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Araara o — Introduction
This is an introduction to a series of expository blog posts on Araara. Araara is a personal mathematical research programme. Most of the conceptual work was done during a month-long backpacking trip to Aotearoa. It is named after the Māori name for the trevally (Pseudocaranx georgianus). Its aim is
Araara d - Alocu
Concatenation already gives us addition. With the Fraktur alphabet, we can also describe how to choose and combine two arguments. Let’s start by choosing just one. Choosing an argument The operator 𝔞 returns the first argument. The operator 𝔟 returns the second. These are the projection functions, usually written π0 and
Araara ċ· — Fraktur
This is the thirteenth in a series of expository blog posts on Araara. In the preceding post, we introduced Apar: names for variables whose interpretation depends on an ambient type. Let us now introduce another alphabet. We will use this alphabet to define operators, eventually building towards the hyperoperation sequence.
Araara ċb — Apar
This is the twelfth in a series of expository blog posts on Araara. In Alungo, we extended the numbers we can write. Now let’s give a name to a value we have not yet chosen. We will call this Apar, after the Globasa word parametre. A name that cancels