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    • Leverage Technology and Platforms for Hiring and Personal FinanceUse Indeed for efficient hiring and Rocket Money for effective personal finance management to save time and money.

      When it comes to hiring or managing your personal finances, it's not about constantly searching or doing it all yourself. Instead, leverage technology and platforms like Indeed and Rocket Money to streamline the process, save time, and get better results. Indeed is a powerful hiring platform with over 350 million monthly visitors and a matching engine that helps you find high-quality candidates quickly. Rocket Money, on the other hand, helps you cancel unwanted subscriptions, monitor spending, and lower bills, saving users an average of $720 per year. Both platforms offer significant benefits and can help you focus on what truly matters. Additionally, FedEx provides fast and reliable delivery services, ensuring your packages arrive on time and with simple returns. And finally, sometimes it's the unexpected finds, like rare books in Las Vegas, that remind us of the importance of innovation and progress, like Claude Shannon's groundbreaking work in information theory.

    • Understanding the distinction between information and entropyInformation theory, introduced by Claude Shannon, defines information as that which allows accurate predictions, while entropy refers to uncertainty or unknown information. This distinction is crucial for grasping the implications of information theory in various fields, including biology and finance.

      Information theory, as introduced by Claude Shannon in 1948, is the mathematical study of information and its properties. Information is defined as that which allows someone to make predictions with accuracy better than chance. This concept is powerful and has applications in various fields, including biology and finance. However, it's often misunderstood due to its similarity to entropy, which refers to the uncertainty or unknown information. Understanding the distinction between information and entropy is crucial to fully grasping the implications of information theory. Today's guest, Christophe Adame, is a professor of physics and molecular biology at Michigan State University, and in his new book, "The Evolution of Biological Information," he explores how information theory can be used to better understand evolution and the origin of life. Despite being over 75 years old, the concept of information theory continues to evolve and provide new insights into the world around us.

    • Understanding the difference between information and entropyInformation is a measure of the difference between the actual and maximum entropy of a system, providing insight into its deviation from the state of maximum uncertainty.

      Information and entropy, while related, are not the same concept. Information is a difference between the maximum entropy (or uncertainty) and the actual entropy of a system. Shannon, in his work, defined information as a measure of surprise or uncertainty reduction, which is represented by a difference in entropy. However, there is confusion in the literature due to Weaver's use of the terms interchangeably. Low entropy states have high information content because they represent a significant reduction in uncertainty compared to the maximum entropy state. The fact that information is a difference between two entropies is crucial, as entropy itself doesn't have meaning or existence without this difference. In summary, information provides insight into the deviation of a system from its maximum entropy state, and its value is determined by the difference between the actual and maximum entropy.

    • Genetic Information Determines Ordered State of BodyThe genome contains all necessary information to determine the ordered state of our body, as our body's organization is a result of the genetic information.

      The information encoded in our genome is sufficient to determine the ordered state of our body, despite it seeming that there is more information required due to the complexity of our physical form. This is because the organization of our body is a result of the genetic information, making it mathematically necessary for the genome to contain all the necessary information. However, it's important to note that there is additional information acquired throughout our lifetime that is not stored in our genome and contributes to our overall knowledge and experiences. Probability plays a central role in information theory, as it deals with the likelihood of events and is essential for understanding and quantifying information. To fully grasp information theory, a foundational understanding of probability and statistics is necessary.

    • Information is contextual and dependent on assumptions or priorsInformation's relevance and meaning depend on the context and the agent's assumptions or priors

      The concept of information in probability theory is contextual and dependent on the assumptions or priors we have. Using the example of searching for car keys, we set up our priors based on past experience, which influences the probability distribution of where the keys might be. When we make a measurement, such as checking our pockets, we gain specific information, which can be positive or negative depending on the outcome. If the keys are not in our pocket, the specific information gained is negative, making us less certain of their location. Information is not absolute but rather relative to the context and the agent making the predictions. A virus is an excellent example of this concept. Its information about its job changes dramatically when its environment, or context, changes, such as when an antiviral is introduced. This shift in context alters the information the virus has, demonstrating that information is entirely contextual. Despite this, information theory can still deal with meaning, as the meaning of a sequence depends on the context in which it is evaluated.

