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A New Invention: Axiometry

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Axiometry introduces a novel framework for understanding multidimensional relationships through its unique representation of concepts as polar opposites arranged in various dimensions. The method suggests that higher-dimensional constructs can improve the clarity and applicability of axioms, potentially leading to recursive interpretations of time and iterative processes. This paper posits the recursive nature of dimensions and emphasizes the flexibility in categorizing axiomatic relationships to enhance conceptual understanding.

A NEW INVENTION: AXIOMETRY NEW UPDATED EDITION In this short paper I describe the meaning of axiometry, a form of principle-forming, language-building, and logic-proving that I believe I invented, with some influence from Heidegger, as Heidegger was expressed in Graham Harman‘s relatively recent work, The Quadruple Object. Other influences include George Boole, ancient Asian philosophy, Kant, Wittgenstein, Whitehead, Lewis. Axiom- Principled statement -Metry- To measure, the measurement of. An axiometric statement may possess several characteristics: [1] When 0-dimensional, it may have location and properties. [2] When 1-dimensional, it may be interpreted and extended in conceptual space, a process called iteration. [3] When 2-dimensional, the method may loop back on itself, creating coherency. Truth, falsehood, and other characteristics can be derived on the principle of polar opposites positioned diagonally across from one another. [4] When 3-dimensional, the system is ideally dynamic. In keeping with the theory of hyper-cubes. However, knowledge systems involving the second dimension can be extended by using further dimensions in a circular arrangement. That is not to say that the 0-dimension cannot be complex. Indeed, perceiving the 0-dimension may depend on the characteristics of all assumed dimensions between our level of reality, and the reality of the object. For example, if our reality were made exclusively of time, and time were interpreted as the first dimension, then our axiom would usually relate to how time has no location, or how a location is time. I personally find this to be a restrictive classification. In reality, there could be two dimensions of time, or three dimensions. So it is actually inappropriate to classify that the judgment or axiom of one dimension involves time exclusively. A clearer explanation is that the first dimension is iteration or iterative process. If iteration is chronological, it is easy to see that by the fourth step, when a dynamic system is introduced, that time may be recursive, feeding back into itself. It can be seen that this is a useful abstraction, even if it is not the reality. That is, it might be desirable, or highly useful, even if we do not know how to accomplish it. Similarly with other interpretations of dimension. It is possible that the single characteristic produced by judgment does not iterate unless it has properties. If this is the case, then the introduction of time as a variable is in fact too preliminary. There is a suggestion that genuine variables only exist in higher numbers of dimensions. Thus, what is necessary is a fractionalism of the earlier variables, to produce greater resolution. If resolution is not accomplished, the result is a dependence on direct explanation, which is abbreviated as a dynamic variable, as opposed to a location, property, iteration, or cycle. One efficiency I have found is to double every level of the procedure. Thus, what is produced in the first step is relation, in the second step is continuity, the third step relativity. The fourth step I have not determined. In the system I have used so far, the fourth step is mostly a continuation of the third step. It may be that if the first stage involves four categories, then the second involves two, and the third involves one. Thus the fourth would involve zero. The method I have found for applying this involves the use of opposite categories using axes, further defining the meaning of axiometry. If that is the case, the structure is of a four-dimensional axiometric form, expressing itself primarily in the second dimension, by collapsing the third and expressing the fourth logically. The form of axiometry I believe I invented typically uses the form ’A-B::C-D’ and ‘A-D:: C-B’ where the hyphens represent conjunctions, often occurring by a combination of the quality of one word and the state of another, such as ’Democratic Intelligence’ or ’Prioritized Statehood’, the ‘JUST AS’ sign means a conjunction of opposites in opposite axial positions, and the ’JUST AS’ sign suggests a variety of neutral Boolean operators, such as ’IS’, ’JUST AS’, ’WHEN’, ’SO’, ’SUCH THAT’, ’THAT’, ’IF’, ’HOW’, ’OF’, ’ABOUT’, ’FOR’, and ’MEANS THAT’, ’FUNCTIONS SUCH THAT’, and ’ALWAYS GIVEN THE ASSUMPTIONS’. Bibliography Coppedge, Nathan. The Dimensional Philosopher’s Toolkit. Authorhouse: 2013; CSIP: 2014, 2015. Harman, Graham. The Quadruple Object. New York: Zero Books, 2010. [Original Analysis of Heidegger and presentation of object-oriented ontology, etc.]. Meillassoux, Quentin. After Finitude: An Essay on the Necessity of Contingency. London: Bloomsbury Academic, 2006. Nathan Coppedge, SCSU 10/11/2013
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