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The smallest basic object is the digital object.
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The priority monist will hold that the one basic concrete object is the world (the maximal concrete whole).
For Ayers, on the other hand the notion of a coherent, unified body or material object is the basic notion for individuating objects and is presupposed by sortal concepts.
This is part of the research area of automated reasoning see Chou et al. (1994) for a nice introduction — and its basic objects are proofs, not necessarily the mathematical objects the proofs are about.
Hudson and Parthasarathy [1] have developed a quantum Itō calculus where the basic objects are integrals of adapted processes with respect to the fundamental processes (Lambda^{alphabeta}).
Wiles' proof of his modularity lifting theorems is a perfect illustration of p-adic techniques in number theory where the basic objects are deformation of Galois representations, congruences between modular forms, and their deep connections with special values of L-functions.
The result is achieved by the introduction of a new non standard model of Gödel's T, whose new basic objects are pairs of non standard natural numbers (convergent sequences of natural numbers) and moduli of convergence, where the latter are objects giving constructive information about the former.
To achieve this, the basic sm object is located in the sm package and acts to load and store a STXM image and stores the energy of the image or the minimum and maximum energy if those are different from one another.
Objects are the most basic form of property, so our physical interactions with owned objects may elucidate nuanced aspects of ownership.
The basic premise of Minimalism was that the object was an end in itself, and the object-as-object was the goal.
A great method is to imagine the basic shapes the object is made of.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com