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[ontolog-forum] multidimensional surfaces

To: ontolog-forum@xxxxxxxxxxxxxxxx
From: FERENC KOVACS <f.kovacs@xxxxxxxxxxxxxx>
Date: Wed, 30 Dec 2009 04:38:37 +0000 (GMT)
Message-id: <746454.41305.qm@xxxxxxxxxxxxxxxxxxxxxxxxxxx>
Deborah MacPherson wrote to Doug Foxvog

Why talk of multi-dimensional surfaces then exclude what would make a texture like spatial extent and density pushing those surfaces around? Your example of two conceptual works having the same author, would necessarily change the dimensions and surfaces of some conceptual models."

I find existence the most generic property of physical and non physical objects.Life is about moving in space. Their spatial and temporal parameters regardless of being made explicit or not are the next most generic properties. What makes them related though is mental operations collectively called folding that change the state of the semantic primitives (ORPs) but keep them chained together as tables. So whenever you have a man-made object with a list of constituting properties, and another one with the objects that feature such properties you can invert or sort the lists to suit your searches.
But the main point is that they are connected through relations that are materialized through verbs. In this view of objects and properties for example an object is created through creation (operation called creating) and has the property of creation (created, creating), and its name (the object's name) is also creation. This self-referencing is one thing, and changing states (object becoming a property, relation, etc.) is another thing. For instance abstraction is an operation on an object to result in property. In contrast isolation is starting from property and ending in an object. Specification (concretisation) also starts from property and go to an object, while folding from individual properties to relation is formalisation, the reverse of interpretation x,y,z R (x, y,z) To classify relation you have the usual properties

a)  The number of objects that may feature a relationship may be either indefinite, or definite. b) Relationships may be point-like (zero dimension), linear and n-dimensional. c) There are internal and external relationships. On the basis of qualities you have internal relationship, on the basis of minor features you have external relationship. d) A relationship is a property. As a property it may have intensity. Not all of them have intensity, like in a relationship between a father and a son. e) There are also total and partial relationships. There are a set of relationships between two objects. If the properties that form the basis of a relationship covers all the properties of the objects in relationship, then this relationship is specific for that object. This relationship is called a total relationship. f) Relationships may have many properties. None of them will describe a relation entirely. If a property is typical of a relationship, then it is a quality of relationship. Each relation has such a quality.  g) Relationships are classified in terms of meeting the criteria of Reflexivity, Symmetry, Transitivity, Functionality, and Inversion.  h) Relationships may have two variables, three variables, etc.









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