Tuesday, August 10, 2010

Not All Properties Are Created Equal (Part I: Essentials)

Just a few years ago, I started reading “Philosophy 101” type books and I was immediately surprised at how relevant the ideas were to day to day software development.  So relevant, in fact, that an even bigger surprise is that these ideas are not part of the basic computer science curriculum, nor mentioned in technical books & magazines (with the possible exception of graduate level artificial intelligence). The following idea was the first I encountered that made it clear to me that programmers need to know what philosophers already know. It was also my first clue that philosophy has a whole body of knowledge about developing data & object models that computer science books leave up to intuition.

Did you know that 2500 years ago, philosophers like Plato and Aristotle were doing Object-Oriented Analysis and Entity-Relationship Modeling? More surprisingly, they were already more sophisticated than software developers are now!   Why?  Well, for one thing, they already understood that the properties of an object are not all created equal.  Whereas programmers today basically think that a property is a property, even ancient philosophers understood that there are several different categories of properties. And most importantly, only some properties define WHAT something is; the other properties merely describe HOW it is. Embracing this distinction will change the way you carve up the world into classes and relationships, and which attributes you assign to which entities.  I have come to feel that creating data models without this distinction is like wearing glasses so out of focus that distinct objects blur together into indistinguishable blobs. 

The properties that something must have, in order to be what it is, Philosophy calls Essential properties. Those properties that something may optionally have are called Accidental properties. For example, for you to be a human, you must have human DNA; it is an Essential property. Being named Smith, however, is an Accidental property because you would still be human even if you had a different name or even no name.  So, our everyday meaning for “essential” is different than the philosophical meaning. If a client says that the address is an essential part of the customer data, that doesn’t mean that it is Essential in the philosophical sense. In fact, it is not Essential because whatever a “customer” is, it will still be that same kind of thing even if its address changes.  The distinction between essential and accidental properties is even embedded into some human languages like Irish where there are two different “is” verbs; “Tá” is used for accidentals like “He is hungry”, but the verb they call The Copula is used for essentials like “He is Hungarian”.

A hallmark of Essential properties is that they are unchanging. An object’s Essential properties can not change without that object becoming a different kind of thing. There is an ancient philosophical paradox of how something can change and yet remain the same. You are different than you were as a child, and yet you are still the same you. As Heraclitus said, "You can’t step into the same river twice because the water is always different."  The solution the Greeks came up with was that Accidental properties may change but Essential properties must remain the same (otherwise, a metamorphosis has occurred!).  This philosophy is known as Essentialism.

Socrates taught that everything has an “essential nature” that makes it the kind of thing that it is. His pupil, Plato, taught that these essences are manifest in ideal “Forms” of which all objects are mere copies. Plato’s pupil, Aristotle, taught that Essential properties were those that defined a Form, and Accidental properties were those which distinguished one individual object from another of the same kind.  Our object-oriented programming notion of Class is analogous to Plato’s Forms. Like a Class, a Form is unchanging and it pre-exists any objects which instantiate it. Naturally, Entity tables are the database equivalent of Forms with their records being the objects.

So, what is using this idea supposed to buy me? I think a case can be made for at least the following:
  1. Better definitions of entities, classes, and relationships result because it forces you to weed out all the non-essentials (pun intended). By striving to understand entity essentials, and not just normalizing data tuples, you will be more likely to accurately model the world.
  2. Better specifications result because there will now be a place to put all those unwritten (even unspoken) assumptions about the nature of the problem domain. Ironically, when gathering requirements and doing analysis, the essential properties of things are often given short shrift  because they mostly don't get stored in databases, because.…that's right, they don't change!  It is the changeable accidental properties that get stored, with the unchanging essential properties getting buried as hardwired assumptions in the programming logic.
  3. Better system interoperability results because universal essential data is separated from local accidental data. The integration of data between a customer system and a patient system and an employee system would be much easier if they had modeled the essential entity, which is Person. When customer and patient and employee are recognized as merely accidental roles of a Person, there is an immediate common entity type to synchronize on rather than widely divergent data tables.
  4. Better identity systems result because life-long identifiers will no longer be confused with changeable properties like names, addresses, and phone numbers.
Examples of using Essentialism
  • Imagine a Person table where we already understand that using the Name column as the primary key is a bad idea, simply because names are not unique.  Some are tempted to create a compound key using name plus some other column(s) like address, phone, etc.  With an Essentialism perspective it is clear that, while the compound key may be unique for the moment, it is composed of accidental properties and hence can change at any time!  Stored references to previous keys will fail. Current keys won’t match future keys.



    We want keys using essential attributes that remains fixed for the life-time of the Person. A unique, fixed, objective, essential attribute like the person’s complete DNA sequence would do the trick! However, a government issued tax ID like SSN can be a practical substitute, plus it’s better than a proprietary “customer ID” because it is something that is effectively universal, and therefore can be used to integrate databases from multiple sources.

