynamics that are manipulative, artificial, or non-relevant into the knowledge representation. Their dynamic signatures make them stand out out like a sore thumb.
Cymatic images reveal these dynamics too. There are multiple vortexes, each with their own semantic contribution to the overall meaning to a knowledge molecule or group.
Here is an example of a snow flake (seen below) https://www.flickr.com/photos/13084997@N03/12642300973/in/album-72157625678493236/
From Linden Gledhill.
Note that not all vortexes are continuous through the ‘bodies’ of the molecules they participate in. Also, in order to correctly visualize what I’m saying, one must realize that the cymatic images are split expressions. That means to see the relationship, you must add the missing elements which are hinted at by the image.
Every cymatic image is a cut through the dynamics it represents.
We are in effect seeing portions of something whole. Whole parts are dissected necessarily, because the surface of expression is limited to a ‘slice’ through the complete molecule.
(Only the two images marked ‘heurist.com’ are my own! The other images are only meant as approximations to aid in the understanding of my work.)
April 28, 2016 | Categories: Big Data, BigData, Holons, Holors, Insight, Knowledge, Knowledge Representation, Language, Learning, Linguistics, Mathematics, Mathesis Generalis, Mathesis Universalis, Metamathematics, Semantics, Wisdom | Tags: insight, knowledge, learning, Logica Universalis, Mathesis Universalis, Philosophia Universalis, understanding, wisdom | Leave a comment
Universal Constants, Variations and Identities
#13 Knowledge is what awareness does. (Knowledge)
I’ve published this before elsewhere, but it must be restated now for what is to follow (I’m starting a new octave).
#Knowledge #Wisdom #Understanding #Learning #Insight #Constants #Variances #Metaphysics #Philosophy #MathesisUniversalis #ScientiaUniversalis #PhilosophiaUniversalis #LogicaUniversalis #MetaMathematics #MetaLogic #MetaScience #MetaPhysics #MetaPhilosophy #Awareness
February 3, 2015 | Categories: Big Data, BigData, Identities, Knowledge, Knowledge Representation, Learning, Logic, Mathematics, Mathesis Universalis, Metamathematics, Metaphysics, Philosophy, Science, Understanding, Wisdom | Tags: Awareness, Constants, Identities, insight, knowledge, learning, Logica Universalis, Mathesis Universalis, Metalogic, Metamathematics, MetaPhilosophy, Metaphysics, Metascience, Philosophia Universalis, Philosophy, Scientia Universalis, understanding, Universal Constants, Variances, wisdom | Leave a comment
#6 Reality is composed of whole parts. (Holons)
Arthur Koesler coined the term ‘Holon’ that refers to entities as both wholes and parts of some other whole.
For example: a whole atom is part of a whole molecule, which is part of a whole cell, which is part of a whole organism,… Each of these entities are neither a whole or a part; rather, a whole part or Holon.
There’s a 2000 year old philosophical squabble between atomists and holists: “Which is ultimately real – the whole or the part?” The answer is neither or both, if you prefer…
There are only ‘whole-parts’: Holons.
[More are coming soon in a new post…]
December 19, 2014 | Categories: Holons, Knowledge, Mathematics, Mathesis Universalis, Metamathematics, Metaphysics, Philosophy, Understanding, Wisdom | Tags: Constants, Holons, knowledge, learning, Logica, Logica Universalis, Mathesis, Mathesis Universalis, Metalogic, Metaphysics, Philosophia, Philosophia Universalis, Philosophy, Scientia, Scientia Universalis, understanding, Universal Constants, Universalis, Variances, wisdom | Leave a comment