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Beauty and Truth in Mathematics and Science

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How Beauty Leads Physics Astray

To develop new laws of nature, physicists routinely rely on arguments from beauty. This method has worked badly and has resulted in 40 years of stagnation in the foundations of physics. Dozens of costly experiments were commissioned but failed to confirm any of the physicists' beautiful hypotheses. In this SFI Community Lecture, science writer Sabine Hossenfelder explains what physicists mean when they say a theory is beautiful, what went wrong with their reliance on it, and how the field can move on.
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Michio Kaku - How is Mathematics Truth and Beauty?

When mathematicians speak about their craft, why do they use terms of philosophy and art? What is it about mathematics that can penetrate trivial truth and reveal fundamental “Truth?” What are the characteristics of fundamental truth? What is it about mathematics that can elicit the description “beautiful”? Mathematical beauty is not always simple, not always symmetrical — but it is always revelatory.

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Michio Kaku is an American theoretical physicist, the Henry Semat Professor of Theoretical Physics in the City College of New York of City University of New York, a futurist, and a communicator and popularizer of science. He has written several books about physics and related topics; he has made frequent appearances on radio, television, and film; and he writes extensive online blogs and articles. He has written two New York Times Best Sellers, Physics of the Impossible (2008) and Physics of the Future (2011).

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Closer to Truth presents the world’s greatest thinkers exploring humanity’s deepest questions. Discover fundamental issues of existence. Engage new and diverse ways of thinking. Appreciate intense debates. Share your own opinions. Seek your own answers.
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Karen Uhlenbeck - How is Mathematics Truth and Beauty?

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What is it about mathematics that mathematicians employ the language of philosophy to speak about “truth” and the language of art to speak about “beauty”? What makes mathematical propositions true? What makes them beautiful. Conversely, can mathematical propositions be true without being beautiful and/or be beautiful without being true?

Karen Uhlenbeck is a mathematician and founder of modern geometric analysis. She is currently a Distinguished Visiting Professor in the School of Mathematics at the Institute for Advanced Study in Princeton, NJ. Uhlenbeck is a professor emeritus of mathematics at the University of Texas at Austin, where she held the Sid W. Richardson Foundation Regents Chair.

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Closer to Truth presents the world’s greatest thinkers exploring humanity’s deepest questions. Discover fundamental issues of existence. Engage new and diverse ways of thinking. Appreciate intense debates. Share your own opinions. Seek your own answers.

#WomenInSTEM #Mathematics
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Mathematics is the queen of Sciences

An exploration of mathematics, including where it comes from and why it explains the physical world; and whether it’s a human invention or a hidden language of the universe.
Aired on 15 Apr 2015, on PBS network's NOVA program series, this is a collector's item!
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Graham Farmelo on Paul Dirac and Mathematical Beauty

Adjunct Professor of Physics at Northeastern University in Boston, Graham Farmelo, on Paul Dirac and the Religion of Mathematical Beauty. Apart from Einstein, Paul Dirac was probably the greatest theoretical physicist of the 20th century. Dirac, co-inventor of quantum mechanics, is now best known for conceiving of anti-matter and also for his deeply eccentric behavior. For him, the most important attribute of a fundamental theory was its mathematical beauty, an idea that he said was almost a religion to him.

Beauty and Truth in Mathematics; a Tribute to Albert Einstein and Hermann Weyl - Sir Michael Atiyah

Sir Michael Atiyah
Institute for Advanced Study
November 8, 2010

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Beyond Beauty: The Predictive Power of Symmetry

From a bee’s hexagonal honeycomb to the elliptical paths of planets, symmetry has long been recognized as a vital quality of nature. Einstein saw symmetry hidden in the fabric of space and time. The brilliant Emmy Noether proved that symmetry is the mathematical flower of deeply rooted physical law. And today’s theorists are pursuing an even more exotic symmetry that, mathematically speaking, could be nature’s final fundamental symmetry: supersymmetry. Join some of the world’s preeminent scientists to explore the core role symmetry plays in our unraveling of nature’s deepest secrets—and catch a glimpse of profoundly important symmetries that may be awaiting us just over the horizon.

MODERATOR: John Hockenberry
PARTICIPANTS: Robbert Dijkgraaf, David Gross, Alan Lightman, Maria Spiropulu
Original Program Date: June 4, 2016

This program is part of the Big Ideas Series, made possible with support from the John Templeton Foundation.