    • Understanding the connection between information and fitnessInformation theory explains how shared entropy and correlation between two systems lead to accurate predictions and increased fitness

      Information and fitness are closely related concepts in biology. High information about how to survive in an environment leads to high fitness, and they are essentially intertwined. Information is what allows us to make accurate predictions about a system, and it is a shared entropy between the system and the one making the prediction. This concept of mutual information is crucial in information theory, representing the correlation and shared entropy between two systems. It's important to remember that information always involves two systems: one making the prediction and one being predicted. In essence, information is the non-random correlation between these two systems. The Voynich manuscript serves as an example of data that is not information until we know what it refers to and can make predictions based on it. Overall, information theory provides a fundamental understanding of how information and correlation are essential for making accurate predictions and increasing fitness in various systems.

    • Underutilization of Information Theory in BiologyInformation theory, a valuable tool in various scientific fields, is underutilized in biology due to misconceptions and perceived barriers. Scientists should overcome these obstacles to gain new insights using this concept, as it has in physics and other fields.

      While information theory is a valuable tool in understanding various scientific fields, including biology, its application is not yet widely adopted due to perceived barriers and misconceptions about its nature. The author of the discussion expresses frustration that this valuable tool is underutilized in biology, with only a few researchers using it. Information theory is often perceived as an engineering discipline, leading some scientists to believe it has no relevance to their field. However, the author argues that information theory is the same concept applied differently and can provide valuable insights into biology, as it has in physics and other fields. The author also mentions a personal barrier to understanding information theory due to its unique mathematical symbols and concepts, which require time and effort to learn. Despite these challenges, the author encourages scientists to overcome these barriers and embrace the use of information theory to gain new perspectives and insights into their research areas.

    • Viewing the world through information theory lensDarwin's discoveries about variation, selection, and inheritance laid the groundwork for understanding evolution as an information processing system

      The world, including biology, can be viewed through the lens of information theory. Charles Darwin, though not an information theorist himself, made significant discoveries about variation, selection, and inheritance, which are properties of information. Information evolves through mutation and replication, and what makes organisms special is the information they acquire over their lifetimes. Darwin's work laid the groundwork for understanding evolution as an information processing system, even if he didn't have the modern understanding of genetics. His predictions, based on the information available to him, show the power of using information to make scientific discoveries.

    • Evolution as a predictive theory maintaining the correlation between an organism's genome and its environmentEvolution is a predictive theory that maintains the correlation between an organism's genome and its environment, ensuring survival and accurate predictions through the concept of fitness

      Evolution, as proposed by Charles Darwin, is a predictive theory. While Darwin didn't use information theoretical terms, he understood that organisms' traits are adapted to their environments, making them fit and survive. This concept of fitness is about the correlation between an organism's genome and its environment. For instance, E. coli bacteria thrive at 37 degrees Celsius because their molecular biology predicts that environment. Information, in this context, refers to this correlation, which is maintained by the genome for accurate predictions. It's important to note that information isn't conscious; it's just a correlation between an organism's genetic makeup and its environment. Moreover, evolution can be thought of as a "Maxwell's demon," a concept from physics. Maxwell's demon sits at the partition between two boxes, maintaining a correlation between the gases in each box to create order and reduce entropy. Similarly, evolution maintains the correlation between an organism's genome and its environment, ensuring the organism's survival and enabling accurate predictions. This correlation is what we call "information," and its continuous maintenance is crucial for life.

    • Maxwell and Darwin demons: Measuring and increasing order in the universeMaxwell demon separates molecules, decreasing local entropy while not violating the second law. Darwin demon uses natural selection to increase order within organisms, leading to the Law of Increasing Information in Evolution.

      Both the Maxwell and Darwin demons illustrate how measurement and information extraction can lead to an apparent decrease in entropy or disorder. The Maxwell demon, through its measurements, separates fast and slow molecules, creating a non-equilibrium situation. However, this is not a violation of the second law of thermodynamics, as mathematically proven by Rudolf Landauer. The Darwin demon, on the other hand, uses natural selection as a measurement process, keeping beneficial mutations and discarding deleterious ones. This process increases the order or information within an organism over time, leading to the Law of Increasing Information in Evolution. However, it's important to note that both demons are not perfect and can sometimes lead to a decrease in information.

    • Measuring complexity through genome informationThe theory of evolution suggests that genome complexity increases over time, with essential regions containing significant information and non-essential regions having little to no impact on fitness.

