Comment by johnmwilkinson
Comment by johnmwilkinson 2 days ago
Computer Science stole the term abstraction from the field of Mathematics. I think mathematics can be really helpful in clearing things up here.
A really simple abstraction in mathematics is that of numeric basis (e.g. base 10) for representing numbers. Being able to use the symbol 3 is much more useful than needing to write III. Of course, numbers themselves are an abstraction- perhaps you and I can reason about 3 and 7 and 10,000 in a vacuum, but young children or people who have never been exposed to numbers without units struggle to understand. Seven… what? Dogs? Bottles? Days? Numbers are an abstraction, and Arabic digits are a particular abstraction on top of that.
Without that abstraction, we would have insufficient tools to do more complex things such as, say, subtract 1 from 1,000,000,000. This is a problem that most 12 year olds can solve, but the greatest mathematicians of the Roman empire could not, because they did not have the right abstractions.
So if there are abstractions that enable us to solve problems that were formerly impossible, this means there is something more going on than “hiding information”. In fact, this is what Dijkstra (a mathematician by training) meant when he said:
The purpose of abstraction is not to be vague, but to create a new semantic level in which one can be absolutely precise
When I use open(2), it’s because I’m operating at the semantic level of files. It’s not sensible to think of a “file” at a lower level: would it be on disk? In memory? What about socket files? But a “file” isn’t a real thing, it’s an abstraction created by the OS. We can operate on files, these made up things, and we can compose operations together in complex, useful ways. The idea of a file opens new possibilities for things we can do with computers.
I hope that explanation helps!
Expanding on this regarding the difference between abstraction vs encapsulation: abstraction is about the distillation of useful concepts while encapsulation is a specific tactic used to accomplish a behavior.
To continue with the idea of numbers, let’s say you asked someone to add 3 and 5. Is that encapsulation? What information are you hiding? You are not asking them to add coins or meters or reindeer. 3 and 5 are values independent of any underlying information. The numbers aren’t encapsulating anything.
Encapsulation is different. When you operate a motor vehicle, you concern yourself with the controls presented. This allows you, as the operator, to only need a tiny amount of knowledge to interact with an incredibly complex machine. This details have been encapsulated. There may be particular abstraction present, such as the notion of steering, acceleration, and breaking, but the way you interact with these will differ from vehicle to vehicle. Additionally, encapsulation is not concerned with the idea of steering, it is concerned with how to present steering in this specific case.
The two ideas are connected because using an abstraction in software often involves encapsulation. But they should not be conflated, out the likely result is bad abstractions and unwieldy encapsulation.