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Trikonic, is a proposed method of philosophical analysis-synthesis. It is based on Charles Sanders Peirce's "trichotomic", which he described in 1888 as "the art of making three-fold divisions". Trikonic, or "diagrammatic trichotomic", was developed by Gary Richmond in 2005. [1]
A major part of trikonic analysis is the three Peircean categories; these consist of firstness, secondness and thirdness:
Another way of describing the basic understanding of these notions is from Sowa:
Trikonically represented, the categories are (Figure 2.0):
There are many ways in which these notions can be interpreted.[ according to whom? ] These can be represented as:
Peirce's Three Universes of Experience (Figure 3.0):
These in turn represent Peirce's three Universal Categories (Figure 4.0 The Universal Categories):
In addition to the universal categories, there are equivalent Existential Categories (Figure 5.0 The Existential Categories):
We can also trikonically analyse thought, by identifying three Logical Modalities[ according to whom? ] (Figure 6.0 The Logical Modalities):
With these representations in mind, firstness, secondness and thirdness can be defined as the following[ according to whom? ]:
There are six vectors[ according to whom? ] that can be used in trikonic vector analysis; these are shown in Figure 7.0.
These six vectors have also been referred to as “directions of movement through the trikon” (Richmond, 2005). They are permutations of the triad, i.e. they are different arrangements of the order of firstness, secondness and thirdness. They represent the relationships between firstness (1ns), secondness (2ns) and thirdness (3ns) for the object that is being analysed.
Within trikonic are six directions, which are all permutations of logical paths of relations keeping the notion of 1ns, 2ns and 3ns throughout the object under consideration.
You can interpret these in many ways, for example, the Determination Vector and Representation Vector (Please refer to Figure 8.0 and Figure 9.0).[ according to whom? ]
The reasoning behind the exploration of the six vectors within the triad aims at bringing a new view on analysis and a more systematic treatment to some of the difficult issues which arise especially in semiotic analysis, i.e. the vector process is a graphically logical analysis with aspects of dependence and constraint, and correlation, which tie in with the "living" reflection of the categories by the semiotic triad.[ according to whom? ]
The reasoning behind the vector analysis is to use the permutations within the triad for the theory and any actual semiosis, mostly the analysis of complex virtual communicative projects.[ according to whom? ] Semiosis is defined as:
"Semiosis is the making or production of meaning. The term was introduced by Charles Peirce (1839-1914) to describe the process of signification within the science of signs now termed semiology".
Trikonic analysis could lead to a kind of trikonic synthesis (the combination of separate elements or substances to form a coherent whole producing fundamental change in the further evolution of virtual community development.[ weasel words ]
Richmond suggests that “not all things can be trikonically analysed” (2005). However, there has been investigation into whether trikonic can be applied to HCI related issues.[ according to whom? ] Especially, those issues concerned with websites and culture, trikonic analysis using the Peircean Category Theory has been used to analyse how trust is invoked in a user when using websites.[ according to whom? ] It may be possible to use 1ns, 2ns and 3ns to categorise features of a website, for example the visual elements, colours or text used, layout, the content of the website, credibility, how the elements relate to the users actual purpose of using the website etc.[ weasel words ]
One of the purposes of trikonic is to explore whether it can help to identify what elements of a website actually influence the user to perceive it to be credible or not.[ according to whom? ]
When approaching software problems like the interoperability of CG tools, it is often useful to look at a situation from a software engineering perspective to find a solution. However, with the use of trikonic it is possible to approach the software engineering problem in this way. Trikonic analysis is a very sophisticated method,[ weasel words ] and as shown in the examples above it can be used in many different ways and scenarios. Again, using the notions of 1ns, 2ns and 3ns it may be possible to see how certain elements of the CG tools relate to each other in this way and produce a good solution from this.[ weasel words ]
Examples of the three categories could be the programming language, the CG language and the architecture of the software. From this you could say, that:
“this CG language is a possibility” (1ns), “the programming language needs to be…” (2ns), “the architecture of the software is…” (3ns).
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Charles Sanders Peirce was an American scientist, mathematician, logician, and philosopher who is sometimes known as "the father of pragmatism". According to philosopher Paul Weiss, Peirce was "the most original and versatile of America's philosophers and America's greatest logician". Bertrand Russell wrote "he was one of the most original minds of the later nineteenth century and certainly the greatest American thinker ever".
