CATEGORIES AND SETS
JUD EVANS
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Copyright © 2007 Jud Evans. Permission granted
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or non-commercial, provided author attribution
and copyright notices remain intact.
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For me it is not a question of what we can
speak about. There are no restrictions as
far as I am concerned about that which can
be spoken about and what cannot be spoken
about. Language is a constantly evolving
medium of informational exchange, or better
put, humans are constantly evolving in such
a manner that new forms of useful abstraction
are constantly generated and introduced either
for the betterment and clarity of communication
or for the twisting and misrepresentation
of information flowing from a desire to mislead
or dominate.
When I raise the question of what exists
and what doesn't, people rightly point out
that the use of abstraction "allows
us to speak about certain things," or
"they nevertheless describe something
genuine about the world." Well I am
aware of that and agree with them, and as
a user of abstraction over a lifetime, and
as a lover of poetry, which relies heavily
upon abstraction, I have delighted in its
use and still do - but this is not the main
focus of my interest regarding ontology.
My point is that sets may well allow us to
describe something genuine [something that
accords with the facts] about the behaviour
or the existential characteristics manifested
by certain entities in the world such as
cats, but it is the entities so described
that actually exist, and not the body of
information or the modus operandi of categorisation
or presentation itself [the use of sets and
what they reveal] that exists. The information
contained in the sets are human ideas which
are retailed from one human brain to another
- the jug in the left-hand cupboard in Heidegger's
kitchen actually exists - the cat asleep
on the chair as I type actually exists.
thus I differentiate between:
(a) singular names, which are used as grammatical
subjects and refer to individuals or things
("Tony Blair", "London");
(b) general names of people or things ("Englishmen",
"cats") that can only be subjects
in universal propositions of the type "every
A is B" or predicates (in universal
and singular propositions); and finally
(c) empty names ("Popeye", "Minotaur")
that denote nothing and cannot be the subject
of any true proposition, singular or general,
but which by definition can be appropriately
reduced to a combination of singular and/or
universal terms that are the names of people
or things, so as to obtain an expression
that is synonymous with the empty name.
My interest remains in what physically exists
as opposed to what doesn't exist. I consider
a re-evaluation of the implications of abstraction
to be vitally important as far as the very
continuance of long-term human life on this
planet is concerned. The dangers, which face
us from the confrontation between the two
opposing transcendentalist abstractionist
ideologies, are enormous and frightening.
The societies of East and West continue to
churn out young people habituated to ideas
of "higher dimensions" of abstract
notions of "spiritual beings" and
"heavenly realms" where the faithful
will be transported when their life here
on earth ends. The subtler everyday use of
abstraction is insidious - it is a creeping
communicational cancer, which is as much
capable of concealment and obfuscation as
it is useful for enlightenment and revelation.
The everydayness of abstraction [like the
word 'everydayness' that I have just used]
provides a pernicious reinforcement and underpinning
to the more horrific manifestations of abstraction.
It is to be found in the vocabularies of
politicians, lawyers, criminals, philosophers
manqué, huckster salesmen, psychologists,
ascending in a scale of malefic abstractionist
awfulness right up to the malefactors in
the White House, Downing Street and the world-wide
vile dens of political and religious terrorist
conspirators. I know that the abstractional
nouns and adjectives which refer to items
that don't exist are valuable [nay, invaluable]
for human description and ease of communication,
but they are also the most divisive and dangerous
components of language. Why? Because the
very abstraction, which provides us with
the opportunity and ability to convey delicate
nuances of communicative meaning, has a diametric,
antagonistic aspect, and that dark issue
is transcendentalism.
Now when I use the term transcendentalism
I refer not just to its more obvious and
ugly manifestations of religion, extreme
right or left-wing political theory, superstition,
the belief in abduction by aliens, weirdo
philosophical cults, astrology, spiritualism,
but also to the more commonly believed hypostatisation
that the designata of abstract nouns like
love, hate, freedom, courage, time, old-age,
youth, wealth, backwardness, intelligence,
stupidity etc., actually exist. People speak
of "finding" love or "escaping"
from unhappiness as if those conditions existed
in some way separately from the humans who
experience such positive or negatively transacted
responses to others.
I ask simply this - is the toll in human
lives and misery that the negative aspect
of abstractionism engenders worth it? Would
we not be better informing our schoolchildren,
[perhaps during their language or sociology
lessons] that whilst the use of abstractions
is an essential part of being human, we should
see them for what they are - as essential
tools, verbal shortcuts, periphrastic avoidance
strategies, to aid human intercourse, and
that we should not be lulled into a false
sense that these human ideas of descriptive
summation [the engrossment of complicated
concepts in a few simple abstractions]
Many people assume that there is a template
[form] somewhere for a cat. Many people automatically
assume that cats exist, [it rolls off the
tongue] when the truth of the matter is that
only each individual cat in the world exists.
