Sunday, June 17, 2007

The Da Vinci Code Reloaded : Fibonacci's Revenge

It was a common lament of high school to hear about mathematics: "How does this apply to the real world?". This was often echoed by people with little patience or imagination. Fear not, math lovers. A more mature understanding of math is that it is used EVERYWHERE in the real world.

Every single thing you own depends on math. Whether it's your sneakers or your iPod, everything you own required someone to know mathematical concepts to create those objects. The more complex the object, the more mathematics, science, and engineering knowledge it requires to produce it.

There is no magic here, however. Anyone can begin to understand these concepts by reading web sites and observing nature. The Da Vinci Code book and movie made the Fibonacci Sequence come into fame, but people have long known about the curious relationship of the PHI ratio to rest of the cosmos and its natural order.

You can read all about the Fibonacci Sequence on Wikipedia and elsewhere on the web. Here are some of the best links I have found about it.

http://en.wikipedia.org/wiki/Fibonacci_number (Thanks to my uncle Kevin, of http://www.CompuMagic.com, for reminding me of this tonight
http://www.beautyanalysis.com/ (Ever wonder exactly why someone like Natalie Portman looks so beautiful? It's in her PHI. Beauty is in the PHI of the beholder. Watch this web site's presentation to understand how it works!)
http://goldennumber.net/
http://www.goldenmuseum.com/
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi.html
http://www.cs.wfu.edu/~burg/papers/DancingWithFractals.pdf
http://www.dchaos.com/spiral.html

Something you may not know is that Google Calculator will spit out the Golden Ratio if you just type "phi" as your search term: http://www.google.com/search?q=phi&start=0&ie=utf-8&oe=utf-8&client=firefox-a&rls=org.mozilla:en-US:official

To summarize the Golden Ratio, just follow this simple sequence:

0,1,1,2,3,5,8,21,34,55,89,144,233,377,610,987,1597

Now, if you divide successive terms the average approaches the decimal 1.618

What is so amazing about that? Everything. It's simple and pervasive in nature. 

How does it apply to different fields of study?

Horticulture:
The proportion of PHI appears all over in plants in their natural growth patterns. It's also used in designing visually appealing gardens.
Graphic Design:
The Fibonacci Sequence is a fundamental concept for creating visually appealin graphics of well-balanced proportions.
Human Anatonmy:
The human body exhibits very logical PHI-proportions. In fact, plastic surgeons use "Golden Ratio masks" to exhibit the "perfect face". You can see all about this on this web site: http://goldennumber.net/face.htm
Computer Programming:
Computer science courses use computing the Fibonacci sequence as an exercise in recursive programming. It is also involved in fractals.
Another interesting application is Fibonacci math applied to dance performance:
http://www.cs.wfu.edu/~burg/papers/DancingWithFractals.pdf

 

Returning to the 1.618 ratio and the golden sequence, when you elect to plot these ratios on paper, you get a shape like this:

image

This looks suspiciously like a shell's growth pattern:

image

It's also similar to the growth pattern of spiral galaxies and hurricanes!

image

So, math and patterns like this are everywhere! Studying the universe leads to discoveries like this that make it both comprehensible and mysterious.

You can also see the Fibonacci Sequence growth pattern in the proportions of the human body:

image

And in the beautiful facial proportions of Natalie Portman:

image

Or, if you're a woman reading this, perhaps George Clooney is more your style?

image

Maybe you had Frosted Flakes for breakfast and like tigers:

image

Or in the proportions of your fingers:

image

Maybe you like famous artwork, but couldn't quite pinpoint what makes it seem so beautiful:

image

While I have not seen any evidence of "The Golden Ratio" in ordinary popular dances, there was a specific effort to employ math and dance at Wake Forest University. Read all about it here in "Dancing With Fractals":

http://www.cs.wfu.edu/~burg/papers/DancingWithFractals.pdf

I have observed the beauty of many dance patterns, and the most exciting parts are always the turns and spins, as evidenced by the following videos:

Magna Gopal spinning dozens of times:

Jimmy Rumba and Magna Gopal dancing and turning and spinning all over the place:

Others have done much more than I could hope to do to explain how this ratio is found in nature.

