Skip to main content

Home/ Groups/ 12 Theory of Knowledge 2013-2014
ty frederickson

Teaching Arts and Sciences Together - 0 views

  •  
    Mae Jemison, astronaut, doctor, artist, etc., argues for the link between Art and Science.
ty frederickson

Dr. Zimbardo's "The Psychology of Evil" - 0 views

  •  
    TED Talk reflecting Zimbardo's work on Social Psychology and the Nature of Darkness in the Human Psyche
ty frederickson

Dr. Stanley Milgram's Obedience Experiment - 0 views

  •  
    Several versions of this video depicting Milgram's work in Social Psychology are available. This one is worth your time, but you'll see others work a look when you open the page.
ty frederickson

Emotion Testing - 1 views

  •  
    Think you can read how another person feels? Give this quick quiz a try!
  •  
    i got 7/10 right...hahaha
ty frederickson

A People's History of American Empire - 2 views

shared by ty frederickson on 03 Dec 13 - Cached
  •  
    Video by Howard Zinn in support of the discussion on the radical school of history.
  •  
    An interesting short, I think that it highlights some major issues with the ways that we are manipulated. The iconic image of the Vietnam veterans throwing their medals at the White House was probably the most striking one to me. The reason is that it appeals to me emotionally by showing that these men feel that their awards for fighting were not worth holding onto in this war. I think that the fact that this video is so concise limits its potential to inform, but gives it the potential to make people want more knowledge. I think that in the area of knowledge of art this film also has its appealing qualities. The ironic image of the elephant and donkey standing at a podium makes me think of the statement, "the US congress is one party with two right wings." Although this is a rather sweeping statement, I think that it is one that particularly resonates with me, as I agree with it to a certain extent. The real question is: What is to be done? (credits to Lenin). I am no neo-Marxist idealist so I would not propose that this is the way out, but I think that serious revision of the aims of nations worldwide must be brought underway if we are to have the remotest idea of world peace. This film highlights a small portion of what history is, and I think that it is important that we do not forget that the analysis of past events is the key to synthesizing a better future.
  •  
    This video had quite a few links to a very enlightening book called Democracy Incorporated that I read a few months ago. It discusses the concept of 'inverted totalitarianism', which discusses how America is controlling the world for economic and market supremacy. I found the video to have brought up very interesting issues about how historical events have been portrayed and taught in the past, and what the truer motives behind them were. There has been some sort of empire ever since humans have been able to travel and conquer, but none have ever matched the scale or influence of the American one we have today. It was a short film, and mostly about Zinn's personal experience, but it was revealing about the undercurrents of history. I also found it interesting that in my HL history class, we learn all about the subtleties of history, and the things that Zinn mentioned that were apparently only in the secret archives are facts that we are told from the very beginning, such as the real motives behind US involvement in Korea and Vietnam. It raises important questions about historical knowledge at different times. Was the history that kids were taught in the sixties 'wrong' if they thought about it a certain way then, and didn't have the knowledge we have? There are experts on the 9/11 tragedy, but so they have as much expertise in it as someone in the future that might discover some hidden archive? how much extra knowledge is needed to prove former conceptions about a historical event wrong? History can be told in many different ways, and it is ironic that there are so many different perspectives and views on a single event that happened the way it did.
ty frederickson

The Mathematics of War - 1 views

  •  
    I intend to offer this to you in class; however, as time may not allow, Sean Gurley's discussion here is an interesting and unique insight relevant to the positivist approach to history insofar that historical events may be utilized to make predictions on future events.
  •  
    A good statistic to keep in mind when analyzing any conflict. The question of what is an attack comes to mind, would 9/11 come under this? Would the Tet Offensive come under this definition of "attack"? If so, I think we have to consider the other side. I think his statistics were great, but I would like to see the other end. Maybe a series of statistics of the drone attacks? I think that the meaning of this video is good, but that statistics can be manipulated in many ways. Yes, the Serbs in Yugoslavia were massacring people in the thousands, it wasn't even safe to walk the streets, a nightmare of a state really. But one interesting statistic to consider is this one that I heard earlier: 14 tanks were destroyed by NATO bombings, 147 schools were destroyed by NATO bombings. Even if they're unoccupied, this is still a pretty inefficient method of warfare. Which raises the question, is there a proper way to fight war? Maybe Henry David Thoreau's idea of passive resistance works, but maybe events like the Sharpeville massacre prove it wrong. These sort of statistics are the most serious sort in a war, but not necessarily the most "truthful". In retrospect, I think that the writings of Robert Fisk are my favorite when it comes to covering war. This is because he focuses on the people on the ground, but not the soldiers, the ones who are the innocent victims of war. In conclusion, I think that this was an informative video, but one that I would consider a largely West-centric one at the same time.
Hareth Al-Maskari

