What do all things have in common?

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OUR LIBRARY – MATHESIS UNIVERSALIS!

This collection of books is a small, but growing example of the millions of books, journals, periodicals, and academic papers we are currently tracking and indexing. We are updating this library constantly. Please return often and review this library as it evolves.

This library is the first step on our way to making Mathesis Universalis (the long-sought search for a unifying principle in all that we know and experience) a reality. Soon our knowledge representations, in their many forms, will be accessible from the pop-up dialogues which appear when you click/tap on a book’s entry in the overview you see. Other types of knowledge sources; such as social media activity, websites, E-Mails, audio, video,… are also going to be included in our tracking and indexing system.

I, Carey G. Butler, have been working on this idea since 1989 during my study of Foundational Mathematics and Complex Analysis. I then moved to Germany in 1990 to continue my study (this time in the original German language) of many German mathematicians and philosophers such as Carl Friedrich Gauss, Bernhard Riemann, Gottfried Wilhelm Leibniz,… During that first year I began to formalise the idea as I began to learn the German language more intensively.

The journey has been a long one and was finally conceptually refined in March of 2009. The journey has taken many, many turns in the years since. I have made several key discoveries in mathematics, philosophy, and linguistics along the way which I, due to my concerns about priority, have not yet published. A few of these discoveries are documented elsewhere though, but I have been very careful to withhold many aspects of their details until I was able to find and/or adapt current technologies to bring them to a useful expression and application in their fullness. I was confronted with many obstacles and challenges, but I never gave up. For more information about my plans, please visit our website at Mathesis Universalis in English or Mathesis Universalis auf Deutsch.

As it stands, we could have created this library application a year ago. It is, in itself, nothing very special for programmers who know how to build applications like it. However, as we developed and tested the predecessor to this application, it soon became very clear that the sheer volume of data being manipulated was creating increasing demands on the conventional technology we were using at the time. Our concerns about processing time, network speed, and infrastructural demands forced us to step back and create a better foundation which could be scaled to any degree. We have spent the last 8 months (August 2021 – April 2022) building a ‘symphony’ of cloud applications and an infrastructure which is now fast, reliable, and scalable.

Towards that aim, this library represents the ‘orchestration’ of a collection of cloud apps we created or have forked and modified for our purposes that is distributed over several servers. Its backend is primarily driven by a distributed Couchbase database to store and to manipulate the massive amount of data. Also other kinds of databases are implemented for temporary storage or for the frontend’s presentation and housekeeping.

We are currently developing a Progressive Web App which will use this library as one of its sources to present our knowledge representation.

Finally, after 13 years of investment of all kinds and, on the 8th birthday of one of my most important discoveries (‘We Have a Heartbeat‘),…

The stage is set… let the play begin!

Posted by  |  May 7, 2022 | Categories: Mathesis Universalis | Tags: , , , , , , , | Leave a comment

Why do some people want to destroy other people?

My answer to this question on Quora here: https://www.quora.com/Why-do-some-people-want-to-destroy-other-people/answer/Carey-G-Butler?__nsrc__=4&__snid3__=7837281943

Often they do it, because those who destroy others’ lives are themselves miserable or have destroyed their own lives.

Another reason is to advance objectives that are held by the person or held by the people the person works for. Alphabet agencies like CIA, NSA, NSC, BND, MOSSAD, UNO,… there are even documented examples of Microsoft, Apple, Google, Twitter, and Facebook having exhibited this behaviour.

They usually harbour some form of disdain for others or humanity as a whole. Or they are incapable of human properties like empathy (pathology of some kind).

Humanity is comprised of many spectra; those of ideologies, values, goals, methods, knowledge, power,… These spectra, when placed upon their side like a sine wave (which is actually a spiral), look like Bell curves of some type. There are many variants of these curves.

Here are a few examples:

bell curve at DuckDuckGo

Note how each Bell curve exhibits specific properties. Among those properties are the distribution of an inherent ‘population’. The population of the curve could be anything, not just people. They also have outliers. Those of the population which exist on the extreme left or right of the curve.

If we had a particular set of properties to examine, we may place the distribution of this property into one or more of these curves. Let’s take banksters, who can be, and usually are very destructive.

We would have at least 5 curves to describe their population.

  • Intelligence: where they usually (always exceptions to outliers) occupy the upper portion of the curve (where it gets real small).
  • Empathy: where they usually occupy the extreme lower part of the spectrum.
  • Control fetish: where they are usually found in the middle of the spectrum.
  • Hoarding: again in the centre.
  • You could continue in this vein to describe them so uniquely, that even language can’t keep up with its ‘granularity’ (increasing specificity). Things like available resources, socialising debt, privatising profit, corruption, warmongering, demographic changes, jail time, manipulative tendency, fear,…

That is where language is then transformed into knowledge.

