My rediscovery of The Sieve of Eratosthenes
oktober 18, 2021 Kommentarer inaktiverade för My rediscovery of The Sieve of Eratosthenes
I’ve been playing around with combining the heavenly stems and earthly branches (干支) in numerical form. The ten heavenly stems are represented by digits 0 – 9, while the earthly branches by the digits 0 – eleven, having created special digits for ten and eleven. (See following illustration).
I arranged the combined digits in a circuit like a clock, and then colorized each according to how well they are divisable. See drawing underneath:
I then noticed that the colors were symmetrical mirrored along the 0/60 – 30 line.
Then I saw that the primes were almost symmetrical too! And if I redifined these numbers as ”primes relative to 60”, they were also symmetrical. The definition being: ”those numbers that do not share the same prime factors with 60, i.e. 2, 3, 5”. This means that if x is a ”prime relative to 60” then there is also a y that is a ”prime relative to 60”, such that x+y = 60!
Actually I found out that this was basically because of the ”primes relative to 30 = 2x3x5” were also symmetrical, and that the symmetry would continue for each reiteration of digits. Thus, if x is prime relative to N, then N+x is too!
I even found this true with ”primes relative with 6 = 2×3” and with ”primes relative with 15 = 3×5″. I conjectured that this would be the case even for N = 210 = 2x3x5x7, which would eliminate those numbers divisable with 7.
I then found the following article on The Sieve of Eratosthenes: https://arxiv.org/pdf/1905.03117.pdf
I found out that ”primes relative to 30” are termed ”3-primes”.
I had independently discovered The Sieve of Eratosthenes and the results of the first two theorems in the article, even for a random pick of primes!
Here are two excerpts from the above article that illustrate this:
Religions and ideologies cannot be proved
juli 18, 2015 § 2 kommentarer
One thing I’ve learnt: You can’t prove a religion to be true. And those basing their religion on so called proofs are ultimately living on delusions. Looking for proof could even be dangerous as Leonard Cohen sings in his song ”Hallelujah”:
Your faith was strong but you needed proof
You saw her bathing on the roof
Her beauty and the moonlight overthrew you
She tied you to a kitchen chair
She broke your throne, and she cut your hair
And from your lips she drew the Hallelujah
A second thing I’ve learnt: You can’t prove any ideology or any other world- or life-view either. … And of course, that goes for the view I’m putting forth here and now.
So all we can do is lean on assumptions.
I still talk to God, but I don’t demand any proof anymore.
Explaining the crazy Entanglement
april 10, 2015 § Lämna en kommentar
Entanglement must maybe the craziest and the most liberating idea in physics today !
So I tried to find a youtube clip that would explain entanglement withou too much physics. It wasn’t easy, … but then I found the podcast Invisibilia with an good introduction to entanglement in the first 5+ minutes in their episode below:
If you have any other good introductions to entanglement, add them in the comments.
God discovers Himself through Mankind? – or, my interpretation of Leonard Cohen’s ”Suzanne”
april 7, 2015 § Lämna en kommentar
I have fallen in love with the song ”Suzanne” by Leonard Cohen. It’s an unusual song since he blends the themes of human love and divine love. As if human love is in a way divine, and divine love is in a way human. The song is also very curious since, as a Jew, he sings of Jesus in a very intimate way.
I have meditated a great deal on this song’s lyrics, But then, only a few days before Easter, the second verse of Jesus really stood out. I quote it here:
”And Jesus was a sailor, when he walked upon the water.
And he spent a long time watching from his lonely wooden tower.
And when he knew for certain only drowning men could see him,
He said, ”All men will be sailors then, until the sea shall free them.”
But he himself was broken, long before the sky would open.
Forsaken, almost human, he sank beneath your wisdom like a stone.
And you want to travel with him, and you want to travel blind.
And you think maybe you’ll trust him, for he’s touched your perfect body with his mind.”
This verse brings Leonard Cohen’s own interpretation to the life of Jesus, which could seem to be a bit ”daring”. But I don’t mind that, since any new ideas anyone would have of God or Jesus could be considered heretical by the establishment. Jesus himself was seen as heretical by the Jews of his day; and Leonard, as a Jew, is taking a risk; so I too, as a Christian, will take a risk …
I think what Leonard is describing is Jesus’ own path towards reaching mankind. First he describes Jesus walking on water, or in other words, Jesus lives on top of life’s problems and worries with great wisdom. Jesus then also takes note that other people’s wisdom would carry them for a while, but sooner or later it will fail them. At that moment, Jesus sees that people will be ready to trust the his wisdom, and let Him pull them out of the murky waters.