Triumph of the Will - 1 views

  •  
    Probably the greatest example of how easy it was to be sucked into erroneous beliefs.
ty frederickson

The History of Our World in 18 Minutes - 6 views

  •  
    Required Viewing for our ToK Unit on History as an AoK
  • ...6 more comments...
  •  
    I found this video to be fascinating and thought-provoking, as it opened my eyes to this perspective of viewing the history of our universe. After viewing this video, I would find it interesting to see if there is any correlation of time between the "Thresholds" and determine an estimate of the next threshold. However, based on the infographic displayed in the presentation, it seems like there is a high concentration of the thresholds at the beginning and present points of the universe. I also find it problematic to determine how such a threshold could be defined, as Christian himself said that he "considers" humanity as a threshold. This implies that there is no definite way to define such a threshold, which throws me off a bit as there is a lack of precise methodology in his selections. This video also made me consider what implications these thresholds have on the future. What kind of thresholds will be possible in the future? In retrospect, based on the previous threshold, I can't imagine a possible way that our universe could become more complex, however, taking into account the previous thresholds, I don't think that people at those times expected the way that agriculture and fossil fuels would have the effect that they did.
  •  
    Perhaps what is most intriguing in the video is the idea of thresholds to signify significant developments in the universe as dictated by increased levels of complexity in contradiction of the law of entropy. The question of what may lie ahead of us, or the universe. Would it only envelope humanity, or would it apply to the universe as a whole - as an idea that may apply to any life form. The question that also arises from this video is that, if we do not have collective learning, is the idea of history nullified? Just because we do not have a recollection of an event, should it not be disregarded to having happened at all? The definition of history in this case, supposes the otherwise.
  •  
    One of the aspects that stood out to me during David Christian's "The history of our world in 18 minutes" is the concept of multiple kinds of history. When studied on an academic level, modern history revolves around human interaction, economics and development. History before human existence is then very difficult to discuss, unless the discussion is from a scientific perspective. What I found so interesting about Christian's discussion is the suggestion that there is a history of the universe, of life on earth, of humanity, and of the self. I have never considered a person's individual experiences throughout their life as history; instead, I viewed collective events and experiences as history. In hindsight, I think that is a very utilitarian perspective towards history and is probably a result of how I have been taught history. I now think that history can either be science based and objective/subjective, social science based and subjective, or personal and subjective. However, I find it interesting that science based history is only partly objective. When we discussed science as an AoK, we seemed to agree that science was objective with a few exceptions here and there. However, when Christian discussed thresholds in the world's history, he did not clearly explain methodology in determining whether an event in history could be a threshold. The way Christian then went on to determine thresholds seemed to be subjective, leading me to think that even science based history could not be completely objective.
  •  
    This TED talk was truly a different way of approaching history and exploring different perspective in 18 minutes. I particularly liked the egg analogy as it provided a better understanding of the way he approaches history of the universe . He uses the egg analogy to understand that the universe works from a step by step and structured to unstructured way and lack of order seen in both, in the our universe as well as the society. This particularly stood out for as it is thought-provoking statement which made look back into history and remember a few examples of it. I loved the idea of "thresholds", this is a very significant concept that I have never come to think about it prior to this video. Not only it could be applied to the science behind the history of the world but also to our personal lives and we could also see to some extent in our history., I agree with Amal on the point that history can now be perceived as being the science based as well and it truly interesting how it can be explained. throughout my life i have considered history as the study of historical events and its subsequent consequences. It had always revolved around the idea of war in different countries. However this video has truly broaden my perspective on the word "history". I really enjoyed the video and had too much to learn.
  •  
    This was a very different and informative TED talk, more so than previous TED talks I have seen. The structure of the talk worked well to compliment the meaning and explanations of the ideas presented by David Christian. Moreover, the analogy with the video of the breaking and mixing of the 'egg' played in reverse to represent the opposite of the Law of Entropy was intriguing for me, and grabbed my attention. The ideas presented in the bulk of the talk discussing different historical 'Thresholds' was also an 'eye-opener' for me personally because I had never thought about history in this way. With this perspective on how 'History' can be applied as one of our Area of Knowledge's we can gain a complete different variety of concepts and see things in a very different perspective as let's say one of the pervious TED talks, showing us how mathematics can be integrated and used in history as well. I feel that these are two very different perspectives, not ones that we would normally find ourselves thinking about but because of this very reason, they are very beneficial to look at when gaining an insight of knowledge about history.