So, watch and learn:

  

More math Resources

Great inspirational math posters: http://www.johnny-lin.com/posters.html#math
Amazing "Powers of 10" applet: http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/
Math world: http://mathworld.wolfram.com/

Inspirational math posters

January poster: Maths<br />Counts

February<br />poster: Maths<br />Counts

March<br />poster: Maths Predicts

April poster: Maths is<br />Cool

May <br />poster: Maths Hots Up

June poster: Maths Connects

July poster: Maths Evens the Odds

August poster: Maths Takes Off

September poster: Maths is Vital

October poster: Maths Breaks the Code

November poster: Maths Makes Waves

December poster: Maths is For Ever

 

Monday, June 11, 2007

Book Club Review: God is Not Great by Christopher Hitchens

image

After missing last month's meeting, I made it to this one for a very lively discussion of Christopher Hitchens' latest book, God is Not Great: How Religion Poisons Everything. Read about it on Wikipedia here: http://en.wikipedia.org/wiki/God_is_not_great.

There is no shortage of commentary on Amazon or anywhere else about this book, so I need not recount its basic premise. It is the most recent in a series of critiques of religion in the line of works by Sam Harris, Richard Dawkins, Daniel Dennett, and Victor Stenger.

What original can I say about this book? I suppose not much. I am not in Hitchens' "target audience" in that I am not a religious believer, so there was no hope in making me question my own faith. Yet, I couldn't see how a religious person would be motivated to read this book.

I appreciate the conscious-raising that outspoken atheists are doing right now, yet I feel like the term "atheism" is meaningless. Everyone is an atheist with respect to Zeus. Well, Mr. Deity believes in Zeus, but besides him, we are all atheistic regarding some particular "god". It makes no sense to broaden the question by expanding the definition of "god" to be a "higher power" or "a supreme intelligence", because you always run into the same questions that result in an infinite regress.

While nothing in this book strikes me as startling or new to my mind, he made some observations about the ascendancy of Islam and how it has yet to undergo a major "reformation", which is of course common knowledge, but he also brings up Karen Armstrong's A History of God and her assessment of Islam's place in history as the last of the "revealed" religions and how it could be seen as restoring confidence to Arabs who may have felt that revelation had come to the Christians and the Jews, but not yet to them.

Hitchens said that Mohammed was prone to getting revelations at opportune times, and one of the club members tonight mentioned the "God center of the brain", which made me think of V.S. Ramachandran's work with temporal lobe seizures and how his work was mischaracterized by the press as providing evidence for a "God center".

In the following two video clips, Ramachandran speaks with a patient with brain damage who begins to have extreme religious feelings and cosmic feelings of unity with all things, seeing even a grain of sand as important as his father standing next to him. He even harassed his neighbors by proclaiming himself to be God!

Dr. Ramachandran has done some amazing work with patients with brain damage. Visit Ramachandran's Notebook to learn more about his work and how he has helped many people with his creative thinking and problem solving skills:http://www.pbs.org/wgbh/nova/mind/notebook.html 

What is very interesting in this first video is about how the young man feels a lot of pain over very distant events and wrongs to other people.

Related Recent Books:

Daniel Dennett: http://en.wikipedia.org/wiki/Breaking_the_Spell

Sam Harris: http://en.wikipedia.org/wiki/The_End_of_Faith

Richard Dawkins: http://en.wikipedia.org/wiki/The_God_Delusion

Victor Stenger: http://www.amazon.com/God-Failed-Hypothesis-Science-Shows/dp/1591024811

Other Related Books:

Karen Armstrong: http://en.wikipedia.org/wiki/A_History_of_God

V.S. Ramachandran: http://www.amazon.com/Brief-Tour-Human-Consciousness-Impostor/dp/0131486861

Shift Happens

My buddy Kevin sent me this video tonight. I thought it was incredible to comprehend, and a bit overwhelming!

