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Is God a Mathematician?
by
Mario Livio (Goodreads Author)
Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natura
...more
ebook, 320 pages
Published
February 22nd 2011
by Simon & Schuster
(first published 2009)
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The answer to the question "Is God a Mathematician" depends very much on your world view. Those of faith that believe in a transcendent creator God will surely answer with a resounding YES. But Atheists and other non believers are likely to think mathematics is nothing more than an invention of the human mind. Nevertheless, it remains that the universe appears to have been designed by a pure mathematician. As James Jean put it “mathematics appears to be almost too effective in describing and exp
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Sangat sederhana dan menggelitik pertanyaannya, Apakah Tuhan itu Seorang Matematikawan?
Jika Anda pernah membaca buku Biografi Angka Nol-nya Charles Seife, Anda bakal langsung faham, mengapa Tuhan seolah menganakemaskan matematika dibandingkan ilmu yang lainnya. Tuhan, anehnya, seolah menaruh minat khusus pada perkembangan matematika.
Sebagai contoh, siapa yang tak kenal Golden Ratio alias "Nisbah Emas"? nyaris semua struktur makhluk hidup memiliki perbandingan nisbah emas. mulai dari susunan tula ...more
Jika Anda pernah membaca buku Biografi Angka Nol-nya Charles Seife, Anda bakal langsung faham, mengapa Tuhan seolah menganakemaskan matematika dibandingkan ilmu yang lainnya. Tuhan, anehnya, seolah menaruh minat khusus pada perkembangan matematika.
Sebagai contoh, siapa yang tak kenal Golden Ratio alias "Nisbah Emas"? nyaris semua struktur makhluk hidup memiliki perbandingan nisbah emas. mulai dari susunan tula ...more
In Is God A Mathematician, Mario Livio tries to explain the "unreasonable effectiveness" of mathematics to make sense of nature. Why do so many basic truths of physics, nature and the universe obey mathematical laws? Livio also tackles the question of whether mathematics is discovered (an objective truth independent of human thought) or invented (the product of human thought and reasoning). Along the way, Livio provides a fascinating mini-history of the development of math, biographies of some o
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Great book, highly recommended to anybody interested in the relationship between mathematics and physical reality. The author demonstrates his wide knowledge and culture, which is not limited only to mathematics and physics, but also to philosophy, cognitive sciences etc. A very comprehensive account, the only small defect being that the final conclusive part seems a bit rushed.
Става дума за история и философия на математиката. Мястото на математиката, като дисциплина, в книгата реално се намира само на едно място - в заглавието. Същото се отнася и за Бог (доколкото той може да се намира някъде).
Ливио се е опитал да направи едно неутрално изследване за "необяснимата ефективност на математиката" в света, който обитаваме, а бележките и библиографията в края на книгата, говорят, че се е постарал да си напише домашното. И се е получило. Като повечето домашни - сухо, педант ...more
Ливио се е опитал да направи едно неутрално изследване за "необяснимата ефективност на математиката" в света, който обитаваме, а бележките и библиографията в края на книгата, говорят, че се е постарал да си напише домашното. И се е получило. Като повечето домашни - сухо, педант ...more
In this book, Livio addresses the question of why the principles and laws of mathematics seem so "unreasonably effective" in explaining the physical world. For instance, when Newton deduced the law of gravity, he could hardly have known that these mathematical laws would for six orders of magnitude more precision than the data he originally was trying to match. In a similar way, there are numerous instances in 20th century physics of mathematical principles, previously discovered by mathematicia
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Since the enlightenment, mathematics and the sciences have ascended heights where God alone used to dwell, growing in scope and complexity and marveling the world with miracles like fusion, antibiotics, and space travel. Livio's title, "Is God a Mathematician?" isn't so much an effort to unite math and theology as it is an effort to find out how omnipotent and omniscient math can truly be.
The first half reads as a history of science--going over the ground of Archimides, Galileo, Copernicus and ...more
The first half reads as a history of science--going over the ground of Archimides, Galileo, Copernicus and ...more
La verdad es que este libro, en general todos los que voy leyendo de este autor, ha sido una gozada. En él, el autor llama "magos" a aquellos científicos que en su día se dieron cuenta de que las matemáticas tenían una relación inseparable con la realidad. Si algo no tiene funamento matemático, decimos que le falta rigor. Pero no siempre fue así.
Y entonces al autor da un repaso de los principales personajes centrándose en esta idea y explicando muchos detalles de aquellos que no se leen en gener ...more
Y entonces al autor da un repaso de los principales personajes centrándose en esta idea y explicando muchos detalles de aquellos que no se leen en gener ...more
Pi in The Sky is still the gold standard for books trying to explain why mathematics fits the real world with unreasonable effectiveness as the famous Wigner quote puts it. This book is still worth a read, but does not bring anything new, though it's entertaining and well written
First off, I'll begin by recommending this book to anyone who: is a newbie to mathematics, is a math enthusiast, enjoys digging deeper into the history of math and the people behind it, and anyone in general who is interested in math.