  •  
    I watched David Christian video called "the history of our world in 18 minutes". I found the video fascinating as I still have trouble understanding how people managed to get all the information about events that happened 13.7 billion years ago. I liked the fact that the only reason we got to where we are today is because of unexpected events that occurred in the past. This could be seen from the asteroid hitting the earth which eliminated all the dinosaurs, and allowed further and more complex life to be created after the event. The unexpected events were also found in the small errors of DNA which allowed them to evolve and form something even more complex. It is obvious that these events could not have been predicted in the past as there were no signs of them occurring. For example, the dinosaurs did not have enough knowledge of the incoming asteroid and about the damage it would cause. However, as David Christian mentioned, humans are the only species that have collective learning. This means that we can build upon our knowledge and create history. This is also the only reason humans have been able to learn so much about the past events in detail, as the knowledge found by people has not been lost. People have been able to use the knowledge they have developed from past events to do many things such as predicting future events. The more we know about the past events, the more we will understand if similar events come up in the future. The thresholds were described from coming from unexpected events. However, with all the knowledge gained from past events, I think humans would be able to make these events seem less unexpected. For example, if another asteroid were to hit the earth, humans would most likely be able to find out much more information about it, such as when it will hit and what the consequences of this event will be. This doesn't mean that they will be able to control the situation and prevent it, but I do think humans have a larger ability
  •  
    After watching this video, the first thing that came to my mind was, "wooooow". I really liked the way Mr. David Christian had explained his thoughts and ideas. His analogy of the egg being mush and our complexity being similar was clear in his context. It all also made sense to me about the difference between humans and other species since we have language and a different degree of collective learning. Overall, the video was very instructive, explanatory and very well constructed. That's why even though it seemed to be very confusing and had a sort of overload of information, the way it was represented made it easier for the audience to comprehend. That's why I got the chance to really understand and think about his ideas in depth. The way he studied history and explained it to the audience was most entertaining and educational in my opinion. The reason I think this is because he took a different approach to history. Usually when people refer to history it's focused on human history and what we had done as species. But his approach is very scientifically based and focused which made it more factual which in affect made it make more sense to me. I understood what he meant about the complexity of the world being the base of it's development although I didn't completely understand it.
  •  
    The most intriguing idea I took from this video was the first concept presented by David Christian - the idea that the general tendency in the universe is for things to go from order to lack of order and entropy. Although he does present this idea in the context of physics through the second law of thermodynamics, I find this a little confusing personally because if I were to think in terms of, say, particle physics, the general tendency is for particles to decay from a high energy state to a low energy state; this could be interpreted as things going from lack of order, to order, contrary to what Christian introduces in his TED talk (do correct me if I'm wrong). However, I do see the error in my thought processing as I realise that if I were to look at things in the context of scientific history, single-cell organisms evolved into multiple-cell organisms, which then developed tissues and organs and so on and so forth. From this perspective, I completely understand the tendency of "mush" going to complexity. Hence, I am a little perplexed at this first premise of the video. I found the Goldilocks condition to be intriguing as well as we see this happen often if we were to look at it in terms of science. For instance, an electronic transition can only occur if you transfer the exact amount of energy to an electron, or the activation energy required for a chemical reaction to occur (you may have noticed my trend to look at things in terms of science). If the model of the universe follows these Goldilocks condition, would it ever be possible to predict the next "threshold" of development? This comes back to the Positivist school of history: the idea that we are able to predict future events based on patterns derived from the past course of history. However, as we established today in class, history may not exactly be predictable, due to inconsistencies and irrationalities of the human mind. Then again, factoring out mankind and its tendency to be illogical
Hareth Al-Maskari

Documentary on American Imperialism - 0 views

  •  
    Good simple documentary on how the world is run.
Hareth Al-Maskari

War and Peace on History - 0 views

  •  
    This is a great (rather long) writing by Tolstoy on the nature of history.
ty frederickson

