The fundamental consideration of any domain can be (must be) resolved into exactly three concepts, each of which are primal and necessary to the very essence of that domain. This is known to be true for all domains.
These three concepts (the modalities), which form the most basic foundation and logic of that domain, have a definite and describable pattern of roles that each plays with respect to the other two, and in the domain as a whole. The basic pattern of roles is common to the foundations of all domains. The same pattern of roles between these three fundamental, necessary, and intrinsic concepts will be found as the essence of all domains.
The names given to the three roles (modalities) that domain primal concepts have with respect to one another are "the immanent", "the omniscient", and "the transcendent".
Axiom I: The immanent is more fundamental than the omniscient and/or the transcendent. The omniscient and the transcendent are conjugate.
Axiom II: A class1 of the transcendent will precede an instance2 of the immanent. A class of the immanent will precede an instance of the omniscient. A class of the omniscient will precede an instance of the transcendent.
Axiom III: The (classes/instances) of the immanent, omniscient, and transcendent are distinct, inseparable, and non-interchangeable.
In that the Axioms are statements of the relations between the modalities, the Axioms themselves are also associated (have a one-to-one correspondence) with the modalities. In this manner, the Axioms are fully self-describing.
- Axiom I has the nature of the omniscient modality.
- Axiom II has the nature of the immanent modality.
- Axiom III has the nature of the transcendent modality.
The Axioms are (and represent) the concept of pure form, without quality. The Modalities are (and ultimately represent) pure quality without form.
These concepts, taken together as different representations of the same fundamental pattern, are the basis of all considerations of the IDM metaphysics.