Their world views are so radically opposed that at times the two men seem unable to acknowledge each other as human.
However, it is the contenders' world views which really matter here.
Trying to change attitudes, values, and world views through lecturing was one of the few things that provoked my mild mannered Georgian mentor to abject apoplexy.
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The extremists, Waller noted, while committed to the overthrow of the Western social order, have to come to grips with the fact that they each have drastically different world views.
Not only are candidates hearts racing, so are political junkies chomping at the bit, wondering if the world views they hold dear are approved by the masses, sending their man, or woman, to Washington.
And how similar our rational world views!
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"It's very important that Libya knows that how the Libyan government handles itself in the next few days will be very significant in the way the world views Libya's re-entry into the civilised community of nations, " Mr Miliband said.
The extent to which these represent two surprisingly distinct world views was emphasized by the impassioned and quite different responses I received in response to a recent post examining how the use of cheaper but slightly worse drugs should be prioritized by physicians and payors.
The surprise success of Slumdog Millionaire, which could win the Oscar for Best Picture, not only draws attention to the rich film culture of India's Bollywood but also reflects a profound change in the way the world views the film's key supporting character: the slum itself.
"I think people with positive views can change the world, not those with negative views, " he said.
With a major two-lane highway running through it, Mikumi National Park might be one of the only places in the world to offer views of wild animals and grassy savannahs for the price of a bus ticket.
Vojislav Kostunica, the man who succeeded Mr Milosevic as president of Yugoslavia, strongly opposes any suggestion that his predecessor should be sent to The Hague, and since he is a long-standing democrat in a not very democratic part of the world, his views deserve a hearing.
Richard Saperstein is a bond dealer who views his world in terms of blowups.
It has already jumped up magazine rankings and attracted visitors from around the world with its spectacular views.
Each of these disciplines views the world differently, brings different techniques and, hence, illuminates the data in different ways.
The first-person narrative deftly captures the mixture of horror, fascination and detachment with which a child views the world of grown-up folly.
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For us, developing truly resonant and persuasive messaging requires understanding how your audience views the world and constructing messages that fit within that worldview.
Travelers need no longer shun one of the world's best views.
Both the geocentric and the heliocentric views of the world were accurate, consistent and simple.
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Especially when it comes to ideas or information that threatens our deeply held views of the world.
His company now employs more than 40 people and its movies attract over 2.5 million views around the world each week.
As a result, plane spotters get one of the world's closest public views of giant airliners as they take off and land.
In June we'd have been treated to spectacular views of the world's deepest lake, but it was September and the sun had set 90 minutes earlier.
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C. to the 16th century, it provides an almost infinite array of perches and areas from which to take in some of the world's most breathtaking views.
Macroeconomists should take models for what they are: simplified views of the world that help us think about a complex issue, but are not true representations of the complexity itself.
But in 2012, at a time when anyone with a cell phone can spread offensive views around the world with the click of a button, the notion that we can control the flow of information is obsolete.
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Britten's personal sense of alienation was a natural outcome of his life as a homosexual in a society that criminalized this, but it also arose from his views of a world in which all sorts of injustice reigned.
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