Speakpigeon
Valued Senior Member
We use abstractions to think about the world.
Specifically, an abstraction is meant to refer to some part of the world. There are different levels of abstraction because we can use an abstraction to refer to the part of the world already referred to by different abstractions we have already in mind. Thus, we have levels of abstractions, from the low levels to the higher levels. Abstractions on a higher level refers to a larger part of the world than each of the abstractions on the level below that they are an abstraction of.
We can analyse the world from different and a priori independent angles. However, for each particular angle, abstractions form a well-ordered structure, such that a lower-level abstraction always corresponds to only one of the higher-level abstractions at each higher level of abstraction. In other words, the part of the world referred to by the lower-level abstraction is never referred to by two different abstractions at any of the higher levels of abstraction.
Broadly, we have more general abstractions to refer to larger parts of the world.
It appears that the human brain is remarkably nimble playing that game. Each of us has our own privateabstract representation, and therefore our own private collection of abstractions. We need these abstractions both for thinking about the world in the privacy of our mind, and for communicating with other human beings, which explain to a large extent the difficulty we have in understanding each other.
Shared culture, education, dogma and profession all help greatly in simplifying communication, but even when they share all of these, different people will still differ somewhat in how they abstract at least some part of the world.
This makes communication inevitably more difficult but is also essential for conceptual progress, whereby the abstract model of one individual may gradually spread to a group of people and from there possibly to the rest of society, and even to humanity as whole.
The brain is clearly very efficient in this respect. The need is to be able to define any number of well-ordered abstractions from bottom to top, starting life as a new-born with only the bottom level, our inchoate perceptions, only gradually increasing over the years the sophistication of our model of the world, through both private thinking, communication with other human beings, and also probably through the unconscious work of our brain.
The word "thing" in English has come to be used to refer to our highest-level abstraction. However, while anything all will be a thing, we only use the word "thing" to simplify communication, not to think about the world. Most of the things we can think of have no relation we could think of. Both justice and redness are things, yet we don't normally think of these two things as having any kind of relation.
The highest-level abstraction which has definite relations and to all other abstractions is reality. Reality for a new-born can only refer to the bottom level, i.e. their immediate and largely inchoate perception of the world. Life thus can be resumed as the building up of an intermediary and ever more complex structure of abstractions coming in between the bottom of our immediate perception of the world and reality as an abstraction in our mind.
From a topological point of view, then, yes, like an infinite past with a beginning, there is a limit to abstraction and no there isn't.
Reality is the highest abstraction we know of, and thus it is the upward limit to abstraction. However, it is just as true that there is no theoretical limit to the number of intermediary levels of abstractions that we can insert in between perception and reality. There is a practical limit which is of course the size of our brain and the little time we have available to think up with new abstractions.
Obviously, we all will have our own private and therefore particular abstract model of the world, and thus for each of us, at any given time, we will only have a finite number of levels of abstractions.
Another crucial limiting factor is the fact that, for fairly obvious practical reasons, we have to borrow a large part of our abstract model of the world, and this essentially through culture, education, work activity or dogma.
Most people won't waste their time building for themselves more abstraction levels. They will take for granted whatever they will be able to get from other people and be content with that. However, some people, broadly "thinkers", will apparently choose to spend a large part of the time available to them during their lives doing essentially that. For example, some philosophers, some scientists, some religious thinkers, and probably many more outside these categories.
However, broadly speaking, humanity as a whole seems to evolve--perhaps more quickly now due to the apparition of mass media, mass tourism, immigration, free trade, science, and the Internet--towards a common abstract model of the world with a particular number of abstraction levels, thus possibly giving the impression to many people that the number of levels is limited not only in practice but also in theory.
But no. You do as you please.
EB
Specifically, an abstraction is meant to refer to some part of the world. There are different levels of abstraction because we can use an abstraction to refer to the part of the world already referred to by different abstractions we have already in mind. Thus, we have levels of abstractions, from the low levels to the higher levels. Abstractions on a higher level refers to a larger part of the world than each of the abstractions on the level below that they are an abstraction of.
We can analyse the world from different and a priori independent angles. However, for each particular angle, abstractions form a well-ordered structure, such that a lower-level abstraction always corresponds to only one of the higher-level abstractions at each higher level of abstraction. In other words, the part of the world referred to by the lower-level abstraction is never referred to by two different abstractions at any of the higher levels of abstraction.
Broadly, we have more general abstractions to refer to larger parts of the world.
It appears that the human brain is remarkably nimble playing that game. Each of us has our own privateabstract representation, and therefore our own private collection of abstractions. We need these abstractions both for thinking about the world in the privacy of our mind, and for communicating with other human beings, which explain to a large extent the difficulty we have in understanding each other.
Shared culture, education, dogma and profession all help greatly in simplifying communication, but even when they share all of these, different people will still differ somewhat in how they abstract at least some part of the world.
This makes communication inevitably more difficult but is also essential for conceptual progress, whereby the abstract model of one individual may gradually spread to a group of people and from there possibly to the rest of society, and even to humanity as whole.
The brain is clearly very efficient in this respect. The need is to be able to define any number of well-ordered abstractions from bottom to top, starting life as a new-born with only the bottom level, our inchoate perceptions, only gradually increasing over the years the sophistication of our model of the world, through both private thinking, communication with other human beings, and also probably through the unconscious work of our brain.
The word "thing" in English has come to be used to refer to our highest-level abstraction. However, while anything all will be a thing, we only use the word "thing" to simplify communication, not to think about the world. Most of the things we can think of have no relation we could think of. Both justice and redness are things, yet we don't normally think of these two things as having any kind of relation.
The highest-level abstraction which has definite relations and to all other abstractions is reality. Reality for a new-born can only refer to the bottom level, i.e. their immediate and largely inchoate perception of the world. Life thus can be resumed as the building up of an intermediary and ever more complex structure of abstractions coming in between the bottom of our immediate perception of the world and reality as an abstraction in our mind.
From a topological point of view, then, yes, like an infinite past with a beginning, there is a limit to abstraction and no there isn't.
Reality is the highest abstraction we know of, and thus it is the upward limit to abstraction. However, it is just as true that there is no theoretical limit to the number of intermediary levels of abstractions that we can insert in between perception and reality. There is a practical limit which is of course the size of our brain and the little time we have available to think up with new abstractions.
Obviously, we all will have our own private and therefore particular abstract model of the world, and thus for each of us, at any given time, we will only have a finite number of levels of abstractions.
Another crucial limiting factor is the fact that, for fairly obvious practical reasons, we have to borrow a large part of our abstract model of the world, and this essentially through culture, education, work activity or dogma.
Most people won't waste their time building for themselves more abstraction levels. They will take for granted whatever they will be able to get from other people and be content with that. However, some people, broadly "thinkers", will apparently choose to spend a large part of the time available to them during their lives doing essentially that. For example, some philosophers, some scientists, some religious thinkers, and probably many more outside these categories.
However, broadly speaking, humanity as a whole seems to evolve--perhaps more quickly now due to the apparition of mass media, mass tourism, immigration, free trade, science, and the Internet--towards a common abstract model of the world with a particular number of abstraction levels, thus possibly giving the impression to many people that the number of levels is limited not only in practice but also in theory.
But no. You do as you please.
EB
