System environment conjecture

01/06/2016 Antoni Elias Fusté
2015 September
SYSTEM VS. ENVIRONMENT, A MATH CONJECTURE
THAT CAN HELP CREATIVE DESIGNERS
SYSTEM VS. ENVIRONMENT,
A MATH CONJECTURE THAT
CAN HELP
CREATIVE DESIGNERS
Antoni Elias Fusté

2015 September
ENVIRONMENT
SYSTEM
OBSERVER
• A known physical principle tells us that
the act of measuring a system
represents an alteration of it.
• The fact of designing a system involves
the transformation of a designer’s
mental model into something tangible
external to it.
• The observation of a problem with the
aim of solving it, involves the
assimilation of the problem to a mental
model of the solver.
• The Observer (designer or solver) is
part of the environment, but he is also a
part of the problem to be solved or
system design.

2015 September
WHAT IS REALLY THE
SYSTEM ENVIRONMENT ?
Everything that is not part of the system
belongs to the environment
Thus, SYSTEM ENVIRONMENT, or System Context, it may
encompasses:
- Space Environment
- Temporary Environment
- Social Environment
- OBSERVER (System Designer or Problem Solver)
Cognitive Environment.
- …

2015 September
A glass of water has more or less value
according to the its space environment
SPACE ENVIRONMENT

2015 September
"640K ought
to be enough
for anybody."
Bill Gates,
1981
TEMPORARY ENVIRONMENT

2015 September
6
Letter telling to Albert Einstein that he is
not eligible as associate professor at the
Sciences Faculty of Bern (Switzerland).
Probably it is false because it is strange
that in 1907 the Bern University used the
English language.
TEMPORARY
ENVIRONMENT

2015 September
SOCIAL ENVIRONMENT
Social and cultural environments
Ali Zulfiqar
http://www.slideshare.net/alizulfiqar6061/social-and-cultural-
environments?related=2
Social and cultural Environment - International Business.
Manu Melwin Joy
http://www.slideshare.net/manumelwin/social-and-cultural-
environment-international-business
http://istop.net.au/social-environment/
http://www.123rf.com/photo_16578547_abstract-word-cloud-for-
social-environment-with-related-tags-and-terms.html

2015 September
8
A good Colgate
advertisement ad
highlights priorities
when it comes to our
attention
Look at these pictures
Social
Environment.
Usages &
Habits

2015 September
9
Surely you have
seen the stain on
men teeth
But …
Social
Environment.
Usages &
Habits

2015 September
10
Did you noticed that ...
This hand has
six fingers ?
who owns this
shoulder hand ?
Social
Environment.
Usages &
Habits

2015 September
IMPORTANCE OF THE ENVIRONMENT
11
The ENVIRONMENT is as important as the system designing,
or the problem to solve, because it helps the OBSERVER
(designer or solver) to understand fully the problem to be
solved or the functions and features we expect from the
system design:
• To full appreciate the creative challenge, problem
understanding or system design.
• To good information research and its comprehension.
• To be aware of the distortions produced by the
OBSERVER perception.
See:
http://www.slideshare.net/eliasfuste1/considerations-to-find-creative-designs-solutions

2015 September
What is the opposite of
SWEET ? To
understand
the creative
challenge
(problem or
design)

2015 September
SALTY
if we
talk
about
food
To
understand
the creative
challenge
(problem or
design)

2015 September
If we talk about the sense of taste
BITTER To
understand
the creative
challenge
(problem or
design)

2015 September
If we talk about
drinks and
beverages
DRY
To
understand
the creative
challenge
(problem or
design)

2015 September
In terms of
personal
behavior
WILD
To
understand
the creative
challenge
(problem or
design)

2015 September
17
OBSERVER COGNITIVE ENVIRONMENT.
PERCEPTION
There is not
an air floating
boy, is a boy
standing up
near an oil
stain
From Mighty Optical Illusions.
http://www.moillusions.com/

2015 September
These three bars has the same gray tone
PERCEPTION.
OBSERVER
COGNITIVE
ENVIRONMENT

2015 September
19
Could You still ensuring that the three
bars has the same gray tone?
PERCEPTION.
OBSERVER
COGNITIVE
ENVIRONMENT

2015 September
20
This wall has a
foreign object,
although it is
hard to see at
first sight, when
you see it you
can not stop
seeing
PERCEPTION.
OBSERVER
COGNITIVE
ENVIRONMENT

2015 September
Indeed,
it is a
CIGAR
PERCEPTION.
OBSERVER
COGNITIVE
ENVIRONMENT

2015 September
Despite its
appearance,
the two blue
vertical bars
have the same
height
PERCEPTION.
OBSERVER
COGNITIVE
ENVIRONMENT

2015 September
SOMETIMES THE ENVIRONMENT HELPS
US TO RECOGNIZE INFORMATION
1 9 4
CI AR
24
What is this ?
See:
http://www.slideshare.net/eliasfuste1/considerations-to-find-creative-designs-solutions

2015 September
SOMETIMES THE ENVIRONMENT
DISTORTS THE INFORMATION
See these two British Grenadiers,
they have the same height

2015 September
But in another environment ...
Which of the two British Grenadiers is higher ?
SOMETIMES THE
ENVIRONMENT
DISTORTS THE
INFORMATION