Note: I think those of you who have more experience with math (and its history) might not find anything new in this book -- but it's still a fun read which you could breeze through and enjoy.
Secondly, I've thoroughly enjoyed reading this book. Livio's style is somew ...more
Note: I think those of you who have more experience with math (and its history) might not find anything new in this book -- but it's still a fun read which you could breeze through and enjoy.
Secondly, I've thoroughly enjoyed reading this book. Livio's style is somew ...more
Senior astrophysicist at the Hubble Space Telescope Science Institute and author of a few other math books aimed at the general public, Mario Livio has written a short, accessible, and in many ways profound exploration of the nature of mathematics. He centers his book around two questions: 1. "Is mathematics ultimately invented or discovered?" and 2. "Why is mathematics so effective and productive in explaining the world around us that it even yields new knowledge?"
He frames his inquiry with wha ...more
He frames his inquiry with wha ...more
Mar 04, 2009
Yofish
rated it
3 of 5 stars
·
review of another edition
Recommended to Yofish by:
WaPo review Feb 2009
Shelves:
read-math
Written by a relatively famous physicist. Purports to examine the question as to whether math is invented or discovered. Never really gets around to 'answering' that question, and the final chapter is pretty disappointing. But there's a lot of good math history in there---mini-biographies of Newton, Galileo, Descartes, Aristotle among others. (He seems to have an odd bias against Gauss, for reasons I don't understand, and Euler barely receives mention.) Nice description of the rise of non-Euclid
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Всичко около нас може да бъде представено чрез математически модели. Чрез математиката можем да формулираме теории за вселената, анализираме поведението на стоковите борси, чрез нея статистиците оптимизират и прогнозират поведението на различни социални явления, невробиолозите създават модели за работата на мозъка и т.н. Може да кажем, че математиката е езика, граматиката на науката.
Но дали тя е плод на нашето въображение или тя е даденост в природата, нещо което просто откриваме? Иначе казано - ...more
Но дали тя е плод на нашето въображение или тя е даденост в природата, нещо което просто откриваме? Иначе казано - ...more
What accounts for the uncanny ability of mathematics to model the physical world? Is mathematics purely a human construct, an external reality, or something in between. These are the questions Livio sets out to address. He spends most of the book setting the stage for that, by reviewing critical developments in math and its use for modeling, from ancient Greece to the 21st century. In the end, Livio's personal answers to the questions don't matter as much as the enjoyment of the journey he takes
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The relevance of mathematics in physical reality
This is a historical review of the evolution of mathematics in physics and philosophy. The author and publishers have used a catchy title for the book to enhance its marketability. I was looking for a philosophical analysis of the basic laws (and equations) of physics and how it influenced the thought on physical reality. There is no discussion of how consciousness fit in within all this. If God used mathematics to create the laws of physics, then ...more
This is a historical review of the evolution of mathematics in physics and philosophy. The author and publishers have used a catchy title for the book to enhance its marketability. I was looking for a philosophical analysis of the basic laws (and equations) of physics and how it influenced the thought on physical reality. There is no discussion of how consciousness fit in within all this. If God used mathematics to create the laws of physics, then ...more
I was largely disappointed by this book. I think this is one of those eye catching titles to try to make you buy the book because the question is interesting, but the answer provided is not very interesting at all. First, most of the book is dedicated to talking about various historical figures and mathematical breakthroughs. While this is usually nice to read it doesn't do a whole lot to address the central question of the book. Livio lightly threads through some comments made by various mathem
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Science is an attempt to read God’s mind which is evident in the physical reality as the rules and principles which hold the world together. Livio’s book is an elegant attempt to tell the epic story of man’s quest to peer into nature itself and to grasp its fundamental principles with the help of his greatest intellectual tool – mathematics. Its extraordinary ability to describe the world has been a source of wonder to philosophists ever. This feat comes in two varieties. In one category named a
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May 25, 2010
Gendou
rated it
4 of 5 stars
·
review of another edition
Shelves:
non-fiction,
mathematics
The first half is a stale history of mathematicians, lacking in actual math. The second half is more interesting, when it gets into topology and non-Euclidean geometry. Much of the philosophy in the book suffers from the too common disease of struggling to define terms instead of presenting substantive arguments. However, the last chapter has some real gems in it, so I'd say this one's worth a read!
This book is mistitled. The real questions are laid out in the first chapter, but more succinctly put at the end of chapter 8 (p. 224): "Why is mathematics so effective and productive in explaining the world around us that it even yields new knowledge? And, is mathematics ultimately invented or discovered?" While reviewing the history of mathematics from Euclid, Archimedes, Plato, through Descartes, Newton, Riemann, and on to Gödel, Livio emphasizes two seminal events, the discovery of non-Eucli
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Interesting insights into how mathematics has developed over the centuries and how it appears to 'perfectly' describe natural phenomena so 'exactly'. It uses this to pose the question if mathematics is 'divinely inspired' or is it really 'invented by the human mind' (to fit the circumstances of nature) I'm not finished reading it so it doesn't answer this yet but it does give a nice 'whirlwind tour' of the key contributors in mathematical thought over the years ...