The Fog of War - 2 views

  •  
    The whole documentary. Required viewing for our ToK Unit on History as an AoK.
  •  
    This is probably one of the greatest historical documents ever produced. I do not want to go on about the quality of the film but I think that its value is paramount in understanding the nature of the Cold War and the epic redundance of policies such as MAD and the Madman Theory. Considering this from the AoK of art, I think that the quality of the film is unsurpassed as a documentary, with key images given with extremely important text. As a philosophical piece it is also of extreme importance, as it gives one the ability to realize that perspective is everything. The numerous misunderstandings that McNamara had with his foes gives clear evidence to value of patience and analysis of context in any conflict. Furthermore, the value of this piece is in the fact that it is given from the perspective of a man who lost so much (including his son's love) for a cause which he denounces in this film. Finally, as a historical document, I feel that this film particularly resonated with me. First of all, as a primary document it gave great insight into the Cold war. Secondly, the fact that it has the (huge) benefit of hindsight shows that this man is now as well informed as I think he can be on the events that he participated in. Lastly, I think that the emotion and language conveyed through this film shows that reason is often our last priority in a crisis, and that we often seek "victory" over our enemies at all costs.
ty frederickson

History as Subjective: New Media and its Impact on the Past, Present, and Future - 0 views

  •  
    Enjoy this eight minute discussion in support of the relativist subjective school of history.
ty frederickson