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The Predictive Power Of Symmetry 00:05

John Hockenberry's Introduction 3:10

Participant Introductions 7:18

What are the different types of symmetry? 8:48

The symmetry of the laws of nature 12:30

How has the discussion of symmetry evolve? 17:27

Why is nature so good with symmetry? 19:54

Math and symmetry go hand and hand 25:30

How your face needs to be non symmetrical 33:20

What kind of symmetry are fractals 40:05

Gage symmetry is influencing the Higgs 46:45

Scale symmetry and the vacuum 48:50

Einstein proposed symmetry of motion 55:07

How does the multiverse theory play in to symmetry? 1:01:20

Looking at breaking symmetry 1:06:40

Gravity may not come together with the other forces 1:11:23

Theorist and Experimentalist can get along 1:18:58

Super symmetry is an enlargement of space 1:20:47

What are experimental data can we expect in the next few years? 1:23:00

Visualizing the higgs and adding more energy 1:27:20

Lecture I - Beauty and Truth in Mathematics and Science

sRobert May, Baron May of Oxford; Professor, Zoology, Oxford University and Imperial College
October 2, 2012

2012 Stanislaw Ulam Memorial Lectures

May explores the extent to which beauty has guided, and still guides, humanity's quest to understand how the world works, with a brief look at the interactions among beliefs, values, beauty, truth, and our expectations for tomorrow's world.

Dirac Lecture 2011 - Beauty and truth:their intersection in mathematics and science

Please watch: UNSWTV: Entertaining your curiosity

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Lord Robert M. May Zoology Department, Oxford University, supported by the Royal Society of NSW & Australian Institute of Physics.

In the mists of prehistory, it seems clear that our ancestors sought to make sense of their world through myth and magic, memorably associated with evocative cave paintings, stone circles, and the like. The Greeks attempt to understand the motions of heavenly bodies were constrained by essentially aesthetic ideas about the perfection of circles. Did the advent of the experimental method overturn this conjunction of truth with beauty? Dirac's equation speaks eloquently and amazingly to a contrary view. My talk will cover this general ground in an opinionated way.

Murray Gell-Mann: Beauty and truth in physics

Armed with a sense of humor and laypeople's terms, Nobel winner Murray Gell-Mann drops some knowledge on TEDsters about particle physics, asking questions like, Are elegant equations more likely to be right than inelegant ones?

TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers are invited to give the talk of their lives in 18 minutes -- including speakers such as Jill Bolte Taylor, Sir Ken Robinson, Hans Rosling, Al Gore and Arthur Benjamin. TED stands for Technology, Entertainment, and Design, and TEDTalks cover these topics as well as science, business, politics and the arts. Watch the Top 10 TEDTalks on TED.com, at
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Edward Witten - How is Mathematics Truth and Beauty?

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What is it about mathematics that mathematicians employ the language of philosophy to speak about “truth” and the language of art to speak about “beauty”? What makes mathematical propositions true? What makes them beautiful. Conversely, can mathematical propositions be true without being beautiful and/or be beautiful without being true?

Edward Witten is a theoretical physicist and professor of mathematical physics at the Institute for Advanced Study in Princeton, New Jersey. Witten is a researcher in string theory, quantum gravity, supersymmetric quantum field theories, and other areas of mathematical physics.

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Closer to Truth presents the world’s greatest thinkers exploring humanity’s deepest questions. Discover fundamental issues of existence. Engage new and diverse ways of thinking. Appreciate intense debates. Share your own opinions. Seek your own answers.

Sabine Hossenfelder - How is Mathematics Truth and Beauty?

What is it about mathematics that mathematicians employ the language of philosophy to speak about “truth” and the language of art to speak about “beauty”? What makes mathematical propositions true? What makes them beautiful? Conversely, can mathematical propositions be true without being beautiful and/or be beautiful without being true?

Free access to Closer to Truth's library of 5,000 videos:

Sabine Hossenfelder is an author and theoretical physicist who researches quantum gravity. She is a Research Fellow at the Frankfurt Institute for Advanced Studies where she leads the Analog Systems for Gravity Duals group.

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Closer to Truth presents the world’s greatest thinkers exploring humanity’s deepest questions. Discover fundamental issues of existence. Engage new and diverse ways of thinking. Appreciate intense debates. Share your own opinions. Seek your own answers.

School of Theoretical Physics Statutory Public Lecture “Beauty and Truth in Mathematics and Physics”

Prof. Arthur Jaffe (Landon T. Clay Professor of Mathematics and Theoretical Science at Harvard University) recently gave the Statutory Public Lecture of the School of Theoretical Physics, DIAS. The lecture was held on Wednesday 18th May in the Schrodinger Lecture Theatre at Trinity College Dublin. Professor Jaffe is also Chair of the Governing Board of the School of Theoretical Physics, DIAS.
Abstract:

Beauty, commonly accepted in the arts, is also central both in mathematics and in physics. In both disciplines one also strives to discover truth. But beauty and truth can have different meanings for a physicist and for a mathematician! We discuss how one might reconcile these contrasting views.