      The theory of evolution predicts an increase in the amount of information stored in populations of genomes over time. This increase in information is equivalent to complexity, as complexity is simply a measure of the information necessary for an organism to function. Complexity, therefore, can be measured by the information content of an organism's genome. Not all parts of a genome contain equal amounts of information, and the distinction between informative and non-informative regions can only be made through comparison of multiple sequences. Conserved regions, which are essential for survival, contain important information, while non-conserved regions, which do not affect fitness, do not contain significant information. The ability to distinguish between informative and non-informative regions is crucial for understanding the complexity of an organism and the evolutionary process.

    • New Maybelline Foundation Protects and Nourishes Skin While Avoiding Fine LinesMaybelline's Instant Age Rewind Eraser Foundation offers a natural finish with SPF 20, moisturizing provitaminb5, and a blurring applicator. Its genomic content, like that of all organisms, doesn't necessarily reflect the amount of meaningful information it contains.

      Maybelline's new Instant Age Rewind Eraser Foundation not only delivers a medium, natural finish with SPF 20 and moisturizing provitaminb5, but it also protects and nourishes the skin while avoiding settling into fine lines and wrinkles. Its blurring sponge tip applicator ensures easy application and a flawless, radiant complexion. On a different note, during our discussion, we touched upon the concept of information in biology, specifically in relation to genomic content and the c value paradox. While some organisms, like Amoeba, have significantly more DNA than humans, most of that DNA is not actually meaningful information. In fact, if we were to compare the genomes of various organisms, we would find that a large percentage is repetitive or non-coding, and therefore, contains no information. Even human DNA, which is estimated to contain around 3 billion nucleotides, only encodes for about 8% of that potential information. The rest is considered non-coding or intergenic regions, which have no impact on the organism's function. So, while the length of a genome may give us an idea of its complexity, it doesn't necessarily equate to the amount of meaningful information it contains.

    • Understanding the Functional Elements of the Human GenomeDespite making up most of the human genome, non-coding regions have limited informational content. Measuring this content for certain proteins and molecules can provide insights into their evolution and function.

      While humans may be considered the pinnacle of complexity, much of the human genome, up to 80%, does not contain informational content. Instead, it consists of introns, repetitive sequences, and untranslated regions. Measuring the information content of the human genome is challenging due to the need for a large and diverse dataset, as well as the slow rate of genetic mutation among humans. However, for certain proteins and molecules, such as viral proteins, it is possible to measure their information content over time as they evolve and adapt to new environments. These findings suggest that there is still much to learn about the human genome and its functional elements. One intriguing example is the presence of conserved untranslated regions that form ribozymes, which may have important but currently unknown functions. Overall, the study of information content in genomes offers new insights into the evolution and function of complex biological systems.

    • The Importance of Long Noncoding RNAs in Brain Function and Cellular Molecular BiologyLong noncoding RNAs, initially dismissed as non-functional, are now recognized as essential for brain function and cellular molecular biology. They act as ribozymes, revealing the DNA's role as both information storage and machine.

      Long noncoding RNAs, which were once thought to be neutral and unimportant, are now understood to be crucial in brain function and overall cellular molecular biology. These regions, previously thought to have no significance due to their lack of codon translation and protein production, are in fact completely conserved and carry important information. RNAs play multiple roles in the cell, including acting as ribozymes, which are essential for the survival of organisms and the regulation of various biological processes. The discovery of ribozymes challenges the central dogma in molecular biology by revealing that the DNA does more than just encode proteins; it also transcribes RNA for the production of ribozymes. Information theory can help us understand the origin of life by shedding light on the role of RNAs as both information storage and machine, a concept known as the RNA world framework. This theory suggests that RNAs may have played a key role in the earliest stages of life, before the separation of information storage (DNA) and machine (proteins).

    • The origin of life from self-replicating RNALife may have started as a self-replicating, error-prone system that gradually became more accurate and complex over time

      Life originated from self-replicating RNA molecules, which store and transfer information. However, it's uncertain if RNA is the ancestor due to challenges in understanding how this process could have occurred. Life is fundamentally information that copies itself, but a minimum amount of information is required for replication, and we don't know what that amount is. We also don't know enough about the early Earth's environments to determine how much information could have existed. There are theories suggesting passive replication of sequences, which could have gradually accumulated information without a Darwinian process. These theories propose that copying errors could lead to the emergence of beneficial mutations, which could in turn increase the accuracy and speed of the replication process. In essence, life may have started as a self-replicating error-prone system that gradually became more accurate and complex over time.