It leaves the question to us, ...more
It leaves the question to us, ...more
The title is a little bit misleading: the author's question is actually whether mathematics has a reality outside the human mind. While Livio does keep the thread of this question alive through the book, the book's true value (to me at least) was that it provides an excellent history of the development of mathematics from the Greeks to modern knot theory. He also ties together the various fields of mathematics (topology, plane geometry, probability, calculus etc.). The writing style very easy to
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This a a fantastic book. The author takes you on a tour of the history of mathematics, from Pythagoras through Archimedes, Galileo, Newton and many others with an eye toward trying to answer the question: is math something humans invent or discover?. No subject is explored too deeply, mainly because the topics are so broad and far ranging, but they are covered with enough depth to give you a good understanding of the concepts involved. While this book won't answer all of your questions, it will
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I have nothing much else to say that isn't FINALLY, FREAKING FINALLY. This wasn't the most easiest book to read through, despite the admittedly interesting and downright captivating subject matter. It was a bit too smart, bit too textbook-y to actually get absorbed in it, and this was me actively trying to read through and finish this book after like, oh I don't know, seven false starts, I think?
It's good, great actually. I will definitely give it that. But despite being only a couple of hundred ...more
It's good, great actually. I will definitely give it that. But despite being only a couple of hundred ...more
So far, loving it! Had to buy it 'cause I checked it out of the library but didn't finish it, and it was requested & so I had to return it. Then two weeks later had to take a break and let it dry out - I'd spilled water on part of the pages - and have just moved it back up to my bedside table... which is part of the reason it's taking so long to read it, I am just generally tired when I start reading, and don't read many pages.
Finally I am reading a part about mathematicians whom I don't rea ...more
Finally I am reading a part about mathematicians whom I don't rea ...more
I started a detailed review with quotes from the book but have not had time to finish it. I'll try to give my off the cuff impression.
Livio's writing revolves around the question of whether mathematics is a creation of the human imagination, i.e. completely theoretical, or whether mathematics remarkable ability (unreasonable effectiveness) to describe the natural world suggests that mathematics is part of "creation". He poses the question thus: Is mathematics created by human mathematicians or d ...more
Livio's writing revolves around the question of whether mathematics is a creation of the human imagination, i.e. completely theoretical, or whether mathematics remarkable ability (unreasonable effectiveness) to describe the natural world suggests that mathematics is part of "creation". He poses the question thus: Is mathematics created by human mathematicians or d ...more
Livio's real question isn't the one of the title. What he is trying to answer is whether math, with its abstract concepts that, incredibly, fit empirical data, is discovered or invented. Either way, there could be a god (if we don't rely on empirical data)--one who created the universe in mathematical terms, or one who gave us the creative power to develop mathematical terms that explain the universe. Perhaps unsurprisingly, Livio's answer is that the question is off the mark. It is not an eithe
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Ci sono cose il cui recondito significato ammetto mi sfugge. Com'è che il titolo originale di questo libro è in forma di domanda, mentre nella traduzione italiana abbiamo un'affermazione chiara e tonda? Abbiamo forse più certezze o credenze? A parte questo dubbio esistenziale, il libro cerca di dare una risposta alla ormai classica domanda su come mai la matematica abbia "un'irragionevole efficacia" (sono parole del fisico Eugene Wigner) nel descrivere i fenomeni fisici: e peggio ancora, scoprir
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"Wird Mathematik entdeckt oder erfunden? Mit dieser Frage beschäftigt sich das Buch. Der Titel ist hier etwas irreführend, das theologische Problem tritt in den Hintergrund. Die Pythagoreer hielten die natürlichen Zahlen für das Ein und Alles, bis sie erkennen mußten, daß der Lehrsatz, nach ihrem Meister benannt, für Diagonalen im Quadrat eine irrationale Zahl ergab. Platon beschrieb die nach ihm benannten Körper, Archimedes lief, der Legende nach, nackt durch Syrakus, er hatte die Wasserverdrän
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Mar 06, 2014
Robert
rated it
3 of 5 stars
·
review of another edition
Recommended to Robert by:
Book Club selection.
A book worth reading even if not mathematically inclined. My eyes glazed over for most of the actual math and I turned many of those pages, but the actual history of math was informative. Some of these guys were way ahead of their time. And that is the nature of scientific thought. These guys were thinking way beyond mythology.
Things that crossed my mind as I read:
1. Our society seems to be regressing. We marvel at the new Galaxy or I-product, but we selectively believe what we want to believe. ...more
Things that crossed my mind as I read:
1. Our society seems to be regressing. We marvel at the new Galaxy or I-product, but we selectively believe what we want to believe. ...more
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