Stick to baseball, 10/20/18.

My first dispatch from the Arizona Fall League went up for ESPN+ subscribers this week, covering Forrest Whitley, Vlad Guerrero Jr., Julio Pablo Martinez, and more. I’ll file another, likely longer report this weekend.

My latest board game review for Paste covers the Spiel des Jahres-nominated cooperative game The Mind, where all players have to try to play all their hand cards to the table in ascending order – but without communicating with each other at all.

I’ll be at the Manheim Library in Manheim, PA, on Monday, October 22nd, to talk about Smart Baseball and sign copies of the book (which will be available for purchase there too).

I sent out the latest edition of my free email newsletter on Friday night. If you don’t get it, you don’t know what you’re missing.

And now, the links…

Stick to baseball, 7/14/18.

No new Insider pieces this week; I’ll have a Futures Game wrapup Sunday night and an updated top 50 prospects ranking out on Thursday. I did hold a Klawchat this past week.

Over at Paste, I reviewed the popular and very highly-rated new board game Rising Sun, from designer Eric Lang (Blood Rage, Ancestree), a $100 game with meticulously-crafted miniature figures but a fairly straightforward set of mechanics around area control and negotiation.

In just a few hours, I’ll be DC’s famed bookstore Politics & Prose with Jay Jaffe to talk about our books and sign copies. The event starts at 6 pm.

Two weeks from today, I’ll be at the Silver Unicorn Bookstore in Acton, MA at 1 pm to speak and sign copies of my book as well.

And now, the links…

A Brief History of Infinity.

Infinity is a big topic, to put it mildly. The mere concept of a limitless quantity has vexed mathematicians, philosophers, and theologians for over two centuries. The Greeks developed some of the first infinite series, some divergent (they approach infinity) and some convergent (they approach a finite number), with Zeno making use of these concepts in some of his famous paradoxes. Galileo is better known for his observations in astronomy and work in optics, but he developed an early paradox that he argued meant that we couldn’t compare the sizes of infinite sets in a meaningful way, showing that, although we know intuitively that there are more integers in total than there are integers that are perfect squares, you can map the integers to the perfect squares in a 1:1 ratio that appears to show that the two sets are the same size. Georg Cantor later explained this paradox in his development of set theory, coining the aleph terminology for infinite sets, and then went mad trying to further his theories of infinity, a math-induced insanity that later afflicted Kurt Gödel in his work on incompleteness. There remain numerous – dare I say infinite? – unsolved problems in mathematics that revolve around infinity itself or whether there are an infinite number of some entity, such as primes or perfect numbers, in the infinite set of whole numbers or integers.

Science writer Brian Clegg attempts to make these topics accessible to the lay reader in his book A Brief History of Infinity, part of the Brief History series from the imprint Constable & Robinson. Rather than delving too far into the mathematics of the infinite, which would require more than passing introductions to set theory, the transfinite numbers, and integral calculus, Clegg focuses on the history of infinity as a concept in math and philosophy, going back to the ancient Greeks, walking through western scholars’ troubles with infinity (and objections from the Church), telling the well-known story of Newton and Leibniz’s fight over “the” calculus, and bringing the reader up through the works of Cantor, Gödel, and other modern mathematicians in illuminating the infinite both large and small. (It’s $6 for the Kindle and $5 for the paperback as I write this.)

Infinity can be inconvenient, but we couldn’t have modern calculus without it, and it comes up repeatedly in other fields including fractal mathematics and quantum physics. Sometimes it’s the infinitely small – the “ghosts of departed quantities” called infinitesimals that Newton and Leibniz required for integration – and sometimes it’s infinitely large, but despite several millennia of attempts to argue infinity out of mathematics, there’s no avoiding its existence and even the necessity of using it. Clegg excels when recounting great controversies over infinity from the history of math, such as the battle between Newton and Leibniz over who invented the calculus, or the battle between Cantor and his former teacher Leopold Kronecker, who disdained not just infinity but even the transcendental numbers (like π, e, or the Hilbert number) and actively worked to prevent Cantor from publishing his seminal papers on set theory.

Clegg’s book won’t likely satisfy the more math-inclined readers who want a crunchier treatment of this topic, especially the recent history of infinity from Cantor forward. Cantor developed modern set theory and published numerous proofs about infinity, proving that there are at least two distinct sets of infinities (the integers, aleph-null, are infinite, but not as numerous as the real numbers, aleph-one; aleph notation measures the cardinality of infinities, not the quantity of infinity itself). I also found Clegg’s discussion of Gödel’s incompleteness theorems rather … um … incomplete, which is understandable given the theorems’ abstract nature, but also meant Gödel earned very little screen time in the book other than the overemphasized parallel between his own descent into insanity and Cantor’s. I was disappointed that he didn’t get into Russell’s paradox*, which is a critical link between Cantor’s work (and Hilbert’s hope for a resolution in favor of completeness) and Gödel’s finding that completeness was impossible.

