Tuesday, 12 June 2018

Monday 11 June 2018


09:00 I sit down in front of my laptop and take a little look online. Steve, my brother in law, has sent me an interesting web article about a bunch of honey bees and their apparent mathematical abilities, which have been proven by a recent experiment.

Researchers proved that honeybees could learn to understand the concept of what the number zero means as a numerical quantity, which shows a surprising level of mathematical sophistication.

a typical honeybee, thinking of some mathematical problem
how cute he looks, that little guy !!!!

In their experiment, the researchers showed the honey bees a number of cards, each with a different number of symbols on. And it was always the cards with the fewest symbols that had sugar water behind them. The honey bees like sugar water, so they soon learned to select that card with the fewest symbols on: and if they had the option of a card with no symbols at all (ie the equivalent of the number zero), they always chose this card.



How cute they are, honey bees !!! And the fact that they are proficient in mathematics make them only cuter in my eyes! What dear little fellows !!!!!

People have 10 fingers and 10 toes, and that's why we have formulated our decimal system. As far as I know, honey bees do not have fingers or toes, but each honey bee has 2 feet: perhaps the binary system is the natural choice for their situation.

Hans Andersen, the famous Danish author, was very interested in inchworms, who in the classic Danny Kaye movie seem to count by using the powers of two, as they crawl over a crop of marigolds in the local school's garden, just outside the school's biggest window: by chance, the students were starting on a math lesson when Andersen  was passing by, which was lucky.

Two and two are four, four and four are eight etc ....

09:30 I continue to surf the web. I see that honey bee's relatives, the bumble bees, may certainly have been living on earth for a long time - that's something there's no doubt about!

546 million-year-old tiny footprints, the oldest known - good grief!

The oldest known "footprints" left by an animal have recently been uncovered in southern China. The identity of the creature that made the 546 million year old tracks is still unknown, but they come from the period when the earliest animals are believed to have evolved. The tracks probably belong to a two-legged animal, such as a bumble-bee.

Fascinating! It is one of my obsessions to try to imagine the unimaginable. And 546 million years is a concept that is very difficult to grasp, no doubt about that. The whole thing makes my own short life extremely insignificant, to put it mildly. And all my little problems: it's obviously not worth worrying about them, thank goodness! What a relief!!!!

Of course, the age of the universe itself is even greater than 546 million years, no doubt about that, and the universe itself is billions of light years wide.

And how will our current universe die? Will it eventually stop expanding and collapse in on itself, back where it started when the big bang occurred? And after that will there be another big bang and a new universe? Has there already been an infinite series of big bangs in the past and yet another infinite series of big bangs to come in the future? I think we should be told - there must be someone who knows !!

infinity - something to celebrate!

10:00 I call Scilla, a member of our U3A Danish group, who has not been very well recently. I ask about her health. In addition to being a member of our U3A Danish group, she is also the leader of the local U3A Old Norse group. In late April, while Lois and I were in Australia, she was hospitalized due to kidney problems and general weakness. She is currently staying with her son in Frome, Somerset.

She says she's been a little better since I last called her a couple of weeks ago, but she still tends to get dizzy and so cannot move around very easily. She does not expect to be able to return to her apartment in Cheltenham for at least another 2 months - poor Scilla!

But she has her computer with her now - she and her son recently came to Cheltenham to pick it up. I ask her if she wants me to send her a copy of "Line", the Danish crime novella, which is our  U3A Danish group's current project.

The novel is about a famous-in-Denmark clairvoyant and reality tv star who apparently committed suicide by sticking a pair of scissors into his stomach, just outside the famous abandoned church at  Skagen, on the north coast of Jutland. But was he in fact murdered?

My god - a peculiar and creepy story - that's something I have no doubts about, and, in short, a crime novella which will help Scilla to keep her brain ticking over: it's just her "bag"!

The abandoned church at Skagen, on the northern coast of Jutland, 
where a Danish celebrity clairvoyant and tv reality star 
apparently stuck a pair of scissors into his stomach - yikes!

The abandoned church in happier times

10:30 Lois and I go out into the backyard and do a little weeding in the vegetable garden and around the fruit trees. After an hour (our personal time limit), we stop working and relax with a cup of coffee on the terrace.

12:30 We have lunch and afterwards I go to bed and take a huge afternoon nap.

15:00 I get up and jump on my exercise bike. I cycle my usual 6 miles. 

We drive over to the mailbox next to the former art college to send the Danish crime novella off to Scilla, and post some other letters: mostly letters from Lois to various members of her church. She is responsible for the financial aspects of the church's bible seminar program.

