MATHEMATICAL FICTION:

a list compiled by Alex Kasman (College of Charleston)

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Bone Chase (2020)
Weston Ochse
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Ethan McCloud discovers a massive conspiracy to hide a historical truth in an thriller that combines science and the Bible. In this unsubtle attempt to create a new entry in the genre which achieved wide-spread popularity with The Da Vinci Code, the "big secret" is that a race of giants really existed in Biblical times. To reveal the truth, McCloud must evade both "The Council of David" and the Six-Fingered Man.

Although this description may sound so over-the-top as to have entered the realm of parody, the author apparently intends it to be taken seriously. Not only do I not think readers are supposed to find these fictional excesses funny, his afterword suggests that he expects the reader to take the existence of these giants seriously as well. Perhaps some readers will happily follow where Ochse leads them, but I was not able to suspend disbelief or enjoy this book despite the references to algebraic geometry.

Following the example of The Da Vinci Code, many works in this genre include some obscure references to mathematics that are tied into the conspiracy. Indeed, McCloud is described as being an unemployed math teacher in the very first sentence of the book. However, the mathematical content of the book is in a subplot which essentially only intersects the primary plot through analogies. McCloud's master's thesis concerned the Hodge Conjecture, a real open mathematical problem in algebraic geometry. The fact that we do not know whether the Hodge Conjecture is true or false is explicitly compared in the novel with the fact that the characters also do not know whether Biblical giants actually walked the Earth. Moreover, (spoiler alert), McCloud makes progress on proving the conjecture and even writes to the Clay Institute to claim the million dollar prize.

The Hodge Conjecture is really rather technical and difficult to explain. One first has to have the idea of what an algebraic variety is and what it's subvarieties are. That, I suppose, is not too difficult to state loosely for people since a variety is a sort of geometric object and hence one can picture some surface or solid object and subvarieties are little pieces of it. That doesn't address the algebraic nature of a variety but it is a reasonable approximation. Then, one also has to talk about cohomology, which is an algebraic structure associated to the geometric object that captures information about its topology (e.g. the existence of "holes"). The cohomology is made up of objects called classes. The conjecture itself is even more obscure, as it is the statement that certain specific classes from the cohomology of the whole variety can be made (by linear combination) out of the cohomology classes of the sub-varieties.

Precisely because this conjecture is so difficult to state in an understandable way to the "uninitiated", its inclusion in the book was a strange choice for Ochse to have made. Based on the reviews I have seen, many readers who don't know math were annoyed by the long passages about the Hodge Conjecture that they could not understand. Unfortunately, those who do know math well will not appreciate these passages either since Ochse gets it so wrong. He makes a big deal about the fact that McCloud has the Hodge conjecture tattooed on his body, but the formula shown in the book is not the Hodge conjecture! (The formula that McCloud has on his chest is just a decomposition that is known to be true for Kähler manifolds, not a conjecture and certainly not the Hodge Conjecture. The author presumably spotted it in the Wikipedia entry on the Hodge Conjecture and incorrectly assumed that it was a statement of the conjecture.) His attempt to describe the content of the conjecture in words is terrible:

(quoted from Bone Chase)

The conjecture purports that a three-dimensional shape can be pierced by a two-dimensional line.

And, McCloud's method of "proving" the conjecture is particularly unsatisfying as it seems more like a poem than a mathematical proof:

(quoted from Bone Chase)

Let X be a nonsingular complex projective manifold representing humanity. Then every class of X, each iteration, so to speak, would be a complex subvariety of X. These subvarieties would also take on certain shapes, not limited in dimensionality, comprising the pieces of the overall shape. Pieces such as love, hate, greed, Man's desire to learn and man's desire to make war. The love of a child, the kiss of a loved one, the loss of a pet. All of these were subvarieties that comprised the overall manifold that could be represented both topologically and algebraically, two distinct disciplines of thought. The bridge between those disciplines or the line through the doughnut hole was mankind's self-determination -- its ability to decide its own future and its relationship with its environments. The solution had been there the entire time. Ethan had just needed to be in the right place to see it.

I have some appreciation for the author's attempt to address epistemological questions using the conjecture as a metaphor. To what extent should the characters believe in the giants when they do not yet have conclusive proof of their existence? Indeed, a mathematical conjecture provides a good model for that. However, contrary to the implications of the book, mathematicians do not generally decide to believe that a conjecture is true or false. Perhaps a few do, but for the most part we simply accept the fact that the truth value of a conjecture is unknown. (This runs contrary to the popular stereotype that mathematicians are incapable of dealing with uncertainty or ambiguity. I would argue that we are actually quite good at dealing with those things!) But, the Hodge Conjecture is not the only theoretical object that the book uses in this analogy. It also mentions M-Theory. In my opinion, that analogy serves the desired purpose much better; the use of "M-Theory" in string theory is somewhat like McCloud's pursuit of evidence to support his belief in the race of giants.

Even though this book is not to my taste, there clearly are other people who loved it. If you read this book and can explain why you do like it, especially if your appreciation of it is linked to its mathematical content, then please write to me to let me know and I would be happy to post your comments here.

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(Note: This is just one work of mathematical fiction from the list. To see the entire list or to see more works of mathematical fiction, return to the Homepage.)

Works Similar to Bone Chase
According to my `secret formula', the following works of mathematical fiction are similar to this one:
  1. Pythagoras' Revenge: A Mathematical Mystery by Arturo Sangalli
  2. Seven Wonders by Ben Mezrich
  3. Gospel Truths by J.G. Sandom
  4. All Cry Chaos by Leonard Rosen
  5. The Rule of Four by Ian Caldwell / Dustin Thomason
  6. Hickory Dickory Shock! The Tale of Techies by Sundip Gorai
  7. The Da Vinci Code by Dan Brown
  8. The Cipher by John C. Ford
  9. The Last Theorem by Arthur C. Clarke / Frederik Pohl
  10. Lost Empire (A Sam and Remi Fargo Adventure) by Clive Cussler / Grant Blackwood
Ratings for Bone Chase:
RatingsHave you seen/read this work of mathematical fiction? Then click here to enter your own votes on its mathematical content and literary quality or send me comments to post on this Webpage.
Mathematical Content:
2/5 (1 votes)
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Literary Quality:
2/5 (1 votes)
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Categories:
GenreAdventure/Espionage,
MotifProving Theorems, Religion,
TopicGeometry/Topology/Trigonometry, Algebra/Arithmetic/Number Theory, Real Mathematics,
MediumNovels,

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(Maintained by Alex Kasman, College of Charleston)