The Spectrum of Discernment
Arithmoi has the most complete spectrum of discernment and application field compossible as we are explaining and giving a framework for both the noumenal side and phenomenal side of existence, as per the Arithmoi Universal Principle (paraphrasing): "As form expands, anti-form contracts, and vice versa."
As we are relaying deep mathematical connections between the extensible and non-extensible domains, we use words to describe mathematical objects. In the ontological mathematics literature, it has been fondly called frequency and spacetime domains, as per the mathematics of the great Joseph Fourier.
In medicine and for those papers, we can call it mind-body, as we have the known phrase even among scientists: "mind over body". As it is seen by scientists now, is that the mind is nothing but a placebo effect, where it has no clear ontology, nor direction or application. The Arithmoi mathematical method of inquiries can allow one to understand the placebo effect and other such extra-sensorial activities within distinct and clear-headed understanding of the dual-nature of existence: noumenal and phenomenal.
As part of the human specie, and imbued with innate reason, we say and declare "mind over matter, mind over body", when we want to heal with intent. Cultures from all around the world have been using such notion to heal. We can bring this forward now with a rational and scientific perspective, by embracing the mathematics of forms and anti-forms. There is no need for a black box full of non-explication and randomness, to explain the placebo effect. We can simply understand the dual-nature of existence as of mind and body (i.e. frequency and spacetime domains).
They are forces at play, and they all balance out to zero. What we can do is ponder, explore and find those mathematical immutable truths, and use those a priori truths to explain the whole range of experience: from the mind and the body, from the inside to the outside. We can direct a new medicine based on universal mathematical laws and patterns to govern practioners and patients alike, allowing them to judge by themselves, to the best of their reason and logic, with mathematical tools accessing within the physical (body) and beyond (mind).
It pertains that Arithmoi can serve as a basic mathematical and first principle guide to understand, assess and act on bodily events, i.e. phenomenological events.
In the case of the placebo effect, to continue the example, we explain mathematically with the Arithmoi first principles how it can be done, and we can measure it with intent.