Conceptual model based on set theory

From: vldm10 <vldm10_at_yahoo.com>
Date: Sat, 18 Jul 2015 10:50:03 -0700 (PDT)
Message-ID: <8b2f64b1-1a42-4575-ab69-1e6b7aaca0b8_at_googlegroups.com>

For each entity, from a given set of entities I will determine its conceptual schema and its schema of extension of the concept of the entity. Let E1 be an entity form a given set of entities, then its conceptual schema is

E1 (Ie, A1, A2, ..., An)                      ...    (1)

Ie is the name of the identifier of the entity. A1, ... , An are the names of properties that belong to the entity.

The schema of the extension of the concept is

E1 {Ie, A1,A2, ..., An}                      ...    (2)

The corresponding instances from (2) are:

E11 = { A11, A21, ..., An1}
E12 = { A12, A22, ..., An2}

            ...                                     (3)

E1M = {A1m, A2m, ..., Anm}
Aij are the names of the corresponding attributes. (For relationships, we can apply a similar technique.)

In this definition I use my definition of concept. My definition = Frege's definition of concept + my theory of identification of objects that are applied to concepts. I also apply here my theory of identification - several times I explained it at this user group.

Vladimir Odrljin. Received on Sat Jul 18 2015 - 19:50:03 CEST