 

Sunday, June 10, 2007

SilverLight Surface Demo Adaptation

David Anson created a SilverLight based Surface demo to emulate Microsoft's new Surface product. The demo was very compelling and gave me an idea for an application I have been wanting to create. Check out his blog for more information about his demo and to download the code.

http://blogs.msdn.com/delay/archive/2007/06/01/silverlight-surface-demonstration-silverlight-implementation-of-surface-s-photo-table-ui.aspx

His application looks like this:

Silverlight

My Adaptation Idea

The idea I have is to create an application that lets people import photos from a third-party service or through an upload interface and then attach annotations or perhaps attach video clips or audio notes to the photos. The first purpose for this application will be to use it as another way showcase my great-grandmother's artwork.

I would like to figure out a way to make it so that people could create collage images and then save the image and print it as a poster, similar to what you can do with Picasa or other on-line photo editing tools like the ones that use Flickr images.

I also want to use the idea as part of a presentation I started to author aimed at educating middle or high school aged students about career opportunities in information technology. The URL for the first draft of that is http://www.ultravioletconsulting.com/Default.aspx?tabid=94

In order to make that demonstration optimally compelling, I'd like to integrate this application with the new Facebook API so that students could import images from friends' shared photo albums and then attach the comments and annotations using the application.

I could not get the Facebook DLL to comply with the compile under Orcas because it was asking for the 2.0.0.0 System DLL while Orcas and SilverLight are using .NET 3.5.

Does anyone have any ideas on how I could get it to work?

Progress So Far

The original code had a hard-coded set of images. I found that I could not read files on the drive due to Sandbox restrictions, so I made a small local web service and created a proxy to it.

The web service code is very simple, but the key is using the ScriptService attribute so that it is consumable using JSON from SilverLight.

using System
using System.Data;
using System.Linq;
using System.Web;
using System.Collections;
using System.Web.Services;
using System.Web.Services.Protocols;
using System.ComponentModel;
using System.Web.Script.Services;

using System.IO;

namespace GetFilesService
{
    /// <summary>
    /// Summary description for Service1
    /// </summary>
    [ScriptService]
    [WebService(Namespace = "http://tempuri.org/")]
    [WebServiceBinding(ConformsTo = WsiProfiles.BasicProfile1_1)]
    public class Service1 : System.Web.Services.WebService
    {

        [WebMethod]
        public string[] GetFiles()
        {
            string dirName = @"C:\Documents and Settings\Josh\My Documents\My Sites\CarolaArt\ImagesAll\";
            DirectoryInfo di = new DirectoryInfo(dirName);
            FileInfo[] files = di.GetFiles();

            System.Collections.Generic.List<string> fileNames =
                new System.Collections.Generic.List<string>();

            foreach (var file in files)
            {
                string name = file.Name;

                if (name.ToLower().EndsWith(".jpg"))
                {
                    fileNames.Add(name);
                }
            }

            return fileNames.ToArray();
        }
    }
}

Next, I changed the load method to pull the file names from the web service call instead of a local array. This results in this huge stack of photos:

image

Then, I added that little "Tile Pictures" button by adding the SilverLight Controls project. After adding a few convenience properties to the Photo class, I added this buggy event handler to the code to make them tile:

    public void OnClick(object sender, EventArgs e)
    {
        double width = Width;
        double height = Height;

        int numPics = _photos.Count;

        // calculate block size in terms of number of images
        double area = width * height;

        double blockSize = area / numPics;

        // get square root of the given area
        double side = Math.Sqrt(blockSize);

        double startX, startY;
        startX = startY = 0.0d;
        foreach (var pic in _photos)
        {
            pic.Width = side;
            pic.Height = side;
            pic.X = startX;
            pic.Y = startY;
            pic.Angle = 0.0d;

            startX += side;
            if (startX >= width)
            {
                startY += side;
                startX = 0;
            }
        }
    }
}

I am a total SilverLight / WPF newbie, so I'm not really sure what I need to do here to correctly achieve this, but this is a basic start so far.

