• James
    It is not only the mathematical facts which are eternal and transcendental.

    Consider the logical operators. All our human languages are describing/using different definitions for the same underlying conceptual patterns. So just as mathematical facts are there to be discovered so are the elemental concepts which make up the countless more complex concepts.

    Just as a limited number of chemical elements can form by combination a vast number of compounds so do a limited number of elemental concepts form by combination the vast number of more complex concepts.

    If you study a book like the Art of War, just as an example, there will be concepts such as stealth, deception, attack and defense.

    Such concepts are universal and are really transcendental patterns of meaning.
    In the same way that the geometric fact that there are 5 platonic solids is timeless and can be discovered by any theoretical beings with sufficient intelligence so are basic conceptual patterns 'there' to be discovered and then labeled/described by whatever language.

    So the various human languages are like an imperfect and changing froth based on an unchanging transcendental language of meaning.

    Concepts are Containers
    Imagine you had four identical carrier bags. How many ways are there arranging them within each other? Well within the parameters I am speaking of there are exactly nine possible arrangements:
    The 9 patterns for 4 conceptual containers
    For any number of such containers there are a set number of patterns in which they can be arranged. For example five containers may be arranged in a maximum of twenty such patterns.
    These "Container Numbers" are related to Rooted Trees (Graph Theory).

    A 'concept' may be likened to a container. Think of a concept such as 'cat'. It *contains* all cats.

    So think of 4 concepts: table, chair, furniture and apple. Which of the 9 patterns in the diagram corresponds with them? Try a few other sets of 4 concepts and work out which of the 9 patterns they correspond with. After a while you will appreciate that eternal mathematical patterns govern language in this and other ways.

    The Origin of Meaning
    Things in themselves are entirely empty of meaning. We project meaning onto things dependent on our interpretation of their attributes and our current relationship with them.Take the example of a tree. To a farmer clearing his field a tree would represent *Rubbish*. If you were hiding behind as someone was firing arrows at you it would represent *Shield*. To your attacker it would represent *Obstruction*. To a bird it might represent *Shelter*, to a carpenter *Raw Material*.

    These basic concepts: Rubbish, Shield, Obstruction, Shelter and Raw Material are a small unordered number of elemental concepts. They are part of an ordered and symmetrical universal set. I believe that each simple concept has an opposite concept, each pair of concepts has an opposite pair and each group of 4 concepts has an opposite 4 concepts and so on.

    There are a set number of simple elemental concepts which make up all other concepts. Each concept has a corresponding partner concept. Each partner concept cancels the other out. All basic concepts together cancel each other out to nothingness. What is this nothingness? It is literally beyond words, beyond concepts and so can not adequately be described on a merely intellectual level.

    It is this "meta-concept" from which all meaning arises. All concepts, all meanings are merely fragments of this Universal Concept beyond concepts.

    The Universal Conceptual Matrix
    Thought Experiments in aid of genuine Universality
    A tree in itself is empty of meaning. Any meaning it has for some one is entirely subjective-that is, it is projected onto the tree by them semi-consciously from within. It is a temporary relationship"perceived" by them for a limited period of time.

    Imagine someone was firing arrows at you but you were safe behind a tree. To you the tree would represent shield. From the tree's hypothetical point of view you would represent the shielded. To your attacker the tree would represent obstruction.

    Other examples: if you were a farmer clearing the land it may represent rubbish. To a bird nesting in it it might represent home. Someone with hayfever might see it as mild poison. A builder would see it as raw materials. an insect might see it as food and a "look out" might see it as vantage point.

    There are literally countless possible relationships a being may take part in, indeed the whole universe is a vast interconnected web of such relationships. They are however, all permutations of a small number of conceptual primes. These conceptual primes, far from being temporary and subjective are eternal and unchanging just like the laws of mathematics. Not only are they transcultural, they also transcend species: wherever there is dualistic consciousness they are used as a kind of common currency, the very foundation of all communication, internally within a being or externally between beings.

    They are an *alphabet of meaning* from which all other conceptual "words" and "phrases" etc are built by combination and permutation.

    The last sentence was a key one: It implies that we may utilise the tools of mathematics to map and categorize the concepts.

    Distinct levels of Conceptual Complexity
    Let us say, hypothetically, that there are 12 conceptual primes: that is 12 concepts which cannot be decomposed into simpler concepts. This would represent the simplest level of conceptual complexity.

    The next level of conceptual complexity would contain every conceptual compound composed of exactly two conceptual primes. The next level would contain every conceptual compound composed of exactly 3 conceptual primes.. and so on. The number of compounds at each level is related to the triangular numbers.

    In everyday speech and thinking it is usual that elemental concepts and conceptual compounds of varying degrees of complexity are all mixed together in a confusing way. However when we are investigating and trying to differentiate the conceptual elements from the compounds it is useful to try and separate concepts into distinct levels of complexity.

    A universal 'language' is inherent to Reality just as are the infinite number of eternal mathematical facts.
    The virtues/positive qualities also have their transcendental branch in this universal meaning pattern.

    Due to the fact that there is a universal language and logic is also universal we can use pure logic to discover eternal truths about Reality. Just as there can be discoveries of mathematical facts there can also be discoveries of eternal logical truths, eternal 'periodic tables' of elemental concepts and eternal relationships and patterns relating to those conceptual elements.

    Our human mathematical descriptions are not only describing pre-existing mathematical facts. The descriptions and languages themselves are governed by pre-existing mathematical and logical facts.

    Things to Do
    • Look through a dictionary at random and note various words and their definitions. Look for simple elemental concepts which when combined with other elemental concepts make up more complex compound concepts. Which concepts cannot be broken down into simpler concepts?
    • Think in terms of opposites. If you think of a simple concept try and work out its opposite and related concepts. Remember though that the opposite of one extreme is another extreme. Don't confuse an 'opposite' with a 'lack'.
    • look for eternal mathematical and logical principles which are necessarily shared by all languages.

    Your Questions and Comments
    This thread is locked but please start a new one in this forum. Share your views and questions regarding Module 2.

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