But then something happens. The dreary human life overtakes Jesus little by little, and the reality of human life even erodes his ability to rely on his godly wisdom. Jesus slowly sinks down into human frustration, disappointment, depression: His godly ideals and wisdom can no longer carry him above the waters. He sinks like everyone else … He shares our humanness.
Jesus’ path is God’s path. Mankind may have lost their way, but it seems that even God has lost his way to mankind too.
But then something else happens: People then notice Jesus’ love to them nonetheless, despite His weakness. It’s not His strength they need: It’s His love they need. And it’s as if Jesus loves them without himself being really conscious of it. They reach for Jesus hand, and Jesus reaches for their hand.
(I came to this last interpretation when hearing the lyrics in verse 1 and 3 about Suzanne acknowledging his love).
It’s almost as if it were Mankind saving Jesus or God. Now that sounds heretical, but what if it helps answer the question of why God made us and the universe? Is the whole universe a way for, not only Mankind, but even for God to learn what perfect love is all about? Or maybe less heretically: Is the whole universe a way for God to discover Himself!? Discover Himself through Mankind!? Wouldn’t that be an amazing Easter message?!?!

”suzanne and zoe”. By judy_and_ed @ flickr. Source: https://www.flickr.com/photos/65924740@N00/8560180809/ License: (cc) (by-nc)
Jag är bortskämd att hitta Guds personlighet i Jesu mänsklighet
maj 28, 2014 § 1 kommentar
Den som lär annorlunda och inte håller sig till vår herre Jesu Kristi sunda ord och till det som vår religion lär, han är förblindad och okunnig, med en sjuklig lust att diskutera och träta. Sådant leder till avund, strider, förtal, misstänkliggöranden och ständiga bråk bland människor som har mist förståndet och tappat bort sanningen …
1 Tim 6: 3-5
Men vi är Guds barn. De som vandrar med Gud och känner honom lyssnar till oss. De andra gör det inte. Detta är ett annat sätt att ta reda på om ett budskap verkligen är från Gud, för om det är det, lyssnar inte världen till det.
”Att vara kristen måste vara mer … än så”
maj 24, 2014 § 1 kommentar
Hej,
Ville dela med mig något svårtydd jag var med om när jag gick hem från att tagit ut cash från bankautomaten igår kväll.
Kanske ni kan ge mig kommentarer och egna reflektioner.
Jag var trött, fysiskt trött, och psykiskt (var med om några grejor på dan) trött, och jag hade tagit en bira (en god ale) på linnéteressen med arbetskamraterna
Funderade på alla problem jag ackumulerat under senaste decenniet. En vanlig troende skulle säga att det är nog tecken på att jag inte överlåtit mitt liv till Gud.
OK, jag kanske skall överlåta _allt_, varje facet av mitt liv till Jesus. Jag släpper all ansvar, och låter Jesus ta över helt och hållet, göra Honom Herre och Kung i mitt liv.
NÅT HÄNDE SEN
På ett ögonblick så var det som någon hade sprutit in en fett kanyl ångestdämpande eller någon sorts drog i mig.
Allt blev med en gång fridfullt.
Fanns inga hot kring mig, villasamhället, bilarna, och korvkiosken med besökarna var fridfulla, såsom på julafton (fast utan snö)
Sävedalen var en förort till himlen, i stället för Göteborg.
Med en gång upplevde jag en fridfull syskonskap med alla andra kristna syskon.
Borta var alla dispyter. Nej, vi förstod varandra, skyddade varandras ryggar.
Det är vi mot dem, som ännu inte upplevt detta underbara, självklara.
Jag gick några centimeter ovanför marken, och en lycklig Hollywoodscen skulle inte kunnat göra det bättre.
PÅ ETT ÖGONBLICK VAR JAG I EXAKT SAMMA SINNESNÄRVARO SOM PÅ HOSIANA-TIDEN !!!
DET VAR SOM OM DET VAR IGÅR !!!
… men sen tänkte jag: vill jag ha detta?
Jag tänkte: är det detta som är att följa Jesus? att följa Hans bud?
Nåt i mig sa: Nej !!! … jag vill inte Detta !!! … jag vill inte Detta livet !!!
Och sakteligen bröts förtrollningen.
Och jag började undra vad jag precis var med om.
En sorts hjärntvätt?
Nej, vem har i så fall hjärntvättat mig?
Kanske någon sorts självpåkallad hjärntvätt?
Eller är inte detta att göra Jesus till Herre i sitt liv?
Varför ville jag inte ha det, trots friden?
