math book thud

I've been on a math-for-norms book binge. Singh then Eastaway and now Jordan Ellenberg's How not to be Wrong (2014). Which is the same title as a book by James "LBC" O'Brien. The subtitles distinguish: JE . . . The Power Of Mathematical Thinking [US] OR The Hidden Maths of Everyday Life [UK IE] vs JO'B . . . the Art of Changing Your Mind. Want an insight into the tawdry prejudice that can inhabit the head of a radio presenter [or your own]? Choose O'Brien. Deal with your own math-anxiety and get a better crap-detector? That would be Ellenberg. He doesn't claim that math is easy, but maintains that you will be better off [and less often bamboozled by sharks] if you knuckle down to the work of squeezing sense from numbers. Compared to Singh and Eastaway, Ellenberg's book has more pages and a teeny-tiny font and many even smaller footnotes and an index: it is meant to be taken seriously, hence "thud" in the title. But it is also meant to make math fun and some of Ellenberg's waggish asides 

It's also okay to make your own fun where math meets literature. As when you hunt for ELS [equidistant letter sequences] in The Torah, [or like Meeee in genomes, or GenBank or Magna Carta]. The Torah = the Pentateuch = The first five books of the Old Testament: Gen Exo Lev Num Deu = The Word of God! About 30 years ago, three math-comp-phys whizzes loaded up the Torah and wrote a program to look for hidden messages in a text written 2,500 years ago in Hebrew. In fine, they looked by ELS for, and found, the names and b.days of 32 'modern' rabbis. They also jumbled the order of the holy letters to see whether you could find that good of signal in random Hebrew letters . . . and [compufolk can do that sort of thing in perl or python] then re-jumbled the text a million times to get a measure of just how unlikely were their prophet-finding results! It caused a stir at the time and not just among people who'd done the bar-mitzvah. Push-back came quickly and Ellenberg uses the tale to be skeptical about other crazy 'truths' which seize the public imagination every few years [Dan Brown, we see you].

One of the themes which runs through the book is Utility: how evaluate competing desiderata so as to come up to some optimum solution. He quotes one pundit as saying that "If you never miss a plane, you're not doing it right spending too much time at airports". To get to the airport in Good Time, you've skipped breakfast and left home before airport-shuttle: so you're down the cost of a taxi AND a €9 croissant from Costa Packet. If you fly twice a month those deficits (we'll ignore the sleep deficit and the hazard of using the airport t'ilet) will far exceed the cost of rescheduling the missed flight. And not only travel: Surgeons who never kill patients aren't pushing the envelope of their cutty craft.

Also The Variance! There is a whole chapter on winning the Lotto. For about a decade, Massachusetts ran a lottery where on some occasions, the expected utility of a $2 ticket was ~$5. Something, something roll-down excess jackpot something something match 5 winners. On such draw-days, at least three different consortia bought A Lot of tickets. One group wrote a script to generate 000s of different 6 number combos. Another group just rocked up to convenience stores with $10,000 in cash and did quick-pick; which saved the confederates some RSI from making pen-marks on Lotto forms. The winnings were about the same for each strategy. Across the state, ordinary folk were winning also but with only $2 up-front their odds of winning were slim enough. The consortia, by covering more bases, smoothed out the variance and more or less ensured that they would cash out close to the expected utility.

Because we love each other ver' much, Ellenberg has some overlap with The Blob: Poincaré's bus-step; Cantor's infinities; Abraham's armour; Nate Silver's uncertainty; Shannon's bits; Hamming's bit-errors; Pearson & Son.  I recommend this book: you don't have to read all 120,000 words. And it will help your crap-detector for interpreting Gallup polls, press headlines, and political pundits.

Amen to this: "I think we have to teach math that values precise answers but also intelligent approximation, that demands the ability to deploy existing algorithms fluently but also the horse sense to work things out on the fly, that mixes rigidity with a sense of play". But later he says ""Nobody ever looks in the mirror and says "Let's face it, I'm smarter than Gauss"."" Maybe we should hope that at least one reader may grow up to be that Nobody.

Pots Landing

Sometime in the 1970s Coillte, the semi-state forestry firm, acquired one of the old steadings in the hills above us and planted it all with Sitka spruce Picea sitchensisis. By the time we arrived ~20 years later the forest formed a forbidding dark green cliff to the East of the rough track which served as the main access to Mt Leinster and other local peaks. For reasons, Coillte had excluded the ruined farmhouse and yard from the deer-fence enclosure of the forest. Notwithstanding the cliff, that farmstead was, if not a destination, at least a way-station on a longer trek; perhaps especially for small people. Storyrock was another (off-piste) picnicplatz for Dau.I and her sister..

