Eight Lessons on Infinity
A Mathematical Adventure
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Eight Lessons on Infinity
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Narrated by:
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Quentin Cooper
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By:
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Haim Shapira
About this listen
A fun, nontechnical, and wonderfully engaging guide to that most powerful and mysterious of mathematical concepts: infinity. In this book, best-selling author and mathematician Haim Shapira presents an introduction to mathematical theories which deal with the most beautiful concept ever invented by humankind: infinity.
In this book, best-selling author and mathematician Haim Shapira presents an introduction to mathematical theories which deal with the most beautiful concept ever invented by humankind: infinity. Authored in clear, simple language and aimed at a lay audience, this book offers some strategies that will allow listeners to try their ability at solving truly fascinating mathematical problems.
Infinity is a deeply counterintuitive concept that has inspired many great thinkers. In this book, we will meet many sages, both familiar and unfamiliar: Zeno and Pythagoras, Georg Cantor and Bertrand Russell, Sofia Kovalevskaya and Emmy Noether, al-Khwarizmi and Euclid, Sophie Germain and Srinivasa Ramanujan.
The world of infinity is inhabited by many paradoxes, and so is this book: Zeno paradoxes, Hilbert's "Infinity Hotel", Achilles and the gods paradox, the paradox of heaven and hell, the Ross-Littlewood paradox involving tennis balls, the Galileo paradox, and many more.
Aimed at the curious but nontechnical listener, this book refrains from using any fearsome mathematical symbols. It uses only the most basic operations of mathematics: addition, subtraction, multiplication, division, powers, and roots - that is all. But that doesn’t mean that a bit of deep thinking won’t be necessary and rewarding.
Created with humor and lightness of touch, Haim Shapira banishes the chalky pallor of the schoolroom and offers, instead, a truly thrilling intellectual journey. Fasten your seatbelt. We are going to infinity, and beyond!
©2019 Haim Shapira (P)2020 Watkins PublishingListeners also enjoyed...
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-
Good treatment of the subject
- By Kindle Customer on 04-09-18
By: David Stipp
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Is God a Mathematician?
- By: Mario Livio
- Narrated by: Tom Parks
- Length: 9 hrs and 4 mins
- Unabridged
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Overall4.5 out of 5 stars 71
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Performance4.5 out of 5 stars 62
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Story4.5 out of 5 stars 62
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 natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.
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5 out of 5 stars
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Origins of Mathematics
- By Rick B on 07-08-21
By: Mario Livio
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Significant Figures
- The Lives and Work of Great Mathematicians
- By: Ian Stewart
- Narrated by: Roger Clark
- Length: 11 hrs and 39 mins
- Unabridged
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Overall4.5 out of 5 stars 253
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Performance4.5 out of 5 stars 211
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Story4.5 out of 5 stars 211
In Significant Figures, acclaimed mathematician Ian Stewart introduces the visionaries of mathematics throughout history. Delving into the lives of twenty-five great mathematicians, Stewart examines the roles they played in creating, inventing, and discovering the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics.
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3 out of 5 stars
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Beware
- By Anton Kurtz on 12-08-18
By: Ian Stewart
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The Equation That Couldn't Be Solved
- How Mathematical Genius Discovered the Language of Symmetry
- By: Mario Livio
- Narrated by: Tom Parks
- Length: 11 hrs and 45 mins
- Unabridged
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Overall4.5 out of 5 stars 67
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Performance4.5 out of 5 stars 58
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Story4.5 out of 5 stars 58
For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
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5 out of 5 stars
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Historical Perspective Appreciated
- By Michael Hanrahan on 01-22-20
By: Mario Livio
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When Einstein Walked with Gödel
- Excursions to the Edge of Thought
- By: Jim Holt
- Narrated by: David Stifel
- Length: 15 hrs and 19 mins
- Unabridged
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Overall4.5 out of 5 stars 633
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Performance4.5 out of 5 stars 536
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Story4.5 out of 5 stars 538
Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot.
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5 out of 5 stars
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A good overview of scientific theory
- By MJ Walters on 09-11-18
By: Jim Holt
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The King of Infinite Space
- Euclid and His Elements
- By: David Berlinski
- Narrated by: Arthur Morey
- Length: 3 hrs and 54 mins
- Unabridged
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Overall4.5 out of 5 stars 45
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Performance4.5 out of 5 stars 39
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Story4.5 out of 5 stars 40
Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over 2,000 years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics. In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements.