The Mathematics of History - 10 views

  •  
    The idea presented here is very interesting, increasing the depths of historical analysis through digital statistics and other forms of measurement. This provides a different dimension to studying history, as normally it revolves around studying various human factors before and after an event, the possible advent of math incorporated in the subject would enable a new and greater understanding of a particular time period, while also allowing for future speculation of events that could lead to prevention of potentially negative ones. The only problem with this talk is it is short and leaves the viewer with unanswered doubts (intentional?), such as how can one be certain that algorithms based on the past where circumstances were entirely different are reliable for predicting future events?
  • ...8 more comments...
  •  
    I watched the video of the presentation "The Mathematics of History" by Jean-Baptiste Michel. I found his efforts in trying to explain parts of history using mathematics very interesting. Although I agree that historical events can often be explained by logic and relations, I feel Mr. Michel is pushing it too far by claiming that mathematics can be used to measure and explain historical forces and as a consequence potentially even be used to predict the future. Let me show what I mean by focusing on his example of frequency of wars versus number of casualties. Mr. Michel showed in his presentation that there was a logarithmic relationship between the number of wars during the last two centuries and the number of casualties in these wars. More specifically, he argued that taking the number of wars with a certain number of casualties (e.g. 1K-10K), the number of wars that were 100 times deadlier (e.g. 100K-1M), were 10 times smaller. Obviously it is difficult to argue against the fact that there is an inverse relationship between the number of casualties during a war, and the number of wars of that magnitude. After all, the vast majority of inter-state wars are relatively small in terms of casualties, and a major war like the World War II only happens once or only a few times throughout history. However, I would claim that the mathematical relation shown by Mr. Michel is more of a "snapshot" than a universal rule. Had he for instance looked at the last four centuries, rather than the last two, I am pretty sure that the mathematical relation would have been a different one, as the number of smaller conflicts would have increased, but no other major conflict like the World War II would have happened during this period. As a result, the "100 to 10" formula argued by Mr. Michel would no longer be correct. In my view the number of casualties in a war and the frequency of wars of different magnitudes are driven by a number of various parameters, and cannot
  •  
    The ideas that Jean-Baptiste Michel presented are quite troubling and inaccurate. The aim on his presentation was to open the viewer's eyes to the mathematics of history, but the body of his presentation, in my opinion, did not work towards the effect of his aim. The example that he presented about the wars in the previous two centuries displaying a mathematical relationship that may be graphed does not necessarily display that mathematics plays an important role in gaining insight into history. This is a simple compilation of statistics, displayed on a graph, not an in-depth analysis of a historical event. What he is doing is narrowing down "History" to a set of numbers: Dates and casualties, which he portrays using mathematics but does not go to the lengths of what I would consider historical knowledge. This is merely a trend of occurrences, similar graphs could be drawn about the increasing population of cockroaches, but that wouldn't make it "Historical knowledge". This TED talk has not influenced my perspective that, although math may play a minor role in some aspects of history, the essence of history: the understanding of people, nations and events in the past remain an area which is alien to math. It is not as if this is a major disadvantage or problem, I believe that it is fairly normal for such a complex subject, which is heavily influenced by the interactions, beliefs and emotions of humans remains largely untouched by the rigid logic of mathematics.
  •  
    After watching the TED talk, 'The Mathematics of History' by Jean-Baptiste Michel I was left quite astonished. Before this video, I hadn't ever thought in-depth about how mathematics could be used in history, to agree with what Azat has stated above, it's almost "alien" to the subject since history is about the past, and is affected by humans and their actions, whereas mathematics deals with numbers and numerical reasoning. To expand on this thought and in agreement with Michel, one of the core elements of mathematics is finding patterns in numbers, and this does indeed relate to history insofar that finding patterns in history is helpful as it might help us predict future human actions in a very vague way. This relationship gave me a new perspective on the topic as again, I had never thought about it in this way. However, I am of the opinion that Michel's presentation was extremely short and could have benefited if he expanded further, explained further and also gave us more examples. I say this because as a viewer and listener, I am very interested in this discussion as it's a new perspective for me, and listening to someone with greater knowledge about history and historical events explore deeper into it would be very interesting. I feel that Michel just gives us a small opening into this topic, and I would be very interested to see how far we could go with correlating mathematics to history in order to vaguely predict the future.
  •  
    First of all, I would like to say that the main idea from this ted video is very interesting, how bringing math and historical events closer in order to understand human behavior and explain it in a logical and mathematical manner. One of the most interesting about this video was his explanation on the statistics on the number of casualties and the duration of the war and how it reflects on human behavior of perceiving quantities. However, he did not consider other factors that correlates in each war. Each war would have different factor that will explain the size of the war's causalities that I think will make his explanation on the statistic to be different. I had another problem when I was watching the video. The first formula he showed about the change in irregular verbs to regular verb was confusing. He did not explain it with an example to give a better clarity to his audience and this made me think that he is just putting an equation just to show there is a relationship between math and change in human behavior. It did not give me the certainty that it will work for each irregular verb as it has lack of explanation. Despite the lack of clarity in his formula, maybe it does work since based on his biography, he is an credible person. Despite of the few problems I had when watching the video, his idea is still valid and can be more relevant in the future when most things will become digitalize.