Sometime in the 00s, a hillwalking family suffered a tragic loss and their friends-and-relations planted a tree to commemorate one whose tiny legs would never again give out and demand rest at the ruin on the edge of the forest. Mountain ash = caorthann = rowan = Sorbus aucuparia was a pretty good choice, not least because in berry-season, it really brightened that corner of the dark forest. The tree grew straight and tall, fighting for light up against the spruce. But when Coillte clear-felled their forest during Covid, the memorial rowan was exposed to the blast of any easterlies and was badly shook. I restaked it [have rope, have hammer, have stakes, have time] at least once and I know the friends-and-relations looked out for it. But this last Winter, the weather laid low the tree well before its time [insert sad emoji].

One section of the hillwalkers used to yomp about the mountain by the light of head-torches: after dark, in Winter often on Thursdays. Last Thursday they called in to "borrow a shovel" as they walked up the lane with a baby rowan, stakes, spike, hammer, sheep-fencing and energy. They were going to have a Go at memorial_tree.02. I left them to their neighbourly task and went to bed. Woke up at 0300 hrs screaming "the water, the water". You're at nothing planting young trees without a solid plan to keep the roots damp - ask me how I know. At first light I dealt with my anxiety and reported:

. . . mountain ash looks well! It takes a village to raise a tree.
I lugged a 4lt flagon of K'roe Spring up there just now and left it for the next waterer because it's not needed now.  You know this, but the nearest running water is 100m SE just across the county line where the runnel gets closest to the ditch:

I could see myself making a wee dam there but not until I'm wearing wellies.
Ar aghaidh!

Although the OS map above is more than 130 years old, it does capture how the land East of the county line is bog marsh wetland. By Sunday morning I had wellies, shovel and bucket because I have form for building recreational dams. It was slight excuse to pretend that I was creating a lake, with added dry-shod landing for the convenience of otters others: utility topping my amusement. It only took about 20 minutes, with Jacinda Adhern chatting in the background describing her orderly departure from a six year term as NZ-PM.

I didn't need wellies as my micro-dam project happened after a long dry May. You can see Lake Blob reflecting the sky behind a minimal intervention obstruction to the water flow. I dug up some mud-and-sphagnum from the bottom of a pool in the rill and dumped it in a downstream heap. It was then just barely deep enough to easily obtain a bucketful of tea-coloured water. For added utility (for waterers in dancing pumps, like) I robbed three extra flat stones to make a landing / standing. 

It's been lashing down these last tuthree days, so the baby rowan is getting well puddled in, and nobody will need to bucket water about for a good while yet. Indeed, there was a Summer down-pour after dinner last night and it's entirely possible that my pathetic two-scoops dam has been carried away. I am also assiduously collecting water for the polytunnel and we are talking about acquiring another 1 tonne IBC against El Niño Madness later in the Summer.

STOP PRESS: Before 07:00 this morning, as the clouds lifted off the hills and blue sky appeared in the East, I walked up the hill. Up beyond the Mountain Gate, the hills are alive to the sound of water, the drains are full and somebobby should really go up and fix the spill-over sites. But the dam at Pots Landing is holding. I'll go up again later this week with a shovel and drop a tuthree cut sods on top.

Wilf Rock

Thus let me live, unseen, unknown; 
Thus unlamented let me die; 
Steal from the world, and not a stone 
Tell where I lie.

When I was in Grad School in the early 1980s, I was trying to get a novel handle on the [Euro]peopling of New England and the Canadian Maritime Provinces. I did A Lot of reading about pre-colonial demographics. I also put in a lot of field-work foot-miles from Cape Breton to Cape Cod in the East to New York and up the Hudson River valley to Montreal and the St Lawrence. Starting in to Year Three of this project my boss advised me to enroll in an evening course at the Harvard Extension School. It was something like "Grave markers and iconography in colonial New England cemeteries". As reg'lar readers may suspect, I have a low threshold for "gosh how interesting, do tell me more". I can't remember any details but if you plot "flying skulls" across time and space it looks like this fashion for memorializing the beloved dead in this way swept like a wave across  New England . . . only to be replaced by "sad angels", Our teacher projected A Lot of 50x50mm slides from a very large collection.

My abiding memory is of gravestones remembering several children from one family dying within days of each other. Also considerable discrepancy in age between husband and wife. And so many dead young mothers. Death omnipresent, a belief in a happy hereafter, but people still wanted [their names and dates] to be recorded forever in this vale of tears.