Let R be the set of all sets that are not members of themselves. If R is not a member of itself, then it must be a member of R … but that produces a contradiction by the definition of R.

Clegg does a much better job than David Foster Wallace did in his own book on infinity, Everything and More: A Compact History of Infinity, which tried to get into the mathier stuff but ultimately failed to make the material accessible enough to the reader (and perhaps exposed the limits of Wallace’s knowledge of the topic too). This is a book just about anyone who took one calculus class can follow, and it has enough personal intrigue to hold the reader’s attention. My personal taste in history of science/math books leans towards the more technical or granular, but I wouldn’t use that as an indictment of Clegg’s approach here.

Next up: I’m reading another Nero Wolfe mystery, after which I’ll tackle Michael Ondaatje’s Booker Prize-winning novel The English Patient.

Stick to baseball, 10/7/17.

My lone Insider piece this week looked at the top under-25 players on playoff rosters, so of course someone complained that I’d left Manny Machado off the list. I also held a Klawchat on Thursday.

Next Saturday, October 14th, I’ll be at Changing Hands in Phoenix, talking about and signing copies of Smart Baseball, starting at 2 pm ET. This Changing Hands location serves beer and wine, which may help make me more interesting.

And now, the links…

Stick to baseball, 4/30/17.

My book is out! You can find Smart Baseball absolutely everywhere – online, in bookstores, and even in some libraries. HarperCollins has links to various online vendors, but if you prefer to walk into a bookstore like it’s 1947 and buy the book directly, well, I like to do that too. I know thousands of you have already bought it, so my thanks to all of you.

I went to MLB Network on Friday and appeared on MLB Now, the show hosted by my friend and former ESPN colleague Brian Kenny. You can watch our discussion of the book. I talked to SI’s Richard Deitsch about baseball on TV and about not sticking to sports on social media. I also appeared on my good friend Will Leitch’s podcast to talk about the book and mock his hatred of Fletch.

I also discussed the book on over 50 radio shows this week; highlights included a long chat with WNYC’s Leonard Lopate, talking to Connell McShane on the Don Imus show, appearing on the Felske Files podcast, appearing on the Fantasy Focus Baseball podcast (with Karabell! But no bias cat), talking to WBAL’s Brett Hollander, and talking to WABC’s Sid Rosenberg.

I do have some upcoming appearances as well: May 8th at Pitch Talks Philadelphia, May 16th at The Georgia Center for the Book (in Decatur), and May 18th at Moon Palace Books in Minneapolis. There are further readings/events scheduled in Toronto, Miami, and Brooklyn for June and July.

My other writing from the past week included ranking the top 50 prospects for this year’s draft for ESPN Insiders, a list I’ll eventually expand to 100. It wasn’t easy getting to 50, though. For Paste I ran through the best new boardgames of 2017, including a few titles from the tail end of last year.

OK, finally, let’s get to some links:

Stick to baseball, 4/8/17.

I had one Insider post this week, on the most prospect-packed minor league rosters to open the season. I have already filed a draft blog post on last night’s outing by Hunter Greene, with additional notes on a half-dozen other draft prospects, including Brendan McKay and Austin Beck. (EDIT: It’s up now.) I held my regular Klawchat on Thursday.

I resumed boardgame reviews for Paste this week with a look at the reissue of Sherlock Holmes: Consulting Detective, specifically the Jack the Ripper & West End Cases set, but found it more like a solitaire puzzle than a cooperative game.

You can preorder my upcoming book, Smart Baseball, on amazon, or from other sites via the Harper-Collins page for the book. The book now has two positive reviews out, one from Kirkus Reviews and one from Publishers Weekly.

Also, please sign up for my more-or-less weekly email newsletter.

And now, the links…

Stick to baseball, 12/10/16.

I wrote a bunch of stuff this week to cover all the major transactions before and during the winter meetings, including:

The Cardinals signing Dexter Fowler
The Yankees signing Aroldis Chapman
The Nationals’ trade for Adam Eaton
The Cubs/Royals trade with Wade Davis and Jorge Soler
The Rockies signing Ian Desmond
The Rays signing Wilson Ramos
The Red Sox trading for Chris Sale
The Red Sox trading for Tyler Thornburg
The Giants signing Mark Melancon
The Yankees signing Matt Holliday
The Astros signing Carlos Beltran

I also held a Klawchat on Friday afternoon.