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5 out of 5 stars
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Funniest Highest and Fullest math overview
- By Francisco Garcia on 12-12-22
By: David Berlinski
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Intuition Pumps and Other Tools for Thinking
- By: Daniel C. Dennett
- Narrated by: Jeff Crawford
- Length: 13 hrs and 22 mins
- Unabridged
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Overall4 out of 5 stars 426
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Performance4 out of 5 stars 363
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Story4 out of 5 stars 357
Over a storied career, Daniel C. Dennett has engaged questions about science and the workings of the mind. His answers have combined rigorous argument with strong empirical grounding. And a lot of fun. Intuition Pumps and Other Tools for Thinking offers seventy-seven of Dennett’s most successful “imagination-extenders and focus-holders” meant to guide you through some of life’s most treacherous subject matter: evolution, meaning, mind, and free will.
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4 out of 5 stars
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Loved it, but some philosophy background needed.
- By LongerILiveLessIKnow on 11-14-13
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Euclid's Window
- The Story of Geometry from Parallel Lines to Hyperspace
- By: Leonard Mlodinow
- Narrated by: Robert Blumenfeld
- Length: 8 hrs and 13 mins
- Unabridged
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Overall4 out of 5 stars 594
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Performance4.5 out of 5 stars 420
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Story4.5 out of 5 stars 422
Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.
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5 out of 5 stars
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Wow!
- By Eric on 08-13-10
By: Leonard Mlodinow
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Undeniable
- How Biology Confirms Our Intuition That Life Is Designed
- By: Douglas Axe
- Narrated by: Neil Hellegers
- Length: 7 hrs and 14 mins
- Unabridged
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Overall4.5 out of 5 stars 311
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Performance4.5 out of 5 stars 273
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Story4.5 out of 5 stars 272
Throughout his distinguished and unconventional career, engineer-turned-molecular-biologist Douglas Axe has been asking the questions that much of the scientific community would rather silence. Now, he presents his conclusions in this brave and pioneering book. Axe argues that the key to understanding our origin is the "design intuition" - the innate belief held by all humans that tasks we would need knowledge to accomplish can be accomplished only by someone who has that knowledge.
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5 out of 5 stars
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Seductively Challenge what are consider facts
- By Rafael Vila on 10-08-16
By: Douglas Axe
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The Pleasure of Finding Things Out
- The Best Short Works of Richard P. Feynman
- By: Richard P. Feynman
- Narrated by: Sean Runnette
- Length: 8 hrs and 23 mins
- Unabridged
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Overall4.5 out of 5 stars 1,819
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Performance4.5 out of 5 stars 1,566
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Story4.5 out of 5 stars 1,558
The Pleasure of Finding Things Out is a magnificent treasury of the best short works of Richard P. Feynman, from interviews and speeches to lectures and printed articles. A sweeping, wide-ranging collection, it presents an intimate and fascinating view of a life in science - a life like no other. From his ruminations on science in our culture to his Nobel Prize acceptance speech, this book will delight anyone interested in the world of ideas.
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4 out of 5 stars
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Interesting, but material is covered in better book.
- By Erlend on 04-06-16
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Why Does the World Exist?
- An Existential Detective Story
- By: Jim Holt
- Narrated by: Steven Menasche
- Length: 11 hrs and 47 mins
- Unabridged
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Overall4 out of 5 stars 299
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Performance4 out of 5 stars 257
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Story4 out of 5 stars 253
Author Jim Holt explores the greatest metaphysical mystery of all: why is there something rather than nothing? This runaway best seller, which has captured the imagination of critics and the public alike, traces our latest efforts to grasp the origins of the universe. Holt adopts the role of cosmological detective, traveling the globe to interview a host of celebrated scientists, philosophers, and writers.
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4 out of 5 stars
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Fatal Reader Flaw
- By Let's Be Reasonable on 05-09-14
By: Jim Holt
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What Is Real?
- The Unfinished Quest for the Meaning of Quantum Physics
- By: Adam Becker
- Narrated by: Greg Tremblay
- Length: 11 hrs and 45 mins
- Unabridged
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Overall4.5 out of 5 stars 713
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Performance4.5 out of 5 stars 621
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Story4.5 out of 5 stars 614
Every physicist agrees quantum mechanics is among humanity's finest scientific achievements. But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's Copenhagen interpretation and dismissed questions about the reality underlying quantum physics as meaningless. A mishmash of solipsism and poor reasoning, Copenhagen endured, as Bohr's students vigorously protected his legacy, and the physics community favored practical experiments over philosophical arguments.