My Grandfather Wilfred [L, R] was born in in 1879 at The Big House in King's County as the youngest son. There was no future there, let alone a fortune, so he upstakes and joined the Army seeing service in the Second [Colenso, Spion Kop, Mafeking, Ladysmith, that one] Boer War and on the NW Frontier.  One story is that he got rather too deeply in a romantic entanglement in India, so resigned his commission and fled to America in the 00s of the 20thC: maybe winning a section of the Hollywood Hills in a card game; maybe being in San Francisco during or just after the 1906 earthquake; maybe losing all his money to become a panhandling hobo for a while. With more certainty, he volunteered for the RNVR in WWI and lost a lung while serving a balloon-observer in the North Sea. Later he was stationed in Egypt with the RNAS (Air Service) which, in 1918, was merged with the RFC to form the RAF Royal Air Force. I'm sure there were other people who served in all three divisions of the armed forces, but he's the only one who is related to Me. When peace broke out, he became Harbourmaster at Dunmore East, which is where his only son, my father grew up. The photo was apparently snapped in 1952, when Wilfred was about the age I am now. He's got a better hat, but I've got a better sofa!

Wilfred [was] retired in 1947 and lived out his remaining days across the water in Co Wexford. He died in 1957 and was buried [R] in St Mary's, the Church of Ireland First Fruits church where his cousin (and landlady) played the organ. I always found it peculiar that there should be a (Carlow white granite) cross at the grave-head because in practice he was agnostic edging atheist. But then again, your still living rellies have the final say w.r.t. grave-goods.

The Board of First Fruits was a cunning plan which, between 1778 and 1833 funnelled a lot of money into building "established" churches (and glebes to house the rectors) across the island of Ireland. 700 new and refurbished churches over 50 years had a significant impact on the landscape of vernacular architecture. At some level of consciousness we'll have twigged "Oh, another Protestant church on that hill, down than lane" there is no need to read the sign-board, if any, to recognise the Gestalt. St Mary's has the same look-and-feel as the church in Bunmahon which is now the Copper Coast Visitor's Centre. 

Wilfred lay there among the Protestants, quietly weathering topside and composting below. Thirty-something years later, we came back to Ireland in 1990 and I would drop in to say hello if I was passing. I reported to my father that the lettering at the foot of the cross was weathered almost to illegibility. In 1998, we asked the local monumental mason to "make it better". This stone-guy emptied a £15 bag of chippings onto the concrete slab and sent an invoice for £120. Which was a bit disheartening. Shortly after that my father died in his turn and grave-keeping slipped way way down on the list of priorities. That chippings episode turned out to be useful because my letter to the mason recorded the full text of the inscription while it was still, barely, legible.

Forward another ~25 years and there were more deaths in the family. Three of them were buried in Kill, Co Waterford and a rather spectacular, somewhat foreign looking, ✞ was commissioned to mark the spot. This was all the work of Thomas Glendon, a quite-famous mason and letterer, and last year I drove a shovel to facilitate some up date-ing. We all liked the cut of Tom's lettering: very elegant, the ligatures. Tom is even older than me, and with a sense of clock ticking, we asked Tom to re-cut Wilfred's 1957 inscription.  I lied about the inscription in 2o2o. It's not Stephenson's Home is the sailor, home from the sea And the hunter, home from the hill but rather Sleep after toil, port after stormy seas [as L and below] from Edmund Spenser's Faerie Queene which has the virtue of being a) shorter than RLS b) penned, possibly in Ireland, by a planter from the Other Island. Our planter family came over about 50 years later . . . and stayed.

As they do, and like Topsy, the project growed. From two lines scrunched at the base of a granite cross to 200kg of recumbent Kilkenny black limestone slightly battered to shed the rain, and filling about 20% of the space between the curbs of the grave. That took forever several months of to-fro, but on a bitter wet and wind-driven day at the end of January, Wilf's Rock was delivered to site [R] as we watched white horses scudding across Bannow Bay.

Book 1. CANTO IV, verse XL
He there does now enjoy eternall reft
And happy eafe, which thou doeft want and craue,
And further from it daily wandereft:
What if fome little payne the paffage haue
That makes fraile flefh to feare the bitter waue?
Is not fhort paine well borne, that bringes long eafe,
And layes the foule to fleepe in quiet graue?
Sleepe after toyle, port after ftormie feas,
Eafe after warre, death after life does greatly pleafe.