Here is what the semi-functional tile function does so far. It is not really setting the width and height of the photo properly. I need to do what with Scale somehow.

image

6/12/2007 Update

Here is a screen shot of a small update.

image

I added these properties to the Photo class to get the computed pixel width in accordance to the current scale transform:

public double ActualHeight
{
    get
    {
        return _root.Height;
    }
}

public double ActualWidth
{
    get
    {
        return _root.Width;
    }
}

public double ScaleHeight
{
    get
    {
        return ActualHeight * _scaleTransform.ScaleY;
    }
}

public double ScaleWidth
{
    get
    {
        return ActualWidth * _scaleTransform.ScaleX;
    }
}

Friday, June 8, 2007

Letter from the Congo in 1969 Written by My Great Grandparents

The following scans are of a letter typed by my great grandfather and great grandmother when they lived in Africa during the late 1960s and early 1970s. This letter was stuffed inside of a journal labeled "Our Congo Years 70 - 71" that my great grandmother sent to us for us to scan and transcribe into typed text for our family. I am so fortunate to have these letters and journals and this opportunity to do this.

My goal is to finish scanning the journals and letters and post them on Carola's web site at http://www.CarolaGough.com. I've also included a collage that contains thumbnails of about 100 of Carola's paintings which she has painted throughout her life. She and my great grandfather Elmo Eugene were married for 65 years.

Carola recently turned 96 and resides in California near her son and grandchildren. You can visit her 3D art gallery in Second Life by visiting her web site and clicking on the SLURL link to "teleport" into Second Life.

Click an image to view the larger version.

Congo%20Years%20069

Congo%20Years%20070

The first page mentions their trip from Belgium into Africa and a $649 camera they bought. I do not even know what that would cost in today's dollars! He also mentions a water tank he built when he was there in 1965 as part of a work team that everyone still appreciated very much. He mentions the city they stayed in, Lubumbashi (called Elizabethville by the Belgians). Wikipedia has more information about the city.

Congo%20Years%20071

CarolaCommitment

It would be awesome to visit there someday. Maybe I could help some youth with computer and programming skills. When I worked at the Centers for Disease Control and Prevention I met a lot of people who had spent some time in Africa helping prevent disease and educate people about the causes of disease. Sadly, some people still believed that disease came from evil spirits, demons, curses, or just spontaneously. The public health practitioners from CDC had to educate them about the germ theory of disease that we all take for granted in western nations.

Thanks to Anton Van Leeuwenhoek, who first observed microorganisms through a microscope, we have since developed the modern science of microbiology which has enabled many of us to rest comfortably. How many of us think twice about the usefulness of washing our hands? We just do it.

I am constantly amazed at the wonders of science that are revealed through the human ability to question assumptions and investigate the natural world which leads to such discoveries.

Here is a quote from the Wikipedia entry about the germ theory of disease:

"Science proceeds by the death of scientists", and although Pasteur's demonstration essentially solved the question, the germ theory was not universally immediately accepted. The germ theory of disease was a theoretical foundation of epidemiology, the development and use of anti-microbial and antibiotic drugs, further vaccines after the empirically derived one for smallpox, hygienic practices in hospitals, and public sanitation. The germ theory provided a rationale for some existing practices and enabled others to be established.

I remember being a little kid with a toy microscope given to me by my family and looking at all the paramecia and amoebas floating around in the droplets of puddle water. It was like another universe.

Here is a web site that educates about the history of the germ theory of disease:

http://germtheorycalendar.com/GridWithNotes.aspx

Additional Information

Here is an excerpt from the Wikipedia entry about the city:

The Belgians founded the city of Élisabethville (sometimes Elizabethville, both in French, or Elisabethstad in Dutch) in 1910. The city prospered with the development of a regional copper mining industry.

Miners in Élisabethville conducted a strike in December 1941 to protest the increasingly severe forced-labor regime that the Belgians imposed on the population, because of the "war efforts".

The Belgians established the University of Élisabethville in 1954-1955 (now the University of Lubumbashi). In municipal elections in December 1957, the people of Élisabethville gave a vast majority to the Nationalist Alliance de Bakongo, which demanded immediate independence from the Belgians.