Over at Paste, I reviewed Terraforming Mars, one of the best new boardgames of 2016, and one that will place high on my ranking of the top ten games of the year when that’s published in the next few days.

You can preorder my upcoming book, Smart Baseball, on amazon. Also, please sign up for my more-or-less weekly email newsletter.

And now, the links…

Stick to baseball, 11/26/16.

Chris Crawford and I ranked and wrote up the top 30 prospects for the 2017 draft, with Vandy outfielder Jeren Kendall at #1. I also wrote posts for Insiders on the Segura/Walker trade, on the Brett Cecil & Andrew Cashner contracts and other moves, and on the Astros’ moves last week. I also held a Klawchat on Tuesday, in advance of the holiday.

Over at Paste I reviewed the new Martin Wallace game Via Nebula, a great, family-level route-building game that we found simple to learn and quick to play.

You can preorder my upcoming book, Smart Baseball, on amazon. Also, please sign up for my more-or-less weekly email newsletter.

And now, the links…

The Elegant Universe.

My latest column at ESPN looks at five potential callups for contenders.

Brian Greene’s 1999 bestseller and Pulitzer Prize finalist The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory is more like two books in one. The first half to two-thirds is a highly accessible history of the two main branches of physics, the macro world perspective that culminated in Einstein’s discovery of general relativity, and the micro (I mean, really micro) perspective covered by quantum mechanics. The two theories could not be unified until the advent of string theory, which Greene lays out in still somewhat easy to follow language. The last third of the book, however, delves into deeper topics like the nature of spacetime or the hypothesis of the multiverse, and I found it increasingly hard to follow and, unfortunately, less compelling at the same time.

String theory – more properly called superstring theory, but like the old basketball team in Seattle, the theory has lost its “super” somewhere along the way – is the prevailing theoretical framework in modern physics about the true nature of matter and the four fundamental forces. Rather than particles comprising ever-smaller subparticles that function as zero-dimensional points, string theory holds that what we perceive as particles are differing vibrations and frequencies of one-dimensional “strings.” String theory allows physicists to reconcile Einstein’s theories of general and special relativity with the explanations of three of those four forces (strong, weak, and electromagnetic) provided by quantum mechanics, resulting in a theory of quantum gravity that posits that that fourth force is the result of a massless quantum particle called the ‘graviton.’ Gravitons have not been observed or experimentally confirmed, but other similar particles have been, and all would be the result of those vibrating strings, open or closed loops in one dimension that, under the framework, are the most basic, indivisible unit of all matter and energy (which are the same thing) in the universe.

Strings are far too small to be observed, or to ever even be observed – you can’t observe a string with a particle, like a photon, larger than the string itself – but physicists believe string theory is accurate because math. And that’s one of the biggest challenges for Greene or anyone else writing about the topic: the proof isn’t in experimental results or great discoveries, but in equations that are too complicated to present in any text aimed at the mass audience.

In fact, the equations underlying string theory require a universe of not four dimensions – the ones we see, three of space and one of time, which Einstein treated simply as four dimensions of one thing called spacetime – but ten or eleven. These “missing” dimensions are here, at every point in the universe, but are tightly curled up in six-dimensional forms called Calabi-Yau manifolds, as if they exist but the universe simply chose not to deploy them. They must be there, however, if string theory is true, because the calculations require them. This is near the part where I started to fall off the train, and it only became worse with Greene’s discussions of further alterations to string theory – such as higher-dimensional analogues to strings called 2-branes and 3-branes – or his descriptions of what rips or tears in spacetime might look like and how they might fix themselves so that we never notice such things. (Although I prefer to think that that’s where some of my lost items ended up.)

The great success of this book, however, is in getting the reader from high school physics up to the basics of string theory. If you’re not that familiar with relativity – itself a pretty confusing concept – this is the best concise explanation of the theories I’ve come across, as Greene uses simple phrasing and diagrams to explain general and special relativity in a single chapter. He follows that up with a chapter on quantum mechanics, hitting all the key names and points, and beginning to explain why general relativity, which explains gravity in a classical framework, cannot be directly coupled with quantum mechanics, which explains the other three forces in an entirely different framework. Building on those two chapters, Greene gives the most cogent explanation of superstrings, string theory, and even the idea of these six or seven unseen spatial dimensions that I’ve come across. We’re talking about objects smaller than particles that we’ve never seen, and the incredible idea that everything, matter, energy, light, whatever, is just open and closed one-dimensional entities the size of the Planck length, 1.6 * 10-35 meters long. To explain that in even moderately comprehensible terms is a small miracle, and Greene is up to the task.