As you see, people who destroy other’s lives can easily be found using this method.

Posted by  |  Apr 26, 2020 | Categories: Mathesis Universalis | Tags: , , , , , | Leave a comment

Universal Constants, Variations, and Identities #10 All holons have at least six fundamental capacities. (Revised)

#10 All holons have at least six fundamental capacities. (Revised)

#10 – All Holons have at least four fundamental capacities. (Potential)
*** REVISION ***
#10 – All Holons have at least six fundamental capacities. (Potential)

Horizontal (Span):
1) Agency (Maintaining wholeness/identity) Pull to wholeness
2) Communion (Maintaining partness/relationship) Pull to partness

Vertical (Depth):
3) Transcendence (Becoming more wholeness) Pull upwards
4) Dissolution (Breaking down into constituent parts) Pull downwards

Lateral (Transverse – Direction of Change): *** NEW ***
5) Interiority – Change towards or within its interior (enfolding/recursion)
6) Exteriority – Change towards or without its exterior (unfolding/emergence)

(see #6 for definition of holon)

See http://mathesis-universalis.com for more information.

#Knowledge #Wisdom #Insight #Learning #Understanding
#Constants #Variances #Metaphysics #Philosophy
#MathesisUniversalis #ScientiaUniversalis #PhilosophiaUniversalis #LogicaUniversalis #MetaMathematics #MetaLogic #MetaScience #MetaPhilosophy
#MetaphysicaUniversalis #MetaphysicaGeneralis

Posted by  |  Nov 23, 2018 | Categories: Mathesis Universalis | Leave a comment

Some Weaknesses of Communism and Karl Marx’s ‘Work’

mw75680One reason why Karl Marx is so revered is, because ‘intellectuals’ don’t realise that he based his political philosophy on the work of the philosophers of his day, as well as those which came before. Some aspects of these philosophies are now out-dated and have been superseded by modern philosophers who came after.

Most academics are not aware of this, because the works of Marx are so involved and complex, that they do not easily lend themselves to a single individual’s understanding (even for Marx himself!). So they simply don’t go into depth on their own or they trust what others say! They need not do any real thinking on their own. They must simply adopt this weaponised and cancerous perspective to see themselves as part of a larger idea and to create and discover themselves within it.

Another reason for the continued adherence to his political philosophy is that it provides those, who are addicted to control and collectivism, to maintain their efforts to dominate and subjugate those, such as we, who do not belong to their hegemony: the banksters.

While these very banksters control to what extent and which corporations fund research, they continue to put their money where their belief structure lies.

Here are two examples of how Marx was in way beyond his depth regarding philosophy in particular and history in general:

The Marxist dialectic was adapted from Hegel’s Dialectic and weaponised via historical materialism. It purports to be a reflection of the real world created by man, but it is faulty. His version of history was being perverted by a collectivist mental lens.

Also, the dialectic has been found to be incomplete. There are other mechanisms responsible for change as well determining truth of validity claims. Modern philosophy can literally ‘sink his ships’ on every principle he re-defined and/or incorrectly understood.

I must add that I have been examining his ‘work’ over many years now. I have also compared it to the work of others such as Henry George and Lysander Spooner among many others. My work is going to reveal how childish, despite how involved/complex, that mind of Marx was.

There will come a day when adherents to Marxism will be ashamed of themselves. They will finally see that they have allowed themselves to be indoctrinated (duped) into a weaponised and destructive system that, had they thought through it in light of other philosophers, would not have ever taken hold.

The premature globalist parasites have injected into our cultures that Marxism is ‘intellectual’ and ‘sophisticated’, because it affords them with an ideology capable of allowing the destruction of present social and cultural constructions without reservation. Why should we concern ourselves with out-dated cultural and social entities when utopia awaits for us?

 They subscribe to the false meme: “The ends justify their means.” when, in actuality, the means determine their ends. Destructive means… destructive ends.

Marxism is a means for the tyranny of a few to be made palatable to the masses. The very same families who were responsible for Imperialism are those now aiding and abetting the invasion of Europe as well as the social engineering being worked upon our societies and cultures.

My life would be a success in my own eyes if I only achieve this goal, but my life’s work has something much greater in meaning.

#Marxism #Collectivism #FakePhilosophy #SocialEngineering #ClassStruggle #Myopy

Posted by  |  May 23, 2018 | Categories: Authoritarianism, Communism, Government Run Amok, Humanity, Leninism, Premature Globalism | Leave a comment

Why is it so hard to prove that e+pi or e*pi is irrational/rational?

The reason why it is so hard to prove is actually very easy to answer. These constants, identities, and variations being referred to in this post, and others like it, all lay embedded in a far deeper substrate than current mathematics has yet explored.