    Lest you think this example is contrived, I witnessed a Top-5-in-the-USA bank design a customer identity system using a key composed of accidental properties rather than SSN because “we have not traditionally collected SSNs” (despite government “know your customer” security laws requiring it!)  They had to continually fix their ever-changing data because they only focused on having a “unique key”.

  • In tutorials for any technology that uses entities, the example of a “customer” entity is almost cliche. The design of databases, XML schemas, UML diagrams, SOAP messages, Java Classes, etc, etc, have all used it.  But when we ponder the essential nature of a “customer”, there is an immediate problem…



    Philosophers have devised many systems for organizing “what exists”, and one of the first of their “20 questions” is: Is its essence physical or abstract? Customers can either be a person (a physical thing that exists in time and space), or a corporation (an abstract thing that doesn't exist in space), so, which is it?  This is our clue that it isn’t an entity at all.  With some thought (and benefit of reading more philosophy), it becomes clear that “customer” is really just a role that different entities can play.  It is part of the relationship between that entity acting as customer, client, buyer and that entity acting as vendor, seller, provider.
Whatever interpretation you would give about the essential-ness of this or that property, the main point is that it is worth knowing that there IS a distinction. And more generally, Philosophy has some ideas to which we programmers need to be exposed.

Sunday, August 8, 2010

Neural Nets, Vagueness, and Mob Behavior

In response to the following question on a philosophy discussion board, I replied with the short essay below and reproduce it here.
"It was then that it became apparent to me that these dilemmas – and indeed, many others – are manifestations of a more general problem that affects certain kinds of decision-making. They are all instances of the so-called ‘Sorites’ problem, or ‘the problem of the heap’. The problem is this: if you have a heap of pebbles, and you start removing pebbles one at a time, exactly at what point does the heap cease to be a heap?"
VAGUE CONCEPTS
This leads to the entire philosophy of "vagueness". i.e. are there yes/no questions that don't have a yes/no answer? Are some things like baldness vague in essence, or, is our knowledge merely incomplete? e.g. we don't know the exact number of hairs on your head, and/or, we don't know/agree on the exact number of hairs that constitutes the "bald" / "not bald" boundary?

NEURAL NETS
My personal conclusion is that there ARE many vague concepts that we have created that are tied to the way our brains learn patterns (and, as a side effect, how we put things into categories). In contrast to rational thought (i.e. being able to demonstrate logically step by step our conclusions), we "perceive" (ala Locke/Hume/Kant) many things without being able to really explain how we did it.

In Artificial Intelligence, there are "neural network" computer programs that simulate this brain-neuron style of learning. They are the programs that learn how to recognize all different variations of a hand-written letter "A" for example. They do not accumulate a list of shapes that are definitely (or are definitely not) an "A", but rather develop a "feel" for "A"-ness with very vague boundaries. They (like our brains) grade a letter as being more or less A-like. It turns out that this technique works much better than attempting to make rational true/false rules to decide. This is the situation that motivates "fuzzy logic" where instead of just true or false answers (encoded as 1 or 0), one can have any number in-between, e.g. 0.38742 (i.e. 38.7% likely to be true).

WISDOM OF THE CROWD?
Because each person has their own individually-trained "neural net" for a particular perception (e.g. baldness, redness, how many beans are in that jar?), we each come up with a different answer when asked about it. However, the answers do cluster (in a bell-curve-like fashion) around the correct answer for things like "how many beans".  This is what led Galton to originally think that there was "wisdom in the crowd".   This idea has been hailed as one of the inspirations for the new World Wide Web (aka Web 2.0). The old idea was that McDonalds should ask you if "you want fries with that?" to spur sales. The new Web 2.0 idea is that Amazon should ask you if you want this OTHER book based on what other people bought when they bought the book you are about to buy. I.E. the crowd of Amazon customers know what to ask you better than Amazon itself.

The problem is that there are many failures of "crowd wisdom" (as mentioned in that Wikipedia page in the link above). My conclusion is that most people advocating crowd wisdom have not realized that it is limited to "perceptions". Many Web 2.0 sites are asking the crowd instead about rational judgments, expecting them to come up with a better answer than individuals. The idea of democracy (i.e. giving you the right to vote) has been confused with voting guaranteeing the best answer, no matter the question. In fact, Kierkegaard wrote "Against The Crowd" almost 200 years ago where he recognized that individuals act like witnesses to an event, whereas people speaking to (or as a part of) a crowd, speak what we would now call "bullshit" because they are self-consciously part of a crowd. We can see this in the different results of an election primary (a collection of individuals in private voting booths) versus Caucuses where people vote in front of each other.So, Web 2.0 sites (Facebook, MySpace, blog Tag Clouds, etc) that allow people to see the effect on other people of what they are saying, are chronicling mob mentality rather than collecting reliable witness reports.

BTW, I have written several blog posts related to vagueness, for example:
http://existentialprogramming.blogspot.com/2010/03/model-entities-not-just-their-parts.html





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