This was a better read, for me at least, than George Musser’s book on quantum entanglement, Spooky Action at a Distance, which covers a different topic but ends up treading similar ground with its descriptions of spacetime and the new, awkwardly-named hypothesis “quantum graphity.” Quantum entanglement is the inexplicable but true phenomenon where two particles created together maintain some sort of connection or relationship where if the charge or spin on on of the particles is flipped, the charge or spin on the other will flip as well, even if the two particles are separated in distance. This appears to violate the law of physics that nothing, including information, can be transmitted faster than the speed of light. How do these particles “know” to flip? Musser’s description of the history of entanglement, including Einstein’s objection that provided the title for this book, is fine, but when he delves into new hypotheses of the fabric of spacetime, he just completely lost me. Quantum graphity reimagines spacetime as a random graph, rather than the smooth four-dimensional fabric of previous theories, where points (or “nodes”) in space are connected to each other in ways that defy traditional notions of distance. This would provide a mechanism for entanglement and also solve a question Greene addresses too, the horizon problem, where disparate areas of the universe that have not been in direct physical contact (under the standard model) since a tiny fraction of a second after the Big Bang currently have the same temperature. I didn’t think Musser explained quantum graphity well enough for the lay reader (me!), or gave enough of an understanding that this is all highly speculative, as opposed to the broader acceptance of something like string theory or absolute acceptance of quantum theory.

Next up: Back to fiction with Eowyn Ivey’s Pulitzer Prize finalist The Snow Child.

Beyond Einstein.

Some great boardgame apps still on sale, including Splendor for $0.99 (iOS or android) and Ticket to Ride for $2.99 (iOS or android).

I enjoyed physicist Michio Kaku’s book Einstein’s Cosmos, a biography of the founder of relativity theory that didn’t skimp on details of Einstein’s work, so when I spotted another of Kaku’s books, the 1995 work Beyond Einstein: The Cosmic Quest for the Theory of the Universe (co-authored by Jennifer Thompson) for half price at Changing Hands in Tempe during my annual AFL trip, I picked it up without a second thought. The book covers a little of the same ground as the Einstein bio, but is primarily a history of superstring theory and the search for a “grand unified theory” (up to 1995, of course) that would bring together the four fundamental forces of physics, building the reader up from the mid-19th century forward through various stops and starts that included the proposal, discarding, and resurrection of string theory from the 1950s to the 1980s.

Strings, in particle physics, are theoretical subparticles that would constitute all types of matter and energy in the universe: the hundreds (or more) types of subatomic particles known to physics may all be manifestations of strings, with different vibrations of the strings showing up to our devices as different subatomic particles. String theory would solve a large number of problems with our current understanding of the nature of matter and energy, from the existence of the aforementioned four forces (gravity, the strong nuclear force, the weak nuclear force, and electromagnetism, although the last two have been shown to be the same thing) to the origins of the universe itself. Most theoretical physics has rested on the assumption that the universe is orderly; the complexity involved in having hundreds of fundamental particles, or even in having four independent forces, has in and of itself led physicists to try to unite these under a single umbrella, with string theory the leading candidate and quite possibly the only game in town.

Where Kaku and Thompson succeed is in guiding the reader to a basic understanding of string theory by gradually working their way through the various milestones in physics research over the 120 or so years before string theory became widely accepted as a serious candidate for the “theory of everything.” That means we get our fill of Maxwell and Einstein, but we also get Feynman diagrams (which apparently are rather a big deal, but were new to me as a lay reader) and the best concise explanation of Schrodinger’s cat paradox I’ve come across. Kaku also explains symmetry and supersymmetry, the suspected nature of dark matter, and the connection between Lie groups (from group theory) and quantum field theory, without ever drowning readers in math unless you go to the footnotes. I wouldn’t say that the book taught me enough about string theory – I think I’ll have to get Brian Greene’s best-selling The Elegant Universe for that – but it gave me more than just a superficial explanation along with plenty of the mind-bending stuff that makes theoretical physics seem fun to someone like me.

There are some sections at the end of the book that seemed to me to go beyond science and into the highly speculative, although some of you may be able to tell me that my impression is wrong. Some of it is just strange, like the argument that the universe was originally in ten dimensions but collapsed into two separate universes, ours with four dimensions and another, minuscule universe that held the other six (are dimensions really additive?). Some seemed borderline metaphysical, like the argument that the universe came from nothing in a sort of quantum leap, even though sudden state shifts like that don’t occur … well, ever, or wouldn’t we stand in constant risk of winking out of existence (or perhaps into another, parallel universe)? Kaku’s book leaves lots of questions unanswered, but I suppose it fits, since theoretical physics has yet to answer many of those same questions.

Next up: Lois McMaster Bujold’s Paladin of Souls, another Hugo Award winner.