Mathematics has been, and always shall be my ‘first love’, and it has provided for me all of these years. I am not criticising mathematics in any way. It is my firm belief that mathematics will overcome this current situation and eventually be quite able to examine these kinds of questions in a much more expansive and deeper way.

We need to extend our examination of mathematical knowledge, both in depth and in scope, out farther and in deeper than numbers (sets and categories as well – even more below) have yet done. I’ll introduce you to a pattern you may have already noticed in the current stage of our mathematical endeavour.

We all know there are numbers which lay outside of Q which we call Irrational numbers. There are also numbers which lay outside of R which we call Imaginary numbers. They have both been found, because the domain of questioning exceeded the range of answers being sought within the properties each of those numbers. This pattern continues in other ways, as well.

We also know there are abstractions and/or extensions of Complex numbers where the ‘air starts to get thin’ and mathematical properties start to ‘fade away’: Quaternions, Octonians, Sedenions,…

This pattern continues in other ways: Holors, for example, which extend and include mathematical entities such as Complex numbers, scalars, vectors, matrices, tensors, Quaternions, and other hypercomplex numbers, yet are still capable of providing a different algebra which is consistent with real algebra.

The framing of our answers to mathematical questions is also evolving. Logic was, for example, limited to quite sophisticated methods that all were restricted to a boolean context. Then we found other questions which led to boundary, multi-valued, fuzzy, and fractal logics, among a few others I haven’t mentioned yet.

Even our validity claims are evolving. We are beginning to ask questions which require answers which transcend relationship properties such as causality, equivalence, and inference in all of their forms. Even the idea of a binary relationship is being transcended into finitary versions (which I use in my work). There are many more of these various patterns which I may write about in the future.

They all have at least one thing in common: each time we extend our reach in terms of scope or depth, we find new ways of seeing things which we saw before and/or see new things which were before not seen.

There are many ‘voices’ in this ‘mathematical fugue’ which ‘weaves’ everything together: they are the constants, variations, identities, and the relationships they share with each other.

The constants e, π, i, ϕ, c, g, h  all denote or involve ‘special’ relationships of some kind. Special in the sense that they are completely unique.

For example:

  • e is the identity of change (some would say proportion, but that’s not entirely correct).
  • π is the identity of periodicity. There’s much more going on with \pi than simply being a component of arc or, in a completely different context, a component of area…

These relationships actually transcend mathematics. Mathematics ‘consumes’ their utility (making use of those relationships), but they cannot be ‘corralled in’ as if they were ‘horses on the farm’ of mathematics. Their uniqueness cannot be completely understood via equivalence classes alone.

  • They are ubiquitous and therefore not algebraic.
  • They are pre-nascent to number, equivalence classes, and validity claims and are therefore not rational.

These are not the only reasons.

It’s also about WHERE they are embedded in the knowledge substrate compared to the concept of number, set, category…. They lay more deeply embedded in that substrate.

The reason why your question is so hard for mathematics to answer is, because our current mathematics is, as yet, unable to decide. We need to ‘see’ these problems with a more complete set of ‘optics’ that will yield them to mathematical scrutiny. 

Question on Quora

Posted by  |  Apr 25, 2018 | Categories: Holors, Insight, Knowledge, Knowledge Representation, Learning, Mathematics, Mathesis Generalis, Mathesis Universalis, Metamathematics, Philosophy of Language, Philosophy of Learning, Philosophy Of Mind, Understanding, Wisdom | Tags: , , , , , , , , , | Leave a comment

Is the P=NP Problem an NP Problem?

What I’m going to say is going to be unpopular, but I cannot reconcile my own well-being without giving you an answer to this problem from my perspective.

My only reason for reluctantly writing this, knowing what kind of reaction I could receive is, because I abhor that some of the best minds on our planet are occupying themselves with this problem. It pains me to no end to see humanity squandering its power for a problem that, as it is currently framed, is unanswerable. It goes further than this though. There will come a time when questions such as this one will be cast upon the junk heap of humanity’s growth throughout history. It will take its rightful place along such ideas as phrenology.

Here’s why I say this:

The problem is firmly and completely embedded in Functional Reductionism. I say this, because the problem’s framing requires us to peel away the contextual embedding of the problems for which it is supposed to clarify.

This is just one of its problems. Here’s another:

Since the data for this problem (and those like it) are themselves algorithms, they are compelled to be functionally reduced versions of mind problem solving (varying types of heuristics and decision problems) which reduces the problem’s causal domain and its universe of discourse even further. How can a specification based upon functionally reduced data be again used as data for the problem’s solution in the first place?

That means that this problem has no independent existence nor causal efficacy. Everywhere I have looked at this problem, the definitions of NP-Hard and NP-Complete do not lead to proving anything useful. We cannot ‘generalise’ the mind by reducing it to some metric of complexity. Complexity is also not how the universe works as Occam’s Razor[1] shows.

