We are proposing that all abstract objects can ideally should be constructed following the basic common method of synthetic dimensions. This is a synthetic/constructed method that serves the agenda of system-wide consistency at what appears to be "the highest level." Construction of abstractions from one primitive element The simplest mathematics

Construction of abstractions from one primitive element Sketch | Back We want to build objects out of one primitive What is that one primitive? Is it a simple object? a difference? a distinction? a value? an interval? what is an abstract object? what is a dimension? why is this an advantageous thing to do? all concepts emerge from the continuum and are constructed from the continuum from atonic-level distinctions or dimensions how is a distinction a dimension? distinctions are built from differences differences in color or shape or basic sensory dimensions what is the continuum? how does a distinction emerge from the continuum? how is that distinction coded - symbolically or in memory or in visualization? **** In particular, as an interesting and possibly fruitful example, we want to look at Barry Smith's concept of Object property A generalization of the concept of "property" -- "property of an object" or -- how two objects in the class hierarchy are related to each oother those choices are attaches_to bounds branch_of constitutional_part_of part_of regional_part_of systemic_part_of http://www.ontobee.org/ontology/catalog/FMA?iri=http://www.w3.org/2002/07/owl%23ObjectProperty So, the investigation is 1) can we construct all objects that are going to be linked to the objects we discuss in terms of dimensions? 2) can these general object properties be defined in terms of dimensions? Mon, May 10, 2021

The simplest mathematics Sketch | Back This project is driven by an instinct for minimal complexity and the simplest possible way to construct mathematical and symbolic forms Construct everything from the same basic framework Sun, May 9, 2021