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5 out of 5 stars
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Good, "light" "read"... potential caveat below...
- By James S. on 03-31-18
By: Adam Becker
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The Invention of Science
- A New History of the Scientific Revolution
- By: David Wootton
- Narrated by: James Langton
- Length: 22 hrs and 5 mins
- Unabridged
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Overall4 out of 5 stars 134
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Performance4.5 out of 5 stars 120
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Story4.5 out of 5 stars 121
In this fascinating history spanning continents and centuries, historian David Wootton offers a lively defense of science, revealing why the Scientific Revolution was truly the greatest event in our history. The Invention of Science goes back 500 years in time to chronicle this crucial transformation, exploring the factors that led to its birth and the people who made it happen. Wootton argues that the Scientific Revolution was actually five separate yet concurrent events that developed independently.
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2 out of 5 stars
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A Good Read Spoiled
- By David A. Donnelly on 12-23-16
By: David Wootton
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His Master's Voice
- By: Stanislaw Lem
- Narrated by: Nick Sullivan
- Length: 9 hrs and 17 mins
- Unabridged
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Overall4 out of 5 stars 181
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Performance4.5 out of 5 stars 148
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Story4 out of 5 stars 148
A witty and inventive satire of "men of science" and their thinking, as a team of scientists races to decode a mysterious message from space. "I had the feeling that I was standing at the cradle of a new mythology. A last will and testament...we as the posthumous heirs of Them...."
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5 out of 5 stars
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Excelent and entertaining
- By Jakub on 01-10-12
By: Stanislaw Lem
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Infinite Powers
- How Calculus Reveals the Secrets of the Universe
- By: Steven Strogatz
- Narrated by: Bob Souer
- Length: 10 hrs and 41 mins
- Unabridged
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Overall4.5 out of 5 stars 688
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Performance4.5 out of 5 stars 564
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Story4.5 out of 5 stars 559
Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.
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4 out of 5 stars
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Not written to be read aloud
- By A Reader in Maine on 02-21-20
By: Steven Strogatz
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Dance of the Photons
- From Einstein to Quantum Teleportation
- By: Anton Zeilinger
- Narrated by: L. J. Ganser
- Length: 8 hrs and 37 mins
- Unabridged
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Overall4 out of 5 stars 81
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Performance4.5 out of 5 stars 59
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Story4.5 out of 5 stars 59
Einstein's steadfast refusal to accept certain aspects of quantum theory was rooted in his insistence that physics has to be about reality. Accordingly, he once derided as spooky action at a distance the notion that two elementary particles far removed from each other could nonetheless influence each others propertiesa hypothetical phenomenon his fellow theorist Erwin Schrdinger termed quantum entanglement.
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4 out of 5 stars
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Brilliant author tries hard, but comes up short...
- By Michael on 07-27-12
By: Anton Zeilinger
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Proving History
- Bayes's Theorem and the Quest for the Historical Jesus
- By: Richard Carrier
- Narrated by: Richard Carrier
- Length: 13 hrs and 4 mins
- Unabridged
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Overall4 out of 5 stars 172
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Performance4.5 out of 5 stars 150
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Story4 out of 5 stars 147
This in-depth discussion of New Testament scholarship and the challenges of history as a whole proposes Bayes's Theorem, which deals with probabilities under conditions of uncertainty, as a solution to the problem of establishing reliable historical criteria. The author demonstrates that valid historical methods - not only in the study of Christian origins but in any historical study - can be described by, and reduced to, the logic of Bayes's Theorem. Conversely, he argues that any method that cannot be reduced to this theorem is invalid and should be abandoned.
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4 out of 5 stars
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Good Book, Difficult Format
- By Erin Branscome on 08-21-15
By: Richard Carrier
What listeners say about Eight Lessons on Infinity
Average customer ratingsReviews - Please select the tabs below to change the source of reviews.
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Overall4 out of 5 stars
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Performance4 out of 5 stars
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Story5 out of 5 stars
- Kindle Customer
- 08-27-23
A PDF Would Have Helped
This is a great introduction to a few ways mathematicians and philosophers have approached the concept of infinity.
The narrator is engaging, but there’s not much you can do about having to read tables of numbers or manipulations of equations.
There are only a couple of chapters where this is an issue, but a pdf would have enabled the listener to follow along and not get lost.
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