Read "The Golden Ratio The Story of PHI, the World's Most Astonishing Number" by Mario Livio available from Rakuten Kobo. Sign up today and get $5 off your. Wherever his quest for the meaning of phi takes him, Mario Livio urn:acs6: goldenratio00mari:pdffdcaec2-eeb10aef8b RATIO. The Story of Phi, the World's Most Astonishing. Number. MARIO LIVIO. BROADWAY BOOKS port provided by Sofie Livio that this book got written at all.
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The Golden Ratio. Reviewed by George Markowsky. The Golden Ratio. Mario Livio. Broadway Books, Paperback, pages, $ The Golden Ratio and millions of other books are available for instant access. view Kindle eBook | view Audible audiobook .. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal Get your Kindle here, or download a FREE Kindle Reading App. Editorial Reviews. From Publishers Weekly. Most readers will have at least dim memories from The Golden Ratio: The Story of PHI, the World's Most Astonishing Number - Kindle edition by Mario Livio. Download it once and read it on your Kindle device, PC, phones or tablets. Buying and sending eBooks to others.
Popular works[ edit ] For almost twenty years Livio has popularized astronomy and mathematics through books, lectures, magazine articles, and radio and television appearances. Livio's first book of popular science was The Accelerating Universe , which explained in layman's terms the theory that the universe was expanding at a faster and faster rate. He explored the possible causes and the theoretical implications of continuing expansion, especially its implications for beliefs about the "beauty" of the scientific laws that govern the cosmos.
A self-described "art fanatic" who owns hundreds of art books, Livio put this interest to good use in his next book, The Golden Ratio: The Story of Phi He traced the influence of the golden ratio through many centuries of art, architecture , music , and even stock market theories.
Dan Brown , author of The Da Vinci Code , endorsed the book stating, "Livio unveils the history and mystery of the remarkable number phi in such a way that math-buffs and math-phobes alike can celebrate her wonder He also "keeps the hard stuff to a minimum," in the words of a Publishers Weekly review. The book contains biographical sketches of Galois, Abel and several other mathematicians. Is God A Mathematician?
It discusses the uncanny ability of mathematics to describe and predict accurately the physical world. Livio also attempts to answer a question with which mathematicians and philosophers have struggled for centuries: Is mathematics ultimately invented or discovered? And, indeed, George is the one who proposed that; based, mind you, on ideas of previous researchers, such as Daniel Berline and others. So, curiosity, in that case, acts to actually relieve us of the unpleasantness. So, indeed, at least some types of curiosity have this thing that they cause us to have this information gap, and this unpleasant feeling, which we need to remove.
This would be, perhaps, the thing that marketers can do; is generate this information gap. When we get really curious is when we know something about something, but we feel or know that there is much more to be known.
So, the idea is, indeed, to generate this type of information gap. So, these halfalogs they have been called, these half of conversation, it makes us much more curious.
Our brains are trying to fill in the blanks, there, and get more intrigued by that. And they sometimes would even have an image, which it turns out has nothing to do with the actual story.
But, the image acts as a bait as well. But, some friends have told me that.
It is interesting. Something that I found kind of counter-intuitive is that people enjoy uncertainty. It seems more intuitive that people would like being certain about things.
But, why does that seem to actually create a little bit of pleasure in our brains? In most cases, uncertainty is felt as an unpleasant and aversive situation. But, there are some exceptions. And the exceptions are, when you actually know … There is an uncertainty, but you know that the outcome is likely to be a positive thing. There are people who prefer not to know the gender of the child until the child is born.
Because they know that something good is gonna happen, and they like to prolong this uncertainty state, when they know that the outcome is good. They would not be in a good state if, for example, they waited for the results of some medical exam that could prove that they have some horrible disease.
But, when they absolutely are sure that the outcome is a positive one, they may be in a pleasant state, even in the uncertainty.
A similar thing happens with … The US Open is happening now, as we speak. But, even if they won, it takes some of the fun out of it. So, when you absolutely know that the outcome is positive, then you may enjoy the uncertainty state.
Are there any tricks to storytelling that sort of maximize, perhaps, the uncertainty, or at least keep the reader going, and keep their curiosity intrigued, to keep them moving along? And, you know, people who write thrillers, for example, do that all the time. Some of the best of them, they end every chapter, or sometimes even every section with a cliffhanger.
Now, there are more subtle things, and I give one example in the book of this.
And that is done, again, through very clever prose. Are things gonna change? I mean, if all you have is a few seconds, you want to give the main information. If, on the other hand, you have the luxury of doing a somewhat lengthier thing, then of course, you can do all these kinds of tricks.
And I suppose too, even in internal communications, that would work. Because, again, we have such a tendency to be direct. Have you pretty much scratched your itch on the science of curious? I mean, we know, by now, much more than we did before. But, for example, one of the things that surprised me was that there are these different types of curiosity; one that is felt as an unpleasant state, and another one that is associated with anticipation of reward.
Had we known this from the beginning, we might have even used different words for the two types of feelings. There are two other types of curiosity that I did not mention yet here.
There is diversive curiosity, which is what young people do when they continuously check for new text messages on their smartphones.
This is basically something to ward off boredom. And then, there is specific curiosity, which is when you need to know a very specific piece of information, like who manufactured this particular product. So, I would probably come back to this topic in a couple of years, to see how much progress has been achieved.
And I think that ties in very well to this. People want information. They want new information, in particular. How did we kill their curiosity? What research shows is that, yes, that perceptual type of curiosity, namely being constantly surprised by things, and willing to take risks for novelty; that does decline with age.
But, this love of knowledge, or being infovores actually stays fairly constant throughout our entire life. And in some cases, it was very obvious. But, they never showed the bottle itself full sized, the way most advertisers did. It was always some sort of abstract shape, where there was a shrubbery, or a swimming pool, something like that, that people would have to look at it, study it for just a minute to decode the information in there.
There is this Dutch neuroscientist and the way they have done this is that they have shown people blurred images of common objects, to make them curious about what those things were. And they just stuck the people inside functional MRI machines, and looked at which parts of their brains are activated when they see these ambiguous shapes, which they try to figure out what they are.
Well, I want to be respectful of your time, Mario. Mario, where can our listeners find you and your ideas online? I have a Facebook page, which is, again, under my name. And, of course, the book can be found anywhere that books are sold.
Well, we will link to all those places and both your new book Why, and some of your past books, on the show notes page at RogerDooley.
Mario, thanks for being on the show. Really enjoyed the book. Too continue the discussion, and to find your own path to brainy success, please visit us at RogerDooley. Thank you for joining me for this episode of the Brainfluence podcast.