Élisabethville served as the capital and center of the secessionist independent state of Katanga during the bloody 1960-1963 Congolese civil war. Moise Tshombe proclaimed Katangan independence in July 1960. Congolese leaders arrested him and charged him with treason in April 1961; however, he agreed to dismiss his foreign advisers and military forces in exchange for his release. Tshombe returned to Élisabethville but repudiated these assurances and began to fight anew. United Nations troops opposed Katangan forces and took control of the city in December 1961 under a strong mandate.

Mobutu Sese Seko ultimately assumed power and renamed Élisabethville "Lubumbashi" and, in 1972 renamed Katanga "Shaba."

Congo entered another genocidal civil war in the 1990s. The Alliance of Democratic Forces for the Liberation of Congo rebels captured Lubumbashi in April 1997. Rebel leader Laurent-Désiré Kabila spoke from Lubumbashi to declare himself president of the Democratic Republic of the Congo on May 17, 1997 after Mobutu Sese Seko fled Kinshasa.

When Laurent-Désiré Kabila decided to appoint a transitional parliament, in 1999, a decision was made to install the Parliament in Lubumbashi, in order to consolidate the fragile unity of the country. The parliament was installed in the building of the National Assembly of secessionist Katanga, which had its capital in this city as well, in the 1960s. Lubumbashi was therefore the Legislative capital of the Democratic Republic of the Congo from 1999 to 2003, when all the countries central institutions were brought back to Kinshasa.

Wikipedia also links to this worthy organization that aims to help the youth in the city:

http://www.fondationmaisha.org/

History of the Fondation Maisha

The history of the Foundation Maisha began in 1995. In the region of the city of Lubumbashi, in the southeast of the Democratic Republic of Congo, the youngsters who had ended their professional training had difficulties to find a decent job. These young people, often children of the street, have to conquer various kinds of problems to return in society and to be self-providing: there is corruption, the labour-contract must be accomplished in an honest way to avoid exploitation, and the global situation of Congolese economy is not dazzling at all... All these difficulties prevent the young persons, even those with a professional certificate, from finding a job easily. 

It is for this reason that some nondenominational volunteers, under the supervision of Rev. Father Johan Vanden Bussche, a Belgian Salesian father, organized to help these young persons. The objective of this commitment was that the young persons cannot come back from time to time to beg funds from their teachers (Salesian fathers), but that they become self-providing with assistance of volunteers, with organizational, moral and professional assistance. 


Some months later, the idea of putting the young persons in different agrarian centres was born under the initiative of the father Johan and Jean-Claude Mulolwa. The first groups of qualified youngsters were allocated in Dilanda and in Kamakanga. 

During all this time, nothing was really organized to follow the evolution of these young persons of the street who are ending their studies in the professional centres of "Oeuvres Maman Marguerite". These are educational centres situated in the wider region of Lubumbashi. The students learn there agriculture or professions such as carpenter or welder. A glimpse of all the Oeuvres Maman Marguerite can be found www.omm.be. 

During his visit to Lubumbashi, the Governor of West Flanders, Mister Paul Breyne became very interested in the future of young persons of the street after their formation in the professional centres. In other words: what do these young people accomplish in their life after their formation? So, Mr Governor, after having investigated 70 of these young persons in different areas of formation, he wrote his "Humble Ideas. 
In these recommendations, he writes: 

"It is perhaps necessary to take an initiative to follow this category of young persons closely. Anyway it would be opportune to augment efforts to keep in touch with these young persons, to collect their addresses (as many as possible), and to organize every now and then meetings or other initiatives to which they would be invited. "


After several days of meetings, cogitation and gatherings, "Fondation Maisha" (Maisha = Swahili for "life ", foundation has a double signification here; foundation because it is an organization but also because foundation Maisha helps young persons to consolidate the foundations of their life) was founded. 

The following remarks were determined:

► The young finalists are for most children from the street who were left by their families or frankly they do not have family.

