“Ok, now that we have those two (Parts 3 and 4 of your series) 'on the table' so to speak, perhaps you would address these questions...

1. Would it be safe to say that facts expressed in a Conceptual model should be verifiable in reality?

2. Are the following facts logically equivalent or are they different:

a) The car with license number 62-JZK-6 has the color aquamarine blue
b) De auto met kenteken 62-JZK-6 heeft de kleur aquamarijnblauw

3. If a previously true fact is found in reality to be verifiably false, would that mean the Conceptual model is wrong or the Logical model, or reality?”

“I'm going to add another:

4. How does RDM handle temporal changes to the 'truth' of statement 2a) when:

a) The owner of the car paints it black.
b) The owner of the license plate legally transfers it to a truck.
c) The owner of the car replaces every single part except the chassis.”

• Only the RDM satisfies the definition;
• The E/RM can be used at the conceptual level to model reality, the latter can be used to model data at the logical level (i.e., formalize conceptual models as logical models for database representation).

• Understanding Conceptual vs. Data Modeling Part 1: The E/RM and the RDM.
• Understanding Conceptual vs. Data Modeling Part 2: The E/RM Models Reality, the RDM Models Data.

• Understanding Conceptual vs. Data Modeling Part 3: Don't Conflate Reality and Data.
• Understanding Conceptual vs. Data Modeling Part 4: Property-Entity Modeling.

“The E/RM is not a data model as formally defined by Codd: no explicit structural component except sets classified in various ways, no explicit manipulative component except implied set operations, and very limited integrity (keys).”

--David McGoveran

“[It] is not even clear that the E/R "model" is truly a data model at all, at least in the sense in which we have been using that term in this book so far (i.e., as a formal system involving structural, integrity, and manipulative aspects). Certainly the term "E/R modeling" is usually taken to mean the process of deciding the structure (only) of the database, although [it does deal with] certain integrity aspects also, mostly having to do with keys ... However, a charitable reading of [Chen's original E/RM paper] would suggest that the E/R model is indeed a data model, but one that is essentially just a thin layer on top of the relational model (it is certainly not a candidate for replacing the relational model, as some have suggested).”[2]

“What is the difference between an index and a key? How are they related?”

“There seams to be some confusion between what a Primary Key is, and what an Index is and how they are used. The Primary Key is a logical object. By that I mean that is simply defines a set of properties on one column or a set of columns to require that the columns which make up the primary key are unique and that none of them are null. Because they are unique and not null, these values (or value if your primary key is a single column) can then be used to identify a single row in the table every time. In most if not all database platforms the Primary Key will have an index created on it. An index on the other hand doesn’t define uniqueness. An index is used to more quickly find rows in the table based on the values which are part of the index. When you create an index within the database, you are creating a physical object which is being saved to disk.”

“A primary key by default creates a clustered index. A unique constraint/key by default creates a non-clustered index.”

“An index is a (logically) ordered list of rows. For example, an index on LastName means all values are already sorted in LastName order. Usually index rows contain far fewer columns in them than the table itself (except the clustered index, which is the table). A key is a column or columns that defines the order of an index. For example, on an index ordered by (LastName,FirstName), then LastName and FirstName are the keys. Btw, a primary key is a physical object, not a logical one. The db engine needs physical rows in order to insure unique values in the index.”

--Difference between an index and a key?, SQLTeam.com

"As a relational feature, keys can only be properly understood within the formal foundation of the RDM, which is simple set theory (SST) expressible in first order predicate logic (FOPL) adapted and applied to database management. Yet that is precisely what is ignored and dismissed in the industry -- including by the authors of SQL[3]."