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"NAVITOR" - 5 new articles

  1. The Genius of J.S. Bach's "Crab Canon" Visualized on a Möbius Strip | Open Culture
  2. Free to Choose
  3. The Worst Day in History
  4. The Collapsing Obama Doctrine
  5. Obama’s Criminal Negligence in Iraq
  6. More Recent Articles
  7. Search NAVITOR
  8. Prior Mailing Archive

The Genius of J.S. Bach's "Crab Canon" Visualized on a Möbius Strip | Open Culture


Wonderful! Bach was, after all, the greatest jazz musician ever to have lived...T





The most impressive of Johann Sebastian Bach’s pieces, musicophiles may have told you, will knock you over with their ingeniousness, or at least their sheer complexity. Indeed, the music of Bach has, over the past two and a half centuries, provided meat and drink to both professional and amateur students of the relationship between ingeniousness and complexity. It’s no mistake, for instance, that the composer has offered such a rich source of intellectual inspiration to Gödel, Escher, Bach author Douglas R. Hofstadter, well beyond having given him a word to fill out the book’s title. Listen to the first canon from Bach’s Musical Offering, and you’ll hear what sounds like a simple beginning develop into what sounds like quite a complex middle. You may hear it and instinctively understand what’s going on; you may hear it and have no idea what’s going on beyond your suspicion that something is happening.


If you process things more visually than you do aurally, pay attention to the video above, a visualization of the piece by mathematical image-maker Jos Leys. You can follow the score, note for note, and then watch as...

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Free to Choose

The greatest economic mind of the 20th century, Milton Friedman. Here is his entire TV series on PBS, "Free to Choose", taken from his book of the same name, that became the intellectual foundations of the Reagan ( and Jack Kemp) Tax cut bill that saved our nation in the early 80's. Without Mr. Friedman, it is questionable that there would even have BEEN a Reagan presidency. God bless him! Watch them all via the link below...T

http://miltonfriedman.blogspot.com/

Here's one sample. Please watch them all!...T


    

The Worst Day in History

Deutsch: Bildnis Franz Ferdinand, Erzherzog vo...

How could anyone disagree? the onset of WWI destroyed European classical culture for all time. What we were left with was depression, racism, eugenics, Fascism, Socialism, "Progressivism" and Communism. Not to mention WWII, The brutal repression and mass murders of the cold war, and 100 years of neglecting, or forgetting to deal with Islam...T



A hundred years ago today, June 28, 1914, was arguably the worst day in human history. Not that anything so awful happened during those 24 hours, but the assassination in Sarajevo of the heir to the Hapsburg throne by a 19-year-old Bosnian Serb nationalist, Gavrilo Princip, initiated a series of events that led to not just the horrors of World War I but arguably also those of World War II as well as the rise to power of the fascist and communist movements.



In brief, that vicious era that historians have dubbed the short twentieth century, 1914-89, with its unprecedented numbers of deaths, of extremist movements, and of general human misery began with the shots that festive summer day. (June 28, 2014)
Full article in new window

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The Collapsing Obama Doctrine

In 1983, President Ronald Reagan said, "If history teaches anything, it teaches that simple-minded appeasement or wishful thinking about our adversaries is folly. It means the betrayal of our past, the squandering of our freedom." President Obama is on track to securing his legacy as the man who betrayed our past and squandered our freedom.


As the terrorists of the Islamic State of Iraq and Syria (ISIS) threaten Baghdad, thousands of slaughtered Iraqis in their wake, it is worth recalling a few of President Obama's past statements about ISIS and al Qaeda. "If a J.V. team puts on Lakers' uniforms that doesn't make them Kobe Bryant" (January 2014). "[C]ore al Qaeda is on its heels, has been decimated" (August 2013). "So, let there be no doubt: The tide of war is receding" (September 2011).

Rarely has a U.S. president been so wrong about so much at the expense of so many. Too many times to count, Mr. Obama has told us he is "ending" the wars in Iraq and Afghanistan—as though wishing made it so. His rhetoric has now come crashing into reality. Watching the black-clad ISIS jihadists take territory once secured by American blood is final proof, if any were needed, that America's enemies are not "decimated." They are emboldened...

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Obama’s Criminal Negligence in Iraq

Barack Obama
Barack Obama (Photo credit: jamesomalley)
Truth.... He has disgraced his office, our nation, and rendered meaningless the sacrifice of thousands of American lives. Men and women who died so that we may live. Shame on you Obama! Shame for all time!!!




President Barack Obama came to office promising to “bring a responsible end to the war in Iraq.” That should have been easy enough to do, considering the war was already over. Alas, he seems to have had in mind something quite different than “ending a war.” Perhaps because of his general bias against exertions of American power, Obama seems to have convinced himself that our continuing military presence in post-war Iraq was the same as continuing the war.



That should have been easy enough to do, considering the war was already over. Alas, he seems to have had in mind something quite different than “ending a war.” Perhaps because of his general bias against exertions of American power, Obama seems to have convinced himself that our continuing military presence in post-war Iraq was the same as continuing the war.

This novel conception of when wars end suggests Obama may yet pull our forces out of Europe and the Far East in order to “end” World War II. It...

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