Gödel's Loophole
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Gödel's Loophole is a supposed "inner contradiction" in the
Constitution of the United States The Constitution of the United States is the Supremacy Clause, supreme law of the United States, United States of America. It superseded the Articles of Confederation, the nation's first constitution, on March 4, 1789. Originally includi ...
which Austrian-American logician,
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, and
analytic philosopher Analytic philosophy is a broad movement within Western philosophy, especially English-speaking world, anglophone philosophy, focused on analysis as a philosophical method; clarity of prose; rigor in arguments; and making use of formal logic, mat ...
Kurt Gödel Kurt Friedrich Gödel ( ; ; April 28, 1906 – January 14, 1978) was a logician, mathematician, and philosopher. Considered along with Aristotle and Gottlob Frege to be one of the most significant logicians in history, Gödel profoundly ...
postulated in 1947. The loophole would permit America's republican structure to be legally turned into a
dictatorship A dictatorship is an autocratic form of government which is characterized by a leader, or a group of leaders, who hold governmental powers with few to no Limited government, limitations. Politics in a dictatorship are controlled by a dictator, ...
. Gödel told his friend
Oskar Morgenstern Oskar Morgenstern (; January 24, 1902 – July 26, 1977) was a German-born economist. In collaboration with mathematician John von Neumann, he is credited with founding the field of game theory and its application to social sciences and strategic ...
about the existence of the flaw and Morgenstern told
Albert Einstein Albert Einstein (14 March 187918 April 1955) was a German-born theoretical physicist who is best known for developing the theory of relativity. Einstein also made important contributions to quantum mechanics. His mass–energy equivalence f ...
about it at the time, but Morgenstern, in his recollection of the incident in 1971, never mentioned the exact problem as Gödel saw it. This has led to speculation about the precise nature of what has come to be called "Gödel's Loophole." It has been called "one of the great unsolved problems of constitutional law" by American constitutional law scholar John Nowak.


History

When Gödel was studying to take his American citizenship test in 1947, he came across what he called an "inner contradiction" in the U.S. Constitution. At the time, he was at the
Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
in
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, where he was good friends with Albert Einstein and Oskar Morgenstern. Gödel told Morgenstern about the flaw in the constitution, which, he said, would allow the U.S. to legally become a
fascist state Fascism ( ) is a far-right, authoritarian, and ultranationalist political ideology and movement. It is characterized by a dictatorial leader, centralized autocracy, militarism, forcible suppression of opposition, belief in a natural social ...
. Morgenstern tried to convince Gödel that this was very unlikely, but Gödel remained very concerned about it. He was an
Austria Austria, formally the Republic of Austria, is a landlocked country in Central Europe, lying in the Eastern Alps. It is a federation of nine Federal states of Austria, states, of which the capital Vienna is the List of largest cities in Aust ...
n by birth and, having lived through the 1933 coup d'état and escaped from
Nazi Germany Nazi Germany, officially known as the German Reich and later the Greater German Reich, was the German Reich, German state between 1933 and 1945, when Adolf Hitler and the Nazi Party controlled the country, transforming it into a Totalit ...
after the ''
Anschluss The (, or , ), also known as the (, ), was the annexation of the Federal State of Austria into Nazi Germany on 12 March 1938. The idea of an (a united Austria and Germany that would form a "German Question, Greater Germany") arose after t ...
'', had reason to be concerned about living in a fascist dictatorship. Morgenstern had secret discussions with Gödel about his concerns and told Einstein about them. On the day of the examination some months later, Gödel was driven to the courthouse in
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, by Morgenstern and Einstein, who were to be his witnesses. Both had already taken the test and become naturalized U.S. citizens. At one point during the drive, Einstein, in the front seat, turned to Gödel in the back and—knowing of Gödel's concerns–asked, "Now, Gödel, are you ''really'' well prepared for this examination?" According to Morgenstern, Einstein's purpose in asking this was to rattle Gödel, whose reaction amused him. At the courthouse, witnesses normally remained outside of the room during citizenship examinations, but because Einstein, a celebrity, was involved, and because the judge, Phillip Forman, had administered the oath of citizenship to Einstein, all three men were invited in. During the examination, Forman asked Gödel what the government of Austria was, to which he replied: "It was a republic, but the constitution was such that it finally was changed into a dictatorship." The judge commented that this could not happen in the U.S., and Gödel responded, "Oh, yes, I can prove it"; but the judge declined to pursue the matter.


Nature of the loophole

Since the exact nature of Gödel's Loophole has never been published, what it is, precisely, is not known. In his 2012 paper "Gödel's Loophole" F. E. Guerra-Pujol speculates that the problem involves Article V, which describes the process by which the Constitution can be amended. The loophole is that Article V's procedures can be applied to Article V itself. It can therefore be altered in a "downward" direction, making it easier to alter the article again in the future. So even if, as is now the case, amending the Constitution is difficult to bring about, once Article V is downwardly amended, the next attempt to do so will be easier, and the one after that easier still. Other writers have speculated that Gödel may have had other aspects of the Constitution in mind as well, including the abuse of
gerrymandering Gerrymandering, ( , originally ) defined in the contexts of Representative democracy, representative electoral systems, is the political manipulation of Boundary delimitation, electoral district boundaries to advantage a Political party, pa ...
, prorogation of Congress, the
Electoral College An electoral college is a body whose task is to elect a candidate to a particular office. It is mostly used in the political context for a constitutional body that appoints the head of state or government, and sometimes the upper parliament ...
, and the presidential pardon.Rockmore, Dan (August 6, 2018
"Is There a Logical Inconsistency in the Constitution?
''
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''


Aftermath and reception

Morgenstern's notes on the incident were published only in 2019, so no accounts before that take advantage of his recollections. Morgenstern is obviously incorrect in some details, such as the year of Gödel's citizenship test, which is established as 1947, not 1946, as Morgenstern remembers it. Many versions of the story were published before the release of Morgenstern's notes, and they vary in their details. For instance, in mathematician and science fiction author
Rudy Rucker Rudolf von Bitter Rucker (; born March 22, 1946) is an American mathematician, computer scientist, science fiction author, and one of the founders of the cyberpunk literary movement. The author of both fiction and non-fiction, he is best known f ...
's telling of the story in his 2008 novel '' Mathematicians in Love'', Gödel runs to Einstein with the news and Einstein calms Gödel down. Versions of the story can also be found in ''Logical Dilemmas: The Life and Work of Kurt Gödel'' (1997) by John W. Dawson; ''E: His Life, His Thought and His Influence on Our Culture'' (2006), edited by Donald Goldsmith and Marcia Bartusiak; ''Incompleteness: The Proof and Paradox of Kurt Gödel'' (2006) by Rebecca Goldstein; ''Godel: A Life Of Logic, The Mind, And Mathematics'' (2009) by John L. Casti and Werner DePauli; ''Unconstitutional Constitutional Amendments: The Limits of Amendment Powers'' (2017) by Yaniv Roznai; and ''When Einstein Walked with Gödel: Excursions to the Edge of Thought'' (2018) by Jim Holt, among other books.


References

{{reflist Constitution of the United States Democracy Dictatorship American political philosophy