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Lincoln-Douglas 7 Bridges math problem


Seven Bridges of Königsberg - Wikipedia, the free encyclopedia

Jump to Significance in the history of mathematics‎:
In the history of mathematics, Euler's solution of the Königsberg bridge problem is considered to be the ...

  • Math Forum: Leonhard Euler and the Bridges of Konigsberg

    His work in this field was inspired by the following problem: ... Seven bridges were built so that the people of the city could get from one part to another. A crude ...
  • Konigsberg bridge

    He explained why crossing all seven bridges without crossing a bridge twice was impossible. While solving this problem, he developed a new mathematics field ...

     crossing all seven bridges ..... While solving this problem, he developed a new mathematics field ... BIO-MATH agents

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    Lincoln in New York City the day of his famous Cooper Union speech

    LincolnDouglas debates - Wikipedia, the free encyclopedia

    The LincolnDouglas Debates of 1858 were series of seven debates between Abraham Lincoln, the Republican candidate for the Senate in Illinois, and the ...

     series of seven debates  --> crossing all seven (communications) bridges 


    Seven Bridges of Königsberg

    The Seven Bridges of Königsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler in 1735 laid the foundations of graph theory and prefigured the idea of topology.

    The city of Königsberg in Prussia (now Kaliningrad, Russia) was set on both sides of the Pregel River, and included two large islands which were connected to each other and the mainland by seven bridges.

    The problem was to find a walk through the city that would cross each bridge once and only once. The islands could not be reached by any route other than the bridges, and every bridge must have been crossed completely every time; one could not walk halfway onto the bridge and then turn around and later cross the other half from the other side. The walk need not start and end at the same spot. Euler proved that the problem has no solution. There could be no non-retracing the bridges. The difficulty was the development of a technique of analysis and of subsequent tests that established this assertion with mathematical rigor.

    Seven Bridges of  Illinois

    Seven Bridges of  University of Ill /nois(e)

    Seven Bridges of  University of Chic 

    Euler's analysis

    The only important feature of a route is the sequence of bridges crossed. This allowed him to reformulate the problem in abstract terms (laying the foundations of graph theory), eliminating all features except the list of land masses and the bridges connecting them.

    The Lincoln–Douglas Debates of 1858 were series of seven debates between Abraham Lincoln, the Republican candidate for the Senate in Illinois, and the incumbent Senator Stephen Douglas, the Democratic Party candidate. The debates were held in seven towns in the state of Illinois:
    Ottawa on August 21,
    Freeport on August 27,
    Jonesboro on September 15,
    Charleston on September 18,
    Galesburg on October 7,
    Quincy on October 13,  
    Alton on October 15.


    the Pregel River, and included two large islands which were connected to each other and the mainland by seven bridges.

    Nature adapted the problem to Illinois ....year 1858  .......Leonhard Euler in 1735 laid the foundations of graph theory and prefigured the idea of topology.

     idea of topology and political science topology applications. 

    Two large islands --> Two large  intellectual islands: Abe Lincoln and Stephen  A. Douglas ...... connected thru the Constitution of the United States and their involvement in law, social engineering systems. social philosophy, bio-mathematics  social communications experiments ,etc .

    Here...the seven bridges  are  seven cities/towns   OR  could the

    seven bridges be equivalent to  the highways between the seven towns.

    The towns can be perceived as seven towns  OR does Nature say....

    the groups of towns are like two  islands of thought ( Democratic and Republican).

    Thus we have an interesting  situation ....  a message from Nature about life and thought ...that was expressed in year 1858.

    WHAT IS THE subtle message?



    There seem to be about 2 or 3 models one could construct of Nature's intended  information architecture. 

    The variables  originally presented by NATURE to Euler in year 1735   ....comprised 2 geography islands, a river with water molecules, amd physical  bridges of rock/stone/metal.
    Thus the entire situation involved physical and geography features.  

    Now, we advance 100 years to year 1835+  

    and we have Nature and Charles Darwin explaining physical biology evolution .....

    and we have  Nature / WORLD and it's messenger Arthur Schopenhauer and the book about the living EARTH cell and its thoughts.....tittle "The WORLD and Will and Idea".  ... in modern words .....the periodic atomic table and the forces of gravity and Nature's biochemistry molecules...built humans and thoughts.

    and we have Nathaniel Hawthorne (1843) with the Celestial Railroad ...and mysteries of bio-communications theory,  secret languages,  and streams of consciousness and their PLANS .... and he managed to figure that out and wrote about it

    and we have Charles Darwin's parallel in symbolic life evolutions (words , equations)   
    ...Charles Dickens and IBM bio-computer manual "The Tale of 2 Cities" and extension ... the recent version:   TALES of the TWO Towers of Sept 11,2001

    and we have year 1855 ..Herbert Spencer

    AND  with that background  ...we have Nature's   year 1858 expression.

    Evolution of WIG thoughts to WHIG party to Douglas.

    In the sectional crisis of 1850, Douglas was one of the strongest advocates of compromise. He supported the proposals of Henry Clay, despite their partisan differences (Clay was a Whig)



    277 × 326 - He explained why crossing all seven bridges without 

    After several such incidents, Douglas agreed to seven formal joint appearances, now known as the Lincoln-Douglas Debates.