JAG TROR JAG SA ”NEJ” EFTERSOM DET KÄNDES ATT JAG INTE LÄNGRE VAR MIG SJÄLV !
Jag var endast en cell i en större obestämd kropp.
Men är det inte detta som är att korsfästa sitt kött?
Att vara del i Kristi kropp?
_ _ _ _ _
Frågorna hopar sig.
Varför sa jag ”nej”?
Var det mitt ”kött” som sa ”nej”?
Är jag egentligen inte definitionsmässigt Kristen?
Vad är att vara Kristen?
_ _ _ _ _
Vet inte om detta förklarar jag gjorde bakut, men jag har frågat mig det senaste året vad kärnan i det nya förbundet egentligen är?
Med bakgrund i judarnas synvinkel, så torde det vara det som hände Påsk och Pingst.
Och så, precis nu i veckan, förstod jag att något som liknar en initiering i ett förbund finns i Joh 13-17. Detta skrev jag om i min förra bloggartikel Royal Flush in Hearts. Det är i princip sista måltiden beskriven i text.
Det kan hända att jag undermedvetet kände att denna ångestdämpande religiösa hjärntvättsdrog (jag är medveten om att jag riskerar blasfemi, men jag vet om jag är ärlig med Gud, så är han ärlig med mig) inte rimmade med detta nya förbund som Jesus introducerar under det sistamåltiden da’n före påskafton.
_ _ _
Min hypotes är att mycket av min (förra) kristna identitet är i själva verket en mänsklig gemenskapskänsla, som uttrycker sig annars som nationalism, eller som blåvitare eller gaisare.
Jag känner att vara kristen måste vara mer, måste gå djupare än så …
Era reflektioner och kommentarer?
_ _ _
Fortsättning följer i min nästa inlägg ”Jag är bortskämd att hitta Guds personlighet i Jesu mänsklighet”.
Royal Flush in Hearts
maj 21, 2014 § 1 kommentar
Royal Flush is the highest hand in poker. What is the ”highest hand” in the Bible et al.? What is the significant defining words in Biblical history and the history of our world?
I would say Gospel of John, chapters 13-17. They are the Bible’s Royal Flush in my opinion. And which suit is His royal flush, someone may ask. Definitely Hearts! John 13-17 is the Bible’s Royal Flush in Hearts! The hinge of which all the history of mankind turns, and maybe of which all the history of the universe turns. This Royal Flush in Hearts tell why this world exists, why we exist, why the Messiah came, what the Messiah means for us, who God means for us.
During the Pesach (Easter), the accuser called on the Messiah to show his cards in a all-in. The accuser doesn’t know His hand, but the He tattle-tells his followers in John 13-17.
During the Pesach week, the Messiah shows his cards one by one.
And then during Shavuot (Pentecostal), the Messiah gathers everyone’s poker chips, including all of chips of the accuser!!

5/365 Royal Flush on the RIVER
(cc by-sa) Some Rights Reserved
”5/365 Royal Flush on the RIVER” by Ray Dumas @flickr
Discovery of new term and concept for ”faith” – Part 1
april 12, 2014 § Lämna en kommentar
I would like to introduce to you a new term and a new concept for ”faith” which I just recently stumbled across. It would be pretty astonishing if this concept would be new for mainstream Christian theology, but that could pretty well be the case, for historical reasons. (See next paragraphs about that). Personally, this new concept of ”faith” came as a needed component in my struggling life of faith, so maybe this discovery is flavored by this need, but you as a reader can later decide if this is really a new discovery or not. I say ”later”, because this blog will be a little bit of a background to the discovery.
Historically, we have been caught between pillar and post, between James and Paul, when it comes to faith. So we have been literally blinded to any other outlook to what ”faith” could be.
This is unfortunate. I am fairly convinced that the difference of opinion we believe James and Paul had was a religious chimera originating from the schism of the Jewish and non-Jewish Christian communities. A typical cultural clash. Since the schism and loss of communication and understanding of the others mindset, we have not been able to understand the mindset of James, and to a certain degree, not of Paul either, since he is addressing the ”God-fearers,” who were sympathetic to Judaism. Because these two communities have totally different religious mindsets (to this day), we have not and can not understand the others mindset, ever since the time we denied the others existence, (that is, through the whole of orthodox church history).