► After their formation, the young finalists are in the impossibility of finding a job.

► A majority of young persons who leave the centres, go back to the city without doing anything and lead a life of misery, in spite of their efforts.

► There is more chance for most young persons to regain to the street to survive than to stay in the city to suffer again.

► The objective of the foundation Maisha will not be attained if the young persons, for whom it got involved, to guarantee them a better future, go back to the street.

Thursday, June 7, 2007

You Have Five Minutes to Surrender: Robophobia is Here

Robots

Robots

Killer robots

Robophobia

Robot..wants to kill me!

RO-BO-PHOBIA

A new generation of killer robots

Robots would have no existence without humans

 

The Geminoid android....LIVES

A Japanese professor of robotics has created an android that has real hair and even breathes like a human being:

The Eternally Curious Carl Sagan

This essay is included in my book. Here is a video of my taking a tour of the Carl Sagan Pavilion in Second Life while reading the essay aloud: 

  

Click a book cover to see its Amazon.com page.

image  image  image  image

Sagan describing how the Earth and every living thing is made of "star stuff", a beautiful and poetic tribute to the majesty of natural evolution: 

 

Sagan speaking about the lost Library of Alexandria, the forgotten halls of collected wisdom that was destroyed:

I also mention Neil deGrasse Tyson in the video, the man who gave Sagan's eulogy and is doing an excellent job as his successor. Click an image for more information.

image  image  image

Neil deGrasse Tyson humorously debunks "intelligent design": 

Neil deGrasse Tyson described the retreat of "god" from cosmology over the centuries: 

Neil deGrasse Tyson describing how he grew up as a "nerd who could kick your butt", and about how much he learned about science as a kid, but ultimately learned about compassion and humanity through art: 

 Part II of above. This guy is not only brilliant, he is hilarious: 

 

Essay Text

The bounds of my curiosity and creativity were stirred time and again by Carl Sagan's Cosmos series on public television. My uncle would sit down with me and watch the program whenever it came on when it first ran. Later, he would rent episodes when I was older. Now, both of us own the DVD collection. This program, more than anything I learned directly in school, expanded the boundaries of my mind and made me aware of the very long history of scientific discovery, the majesty of outer space, and the mystery of organic life on our planet. I can remember laying in bed in the morning, looking out the window at the tree branches swaying in the breeze and perplexing my mind with questions like, "What if nothing ever existed?" To paraphrase Albert Einstein:

It was a thought that my mind could not grasp.

Trying to think it left my mind fixated on attempting to conceptualize "nothing" for a second or two, before thoughts would jump forth and ruin the entire mental experiment, much to my dismay. A few years ago, my mother gave me a copy of Sagan's 1996 book "The Demon Haunted World: Science as Candle in The Dark." Sagan wrote this book on his death bed in an attempt to awaken Americans from their growing credulity and willingness to accept inadequate evidence for extravagant claims about physical reality. This book shook me awake during a turbulent time. Reading his elegant, respectful, and learned prose felt like a good friend watching me doze off and just coming up behind me and shaking my shoulder and saying, "Come on man, wake up, we've got work to do." And so we do.

Respect for People Seeking Truth, Criticism for Beliefs
Sagan has a new book on shelves now, ten years after his death. The book is entitled "The Varieties of Scientific Experience: A Personal View of the Search for God". The book is named after William James' famous "The Varieties of Religious Experience" published after he was invited to give the Gifford Lectures. I have just completed reading Sagan's new book and enjoyed it very much.

As an author and a speaker, I can't recall Sagan ever acting as a stubborn dogmatist. Instead, he was a true scientist who kept his ideas and his mind open for revision. Along with that, what I remember most now, more than 25 years after watching his Cosmos series initially and 10 years since his death, are his kindness, elegance, unparalleled intellect, and extremely approachable personality.