I am prepared to defend my position should someone have the metal to test me on this. Another thing: I wish I could have left this alone, but we all need to wake up to this nonsense.

[1] http://bit.ly/2GHbRkW How Occam’s Razor Works

[Quora] http://bit.ly/2EuRdP3

Posted by  |  Apr 9, 2018 | Categories: Big Data, Complexity, Functionalism, Mathesis Generalis, Mathesis Universalis, Reductionism, Science run amok, Technology run amok | 2 Comments

Getting Hypertension About Hyperreals

HyperReals(Links below)

This system is quite interesting if we allow ourselves to talk about the qualities of infinite sets as if we can know their character completely. The problem is, any discussion of an infinite set includes their definition which MAY NOT be the same as any characterisation which they may actually have.

Also, and more importantly, interiority as well as exteriority are accessible without the use of this system. These ‘Hyperreals’ are an ontological approach to epistemology via characteristics/properties we cannot really know. There can be no both true and verifiable validity claim in this system.

https://www.youtube.com/watch?v=rJWe1BunlXI (Part1)
https://www.youtube.com/watch?v=jBmJWEQTl1w (Part2)

Posted by  |  Mar 29, 2018 | Categories: Big Data, Knowledge, Knowledge Representation, Language, Learning, Mathematics, Mathesis Generalis, Mathesis Universalis, Metamathematics, Philosophy, Philosophy of Language, Philosophy of Learning, Philosophy Of Mind, Semantics, Wisdom | Tags: , , , , , , , , , , , | Leave a comment

Knowledge Representation – Holographic Heart Torus

Holographic Heart Torus

Holographic Heart Torus by Ryan Cameron on YouTube

Posted by  |  Mar 11, 2018 | Categories: Fractals, Holons, Holors, Hyperbolic Geometry, Knowledge, Knowledge Representation, Language, Learning, Linguistics, Mathematics, Mathesis Generalis, Mathesis Universalis, Metamathematics, Philosophy, Philosophy of Language, Philosophy of Learning, Philosophy Of Mind, Semantic Web, Semantics, Understanding, Wisdom | Tags: , , , , | 1 Comment

Knowledge Representation – Fractal Torus 1

Fractal Torus 1 by Ryan Cameron on YouTube

Posted by  |  Mar 11, 2018 | Categories: Fractals, Holons, Holors, Hyperbolic Geometry, Knowledge, Knowledge Representation, Learning, Linguistics, Mathesis Universalis, Philosophy of Language, Philosophy of Learning, Philosophy Of Mind, Semantic Web, Semantics | Tags: , , , , , , , , , , | Leave a comment

“How much knowledge does the understanding in words contain?”

hermandadblanca_universo-mente-fractal-geometria-sagrada

Words are symbolic indications and/or conveyors of meaning and are not that meaning in themselves.

Meaning is found, stored, and manipulated in our minds. This is why different languages are capable, in varying degrees of usefulness, to convey meaning which is very similar to that found via the symbols of any other.

déjà vu 01

It It is also the reason why there are words indicating meaning that are not found in other languages; or, if found in a different language, the other language requires more of its own structure, dynamics, and resonance to convey the same meaning.

dèja vu 02

For example: the words ‘déjà vu’ in French are found in German ‘schon gesehen’ and in English ‘already seen’, but these phrases do not convey the full meaning found in the French version. To counter this deficit, their meaning in other languages must be ‘constructed’ out of or ‘fortified’ by the careful use of longer strings of symbols. This additional construction and/or fortification may even fail at times. This is often where the word phrase from a different language is simply added to the language in which the concept is missing.

This same situation is found in the literature of many languages. The words used to convey meaning are condensed and may contain more meaning than is usually the case. In this regard, even the person reading/hearing the words may not possess the competence necessary to catch this condensed meaning in its fullness.

Mathematical expressions, albeit more precise, are also indications of meaning. They are more robust in their formulation, but at ever-increasing depth or scope, even they may fail to reliably or conveniently convey meaning.

dèja vu 03

Our understanding of what words mean is not always accurate, but where our mutual understanding of the meaning of words overlaps, and the degree to which they overlap, is where their meaning can be shared.

Our own personal understanding of words is measured by our ability to apply their meaning in our lives.

There is also a false meme, which I would like to clarify.

“Knowledge is Power!”

It is wrongly said that ‘Knowledge is power’. The truth is another: Knowledge is the measure of usefulness of what we understand and is the only true expression of its ‘power’.

The value of Knowledge is found in its usefulness and not in its possession.

My Quora Answer

Posted by  |  Dec 31, 2017 | Categories: Mathesis Universalis, Philosophy of Language, Philosophy of Learning, Philosophy Of Mind, Semantics | Tags: , , , , , , , , , , | Leave a comment