    364 × 152 - ... connected to each other and the rest of the city by seven bridges.

    Similar  More sizes


    The Konigsberg bridge problem Is the perhaps the best known example in graph theory. It was a long-standing problem until solved by  Leonhard Euler(1907-1983) in 1736, by means of a graph.
    Two islands, C and D, formed by the Pergel River in Konigsberg were connected to each other and to the banks A and B with seven bridges. The problem was to start at any of the four land areas of the city A, B, C, or D, walk over each of the seven bridges exactly ones, and return to the starting point.

    What model might explain NATURE's message.
    First, we position ourselves with the VIEW of   Schopenhauer or

    Henry David Thoreau - Wikipedia, the free encyclopedia

    Henry David Thoreau (July 12, 1817 – May 6, 1862) was an American author, poet, philosopher, abolitionist, naturalist, tax resister, development critic, surveyor...

    Henry David Thoreau (Stanford Encyclopedia of Philosophy)

    Jun 30, 2005 – Henry David Thoreau (1817–1862) was an American philosopher, poet, and environmental scientist whose major work, Walden, draws upon ..

    Thus ......we consider ....... within the context of the philosophy before 1858 ...

    Seven Bridges of Königsberg  and 2 islands

    --> the 1st island shall be the geography island of EARTH and Nature ...that has existed for millions of years  ..... and 
    all the expressions of Nature's thoughts and biochemistry engineering projects: cellulose tress, elephants, etc.  Associated  with this ...is the TREE of Knowledge ...that in year 2012 ...we see displayed in college science textbooks on genetics, molecular cell biology, physics of sunlight,etc. 
    Thus we  have a large gestalt ...a large algebra set ..that encompasses existence.

    --> the 2nd island  shall be the human thought experience of the last several thousand years up to year  1858.   Thus includes theology, religion, economic policy, political science,etc.

    --> the 7 bridges ..then define our bi-directional relationship with Nature  ...... Nature gives us food, materials for shelter, etc ......and return it would like some accurate thoughts about REALITY and the PHILOSOPHY of LIFE.
    The 7 bridges ...include such information data  streams as:

    - Carl Jung atomic collective unconsciousness ...the GROUP MIND...that may eventually arise to the surface of conscious understanding and expression...like a physics student  
    -  subliminal mind levels
    - James Joyce streams of consciousness
    - etc.
    - various levels of   optical nerve thoughts of EYE people that are ignored by society at large ...like basic algebra and basic physic and chemistry VS music/ audio brains of EAR/mouth people
    - modern BIO-MATH ...... such as the year 1858 debates for the year 1860 ....  Base 16 hexadecimal Presidency of the bio-computer United States with Base 16 headquarters at 1600 Pennsylvania Avenue.

    Thus mysteries remain  in year 2012...about the State of Illinois and unsolved problems.
    The LAND of Lincoln --> Lin + col + n --> Line column n --> linear algebra  geography land ...matrix  land  ......with pencil line bridges/ symbolic highways  /information highways  ....  
    What is the status of general awareness in Illinois?

    Mayor Richard Daley from the BRIDGEPORT area of Chicago just ignored the  problem.

    Seven Bridges of Königsberg 

     moves to 

    Seven Bridges of Bridgeport, Chicago.

    Euler's analysis ..... using  math and basic science concepts of year 2012

    The only important feature of a route is the sequence of bridges crossed. This allowed him to reformulate the problem in abstract terms (laying the foundations of graph theory), eliminating all features except the list of land masses and the bridges connecting them.

    The Lincoln–Douglas Debates of 1858 were series of seven debates between Abraham Lincoln, the Republican candidate for the Senate in Illinois, and the incumbent Senator Stephen Douglas, the Democratic Party candidate. The debates were held in seven towns in the state of Illinois:

    Ottawa on August 21, --> O = Oxygen atom  and O= Chicago Circle campus and O = ROC ( Region of Convergence in complex math and signal processing)

    Freeport on August 27 --> Free = degrees of freedom of a math function   Port = Input/output port to one of the 11 - dimensions of string theory 
    Jonesboro on September 15 --> signal for Indiana Jones movie manipulation of  the Dow Jones Industrials 
    Charleston on September 18 --> Charles Darwin and Charleston Street, Chicago.... the Chicago Federal Reserve  Bank .....  BUCK Rodgers  and the BUCK...money for  BUCKTOWN  social economic experiments in real estate  PRICE manipulation

    Galesburg on October 7 --> Galileo astronomy theory of the Prohibition year 1620  and University of Chicago year 1920 astronomy and beer
    Quincy on October 13, 
    Alton on October 15 --> John alton  chemistry atom theory ...that is John Dalton and the speaking bio-physics atoms of Lincoln and Douglas.

    Thus we see some  pieces of a multi-faceted  SECRET puzzle  ....in modern terms ...the relationships about WORD commands printed in the newspaper OR broadcast on television --> commands to millions of people on how to think  and behave.   However, when an ERROR occurs  ....... some shallow explanation is given.