Title a rather weak reference to Wolf Rock which caused HMS NormalAccident in 2002. The more familiar, because nearer, Wolf Rock has a lighthouse. Waterwolf is another, floodier, thing altogether. 

More Math Book

I had a troika of math-for-normals books on the go in parallel at the end of May.  One The Simpsons and Their Mathematical Secrets (2013) by Simon Singh was admittedly more for noodles than for normals. Maths On The Back of an Envelope (2019) by Rob Eastaway is in the tradition of John Allen Paulos [whom bloboprevs] and his A Mathematician Reads the Newspaper (1995). Numeracy is important to prevent yourself or your granny being gulled by nonsense which appears in modern media. Eastaway could, with Simon Singh, Simon Clark, Hannah Fry, Tim Harford, James Grime, Adam Rutherford, Matt Parker, Marcus du Sautoy, Alex Bellos [yes all of blobochecked] make up a cricket team of Explainers of Maths resident in the UK: who therefore know the difference among googol, google and googly.

I twigged that Eastaway was more than {one book picked of a library shelf in rural Ireland} when he wrote about being called up for a crap-detecting soundbyte by local radio. And also about canvassing an audience of teenagers for the weight in stones (rather than kilos which have been curriculum official in UK for the last 50 years). No surprises that he has worked with the UK Math Trust where Gdau.I is currently wrestling kangaroos. Ten years ago he won-a-gong from the IMA [Institute of Mathematics and its Applications] and he's written a dozen books

One of the themes in Envelope is getting numbers correct but not too correct. When RTE reports that 48.34% of people support the bacon-and-cabbage for dinner movement, the number is a blur while "half" or "50%" can be taken in. If  the number is absorbed it may trigger a question like "I wonder what the proportion was in 1996?". It was a time of transition, in 1997 my farming neighbour confessed that his family had frozen pizza for dinner the day before: induced to do so by his teenage daughter. Eastaway suggests using Zequals (a new coinage of his) when trying to get into the right ballpark. Zqualling strips all but the first significant digit. So 7 stays as 7, but 83 ⇒ 80;  83.78 ⇒ 80; 8,452 ⇒ 8000. Pre-process your sums to Zequals and you won't need a calculator but still get a good enough answer: 98 ÷ 5.3 ≈ 100 ÷ 5 = 20.

 Since we got our solar panels, my life is ruined by the kW app on my device. I put off baking until the sun is giving enough to get the oven to 200°C "for free". I put on the immersion when the sun is making 5.25kW [the max] resolving to wash A Lot of dishes or one elderly body before the water gets cold. Towards the end of Envelope, Eastaway offers a poser: which of the following uses the most electricity:

• fridge
• TV on standby
• shower 
• kettle 

Depending on how much tea you drink and how many oxters you possess, shower or kettle (~ 2000W) will win. Leaving fridge ~50W and TV-standby ~2W in the ha'penny place. Apparently, back in the day, TVs would get warm even when nothing was showing, and there was a desultory campaign to make folk unplug them when they went to bed. Not so since we did away with cathode ray tubes and went LED pixels. I knew all that, but Eastaway then riffs on to point out that the family Yaris runs at 20kW or 10x the kettle! "A 30 minute car journey uses more energy than all your domestic appliances put together: that's something to think about when doing the school run". Yes indeed. It reminds me of my dear old dad who would periodically get cost conscious and go though the house flipping off switches while muttering "every light blazing" and "harumph". And then he'd drive into town and buy another lawn-gizmo to clutter his shed.

Nothing in excess [as Delphi sed μηδὲν ἄγαν] is all very well but some excesses are way more excessive than others. Cows burping methane is waaaay more than human pooting the stuff after Beanz Meanz Heinz even accounting for there being 6x more people than cattle on the planet. We shd all give up the ould burgers [two too many poo R]: mutton, chicken, pork are all easier on the planet and lentils least of all.  But cars are an even bigger burden. 

Go Republic!

Today in Italy it is Festa della Repubblica because 80 years ago, just after WWII, they held a plebiscite [ballot-paper] to determine whether to continue with a monarchy (but without Mussolini, he dead) or go full-metal Republic. It wasn't a slam-dunk, but a 54% majority voted for Republic. This iconic picture by photo-journalist Federico Patellani came to symbolise the optimism that people felt for a new system of governance. The woman in the picture wasn't named as Anna Iberti, from Milano, until decades later. Patellani blasted off an entire roll of film on that shoot and other images are available on the internet. But everyone likes the ragged hole torn in the newspaper of record: it's a metaphor of the shaky start to the Republic: so many parties, so many elections.