Bio:

Arthur M. Jaffe is the Landon T. Clay Professor of Mathematics and Theoretical Science at Harvard University. His major research focuses on understanding quantum physics and the mathematics that it inspires. For his research in showing the mathematical compatibility of quantum theory with special relativity (by giving examples of non-linear fields in two and three dimensions), he received the Dannie Heineman Prize in Mathematical Physics, and the Physical Sciences Prize of the New York Academy of Science, jointly with James Glimm. In 1983 he authored the highly quoted essay “Ordering the Universe” for the US National Research Council, written to give intellectual justification for funding research in mathematics. In 1993 he wrote the essay “Theoretical Mathematics” with Frank Quinn, describing recent interactions between mathematics and theoretical physics. One year after its publication, the Bulletin of the AMS devoted an entire issue to discussion of that article.

Jaffe served as president of International Association of Mathematical Physics for two consecutive terms, and of the American Mathematical Society during 1997/1998. He conceived and guided the conception of the Clay Mathematics Institute, including serving as its first President 1998-2002, when he was responsible for the “Millennium Prize Problems in Mathematics.” Since 2005 he has chaired the Board of the DIAS School of Theoretical Physics. He is a Fellow of the American Academy of Arts and Sciences, a Member of the U.S. National Academy of Sciences, and an Honorary Member of the RIA.

What motivates us is the pursuit of beauty: June Huh on mathematics

June Huh won the 2019 the Breakthrough Prize in Mathematics. Here he delves deeply and articulately into the beauty of mathematics, the pure joy this brings, and whether math is created or a vast structure waiting to be discovered.

Can Math Be Beautiful?

What is it about Euclid's infinite primes that rocks Simon Singh's world? What makes math different from the rest of the sciences? Listen as he and mathematician Marcus du Sautoy explain why, to them, math is a language of beauty, creativity, and immortality—for its unshakable proofs allow you to truly stand solidly on the shoulders of giants.

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Original Program Date: June 3, 2011

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Lecture on Mathematical Logic, From (The Oxford Murders 2008) Film

A Scene from (The Oxford Murders 2008) Film where a doctorate student in the field of mathematical philosophy attends a Lecture given by prof. Arthur Seldom which he wants to work with and seeks for his recognition.

The Beauty and Power of Mathematics | William Tavernetti | TEDxUCDavis

William Tavernetti has a PhD in Applied Mathematics from UC Davis and is currently a lecturer at UC Davis in the department of Mathematics. William also works as a teacher fellow for the Introduction to Engineering Mechanics Cluster at the California State Summer School for Mathematics and Science (COSMOS). Prior to graduate school William worked as a Junior Reliability Engineer for Valador Inc. supporting the NASA Altair Lunar Lander. William also holds a BA in Philosophy and a BS in Mathematical Sciences from UC Santa Barbara.

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This talk was given at a TEDx event using the TED conference format but independently organized by a local community. Learn more at

Science Ka Adda: The Beauty of Mathematics

In the 16th Century, Galileo wrote that “The book of Nature is written in the language of Mathematics.” Arguably, the ability to make mathematical calculations is what differentiates us as a species from the rest of our brethren in the animal kingdom. With mathematics humans have been able to harness the forces of nature and create the modern world.

But just what is it about mathematics that makes it so special out of all the sciences? Why do so many people find math difficult and why do certain people have a particular dislike of it? Join us to find out, in the next very special edition of Science Ka Adda, with none other than our very own Dr. Pervez Hoodbhoy!

About the Speaker:
One of Pakistan’s most celebrated academics, Pervez Hoodbhoy is a world renowned nuclear physicist and prominent social activist. He is currently distinguished professor of physics and mathematics at Forman Christian College (Lahore), having served Quaid-e-Azam University for well over 40 years. Dr. Hoodbhoy received his undergraduate and degrees from MIT as well as a PhD in nuclear physics from there. He has been visiting professor at Carnegie Mellon University, University of Maryland, and MIT. Bold and unapologetically progressive, he is an advocate of freedom of speech. A regular contributor to dawn.com, he has also written for The New York Times, Washington Post, and Los Angeles Times on topics ranging from religion and politics to education and science.

Robbert Dijkgraaf - How is Mathematics Truth and Beauty?

Free access to Closer to Truth's library of 5,000 videos:

What is it about mathematics that mathematicians employ the language of philosophy to speak about “truth” and the language of art to speak about “beauty”? What makes mathematical propositions true? What makes them beautiful. Conversely, can mathematical propositions be true without being beautiful and/or be beautiful without being true?

Robbert Dijkgraaf is a theoretical physicist and string theorist. He is professor at and director of the Institute for Advanced Study in Princeton, New Jersey, and a tenured professor at the University of Amsterdam.

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Closer to Truth presents the world’s greatest thinkers exploring humanity’s deepest questions. Discover fundamental issues of existence. Engage new and diverse ways of thinking. Appreciate intense debates. Share your own opinions. Seek your own answers.

Where Does Beauty And Truth Fit In Science?

The question might be where does beauty and truth fit in science? Science being a topic and subject that is not easy for the masses and also a circle that not many women are in even today, that still holds true, why? Do read the blog and leave me your comments.

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