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Abductive reasoning is a form of logical inference that seeks the simplest and most likely conclusion from a set of observations. It was formulated and advanced by American philosopher and logician Charles Sanders Peirce beginning in the latter half of the 19th century.
In logic, a three-valued logic is any of several many-valued logic systems in which there are three truth values indicating true, false, and some third value. This is contrasted with the more commonly known bivalent logics which provide only for true and false.
In semiotics, a sign is anything that communicates a meaning that is not the sign itself to the interpreter of the sign. The meaning can be intentional, as when a word is uttered with a specific meaning, or unintentional, as when a symptom is taken as a sign of a particular medical condition. Signs can communicate through any of the senses, visual, auditory, tactile, olfactory, or taste.
A pragmatic theory of truth is a theory of truth within the philosophies of pragmatism and pragmaticism. Pragmatic theories of truth were first posited by Charles Sanders Peirce, William James, and John Dewey. The common features of these theories are a reliance on the pragmatic maxim as a means of clarifying the meanings of difficult concepts such as truth; and an emphasis on the fact that belief, certainty, knowledge, or truth is the result of an inquiry.
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An existential graph is a type of diagrammatic or visual notation for logical expressions, created by Charles Sanders Peirce, who wrote on graphical logic as early as 1882, and continued to develop the method until his death in 1914. They include both a separate graphical notation for logical statements and a logical calculus, a formal system of rules of inference that can be used to derive new theorems from existing ones.
Representation is the use of signs that stand in for and take the place of something else. It is through representation that people organize the world and reality through the act of naming its elements. Signs are arranged in order to form semantic constructions and express relations.
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A sign relation is the basic construct in the theory of signs, also known as semiotics, as developed by Charles Sanders Peirce.
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This Charles Sanders Peirce bibliography consolidates numerous references to the writings of Charles Sanders Peirce, including letters, manuscripts, publications, and Nachlass. For an extensive chronological list of Peirce's works, see the Chronologische Übersicht on the Schriften (Writings) page for Charles Sanders Peirce.
Diagrammatic reasoning is reasoning by means of visual representations. The study of diagrammatic reasoning is about the understanding of concepts and ideas, visualized with the use of diagrams and imagery instead of by linguistic or algebraic means.
Charles Sanders Peirce began writing on semiotics, which he also called semeiotics, meaning the philosophical study of signs, in the 1860s, around the time that he devised his system of three categories. During the 20th century, the term "semiotics" was adopted to cover all tendencies of sign researches, including Ferdinand de Saussure's semiology, which began in linguistics as a completely separate tradition.
On May 14, 1867, the 27–year-old Charles Sanders Peirce, who eventually founded pragmatism, presented a paper entitled "On a New List of Categories" to the American Academy of Arts and Sciences. Among other things, this paper outlined a theory of predication involving three universal categories that Peirce continued to apply in philosophy and elsewhere for the rest of his life. The categories demonstrate and concentrate the pattern seen in "How to Make Our Ideas Clear", and other three-way distinctions in Peirce's work.
In music theory, an inversion is a rearrangement of the top-to-bottom elements in an interval, a chord, a melody, or a group of contrapuntal lines of music. In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory.
The pragmatic maxim, also known as the maxim of pragmatism or the maxim of pragmaticism, is a maxim of logic formulated by Charles Sanders Peirce. Serving as a normative recommendation or a regulative principle in the normative science of logic, its function is to guide the conduct of thought toward the achievement of its purpose, advising on an optimal way of "attaining clearness of apprehension". Here is its original 1878 statement in English when it was not yet named:
It appears, then, that the rule for attaining the third grade of clearness of apprehension is as follows: Consider what effects, that might conceivably have practical bearings, we conceive the object of our conception to have. Then, our conception of these effects is the whole of our conception of the object.
Earthscore is a notational system that enables collaborating videographers to produce a shared perception of environmental realities. The system optimizes the use of video and television in the context of the environmental movement by incorporating the cybernetic ideas of Gregory Bateson and the semiotics of Charles Sanders Peirce. The intent of the system is to generate human behaviors that comply with the self-correcting mechanisms of the Earth. Earthscore has been studied and utilized by university students and academics worldwide since 1992.