18:00 We have dinner and spend the evening watching television, an interesting documentary about Britain's suffragette movement. The host of the program is the charming Lucy Worsley.


I have to admit that I have not been feeling particularly enthusiastic about watching this program. The title itself is a bit of a turnoff: it contains the presenter's name, which is always bad news - the presenters themselves are the focus in too many of today's documentaries, which is a bit of a shame.

Additionally, I do not care much for presenters of historical documentaries who insist on dressing up as people from the period they are talking about. And Lucy Worsley is definitely the worst offender - she needs no excuse to indulge herself in the BBC's wardrobes. My god, what madness !!!!

Finally, I do not like historical reconstructions in documentaries - I have a good imagination and I prefer to imagine the past, rather than watch professional actors, who I know are only playing a part.

My god, I'm such a whinger, no doubt about that !!!

Having said that, this program is very informative about women's long struggle for voting rights, I have to admit. However, it is a bit of a shame that there is no time for a sensible debate also between academics about some of the historical issues that the program was raising: for example, why the Liberal Party for years repeatedly promised to introduce a voting rights law but did not do so when they were in power and had the opportunity to do it. Good grief, what a crazy world we live in !!!!

22:00 We go to bed - zzzzzzzz !!!!!

Danish translation

09:00 Jeg sætter mig foran min bærebare og kigger lidt på nettet. Steve, min svigerbror, har sendt mig en interessant webartikel, der handler om en flok honningbier og deres tilsyneladende matematisk evner, der er blevet bevist  af et nyligt eksperiment.

Forskere beviste, at honningbier kunne lære at forstå konceptet om, hvad tallet nul betyder som en numerisk kvantitet, hvilket viser en overraskende niveau af matematisk raffinement.

I deres eksperiment viste forskerne honningbierne en række kort, hvert med en varierende mængde symboler på. Og det var altid de kort med de færreste symboler på, der havde sukkervand bagved. Honningbierne kan godt lide sukkervand, så de snart lærte at vælge det kort med de færreste symboler på: og hvis de havde optionen af et kort med overhovedet ingen symboler på (dvs ækvivalenten af tallet nul), valgte de altid dette kort.

en typisk honningbi, tænkende på et eller andet matematisk problem
hvor ser han dog sød ud, den lille fyr!!!!

Hvor er de dog søde, honningbier!!! Og det, at de er dygtige til matematik, gør dem kun sødere i mine øjne! Kære lille fyre!!!!!

Mennesker har 10 fingre og 10 tæer, og derfor har vi formuleret vores decimalsystem. Så vidt jeg ved, har honningbier ingen fingre eller tæer, men enhver honningbi har 2 fødder: måske er det binære system det naturlige valg, for deres vedkommende.

Hans Andersson, den berømte danske forfatter, interesserede sig meget for målerlarver, der i den klassiske Danny Kaye-film, ser ud til at regne ved hjælp af potenser af to, mens de kravler over en række morgenfruer i den lokale skolens have, lige foran skolens største vindue:  tilfældigvis var eleverne i gang med en matematisk lektion, da Hans kommer forbi, hvilket var heldigt.

To og to er fire, fire og fire er otte osv....

09:30 Jeg fortsætter med at surfe nettet. Jeg ser, at honningbiers slægtninge, humlebierne, helt sikker kunne have boet i lang tid på jorden – ingen tvivl om det!

546 millioner år gamle fodspor, de ældste kendte – du godeste!

De ældste kendte "fodspor" efterladt af et dyr er blevet afdækket i det sydlige Kina. Identiteten af ​​skabningen, der lavede de 546 millioner år gamle spor, er stadig ukendt, men de kommer fra den periode, hvor de tidligste dyr antages at have udviklet sig. Sporene tilhører sandsynligvis en tobenet dyr, såsom en humlebi.

Fascinerende! Det er en af mine besættelser at prøve at forestille mig det uoptænkelige. Og 546 millioner år er en periode, der er meget svær at fatte, ingen tvivl om det. Det hele gør mit eget kort liv ekstrem ubetydeligt, for at sige mildt. Og alle mine små problemer: det er ikke værd at bekymre mig om dem, gudskelov! Sikke en lettelse!!!!

Selvfølgelig er alderen af selve universet endnu større, ingen tvivl om det, og universet er milliarder af lysår vidt.

Og hvordan vil vores nuværende univers dø? Vil det kollapsere ind i sig selv, hvor det startede fra, da det store brag skete? Og vil der så være et andet store brag, og et nyt univers? Har der været en uendelig serie af store brag i fortiden og endnu  en uendelig serie i fremtiden?  Jeg synes, vi skulle blive fortalt – der må være nogen, der ved!!

 uendelighed – noget at fejre!