The referendum was not held in some provinces of Italy which were a) still occupied by the allies in 1946 and b) diplomatically incertae sedis: 

• The Julian March = Venezia Giulia consisting of Trieste and Fiume which was eventually split between Italy and Yugoslavia.
• Bolzano =  Trentino-Alto Adige/Südtirol up in the Alps, fell to Italy, although it took a generation for Austria to finally quieten its aspirations for sovereignty there.
• Zara a Italian enclave city deep in Dalmatia, which administratively included two archipelagos out in the Adriatic: Lagosta and Pelegosa. All these are now part of Croatia

Pelagosa was the site of a battle between two submarines during WWI. On 5th Aug 1915, the Italian sub Nereide was sunk by SM-5 of the Austro-Hungarian navy, with the loss of all hands. The Captain of SM-5? Linienschiffsleutnant Georg Ritter von Trapp . . . as in Sound of Music, Anschluß, Christopher Plummer.  Phew! that's today's rabbit-hole: coming up for air and breakfast.

Moral HazMat

There were elements of moral hazard in The Blob's recent voyages round the world of shipping. Shipping companies are profitable because they employ desperate non-union sailors, register the ships in-foreign and power them with bunker fuel [mmm sulphur, love the smell of phenolics in the morning]. We the people and we the planet tolerate these shenanigans because we like cheap Stuff. Ships are complex machines. Hard as it is to assemble these engineering marvels, deconstruction is also difficult. If MegaCorp had to build safe and clean ship-breaking & disposal into their business plan, shipping goods would be more expensive.

End of life issues are also central to Wasteland The Dirty Truth About What We Throw Away, Where It Goes, And Why It Matters (2024) by Oliver Franklin-Wallis. which I just raced through on Borrowbox. At the turn of the century, Fruit of the Loom [remember them?] stopped making apparel in Donegal when government a) imposed a structure of minimum wages and maximum working week b) stopped supporting foreign direct investors by building them sheds c) [mainly] corporate HQ stretched their debt to breaking point. I can now buy cheap shirts in Penneys or expensive shirts in M&S but they are still made by sweated labour in Asia. I haven't actually bought a new shirt this century. My father died in 2001 and I snagged all his blue corporate shirts. When they had worn to rags, my FiL Pat the Salt kindly died to restock my wardrobe. I have the fashion sense of a brick, so dontgiveadamn how many buttons are on my cuffs.

For others, it matters, and/or their Penney's blouse was in rags after three washes; so new kit must be bought. Guess it keeps the economy rolling. But shame prevents sending last year's shirt to landfill, so some people feel better by donating their cast-offs to Oxfam. Oxfam cherry-picks the designer brands, prices and hangs them. They get bought by bougie students. They rest is sent to Oxfam Centraal where it is scooped into heaps with a fromt-loader and compressed into bales. These are shipped to, say, Accra, Ghana where they are auctioned off to fabric re-cyclers. But here's the thing: if the waste stream is top-sliced by Oxfam and its dogoodnik customers, there is only trash left and Ghanaian rag-pickers can't make a living so the whole shipment goes direct to Kantamanto dump. The unintended consequence of your conscientious re-cycling makes life worse for the dispossessed in West Africa. Oliver F-W's book is full of these counter-intuitive factlets. And so many acronyms PET PFAS POP PCB PAH - and that's just Ps.

I thought I was on top of waste and pollution - I used to teach water chemistry after all. But, blimey, I didn't know the half of it. Wasteland will open your eyes . . . and not in a good way. 

In a strange way, in my 'mind', ruminations on Moral Hazard reminded me of a recent interview of Alvin Roth by philosopher-physicist Sean Carroll. Roth has made a career out of looking a 'questionable' markets; and has written a book Moral Economics. One useful definition of 'questionable' in this context is cases where such-a-thing is illegal in some jurisdictions but accepted in others. You can't sell your blood plasma in Ireland or in much of Western Europe; you may only donate it. There would be a shortage of blood and blood-products in European Clinics and Hospitals except for the fact that billions of units are sold into our health systems from the USA . . . where folk can sell their own blood. Maybe we shd think about incentivizing donors here rather than begging them. The Mindscape podcasts all come with added [searchable] transcript so you don't need to listen to the whole thing. Roth was a driver in establishing Kidney transplant rings [whc bloboprev] to maximize the match among donors and dialysees.

