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Vanguard Group Chairman F. William McNabb told Bloomberg News last week that he thinks the U.S. stock market is "getting pretty close" to irrational prices.
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Which word is closest to IRRATIONAL? (i) intransigent, (ii) irredeemable, (iii) unsafe, (iv) lost, (v) nonsensical.
We have noted that the proportion between stance and swing phase is close to ϕ, an irrational number (about 1.618034) already known in ancient Greece as "golden ratio" [ 18].
Not by all of them, however: Pace Cowen, I do think that portions of the pro-shutdown wing of the G.O.P. are irrational or close to it, in that they genuinely believe that a shutdown could lead to the White House simply surrendering and defunding its own domestic policy centerpiece – a belief that I would describe as a straightforwardly reason-defying point of view.
This is because every real is a limit point of rationals; so for every point \(P\) with one or both co-ordinates irrational, there are points arbitrarily close to \(P\) with both co-ordinates rational; so no gaps would appear if irrational points were removed from the curve for \(x^2- 2\) in the reals.
If you look at the ratios of two successive Fibonacci numbers, and keep going up the sequence, you get: 1, 2, 1.5, 1.667, 1.6, 1.625, 1.615, 1.619, 1.618 … As you go up the sequence, this ratio gets closer and closer to a famous irrational number called the "golden ratio": 1.6180339887.
To many students, the Indian is everything that technological man is not: the Indian is close to nature, he lives in a Rousseau-like simplicity, he is "irrational," and he is allowed the luxury of his own mysticism.
Rather, those close to her say, if she had any trouble understanding, it was because as a trained physicist — a rational scientist — she was initially perplexed by the emotional and at times irrational nature of market swings.
One woman reported "just tears so close to the surface that anything would, I would just fall apart, and not just, it's not that sad, but it's almost irrational".
Men are stereotypically thought to be more rational and logical, less emotional, more civilized and thus more fit for public life, while women are thought to be more emotional and irrational, closer to nature, more tied to their bodies and thus less fit for public life.
To be closed to it, frankly, is irrational, because we can have no rational basis for claiming that there's nothing beyond this world.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com