Wait a second!
More handpicked essays just for you.
More handpicked essays just for you.
Don’t take our word for it - see why 10 million students trust us with their essay needs.
Kelly McDonald
04/28/14
Module 7
Complexity Science Looking at the world where we live everything in someway is connected. Our world is not simple and in fact consists of multiple complex systems. Some everyday examples of complex systems are the brain, immune system, insect colonies, and even social networks such as Facebook and twitter. So what exactly do all these have in common in order to be a complex system? First is the fact that each one has a large amount of simple components that work together by communication through signals without being under leadership. But not all systems are exactly the same so we can break it down further into chaotic systems, complex adaptive systems, and nonlinear systems. Chaotic systems differ in that
…show more content…
It can become very beneficial in the long run depending on how it is applied. However, that’s just it you do not need to know how the entire global economic system works in order to benefit from it. When Benoit Mandelbrot created fractals they were used in various ways, to measure nature and various systems throughout the world. Proven in the video, fractals were used to translate a small piece in the real world to a larger scale involving multiple complex systems. We see this demonstrated when one single tree in the rainforest was observed breaking down into fractals and using the geometrical math in order to predict the amounts of C02 the entire rainforest can absorb. By having this ability to look more at the individual rather than the whole system it is used to our advantage into understanding the system while making the right choices as needed. By right choices I mean looking at the cause and effect of every decision. So referring back to the tree example the decision was to chop down one single tree because the research behind the one tree helped analyze how an entire rainforest is aiding to slow down global warming. Unfortunately, fractal geometry cannot be used towards absolutely everything as it was proven in the videos of anxious age that in a chaotic system it would be …show more content…
After studying the water Temple’s in Bali the structural and organized farm lands created by the Bali people in order for them to regulate their land and resources is a great example to demonstrate the cause and effects of situations according to the right and wrong choices. The complex system they created for the rice fields used a form of small governance by the people over the subak fields by the individuals themselves forming a coordinated schedule of when the crops would be irrigated. Due to the fact that they control what goes into their crops and the amount of resources used they can limit the outcome of pesticides and damaging effects to the corral reefs. At the individual scale this allowed the Bali people to save their resources while growing just enough food to support their people. Not only is this a positive outcome for the environment but just as much for the community because the success of their crops is based on one another’s communication and interaction. When the government steps in concentrating solely on the larger scale and outcome they may have been making the right choices for the bigger picture but not necessarily for the long haul. By forcing the Bali people to produce larger amounts of food it created food security for more people due to the higher amounts of crops produced at one single time. However, in order to grow larger amounts of crops means that more resources such
Indirectly through out his novel, Camus compares people who rely too much on their logic and rationality, versus those who accept that our world is confusing and unpredictable. Similar to his thinking, in “Crickets, Bats, Cats and Chaos” Lewis Thomas suggests that chaos stimulates the brain and actually suggests that even crickets or cats have thoughts during chaotic or unpredictable situations. Even though I have always seen chaos as a total lack of order, a desperate situation in which an individual loses control, Thomas gave me a new concept for chaos. He says that it emerges when a system is altered by a small change or small uncertainty in its interior; chaos is then the
While the studies at Governor’s School are noticeably more advanced and require more effort than at regular public schools, I see this rigor as the key to my academic success. For me, the classes I take that constantly introduce new thoughts that test my capability to “think outside the box”, are the ones that capture all my attention and interest. For example, while working with the Sierpinski Triangle at the Johns Hopkins Center for Talented Youth geometry camp, I was struck with a strong determination to figure out the secret to the pattern. According to the Oxford Dictionary, the Sierpinski Triangle is “a fractal based on a triangle with four equal triangles inscribed in it. The central triangle is removed and each of the other three treated as the original was, and so on, creating an infinite regression in a finite space.” By constructing a table with the number black and white triangles in each figure, I realized that it was easier to see the relations between the numbers. At Governor’s School, I expect to be provided with stimulating concepts in order to challenge my exceptional thinking.
James Gleick was quoted by Yeongmahn You, where he stated that “fractal means self-similarity; self-similarity is symmetry across scale. It implies recursion, pattern inside of pattern”. In other words self-similarity is a repetition of the detail that present from the smallest to the largest scale, therefor creating a hidden pattern of order that has structure and regularity (Gleick 1987:103).
ABSTRACT: I examine some recent controversies involving the possibility of mechanical simulation of mathematical intuition. The first part is concerned with a presentation of the Lucas-Penrose position and recapitulates some basic logical conceptual machinery (Gödel's proof, Hilbert's Tenth Problem and Turing's Halting Problem). The second part is devoted to a presentation of the main outlines of Complexity Theory as well as to the introduction of Bremermann's notion of transcomputability and fundamental limit. The third part attempts to draw a connection/relationship between Complexity Theory and undecidability focusing on a new revised version of the Lucas-Penrose position in light of physical a priori limitations of computing machines. Finally, the last part derives some epistemological/philosophical implications of the relationship between Gödel's incompleteness theorem and Complexity Theory for the mind/brain problem in Artificial Intelligence and discusses the compatibility of functionalism with a materialist theory of the mind.
