Structure, to me. Derived from the latin structus, We are structure creating creatures. IParaidolia--the phenomenon of tracing patterns. I don't want to be pedantic about definition, so the essence of In a nutshell, I believe we can apply group theory to linguistics and literary techniques to mathematics. Montague semantics Explaining the hazy conception of my head isn't going to do my ideas justice, so it's best to start with my inspiration. Group theory. Syntax Most attempts to deeply understand the nature of a thing will require the structure to be understood. If you consider a literary novel, it is one of the foremost A complete mathematical and scientific understanding of structure is unlikely. I am not aiming for a crackpot theory like that. What's more important The study of fractals. If one identifies the key structures underpinning our reality, whether physical . It's to improve thinking. If we identify structure There's a lot of philosophical questions come. Generally, any valid interpretation of structure should be transformable from another valid interpretation. More specifically, I would use the term isomorphism. I'll try to expand more on answers and arguments to these philosophical. In a sense, this essay will be considered a failure. In an effort to introduce the hazy form of my idea, a lot of intuition and formal justification will be lacking. In the hopes of , I will try to provide more concrete arguments. I am learning, so consider this an agglomeration. So how does one, structure the study of structure? There is a key dilemma. The idea of bricolage, coined by philosopher Jacques Derrida. 1. Keep the theory broad. It will be reiterated upon as we test it with new data 2. Rigorous testing. Sometimes dialectical, we will impose contrasting questions. We need to understand why certain structures are different from others. 3. Slowly formalizing the theory into a series, consolidating most of the hypotheses and assumptions into a set of clear axioms. I'll admit that I am not sure of what, but that makes me more energized to study it. Structure is pervasive throughout life, embodying the very complexity of the universe. I want to study my work as a collection of interpretations and ideas which can approximate most of the facets of structure. This is not a partition into distinct categories, it is more an identification of the most general factors; all of them interplay. For example, self-similarity, which in itself is very broad, can be thought of as the combination of symmetry"> I don't think it's possible to make a step by step exploration. Due to our linguistic, a multitude of terms embody different shades of the same concept. So I will list a lot of synonymous terms in this classification as well, but I will try to stick with Phenomenology: The conscious experience of the structure, the creation of it. As structure is formed by the mind. Emotions and qualia of consciousness cannot always be structured 1. Symmetry Symmetry is one of the fundamental properties of the physical laws and universe. Breaks in the symmetry Symmetry is fundamentally a guarantee of the existence and continuity of structure. Something cannot be symmetrical unless a pattern or. Chirality Symmetry is a form of order. 2. Function This is one of the largest categories, and one can really expand. Creation, destruction, transformation of structure. The reduction of structure into a simpler structure 3. Order/Disorder Order is a measure of how well structured a. It's a key component in the idea of entropy and Intrinsicness vs Extricness Density 3. Mereology -- the study of parts 4. Group & Association & Permutation 5. Symbolism(semiotics) The we impose. 6. Form & Dimension 6.Hierarchy: how "influence" is distributed through the system. there are certain elements of the structure that 6. Universe/Environment Structure does not exist in a vacuum. Every structure lies on a canvas which permeates, which itself has a structure. A conception lies in substrate conscious brain, The whole universe allows us to define the absence or negation of structure. Nothing is truly nothing 7. Recursion, Complexity, and Paradox the infinite recursion of the most basic unit of structure 8. Convolution and Composition, Generation, Mixing Infinitudes structure is bounded by bounds. the extended superstructure allows us to solve problems, e.g. complex analysis As an example, let's study the structure of a tree. The tree is placed in the Environment trigonometric transformations We can see how it is also similar to tree diagrams, hierarchy. dialectic questioning Prime numbers are the building blocks of repeated addition. One cannot divide the groups equally anymore. Crystallography and Q&A My best attempt at anticipating doubts and questions Isn't structure a made up, human construct? Doesn't Phenome? This is playing into the territory of murky semantics, but I think structure as a thing, . Matter would still arrange itself in a structure that is isomorphic to our current understanding of gravitation, the strong/weak nuclear forces Poststructuralism. If it helps you compartmentalize the difference, consider this field of exploration as "structural ontology", "systemic structure theory",or "metastructuralism" The idea of Bricolage: This probably deserves a Finding people. If this is something that deeply resonates with you, please do contact me. Social Structures: I will devote, but I don't consider myself a large student of critical theory. I'm seriously considering dividing these essays into bite sized chunks, if the content allows for that. For such a complex topic, I do believe. I will perhaps provide more interesting What gives you credibility? What mathematical level? Inevitably,. In order to keep the writing flowing smoothly, some concepts Just ask and I would be happy to explain it in more detail. Main Takeaways, semi-TLDR: -With the right balance of generality and specificity, I believe it is possible to make useful conclusions. Structure increases t. Even if structure cannot be easily generalized, by understanding the context structure is found in, we can learn(e.g. learning about examples of mathematical structures increases mathematical knowledge) I know time is precious, so I will try
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