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OCCAM'S
RAZOR
Principle of parsimony or principle of simplicity; One should always
choose the simplest explanation of a phenomenon, the one that requires
the fewest leaps of logic, or, Given a choice between two explanations,
choose the simplest -- the explanation which requires the fewest assumptions.
This principle is important in evaluating hypothes relating to conservation
biology. It allows a logical assessment of the potential value of hypothesis
thus giving a guide to resource use. It also allows conservationists to
negate spurious speculative arguments.
The following text is quoted from the Encyclopaedia Britannica, Inc.,
1994 web site.
http://www.britannica.com
"William (of) Ockham/Occam and Ockham's
Razor
William of Ockham, also called William Ockham (Ockham also spelled "
Occam") (1285-1347/49), was a medieval monk.. (a scholastic)
Ockham's razor, also spelled "Occam's razor", but also called
"law of economy" or "law of parsimony", is a principle
stated by William of Ockham, that entities are not to be multiplied beyond
necessity (non sunt multiplicanda entia praeter necessitatem). This principle
was, in fact, invoked before Ockham by Durand de Saint-Pourcain, a French
Dominican theologian and philosopher of dubious orthodoxy, who used it
to explain that abstraction is the apprehension of some real entity. Galileo
did something similar by defending the simplest hypothesis of the heavens,
and other later scientists stated similar simplifying laws and principles.
It is called "Ockham's razor" because he mentioned the principle
so frequently and employed it so sharply. For instance, he used it
1. to dispense with relations which he held to be nothing distinct from
their foundation in things;
2. with efficient causality, which he tended to view merely as regular
succession;
3. with motion, which is merely the reappearance of a thing in a different
place;
4. with psychological powers distinct for each mode of sense;
5. and with the presence of ideas in the mind of the Creator, which are
merely the creatures themselves."
The following site offers a comprehensive outline of philosophical
concepts relating to Occam's Razor. http://pespmc1.vub.ac.be/
The following text is quoted from the above site
Principle of parsimony or principle of simplicity
F. Hetlighen, Principia Cybernetica Web, 1997.
Occam's razor is a logical principle attributed to the mediaeval philosopher
William
of Occam (or Ockham). The
principle states that one should not make more assumptions than the minimum
needed. This principle is often called the principle
of parsimony. It underlies all scientific modelling and theory
building. It admonishes us to choose from a set of otherwise equivalent
models of a given phenomenon the simplest one. In any given model, Occam's
razor helps us to "shave off" those concepts, variables or constructs
that are not really needed to explain the phenomenon. By doing that, developing
the model will become much easier, and there is less chance of introducing
inconsistencies, ambiguities and redundancies.
Though the principle may seem rather trivial, it is essential for model
building because of what is known as the "underdetermination of theories
by data". For a given set of observations or data, there is always
an infinite number of possible models explaining those same data. This
is because a model normally represents an infinite number of possible
cases, of which the observed cases are only a finite subset. The non-observed
cases are inferred by postulating general rules covering both actual and
potential observations.
For example, through two data points in a diagram you can always draw
a straight line, and induce that all further observations will lie on
that line. However, you could also draw an infinite variety of the most
complicated curves passing through those same two points, and these curves
would fit the empirical data just as well. Only Occam's razor would in
this case guide you in choosing the "straight" (i.e. linear)
relation as best candidate model. A similar reasoning can be made for
n data points lying in any kind of distribution.
Occam's razor is especially important for universal models such as the
ones developed in General
Systems Theory, mathematics or philosophy, because there the
subject domain is of an unlimited complexity.
If one starts with too complicated foundations for a theory that potentially
encompasses the universe, the chances of getting any manageable model
are very slim indeed. Moreover, the principle is sometimes the only remaining
guideline when entering domains of such a high level of abstraction that
no concrete tests or observations can decide between rival models. In
mathematical modelling of systems, the principle can be made more concrete
in the form of the principle
of uncertainty maximisation: from
your data, induce that model which minimizes the number of additional
assumptions.
This principle is part of epistemology,
and can be motivated by the requirement of maximal simplicity of cognitive
models. However, its significance might be extended to metaphysics
if it is interpreted as saying that simpler models are more likely to
be correct than complex ones, in other words, that "nature"
prefers simplicity.
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