The reason why I am fairly convinced, is because a few weeks ago I compared James and Paul on the issue of faith, but with consideration of the mindsets of these two authors. What I found is that they could very well be saying the same thing, but with different mindsets. James says specifically that he is writing to the twelve tribes, so he is a Jew writing to Jews. So when reading James you must put on the semantic glasses of the Jew. Paul though is writing to both Jews and non-Jews, but when warning the Galatians, for example, he is talking to non-Jews, and probably the so called ”God-fearers”, so when one reads Paul you need to put on the semantic glasses of the non-Jew. So when I read the pivotal verses about faith in the letters of James and Paul with the different mindsets taken into consideration, I found an astonishing third viewpoint about faith that harmonizes the two! I’ll quote from myself (from material not published yet):
[…]
But the Gospel is seen differently by Jew and Gentile. To the Jew, the Gospel is a deepening of the Law (=instruction from God to His people Israel) through faith in the Messiah. To the Gentile, the Gospel is the realization of the purpose of their faith, that is the realization of true communion with God and Mankind. For both Jew and Gentile, this is made possible by the Law of the Spirit. But the vocabulary to describe this is different for Jew and Gentile.
For the Jew who had the Law, they received faith in the Messiah in order to fulfill the True Intent of the Law in them, the Law of the Spirit. For the Gentile who already had faith, they received the Law of the Spirit of the Messiah in order that their faith in God would fully and totally reach its goal.
[…]
My conclusion: James and Paul are actually saying the same thing about faith, but with different mindsets, and thus with different words and expressions. I think we can express what James and Paul is trying to say in the following phrase: By faith we live by the Law of the Spirit.
Now, I don’t pretend that I know precisely what this means, and I guess it all boils down to what ”faith” here is supposed to mean. I think my ignorance has to do with the loss of experience and the loss of vocabulary, both mine and the Church’s. … (Our theological history has worsened our understanding of these terms, especially the term ”Law,” for which we have no longer the understanding of its origin and dynamic in the Israeli covenant. Instead we have added on laws from this Law as a sort of morality, which is both law to us (because they are ”Biblical”) and not law to us (so that Paul won’t get angry 😉 ) …)
But I think the abovementioned ignorance of what it means to ”by faith, live by the Law of the Spirit” is greatly reduced with my and maybe our discovery of a new term and concept for ”faith”! It is a discovery of what ”faith” could have meant before the orthodox church cut its cord with the Jewish Christians. … But instead of just saying it, I will let you have the joy of discovering it from the source from where I myself discovered it: In a quote from Ephesians 2:8-9 from the OJB (Orthodox Jewish Bible) version at this ”frantic” webpage: http://www.afii.org/studygkwus.htm (Don’t be intimidated by all the Hebrew and Yiddish terms. (They do reflect another mindset, and thus the words do pop up more emphatically.)).
Can you find the new term for faith here?:
For by unmerited Chen v’Chesed Hashem you have been delivered from Hashem’s Din(Judgment) and granted a share in the Geulah (Redemption), through emunah; and this is not [an ainfal (intuitive idea)] of yourselves, it is a matnat Hashem (gift of G-d); 9 Not the result [of the zchus (merit)] of doing ma’asei mitzvot (works) [Ac 15:1; Ga 5:3-4], so that before Hashem no man should be a ravrevan (boaster, braggart). [DEVARIM 9:5] 10 For we are His masterpiece, having been created in Moshiach Yehoshua for ma’asim tovim, which Hashem prepared beforehand, that we should walk our derech in them.[YESHAYAH 29:23; 42:7; 60:21;]
Did you find it? I will take on this new term of faith in my next blog (part 2) coming shortly! …
What really is the Gospel?
mars 9, 2014 § Lämna en kommentar
With the ongoing clash between fundamentalist and liberal Christians, one ultimately come to the question: What really is the Gospel? This question has not been posed to me in this manner since I became a Christian. And now posed, I realize that my belief in what the Gospel comprises is quite different than when I became a Christian, in many things except Jesus himself.
When I turned to 1 John to find out any clues to what the Gospel is, I was stunned that at least two chapters in the middle of the epistle is dedicated to answering that question! But in a way not expected. Instead of saying what the Gospel is in one sentence, it describes it instead, using a handful of synonyms which then make facets of description to what can be said about what the Gospel is. And it does it in a way to make every description holographic, so it, at the same time includes and infers the other descriptions.
These facets of descriptions taken together give a deep understanding of what the Gospel is, which is both excluding and also very including, which makes it a dynamic definition. This is also what surprised me.
I don’t know why I/we haven’t seen this before. I’ll get back to this in another blog, but as a teaser I can already now tell which these facets are which 1 John wants us to see as synonyms: love, Spirit, only begotten Son come in the flesh, following commandments, God, trusting that Jesus is the Messiah.