Now here I am not addressing the fact that
the use of the signification "cats"
allows us to address the idea of all those
creatures on earth that fall into the category
of membership of the cat family, I am only
concerned with what exists and what does
not exist. The convenience of abstractions
- the freedom that abstractions give us -
the release from tedious circumlocution is
not at issue here, what is being focussed
upon is the ontological imprecision, the
lack of clarity which flows from such expressions,
and whilst not seeming very important in
the greater scheme of things, in fact is
part of the wider transcendentalist entablature
which makes possible an raft foundation upon
which greater more dangerous transcendentalist
evils can be constructed and maintained.
When we speak of our house we are either
referring to an actual physical shell object
or the same shell containing a lot of other
physical objects. The house, the objects
within can all be felt, smelt, tasted and
in some cases heard. The "set"
though doesn't exist, for it is just an idea
in our brains concerning the way we detect
a certain relationship between the objects
which can be named: "Objects belonging
to Martin Heidegger," or "Objects
which are usually to be found in the house
of Martin Heidegger." The set itself
doesn't exist, and you would find it impossible
to show me such a set, you would be forced
to show me the actual physical objects.
From the point of view of a chair that has
no point of view it does not have a spatial
position. Anything that we say about the
world represents our human view of the world
and the disposition of the objects that we
sense in the world. In the context of addressing
those objects which are contained within
the walls of Heidegger's house we are imposing
certain qualifications all other objects
of which we are aware and objects of which
we are unaware, and that is that in order
to be classified as being members of the
non-existent "set" of objects within
Heidegger's house, they need to be physically
contained inside Heidegger's house.
I attempt to get around by a simple device,
that nobody can argue with [leastwise, I
have never encountered anyone on the net
yet who has] and that is to frame the question
or statement differently. I prefer to say
things like: "That which exists"
or "each cat that exists" or "each
item in Heidegger's house," etc. I find
that it let's me off the ontological hook
so to speak, for it absolves me from enumerating
or identifying every cat in the world and
every book, cap and swastika armband in Heidegger's
house. To use phrases like that does remove
to an extent the more sweeping obligation
of identification regarding all the cats
in the world, whose existence cannot be verified.
As for numbers I agree. I believe that all
numbers or the notion of number is reducible
to objects, and that the idea of number was
a convenience, which originated in the need
to divide and subtract and add objects. I
was helping my young son [6] with his homework
yesterday evening when there was a particular
fact he couldn't grasp. In the end I pinched
my other son's bag in which he keeps his
collection of stones and physically counted
out stones to Connor - then subtracting and
adding some etc. I believe that we grow to
maturity with this object-relational concept
in mind to a great extent, even though at
a higher level of advanced math the concept
of object totally disappears, the mathematician
who calls in Wal-Mart on his way home soon
reverts to the object - number mode when
choosing his best buys from the shelves.
I am in total sympathy and agreement as to
the efficacious use of the notion of sets
such as "cats" regarding how we
identify certain mutual characteristics of
each cat that exists. This is not however
the main point of interest to me. I am more
interested if the set ITSELF exists, and
not so much what useful information the device
of the construction of such a notion as a
set or category can provide for our benefit.
The set of all cats certainly has something
to do with the real world in the sense that
people employ the notion of sets as handy
cognitive constructions for understanding
the nature of cats or the nature of the appurtenances
in the owner's house. The Darwinian classification
of various flora and fauna was essential
for making sense of evolution and change
in living things, but for all that, his classifications
don't exist - only the individuate entities
that existed or had existed were real when
he compiled his great work. It is not the
set of cats that exists nor the compilation
of the objects in Richard's house that exists
- it is those cats that actually exist in
the world and those items that actually exist
in the owner's house.
My focus remains more upon that which exists
rather than in a classification of how it
exists and if it exists in similar or dissimilar
way to other unspecified objects looked at
statistically.
I completely agree about the invaluable importance
of abstraction in matters of the description
of the way objects exist and how we would
be at a loss without it. We are not at odds
on this question at all. That does not however
in my opinion remove the importance of an
investigation into what actually exists as
real physical objects and that which has
been introduced initially in order to help
describe objects and then itself becomes
falsely reified and objectified and thus
becomes in itself detrimental to a clear
ontological understanding of ourselves, others,
and the objects with which we share the world.
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