    • Origin of life explained through Maxwell's demonMaxwell's demon hypothesis suggests that non-equilibrium conditions allowed for the gradual emergence of self-replicating organisms by preventing genetic material from deteriorating through constant information influx.

      The origin of life could be explained by a process akin to Maxwell's demon, where non-equilibrium conditions allowed for the gradual seepage of information from the hardware to the software, eventually leading to the autonomous replication of genetic material and the onset of Darwinian evolution. This hypothesis suggests that before reaching the threshold of 200 bits required for evolution, the genetic material was highly fragile and prone to deterioration due to the second law of thermodynamics. However, the constant influx of information from the replicative machinery kept the distribution from becoming too entropic, allowing for the eventual emergence of self-replicating organisms. Furthermore, the discussion touched upon the idea that human beings' capacity to manipulate and store information is an analogous phase transition, as we have developed ways to replicate and transmit knowledge beyond biological means. These advancements have allowed us to surpass the limitations of the second law of thermodynamics and continue to expand our knowledge base.

    • The power of human prediction and recorded knowledgeHuman intelligence lies in our ability to make accurate predictions based on recorded knowledge, leading to advancements in understanding complex concepts and the ability to act on those predictions for survival.

      The ability for humans to write down and build upon knowledge is what sets us apart from other species. This power allows us to make accurate predictions over long periods of time, which we consider a sign of intelligence. Animals make predictions based on their immediate environment, but humans, with our writing systems and mathematics, can make predictions about future events on a much larger scale. This has led to advancements in understanding complex concepts, such as global warming, and the ability to act on those predictions to ensure our survival. The combination of our brain's ability to make predictions and the permanence of recorded knowledge is the key to human success. However, the challenge lies in whether or not we have the collective will to act on these predictions.

    Recent Episodes from Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas

    276 | Gavin Schmidt on Measuring, Predicting, and Protecting Our Climate

    276 | Gavin Schmidt on Measuring, Predicting, and Protecting Our Climate

    The Earth's climate keeps changing, largely due to the effects of human activity, and we haven't been doing enough to slow things down. Indeed, over the past year, global temperatures have been higher than ever, and higher than most climate models have predicted. Many of you have probably seen plots like this. Today's guest, Gavin Schmidt, has been a leader in measuring the variations in Earth's climate, modeling its likely future trajectory, and working to get the word out. We talk about the current state of the art, and what to expect for the future.

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    Blog post with transcript: https://www.preposterousuniverse.com/podcast/2024/05/20/276-gavin-schmidt-on-measuring-predicting-and-protecting-our-climate/

    Gavin Schmidt received his Ph.D. in applied mathematics from University College London. He is currently Director of NASA's Goddard Institute for Space Studies, and an affiliate of the Center for Climate Systems Research at Columbia University. His research involves both measuring and modeling climate variability. Among his awards are the inaugural Climate Communications Prize of the American Geophysical Union. He is a cofounder of the RealClimate blog.


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    275 | Solo: Quantum Fields, Particles, Forces, and Symmetries

    275 | Solo: Quantum Fields, Particles, Forces, and Symmetries

    Publication week! Say hello to Quanta and Fields, the second volume of the planned three-volume series The Biggest Ideas in the Universe. This volume covers quantum physics generally, but focuses especially on the wonders of quantum field theory. To celebrate, this solo podcast talks about some of the big ideas that make QFT so compelling: how quantized fields produce particles, how gauge symmetries lead to forces of nature, and how those forces can manifest in different phases, including Higgs and confinement.

    Blog post with transcript: https://www.preposterousuniverse.com/podcast/2024/05/13/275-solo-quantum-fields-particles-forces-and-symmetries/

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    AMA | May 2024

    AMA | May 2024

    Welcome to the May 2024 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Patreons, whittle them down to a more manageable number -- based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good -- and sometimes group them together if they are about a similar topic. Enjoy!

    Blog post with questions and transcript: https://www.preposterousuniverse.com/podcast/2024/05/06/ama-may-2024/

    Support Mindscape on Patreon.

    Here is the memorial to Dan Dennett at Ars Technica.

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    274 | Gizem Gumuskaya on Building Robots from Human Cells

    274 | Gizem Gumuskaya on Building Robots from Human Cells

    Modern biology is advancing by leaps and bounds, not only in understanding how organisms work, but in learning how to modify them in interesting ways. One exciting frontier is the study of tiny "robots" created from living molecules and cells, rather than metal and plastic. Gizem Gumuskaya, who works with previous guest Michael Levin, has created anthrobots, a new kind of structure made from living human cells. We talk about how that works, what they can do, and what future developments might bring.