Throughout the modern era scientists and mathematicians have believed the world and it’s various systems follow a linear order. Much like a clock ticking second by second, minute by minute, hour by hour, day by day. The belief was predictable in nature, following a simple order. However, there are many unexplainable events that occur every second across the world that do not fit this model. The opposite theory by natural law is chaos. Ancient Greek philosophers believed Chaos was evil, it dwelled in the underworld among the dead, it was opposite of Gaia, the goddess of the earth that was seen as good and orderly. In 1961 scientist began to study the idea that they may have missed something big and that was ideas of chaos and how it related to weather, science and especially ecology.
“Traditionally, scientists have looked for the simplest view of the world around us. Now, mathematics and computer powers have produced a theory that helps
My infatuation in fractals began freshmen year at Greeley after taking a Seminar with one of the seniors. I’m not sure exactly when simple interest turned to a kind of obsession, but during that lesson something seemed to click. It seemed as if this was the universe’s answer to everything; the mystery was solved, however complex the answer was to understand. I’m still not sure if I was misunderstanding the lesson, or if I had somehow seen it for what it really was; a pattern to describe the way the universe works.
Artificial Intelligence (AI) is one of the newest fields in Science and Engineering. Work started in earnest soon after World War II, and the name itself was coined in 1956 by John McCarthy. Artificial Intelligence is an art of creating machines that perform functions that require intelligence when performed by people [Kurzweil, 1990]. It encompasses a huge variety of subfields, ranging from general (learning and perception) to the specific, such as playing chess, proving mathematical theorems, writing poetry, driving a car on the crowded street, and diagnosing diseases. Artificial Intelligence is relevant to any intellectual task; it is truly a Universal field. In future, intelligent machines will replace or enhance human’s capabilities in
The methods that available in the production of knowledge are limited by the ethical judgments, but the definition of whether the method is ethical or not depends on a couple different things. The first one is the personal judgments. Each person would have different judgments for the same method. However, one personal based judgment cannot be universal. The second one is the social judgment. It is related to the personal judgment. When a personal opinion for a method is agreed by most of people in the society, this opinion would become a social judgment.
Knowledge is something that can change day to day, which can be learned through both the natural and human sciences. Knowledge changes in the natural sciences when an experiment is conducted and more data has been gathered. Knowledge changes in human sciences when patterns are recognized in society and further tests have been conducted. Does our knowledge of things in the natural and human sciences change every day? I think that our knowledge grows everyday but does not necessarily change every day. The areas of knowledge that will be discussed in this essay are natural and human sciences. In History we can see that at one point something that was considered knowledge then transformed into different knowledge, especially in the natural sciences. However, in the past, due to lack of technology, it might have been more of a lack of knowledge that then turned into knowledge on the topic.
Named after the Polish mathematician, Waclaw Sierpinski, the Sierpinski Triangle has been the topic of much study since Sierpinski first discovered it in the early twentieth century. Although it appears simple, the Sierpinski Triangle is actually a complex and intriguing fractal. Fractals have been studied since 1905, when the Mandelbrot Set was discovered, and since then have been used in many ways. One important aspect of fractals is their self-similarity, the idea that if you zoom in on any patch of the fractal, you will see an image that is similar to the original. Because of this, fractals are infinitely detailed and have many interesting properties. Fractals also have a practical use: they can be used to measure the length of coastlines. Because fractals are broken into infinitely small, similar pieces, they prove useful when measuring the length of irregularly shaped objects. Fractals also make beautiful art.
Fractal Geometry The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete one. Fractals go from being very simple equations on a piece of paper to colorful, extraordinary images, and most of all, offer an explanation to things. The importance of fractal geometry is that it provides an answer, a comprehension, to nature, the world, and the universe.
...empts at doing our part. But what is really needed is change at national and global levels. Only by convincing leaders to create laws that improve our energy policy, and pushing companies to adopt sustainable business practices on a global level, can we see real change. (EDF - Environmental Defense Fund , 2015) We need laws, polices, and infringes…..etc. whatever it takes in order to get our CO2 emissions under control. There are plenty of ways to improve on the current state of global warming like limiting global warming pollution, utilizing renewable energy, drive smarter vehicles, or even drive less. However small the action any change in our normal day to day can still help tremendously especially when done by a large number of people. We have to remember that this is the only planet we have and global warming is a global issue that needs to be taken seriously.
Chaos theory has numerous application including helping explain phenomena or helping to predict the future. Chaos theory is applicable in various fields ranging from weather, business to medicine. Chaos theory explains the reason why it is practically improbable to predict the weather with the current technology as well as providing a way for people to find patterns in the chaotic system of stock exchange. It also helps with the running of organisation by showing what sort of condition is needed for a profitable business as well as helping doctors predict when heart failure may occur. Fractals which is a concept of chaos theory also is portrayed in the natural world in examples such as lightning and neurons in the brains. Chaos theory has
Many people assume that the environment is not in danger. They believe that as technology advances, we do not need to worry about renewing natural resources, recycling, and finding new ways to produce energy. They state that one person in the world does not make a large difference. In reality, each individual's contribution greatly affects our environment. Our natural resources are slowly disappearing, and we must work together to save them and the Earth from ruin.