10:00 Jeg ringer til Scilla, en medlem af vorers U3A danske gruppe, der for nylig ikke har haft det ret godt. Jeg spørger om hendes helbred. Udover at være medlem af vores U3A danske gruppe, er hun også leder af den lokale U3A oldnorske gruppe. Sidst i april, mens Lois og jeg var i Australien, blev hun indlagt på  hospitalet på grund af nyreproblemer og almindelig svaghed. Hun bor for tiden hos sin søn i Frome, Somerset.

Hun siger, at hun har det lidt bedre, siden jeg sidst ringede til hende, for et par uger siden, men hun har stadig tendens til at blive svimmel, og dermed kan ikke bevæge sig meget let. Hun forventer ikke at kunne komme tilbage til sin lejlighed i Cheltenham  i mindst 2 måneder – stakkels Scilla!

Men hun har sin computer nu, som hun og hendes søn for nylig kom til Cheltenham for at hente den. Jeg spørger hende, om hun vil have at jeg sender hende en kopi af ”Line”, den danske kriminovelle, der er vores U3A danske gruppes nuværende projekt.  

Novellen handler om en dansk-berømt clairvoyant og reality-tv stjerne, der tilsyneladende har begået selvmord ved at stikke en saks i sin mave, lige udenfor den berømte tilsandede kirke i Skagen, på Nord-Jyllands nordiske kyst. Men blev han faktisk myrdet?

Du godeste – en mærkelig  og uhyggelig historie – det har jeg ikke nogen tvivl om, og kort sagt en kriminovelle, der vil hjælpe Scilla med at holde hjernen tikkende over: det er lige hendes ting!

Den tilsandede kirke, Skagen,  på Jyllands nordiske kyst, hvor en danskberømt
clairvoyant og tv-realitystjerne tilsyneladende stak en saks i sin mave – yikes!
Kun kirkens tårn er tilbage efter adskillige sandstormer

Den tilsandede kirke i lykkeligere tider

10:30 Vi går ud I baghaven og luger lidt i grøntsagshaven og omkring frugttræerne. Efter en time (vores personlige tiddgrænse), holder vi op med at arbejde og slapper af med en kop kaffe på terrassen.

12:30 Vi spiser frokost og bagefter går jeg i sengen og tager en gigantisk eftermiddagslur.

15:00 Jeg står op og hopper op på min kondicykel. Jeg cykler mine sædvanlige 6 miles. Vi kører over til postkassen ved siden af den tidligere kunstakademi for at afsende den danske kriminovelle til Scilla og andre breve: for det meste breve fra Lois til forskellige medlemmer af hendes kirke. Hun er ansvarlig for de financielle aspekter af kirkens bibelseminarprogram.

18:00 Vi spiser aftensmad og bruger aftenen på at se lidt fjernsyn, en interessant dokumentarfilm, der handler om Storbritanniens  suffragette-bevægelse. Programmets vært er den charmerende Lucy Worsley.


Jeg må indrømme, at jeg ikke har været særlig entusiastisk over at se dette program. Selve titlen er lidt af en turnoff: den indeholder værtens navn, hvilket altid er dårlig nyhed – selve værten er fokussen i for mange af nutidens dokumentarfilm, hvilket er lidt af en skam.

Derudover holder jeg mig ikke ret meget af de værter af historiske dokumentarfilm, der insisterer på at klæde sig ud som mennesker fra den periode, de fortæller om. Og Lucy Worsley er absolut den værste lovovertræder – hun behøver ingen undskyldning for at forkæle sig i BBCs garderober. Du godeste, sikke et vanvid!!!!

Til sidst kan jeg ikke lide historiske rekonstruktioner i dokumentarfilm – jeg har en god indbildningskraft, og jeg foretrækker at forestille mig fortiden, snarere, end at kigge på professionelle skuespillere, hvem jeg ved, kun spiller en rolle.

Du godeste, jeg er sikke et pivehoved, ingen tvivl om det!!!

Trods alt det, er dette program meget informativt om kvinders lange kamp om stemmeret: det må jeg indrømme. Det er imidlertid lidt af en skam, at der ikke er tid til en fornuftig debat mellem akademiker om nogle af de historiske spørgsmål, som programmet handlede om: for eksempel hvorfor det liberale parti i årevis igen og igen lovede at indføre en stammeretslov, men ikke gjorde det, da de var med magten og havde lejligheden til at gøre det. Du godeste, sikke en skør verden vi lever i !!!!

22:00 Vi går i seng – zzzzzzzz!!!!!

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