Your idea is that all analytic statements are the direct result of performative acts................My suspicion is that your account is based on considering only one type of analytic statement.. — Banno
Your example may be reworded as: "a triangle is a plane figure, a polygon, where the sum of the internal angles is 180 deg", thereby defining "a triangle".
This is a complex concept, so can be carried out in a straightforward Performative Act of Naming, where one word is defined as a set of other words. This is a purely linguistic process, not requiring any link from word to world, and not requiring any link from linguistic to extralinguistic.
Where do "Gavagai", the inscrutability of reference and the indeterminacy of translation fit in this account? — Banno
The gavagai problem may be solved by taking into account the fact that there are simple and complex concepts, and these must be treated differently. In language, first there is the naming of simple concepts, and only then can complex concepts be named, such as the complex concept "gavagai".
Simple concepts include things such as the colour red, a bitter taste, a straight line, etc, and complex concepts include things such as mountains, despair, houses, governments, etc.
For complex concepts, the "gavagai" may be named in a Performative Act of Naming, such that "a gavagai is a gregarious burrowing plant-eating mammal, with long ears, long hind legs, and a short tail". One word is linked to other words, the linguistic is linked with the linguistic, not the world. Misunderstanding and doubt are minimised in a relatively simple process. As "a gavagai" is defined as having long ears, the statement "a gavagai has long ears" is analytic.
For simple concepts, the process is more complicated. The problem is that of linking a word to something in the world, linking the linguistic with the extra-linguistic. For example the colour "orange" is something that is orange, where one word is linked with one thing in the world
In order to explain the naming of simple concepts, I return to my diagram illustrating naming using Hume's constant conjunction of events, whereby learning a name is more an iterative process that is unlikely to be achieved at the first attempt. One needs to note that from the viewpoint of the observer, both the words and pictures are objects, things existing in the world, where the word is no less an object than the picture.
The words "nyekundu", "kijani" and "samawati" have been determined during Performative Acts of Naming either by an Institution or users of the language or a combination of both.
You asked before why the observer should necessarily link two objects that happen to be alongside each other. As the tortoise said to Achilles when playing chess, where is the rule that I have to follow the rules. Why should the observer take note of a constant conjunction of events? Because, as life has been evolving for about 3.7 billion years on Earth, taking note of a constant conjunction of events has been built into the structure of the brain as a mechanism necessary for survival, something innate and a priori.
Chomsky proposed that a person's ability to use language is innate. Taken from the
https://englopedia.com article
Innateness theory of language:
Linguistic nativism is a theory that people are born with the knowledge of a language: they acquire language not only through learning. Human language is complex and considered one of the most difficult areas of human cognition. However, despite the complexity of the language, children can accurately learn the language in a short period of time. Moreover, research has shown that language acquisition by children (including the blind and deaf) occurs at ordered developmental stages. This highlights the possibility that humans have an innate ability to acquire language. According to Noam Chomsky, “the speed and accuracy of vocabulary acquisition do not leave any real alternative to the conclusion that the child somehow possesses the concepts available before the language experience, and basically memorizes the labels for the concepts that are already part of him or her. conceptual apparatus “
In summary, first, complex concepts may be learnt as a set of simpler concepts in a Performative act of Naming, linking the linguistic to the linguistic. Second, simple concepts may be learnt by linking two objects in the world using Hume's constant conjunction of events, an innate ability having evolved over 3.7 billion years. The first object a name established during a Performative Act and the second object a picture, thereby linking the linguistic with the extralinguistic.