  •  
    The presentation by Jean-Baptiste Michel sheds a new light on the issue of the role of mathematics in history. While the majority of people willingly cling on to their preconceived notion that mathematics is of no value in terms of historical knowledge, Michel argues that mathematics can be used to enhance our understanding of the past. Two support his argument, Michel even provides two examples of the application of mathematics to history. In my personal opinion, while the examples provided by Michel did demonstrate the role of mathematics in history, they did not show its importance. Sure, we now know that history is quantifiable but what Michel does not tell us is how quantifying history improves our understanding of it or why it is useful in terms of historical knowledge. So it follows that the importance of mathematics in historical knowledge is yet to be demonstrated. To put it simply, I still can't imagine history students performing calculations on their calculators in order to 'learn' history.
  •  
    This TED talk gives a whole new perspective on hoe math can is not a only a logical subject but also a subject that helps understand other things like nature or culture. Obviously, I knew that math is a vital subject in our education and would help s understand other things but thins video shows why and how it is important. I agree with Baquar on how people think math has absolutely no value unless you are doing something in your carrier like engineering. I may be repeating myself here, I am intrigued by how math has different roles in one's life, in history, in culture. but as Naquib mentioned that math does show the importance of a war, at least its a start of a new Math language that will improve our understanding of everything, I realize that it is a long process and has many flaws but its a start. I have always hated math but if math is going be like I would be really interested in learning and understanding our environment.
  •  
    I always thought that Mathematics was about numbers and equations put together to result in something concrete. However, after watching the TED talk video, it opened me to a whole new perspective. The idea of calculating history using mathematics is fascinating. Whats even more fascinating is how a formula was created to do so. This broadened my knowledge and perspective on what Mathematics actually was. If we can use Maths to understand history, we can also use Maths to calculate and understand things in the future. Not only that, but we can use maths to understand other aspects of our lives. This itself is very interesting to me and quite cool. I agree with Dylan, the video was relatively short compared to how gripping it was. If the video was longer, and if he provided more examples it would help me better understand the variety in what Maths can be used to understand other things.
  •  
    I found this video very interesting. Combining history and mathematics is something I've never heard of before. Yes, it does bring a whole bunch of possibilities in the way we can perceive history but I don't find his examples that convincing. I feel like we need to explore this aspect in much more depth to conclude that mathematics does in fact play a role in understanding history. Another point I'd like to make is that, what if we do assume for now that mathematics is an integral part of history- so what? What are the advantages/disadvantages of perceiving history in this way? Do we 'understand' the past better by involving mathematics? Wouldn't understanding the past now become more objective than subjective( does this make history more accurate)? I'm still very interested in exploring more examples of mathematics in history but I do feel that this may bring in some disadvantages in the learning of history. To conclude, Jean-Baptiste Michel has indeed opened up a whole new perspective in the field of history but it is too early to be fully aware of the importance and consequences of this sort of thinking.
  •  
    Jean Baptiste Michel comments on the human ability to "perceive quantities" (2:30, the mathematics of history), he goes on to explain his point with this analogy; committing 10,000 soldiers to a battle in which already 1,000 soldiers have been committed previously, is relatively an enormous quantity of soldiers to the war. On the other hand, committing 10,000 soldiers to a battle in which already 100,000 soldiers have been previously committed is a relatively low quantity in terms of war. I found this to be interesting, in how our mathematical process affects our perception of history. War is a prominent fixture in human history, while death is a way in which people can relate to history, mathematics plays a prominent part in understanding and quantifying an emotional response from an individual. Michel states to the that large numbers of casualties in war's are proportional to the relative stakes, so therefore the larger the number of casualties, mathematically could have less emotional impact to an individual. This is becomes an issue when studying war's and conflicts in our history. While we inherently bring greater importance to events in which many casualties occurred yet are unable to emotionally connect due to our mathematical and statistical reasoning and perception.
  •  
    I really liked this TED Talk because it looked at history in a way that I never thought would be possible - through mathematics. I found it interesting that humans behave in systematic, mathematical ways, even though we don't think we do. Natural sciences such as physics and chemistry all have some mathematical bases or phenomena that can be explained in terms of maths. Social sciences, such as economics, history and psychology are rarely ever explained in terms of mathematics. It seems illogical to think that humans behave in a systematic manner. However, I think that if this idea of mathematics being a part of history becomes popularized, this could help us in many ways. In the beginning, we would be able to understand the patterns in history, we'd be able to understand part of the human thinking process, such as the perception of quantities and how it affects our decisions, as Jean-Baptiste Michel said. Later on, however, we would be able to predict the future and possibly prevent unfavourable outcomes. I think the systematic way of looking at history may be a big step for humanity. (Although, it may cause us to act like robots, which may lead to other implications.)
Amal Waqar

