What We Are Reading Today: A Hierarchy of Turing Degrees

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Updated 18 June 2020
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What We Are Reading Today: A Hierarchy of Turing Degrees

Edited by Rod Downey and Noam Grenberg

Computability theory is a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field has developed growing connections in diverse areas of mathematics, with applications in topology, group theory, and other subfields.

In A Hierarchy of Turing Degrees, Rod Downey and Noam Greenberg introduce a new hierarchy that allows them to classify the combinatorics of constructions from many areas of computability theory, including algorithmic randomness, Turing degrees, effectively closed sets, and effective structure theory.

This unifying hierarchy gives rise to new natural definability results for Turing degree classes, demonstrating how dynamic constructions become reflected in definability. Downey and Greenberg present numerous construction techniques involving high-level nonuniform arguments, and their self-contained work is appropriate for graduate students and researchers.

Blending traditional and modern research results in computability theory, A Hierarchy of Turing Degrees establishes novel directions in the field.


What We Are Reading Today: Heart of Darkness: Unraveling the Mysteries of the Invisible Universe

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Updated 03 May 2024
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What We Are Reading Today: Heart of Darkness: Unraveling the Mysteries of the Invisible Universe

  • The story of how evidence for the so-called “Lambda-Cold Dark Matter” model of cosmology has been gathered by generations of scientists throughout the world is told here by one of the pioneers of the field, Jeremiah Ostriker, and his coauthor Simon Mitton

Authors: Jeramiah P. Ostriker and Simmon Mitton

Heart of Darkness describes the incredible saga of humankind’s quest to unravel the deepest secrets of the universe. Over the past 40 years, scientists have learned that two little-understood components—dark matter and dark energy—comprise most of the known cosmos, explain the growth of all cosmic structure, and hold the key to the universe’s fate.

The story of how evidence for the so-called “Lambda-Cold Dark Matter” model of cosmology has been gathered by generations of scientists throughout the world is told here by one of the pioneers of the field, Jeremiah Ostriker, and his coauthor Simon Mitton.

From humankind’s early attempts to comprehend Earth’s place in the solar system, to astronomers’ exploration of the Milky Way galaxy and the realm of the nebulae beyond, to the detection of the primordial fluctuations of energy from which all subsequent structure developed, this book explains the physics and the history of how the current model of our universe arose and has passed every test hurled at it by the skeptics.

This monumental puzzle is far from complete, however, as scientists confront the mysteries of the ultimate causes of cosmic structure formation and the real nature and origin of dark matter and dark energy.

 


What We Are Reading Today: ‘A Natural History of Shells’ by Geerat Vermeij

Updated 03 May 2024
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What We Are Reading Today: ‘A Natural History of Shells’ by Geerat Vermeij

Geerat Vermeij wrote this “celebration of shells” to share his enthusiasm for these supremely elegant creations and what they can teach us about nature.

Most popular books on shells emphasize the identification of species, but Vermeij uses shells as a way to explore major ideas in biology.

How are shells built? How do they work? And how did they evolve?

With lucidity and charm, the MacArthur-winning evolutionary biologist reveals how shells give us insights into the lives of animals today and in the distant geological past.


What We Are Reading Today: The Princeton Field Guide to Dinosaurs 

Updated 02 May 2024
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What We Are Reading Today: The Princeton Field Guide to Dinosaurs 

Author: Gregory S. Paul

The bestselling “Princeton Field Guide to Dinosaurs” remains the must-have book for anyone who loves dinosaurs, from amateur enthusiasts to professional paleontologists. Now extensively revised and expanded, this dazzlingly illustrated large-format edition features nearly 100 new dinosaur species and hundreds of new and updated illustrations, bringing readers up to the minute on the latest discoveries and research that are radically transforming what we know about dinosaurs and their world.


What We Are Reading Today: The Virtue Proposition by Sig Berg

Updated 01 May 2024
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What We Are Reading Today: The Virtue Proposition by Sig Berg

Sig Berg, founder of the Severn Leadership Group, explains what’s missing from traditional leadership, with its emphasis on the rules and rituals of boardrooms and C-suites, and from iconoclastic leadership, which urges you to move fast and break things.

Neither of these embrace virtues, and neither has, nor ever will, deliver consistent superior results.

There is a courageous third way: virtuous leadership.

This book speaks to men and women who witness the absence of virtues and know they can do better, says a review published on goodreads.com.


What We Are Reading Today: ‘Stellar English’

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Updated 30 April 2024
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What We Are Reading Today: ‘Stellar English’

Author: FRANK L. CIOFFI

“Stellar English” lays out the fundamentals of effective writing, from word choice and punctuation to parts of speech and common errors.

Frank Cioffi emphasizes how formal written English—though only a sub-dialect of the language—enables writers to reach a wide and heterogenous audience.

Cioffi’s many example sentences illustrating grammatical principles tilt in an otherworldly direction, making up a science fiction story involving alien invasion.