2015 September
27
PERCEPTION is a meeting point between the observer
and the observed. We can not speak of an outside
observer because there is always some degree of
interaction between to look and the looked (observed)
object.
Our brain does not see the world as it is, but as it was
useful for us in the past and, therefore, all is seen
under the most appropriate way for our survival.
Sonia Férnandez Vidal
Desayuno con partículas
PLAZA & JANES EDITORES, 2013
ISBN 9788401348136

2015 September
Dr. Jorge Wagensberg: IDEAS PARA LA
IMAGINACIÓN IMPURA.
Tusquets Editores, Colección Metatemas.
Barcelona 1998
ISBN: 83-8410-595-0
At this point, we wonder whether it would
be possible to summarize all the above
considerations in a mathematical
expression that allows us to model
behaviours and all the relationships
between systems and their environment.
maybe we can
find the answer
in this book

2015 September
The Philosopher Scientist Dr. Jorge Wagensberg, in his book
"Ideas for the Impure Imagination", suggests that from the
thermodynamics of irreversible processes and from the information
theory can be obtained a basic mathematical identity presented
with the following statement:
The complexity of a system plus its
ability to anticípate to the environment,
equals the environmental uncertainty
plus the impact of the system on the
environment.

2015 September
SYSTEM vs. SYSTEM-ENVIRONMENT CONJECTURE
Cs = Complexity of a system
As = Adaptability and Ability to Anticipate of the system
towards system environment
Ue = Uncertainty in the System-Environment
Se = Sensitivity of the System-Environment towards System.
Impact.
30
Personally I think we can generalize the identity of Dr. Wagensberg expanding
the anticipation concept with the adaptation concept, and the impact concept
with the sensitivity concept, thus we can propose the following identity as a
mathematical conjecture:
Cs + As Ue + Se

2015 September
SOME CONSIDERATIONS ABOUT THE SYSTEM
TO SYSTEM-ENVIRONMENT
IDENTITY CONJECTURE
• Probably we can find high degree complexity in the systems called
Complex Adaptive Systems (CAS). They are complex in that they are
diverse and made up of multiple interconnected elements and adaptive in
that they have the capacity to change and learn from experience.
• Adaptability is the ability to change (or be
changed) to fit changed circumstances. It
also means: flexibility, versatility,
resilience, variability, convertibility,
plasticity, malleability, pliability,
changeability, pliancy, adjustability,
compliancy, modifiability, adaptableness,
alterability, …

2015 September
A complex system is the
aggregation, linear and
nonlinear, of uncountably
many simpler systems.
This is the essence of
complexity.

2015 September
http://women2.com/2014/05/01/adaptability-makes-leader/
http://partnersinexcellenceblog.com/anti
cipation-and-preparation/
ANTICIPATION
ADAPTABILITY

2015 September
“It is not the
strongest of the
species that
survives, nor the
most intelligent that
survives. It is the
one that is the most
adaptable to
change”.
Charles Darwin

2015 September
http://lifejottings.org/2015/05/17/the-uncertainties-of-life/
The intelligence by an
individual can be evaluated by
the amount of uncertainty he's
able to support
Immanuel Kant

2015 September
Considerations about the System
to System-Environment
Identity Conjecture
• Uncertainty means a situation in which something is not known, or something
that is not known or certain:
• Uncertainty is a natural concept, and
our mind will never be able to handle all
the information about a given
environment, and this information
doesn’t exists, nor can limit it to a
specific time.
• In artificial environments created by
man: legal, social, organizational, etc.
Good regulation (laws) or good
strategic plans can reduce the
uncertainty of these environments

2015 September
Identity Conjecture

2015 September
SENSITIVITY

2015 September
• Sensitivity is the degree of susceptibility to damage or harm from changes in
the environment. It means also the degree of awareness and responsiveness
to internal and external changes, challenges, or demands. In maths the
concept means: Degree of change in a dependent variable in response to a
change in an independent variable on which it is dependent.
• In order to estimate the Sensitivity of the System-Environment to the
Systems evolution, changes or adaptability, we need good information.
Identity Conjecture
See:
http://www.slideshare.net/eliasfuste1/consid
erations-to-find-creative-designs-solutions

2015 September
40
“When my
information
changes, I alter my
conclusions. What
do you do, sir?”
John
Maynard
Keynes

2015 September
• When there are low uncertainty environments, stable environments,
systems may become specialized. But in unstable, or uncertainty
environments, systems must be adaptive, flexible, general purpose.
• The old adage: “If it works do not touch”, ceases to have effect.
The new consideration should be: “If it works and you see that the
environment starts to change, you have to start thinking about change,
to evolve and adapt or, in order to survive, your system complexity will
increase”.
• The most immediate way to increase the complexity of a system is to
increase its volume. What is happening with companies in the current
economic environment ?: Mergers, takeovers, holdings building ..., they
are increasing volume. Several ones try to adapt and anticipate.
Identity Conjecture

2015 September
WHY THE SYSTEM TO SYSTEM ENVIRONMENT IDENTITY
CONJECTURE IS IMPORTANT FOR CREATIVE PEOPLE ?
BECAUSE
In addition to help them to understand
the challenge, if CREATIVE PEOPLE, at
work attempt to take into account the
system environment Identity Conjecture,
in a straightforward and subconsciously
manner, they will be considering the
overall universe in which his work is
going to act, and therefore they designs
will be more complete, more integrated,
overall.
Then: the best possible.

2015 September
Thank you
very much
for your
attention!!!!
Antoni Elias Fusté
Creativity Teacher at
BarcelonaTech-UPC

System environment conjecture

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