RICHARD FEYNMAN: The beauty of a flower - 0 views

  •  
    The perspective of beauty from different AOKs. 
ty frederickson

Why Study History - 2 views

  •  
    Required Reading for our ToK Unit on History as an AoK.
ty frederickson

Fractals at the Heart of African (Community and Art) Design - 6 views

  •  
    I found this argument and concept very exciting. I've always been passionate and interested in learning and developing understanding of different cultures, and what different cultures find sacred. In the two main cultures I was raised in (American and Omani), mathematics plays an important role in education and careers. It had never occurred to me that individuals around the world could view mathematics in a religious and holy light. The Bamana priests found their sand divinations so sacred that they wouldn't share their "secrets" with Eglash. Only his initiation into Bamana priesthood allowed him access to the secrets. The fact that the Bamana priests guarded their divinations so much demonstrates the significance they believe mathematics has, and correlates with the spiritual qualities they believe mathematics to have. While this belief of math having divine qualities is new to me, it has been recurrent in mathematical history. Funnily enough, it sounds like Cantor believed himself to be a "mathematical prophet". Whether we believe his claim to be true or not, he also considered math a divine matter, and provided us with mathematical concepts that have come to shape our technology-driven, modern world. I've struggled with math as an academic subject, consistently viewing it as something that "needs to be done" rather than something that is fascinating and representative of culture and identity. What Eglash is doing by connecting individuals with their "mathematical cultural heritage" is inspiring. It is providing a new backdrop for mathematical education and is (I believe) fundamental to developing deeper understandings of mathematics in cultures.
  • ...2 more comments...
  •  
    I found this video interesting because it reminded me of the golden spirals I believe they were called, and how they could often be found all around us such as in the simple patterns in the petals of a flower. Personally, this made me think about where else in the world, whether man made or natural, that different forms of mathematics can be found. Referring to Jean-Baptiste Michel's "The Mathematics of History", there is even a simple mathematical proportionality that can be found in the regularizing of verbs over a period of time. So then, can we use mathematics to derive any other lingering mysteries in the world, such as the proportionality of an empire's size to its period of reign? How reliable will this strand of 'historical' mathematics be? In Ron Eglash's "The Fractals at the Heart of African Designs", can it be proven that the African tribes were whole-heartedly attempting to create fractal patterns, or were they simply trying to create patterns that satisfied aesthetically? In that sense, we can never know what the tribesmen and women of the time were thinking, or whether they were even conscious of such beautiful fractal patterns. In my opinion, it would be interesting if one could personally question one of the tribesmen who designed such patterns in order to determine their thought processes. Perhaps there is a deeper, more fundamental meaning to these recurring fractal patterns in the architecture in these African places that we have yet to understand.
  •  
    Ron Eglash's talk about fractal patterns in African villages was very intriguing. The perspective that people in Africa are not educated seems even more bizarre after finding out about some of these patterns. Eglash mentioned something about knowing things about mathematical fractals because of algorithms that were applied for practical purposes. I find it to be rather interesting that in seemingly developed communities, we learn mathematics and then we create ways to apply it. However, in these villages, the people are posed with problems and then they use mathematics to solve them. I wonder how this approach changes the different societies' perspectives on mathematics. We often hear students complaining about how 'finding x won't help them in the future', but if people were presented with practical issues that were only solvable by maths, maybe their perspective would change. Another thing that I found to be fascinating was the almost subconscious mathematical relationship between the length of the straw and the strength of the wind in the windscreen example. It would be interesting to see what practical mathematical relationships other cultures have established.
  •  
    What I thought was interesting was that he brought up that mathematics is in nature and it is there consciously however we are unconscious about it. All the examples from Africa explains mathematics in real life and in their culture however they do not take it as "mathematics", they just do it. They know about the mathematics that goes into the process though Englash went back the process to see the mathematics in it. This was interesting people with more developed technology goes back to understand the mathematics behind what people in Africa do in their daily life. I never thought mathematics can connect to nature or some people's daily life. To me, mathematics seemed very abstract and I just couldn't see it connecting with mathematics because I believed things that happens in nature are more spontaneous and without any particular patterns. Now I think I understand when people say "we need mathematics for everything" and "we cannot live without mathematics", though we need most subjects that we learn in school. We tend to just think about a subject in the particular class room when we should paying more attention outside of class to see how it connects to us and how most things in life is from what we learn in school.
  •  
    I found this TED Talk very interesting, and after watching this and especially after today's TOK class, I am starting to realize the mathematical concepts in different situations and environments around me. One things that Mr Eglash said that really intrigued me was the function of the fractals in the villages of Cameroon. He explained and showed a diagram illustrating how the houses in a village all circle the leader's home in the middle, who is in the middle of his family within the bigger circle. Even the houses on the outside are surrounded by other houses in a circle, and I found the reason behind this mathematical layout very interesting. Eglash explained how when people went deeper and deeper in the cirles, they had to be more polite and respectful. Also the more important people were in the centre of the circles. These two factors highlight how mathematics is used as a form of representing social hierarchy/discrimination, as social class and importance in the society is reflected through one's position in the multiple fractals. Also, another thing that I found interesting goes back to a central debate we discussed in class: was mathematics invented or discovered? Eglash told us how the people in these various African tribes had told him that they had not known what fractals were, they had just shaped their villages this way because they looked attractive and interesting, and in my opinion fulfilled their social representational needs. But we have made something out of shapes within shapes, we have given thm names, applications and intellectual importance. But these African villages have given them applications and importance as well, without even knowing what they were. But a question arises: do we even know what they are? We have given them meaning through our interpretations and perceptions, but how can we know whether 'our' fractionals are the same as 'their' fractionals? Do we need to mathematically understand what something is in order to find it useful
ty frederickson

Fermat's Last Theorem - 1 views

  •  
    Please check out this wonderfully insightful and totally relevant exploration of Andrew Wiles and his work with Fermat's Last Theorem.
1 - 20 of 74 Next › Last »
Showing 20 items per page