Rarely did he speak explicit ill of ancient, outmoded or disproved cultural and traditional beliefs, but instead sought understanding first. Achieving that, he would attempt to extract some kind of lesson or symbolic meaning from them, all while continuing to stand tall and steadfastly on the side of patient scientific inquiry and reverent agnosticism. This respect that he had for people who sought truth did not compel him to place all claims to truth on equal footing. He was respectful to belief-holders even while disagreeing with and dismantling their stated beliefs, sometimes before their very eyes. To be able to do this consistently as he did while never intentionally belittling the belief-holder is no small accomplishment.

Patience with People
Some scientists are criticized for having a narrow focus of knowledge, and this can sometimes make them come across as impatient or incredulous with the lay public that doesn't understand their subject as well. But, Sagan was not like that in his interaction with the public. He recognized that in order for them to be interested in what he had to say then he had to be interested in what they chose to ask. After all, does not every human being, along the way to running a marathon, first have to learn to stand and walk? Sagan was able to look at each individual in this light. He correctly recognized that a question that may be trivially easy for him or another astronomer or scientist to answer was obviously not trivially tp figure out by the person asking, since if it were it would not have been asked.

In "The Demon Haunted World" and "The Varieties of Scientific Experience" he expands his criticism of beliefs formed by credulity and for supernaturalistic explanations for phenomena in the world. All he did was ask for evidence of claims. That is it. And, of course, that is what science itself boils down to. Science must be open to revision and modification when new ideas, hypotheses, experiments, and eventually theories come along that lay waste to previous scientific models. Scientists attempt to reach for truth, but recognize that they may never have an absolute grasp of it.

This reaching uncertainty is embodied in the idea of falsifiability, or the idea that for an hypothesis to be scientific then it must be logically possible to produce evidence to prove that it is false. I cannot disprove the contention that an invisible dragon created the earth. This does not mean it's likely that such an event took place. This way of thinking about the world, since the days of Copernicus, has put many a people like Sagan at odds with the dogmatist religious leaders of the world. It has lead to the forced excommunication, ostracization, and even death of many.

The dogmatist knows all the answers. He or she accepts no criticism and opens no ears. Merely questioning the dogmatist amounts to overt and intolerable criticism ipso facto in his or her mind. The dogmatist listens to no questions and throws all criticism to the scrap heap.

The true scientist has more questions than answers. He or she explicitly seeks criticism and opens ears to others. Strong questions about the scientist's ideas afford opportunities to confirm or deny their validity. The scientist must accept questions and readily understands that he or she may be forced to throw cherished ideas to the scrap heap.

Sagan was a true scientist. He was a man who admitted ignorance. He was a man who outright admitted, time after time, that he did not know everything. He was a man who invited those around him and the audiences who read his books or watched his programs to join him on their own intellectual journeys of discovery. He invited them to join in conversation. Unlike the dogmatist, he had his ears open and was changed by the words of his friends, colleagues, and detractors alike. The fundamentalist dogmatists, whether they be televangelists, new age gurus, political pundits, or even other scientists, keep trotting out their old lines, day after day, week after week, condemning questioners as "ungodly", "ignorant" or "unenlightened". He strongly criticized fundamentalist interpretations of Christianity that revere the Bible as a document that is absolutely true with every syllable dictated by the creator of the universe.

Yet, the scientist, like Jesus Christ of the Gospels, continually questions the establishment.

Sagan was a man who was not afraid to reveal to the world the wonders and the joys of scientific discovery which would force people to question their assumptions and beliefs. He had to stand up to some powerful and vocal detractors and take some heat to do so in some cases, but he had a faith of his own. His faith in this case means "belief held with strong conviction". He believed that by educating the public with the message of science and discovery that he could help change the future for the better. More importantly, he sought to educate people in critical thinking, teaching them to use their minds to employ the "baloney-detection kit" power tools of juxtaposition and analogy to reason and think through extravagant claims made by other people.

The dogmatist instructs people on what to think, but doesn't teach them how to think for themselves. People like Sagan try to show people how to go about thinking about things by using critical thought. They encourage people to think for themselves.

Thank you to my family for giving me the opportunity to think for myself and thank you to scientists and Carl Sagan for your continued efforts at reaching toward truth even as it remains every slightly just out of reach.