Moral Hazard [bloboprev] occurs when The System is structured so that players can make money by taking risks but know that they can walk away if their cunning plan has unintended consequences. Olde Timey miners in the American West made holes in the landscape; abstracted gold, copper, zinc, silver, lead and then loaded up their burros and trotted off to the next prospect. Mammy Someone else would deal with the toxic desert which had been brought to the surface. In this century, executives at Irish Banks made A Lot of money geeing up the Celtic Tiger with doubtful loans . . . but, considered too big too fail, were bailed out by Mammy the Irish Govt with help from we the tax-payers.

Simpson's Gogglebox

I had an Epiphany on 6th of Jan 2026 and stopped watching YT.  60 days later, I acknowledged that by saying No to the algorithm, I'd freed up a lot more time to sit on the sofa page-turning books. Lack of YouTube doesn't affect my diet of earbooks half so much: my borrowbox coups are mostly consumed when I am out and about. I was in Tramore Library on a recent Monday morning returning a book and thought I'd browse the shelves. On my way to non-fiction (300 Social Sciences 400 Language 500 Science 600 Tech) I was surprised to see a Whole Block of shelves labelled Crime Fiction. There was more shelf-metres in that category that All of 300-699. I find that Quite Peculiar but I recognise I'm in the minority on that one.

During a brief gap in my jury-service days, I nipped down to the County Library and borrowed a couple of books. One of which was The Simpsons and Their Mathematical Secrets (2013) by Simon Singh [rendered R]. I have name-checked Singh for kicking homeopathy; unaware of the unintended consequences [no placebo] of such righteous punching down. But generally Singh is a force for good: edutaining STEM more widely to diversify the lives of math-anxious folks and maybe making them [feel] smarter.

You're wrong if you know that Matt Groening made 800+ episodes of the Simpsons. The show's success required-allowed the hiring of a rotating roomful [nearly a gross!] of comedy writers. A Lot of them were [Harvard] college educated and their demographic leaned nerd science-guy [sex-ratio ~1F:4M. Singh ploughed through the footage and alt.tv.simpsons and interviewed the writers to winkle out the math references. A lot of them Easter Eggs which lit up the day of those who 'got' them. Getting them might require using VHS to step through a sequence frame by frame to find a subliminal nerdnik gag. The Simpsons writers were cracking jokes about Googol and Googolplex when Sergey Brin was still in High School

I was born too early for The Simpsons, by the time it launched in late 1989, we'd given up the ould telly several years earlier. But, during my YT years, I clocked enough hours to know that the cast live in Springfield, US; that Lisa is a genius and has an older brother called Bart. But I rate puzzles and Easter Eggs, [one of Singh's other works is The Code Book] and my lack of Simpsonology doesn't impinge much on my appreciation of Singh's book.

The book has several intercalated 'exams' where you can test yourself on the larfometer 

• What did 0 say to 8?
• Nice belt!
• What are the 10 kings of people in the world
• Those who understand binary and those who don't.
• Prove that a horse has an infinite number of legs
• Horses have an even number of legs: two hind legs at the back and forelegs at the front. That's a total of six legs, which an odd number of legs for a mammal. The only number which is both odd and even is infinity. Therefore horses have an infinite number of legs.
• Why do computer scientists confuse Hallowe'en and Christmas?
• Because Oct.31 = Dec.25 . . . and bin.11111 = Dec.31 

This seems the best chance I'll ever have to do Simpson's Paradox on The Blob. It forms half of the current book's Chapter 12 in which Congressional votes for the 1964 Civil Rights Act are tallied with unexpected results.

Because the Civil War is was still fresh in everyone's memory, having finished only 99 years previously, it is interesting to see how votes compared where Jim Crow hadn't run [North] and where it had [South].

Party	Northern	%	Southern	%	National	%
Democrats	145/154	94%	7/94	7%	152/248	61%
Republican	138/162	85%	0/10	0%	138/172	80%

These data show that, in percentage terms, as expected, Democrats were more in favor of civil rights than Republicans in both North (94% v 85%) and South (7% v 0%) regions BUT when the country as a whole is considered Republicans seem to be more Civil Righty. That's paradoxical, no? It hinges on several numerical diffs which are smoothed out if you consider only % of votes. 

• There are 3x more people and their representatives in the North than in the former Confederate States
• Democrats were the party of power in the South (Lincoln was a Republican)
• There is cross party lack of support for Civil Rights across the South; even the Dems there are luke warm  

One final thing to mention (which is the subject of Singh's Appendix 2) is Euler's Identity

e^πi + 1 = 0