    Blog post with transcript: https://www.preposterousuniverse.com/podcast/2024/04/29/274-gizem-gumuskaya-on-building-robots-from-human-cells/

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    Gimez Gumuskaya received her Ph.D. from Tufts University and the Harvard Wyss Institute for Biologically-Inspired Engineering. She is currently a postdoctoral researcher at Tufts University. She previously received a dual master's degree in Architecture and Synthetic Biology from MIT.

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    273 | Stefanos Geroulanos on the Invention of Prehistory

    273 | Stefanos Geroulanos on the Invention of Prehistory

    Humanity itself might be the hardest thing for scientists to study fairly and accurately. Not only do we come to the subject with certain inevitable preconceptions, but it's hard to resist the temptation to find scientific justifications for the stories we'd like to tell about ourselves. In his new book, The Invention of Prehistory, Stefanos Geroulanos looks at the ways that we have used -- and continue to use -- supposedly-scientific tales of prehistoric humanity to bolster whatever cultural, social, and political purposes we have at the moment.

    Blog post with transcript: https://www.preposterousuniverse.com/podcast/2024/04/22/273-stefanos-geroulanos-on-the-invention-of-prehistory/

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    Stefanos Geroulanos received his Ph.D. in humanities from Johns Hopkins. He is currently director of the Remarque Institute and a professor of history at New York University. He is the author and editor of a number of books on European intellectual history. He serves as a Co-Executive Editor of the Journal of the History of Ideas.


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    272 | Leslie Valiant on Learning and Educability in Computers and People

    272 | Leslie Valiant on Learning and Educability in Computers and People

    Science is enabled by the fact that the natural world exhibits predictability and regularity, at least to some extent. Scientists collect data about what happens in the world, then try to suggest "laws" that capture many phenomena in simple rules. A small irony is that, while we are looking for nice compact rules, there aren't really nice compact rules about how to go about doing that. Today's guest, Leslie Valiant, has been a pioneer in understanding how computers can and do learn things about the world. And in his new book, The Importance of Being Educable, he pinpoints this ability to learn new things as the crucial feature that distinguishes us as human beings. We talk about where that capability came from and what its role is as artificial intelligence becomes ever more prevalent.

    Blog post with transcript: https://www.preposterousuniverse.com/podcast/2024/04/15/272-leslie-valiant-on-learning-and-educability-in-computers-and-people/

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    Leslie Valiant received his Ph.D. in computer science from Warwick University. He is currently the T. Jefferson Coolidge Professor of Computer Science and Applied Mathematics at Harvard University. He has been awarded a Guggenheim Fellowship, the Knuth Prize, and the Turing Award, and he is a member of the National Academy of Sciences as well as a Fellow of the Royal Society and the American Association for the Advancement of Science. He is the pioneer of "Probably Approximately Correct" learning, which he wrote about in a book of the same name.

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    AMA | April 2024

    AMA | April 2024

    Welcome to the April 2024 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Patreons, whittle them down to a more manageable number -- based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good -- and sometimes group them together if they are about a similar topic. Enjoy!

    Blog post with questions and transcript: https://www.preposterousuniverse.com/podcast/2024/04/08/ama-april-2024/

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    271 | Claudia de Rham on Modifying General Relativity

    271 | Claudia de Rham on Modifying General Relativity

    Einstein's theory of general relativity has been our best understanding of gravity for over a century, withstanding a variety of experimental challenges of ever-increasing precision. But we have to be open to the possibility that general relativity -- even at the classical level, aside from any questions of quantum gravity -- isn't the right theory of gravity. Such speculation is motivated by cosmology, where we have a good model of the universe but one with a number of loose ends. Claudia de Rham has been a leader in exploring how gravity could be modified in cosmologically interesting ways, and we discuss the current state of the art as well as future prospects.

    Blog post with transcript: https://www.preposterousuniverse.com/podcast/2024/04/01/271-claudia-de-rham-on-modifying-general-relativity/

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    Claudia de Rham received her Ph.D. in physics from the University of Cambridge. She is currently a professor of physics and deputy department head at Imperial College, London. She is a Simons Foundation Investigator, winner of the Blavatnik Award, and a member of the American Academy of Arts and Sciences. Her new book is The Beauty of Falling: A Life in Pursuit of Gravity.


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    270 | Solo: The Coming Transition in How Humanity Lives

    270 | Solo: The Coming Transition in How Humanity Lives

    Technology is changing the world, in good and bad ways. Artificial intelligence, internet connectivity, biological engineering, and climate change are dramatically altering the parameters of human life. What can we say about how this will extend into the future? Will the pace of change level off, or smoothly continue, or hit a singularity in a finite time? In this informal solo episode, I think through what I believe will be some of the major forces shaping how human life will change over the decades to come, exploring the very real possibility that we will experience a dramatic phase transition into a new kind of equilibrium.

    Blog post with transcript and links to additional resources: https://www.preposterousuniverse.com/podcast/2024/03/25/270-solo-the-coming-transition-in-how-humanity-lives/

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    269 | Sahar Heydari Fard on Complexity, Justice, and Social Dynamics

    269 | Sahar Heydari Fard on Complexity, Justice, and Social Dynamics

    When it comes to social change, two questions immediately present themselves: What kind of change do we want to see happen? And, how do we bring it about? These questions are distinct but related; there's not much point in spending all of our time wanting change that won't possibly happen, or working for change that wouldn't actually be good. Addressing such issues lies at the intersection of philosophy, political science, and social dynamics. Sahar Heydari Fard looks at all of these issues through the lens of complex systems theory, to better understand how the world works and how it might be improved.

    Blog post with transcript: https://www.preposterousuniverse.com/podcast/2024/03/18/269-sahar-heydari-fard-on-complexity-justice-and-social-dynamics/

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    Sahar Heydari Fard received a Masters in applied economics and a Ph.D. in philosophy from the University of Cincinnati. She is currently an assistant professor in philosophy at the Ohio State University. Her research lies at the intersection of social and behavioral sciences, social and political philosophy, and ethics, using tools from complex systems theory.


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    #047 - Cambrian Geology with Fred Bowyer

    Be prepared, this episode of Trolling with Logic is very science-heavy. But that’s why we love it. Nathan, Cal, and Jenna are joined by none other than Jenna’s brother Fred Bowyer! Fred Bowyer studies at The University of Edinburgh’s School of GeoSciences, where he is working in a PhD program specializing in the geochemistry of the Ediacaran Period -- the period lasting from about 635 to 542 million years ago -- which preceded the famous Cambrian Period.

    Fred provides us with an overview of the research he’s involved with, and how modern geochemical and geophysical techniques and technology have enabled scientists to resolve Darwin’s famous dilemma and come to an understanding of the environmental conditions way back at the dawn of animal life prior to the so-called “Cambrian Explosion.” We talk about what equipment scientists in this field are using, a primer on how fossils form, why pseudoscientific creationist arguments against geological dating techniques are wrong, the question of whether a rise in oxygen precipitate the evolution of animal life in the Cambrian, what dissolving rocks with acid can tell us about prehistoric atmospheres, and more. “Ediacaran Park” may not be as entertaining as Jurassic Park, but hearing from an active researcher in this prehistoric period reminds us of the amazing power and long reach of science and technology to illuminate aspects of the distant past unreachable by earlier generations of scientists.

     

    Links:

    Andrew H. Knoll and Erik A. Sperling, “Oxygen and Animals in Earth History,” PNAS 111, no. 11 (March 18, 2014): 3907-3908; http://www.pnas.org/content/111/11/3907.full.pdf.

    Fred Bowyer’s profile at ResearchGate: https://www.researchgate.net/profile/Fred_Bowyer/publications

    Popular-science books recommended by Fred for those interested in learning more:

    Douglas H. Erwin, ‘The Cambrian Explosion: The Construction of Animal Biodiversity’: https://www.amazon.com/Cambrian-Explosion-Construction-Animal-Biodiversity/dp/1936221039

    Andrew H. Knoll, ‘Life on a Young Planet: The First Three Billion Years of Evolution on Earth’: https://www.amazon.com/Life-Young-Planet-Evolution-Princeton/dp/069116553X

    Donald E. Canfield, ‘Oxygen: A Four Billion Year History’: https://www.amazon.com/Oxygen-Billion-History-Science-Essentials/dp/0691168369

    Tim Lenton and Andrew Watson, ‘Revolutions that Made the Earth’: https://www.amazon.com/Revolutions-that-Made-Earth-Lenton/dp/0199673462