‘[N]ature is motherly, and [there is] no reason to improve or educate it, as it voluntarily gives everything [you] need.’
Carsten Jensen
A bit of everything, really. Quotes, thoughts, satire, languages, art, European Union, politics…
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Showing posts with label science. Show all posts
Showing posts with label science. Show all posts
Monday, 19 May 2014
Monday, 20 January 2014
Onsdag, den 20. januar 2099
I dag ville min oldefar, Christian, være blevet 226 år. Hvis han levede endnu, ville han hedder “Krajsjan”. Så sent som i 1998, for hundrede år siden, hed jeg Bjørn, nu hedder jeg “Pjen”.
Der var fest blandt de 120-140-årige i eftermiddags. Det er nemlig præcis 75 år siden (2014), at skolerne blev udført. Jajah, nu er der kun 19 dage tilbage til min 126-års fødselsdag. Hvis jeg bliver ved med at få hjernen udskiftet hvert 15. år, undgår jeg at blive senil. Jeg skal have den skiftet ud den 7. marts af professor Stylts robot, XXXMTV66.
De fleste af de 21.697.889.608 mennesker, som lever på jorden nu, regner med at få et evigt liv, da der kun er én ting, som man kan dø af, nemlig sygdommen antikata (man er gået væk fra de latinske betegnelser, og alle taler ét og samme sprog).
De sagde i dag i telebølgeavisen, at man havde vedtaget at droppe grænserne i hele verden. De sagde også, at man skulle tilat oprette et ferieparadis på ydre planet nr. 12 i solsystem 6, galakse 9.
(fra “Bjørns Samlede Værker, Bind V” af Bjørn Clasen — © 1984-85 Bjørneforlaget)
Der var fest blandt de 120-140-årige i eftermiddags. Det er nemlig præcis 75 år siden (2014), at skolerne blev udført. Jajah, nu er der kun 19 dage tilbage til min 126-års fødselsdag. Hvis jeg bliver ved med at få hjernen udskiftet hvert 15. år, undgår jeg at blive senil. Jeg skal have den skiftet ud den 7. marts af professor Stylts robot, XXXMTV66.
De fleste af de 21.697.889.608 mennesker, som lever på jorden nu, regner med at få et evigt liv, da der kun er én ting, som man kan dø af, nemlig sygdommen antikata (man er gået væk fra de latinske betegnelser, og alle taler ét og samme sprog).
De sagde i dag i telebølgeavisen, at man havde vedtaget at droppe grænserne i hele verden. De sagde også, at man skulle tilat oprette et ferieparadis på ydre planet nr. 12 i solsystem 6, galakse 9.
(fra “Bjørns Samlede Værker, Bind V” af Bjørn Clasen — © 1984-85 Bjørneforlaget)
Friday, 29 November 2013
Looking for an answer…
On the last day of the European HIV Testing Week, someone very dear to me who is also an amazing journalist and a remarkable human being, asked me to post this…
It is just another normal working day, trying to give a voice to those who have something to say about things and problems that bother humanity, or at least, my modest little surrounding humanity…
I go towards the Infectious Clinic, the only clinic that can perform HIV tests… The only place where people may find out whether they carry the deadly virus or not.
The doctor is already waiting for me, to talk about AIDS and patients suffering from AIDS. The way he puts it, is just another disease, contagious, hazardous, deadly, but human… They all need to be treated with respect and affection, despite the poison in their blood.
While he tells stories about people having died without even knowing they died because of AIDS, I feel surprised at the low level of self-awareness, and when he mentions the death of a seven years old girl who remained undiagnosed until her death, this low level of self-awareness scares me… It could happen to anyone, at any moment, in any circumstance, because of a careless action, because of a stupid addiction, because of ignorance or because the maliciousness of rotten human souls who think that by infecting others, they will get a piece of revenge from the harm that was done to them. It is strange how wicked the human psyche can sometimes be…
I wrap it up, after a detailed explanation of the disease, the incubation period of the virus, the first onset of AIDS, chances of life for an infected person, ways of transmitting the virus, data on the national database of people who are infected, breaking it down to female and male subjects, global death toll since 1981…
Another moment comes. The moment when you want to show to others how the test is carried out. Nobody is willing to do it. Nobody is willing to show in front of the camera how the procedure is, that short procedure that lasts 10-15 minutes which will decide the future…
I take the initiative of taking this test, first asking how it is performed.
The doctor looks at me with surprise. ‘This is not a game’ he might think…
Well, it is not a game for me either. He then says ‘I don’t think you must appear in front of the camera. People will not understand it. People will judge you when they see this documentary… Be anonymous…’ I refuse to take his word for it. ‘If I am not able to show my face while taking this test, when I am calling on others for awareness on this deadly disease, what rights do I have to address them while I back off?’ In a way, I want to feel what a person living in the doubt of HIV feels, I want to show to the audience how easy it is to go through a little puncture with many drops of blood being taken from your finger… And so I do… But trust me, it is not that easy… It is not that easy at all...
The test is just like the pregnancy test. But different from one another, when one is positive, you give life, you bear life, you have reasons for life. When the other one is positive, oh… the world tumbles on your feet and everything around you crumbles to pieces and fragments of joyful moments you have had, terrible moments you will have…
You have one stripe and you are negative… You are HIV negative… You are marked with life…
You have two stripes and you are positive… You are HIV positive… You are marked with death… Perhaps not sudden death, not painful death, not even death until it comes naturally, but you bear the seal of DEATH… You may give death to others, those dear to you, those strange to you…
And so, while the light of the camera is on my face, and I am pale as always, I feel the shivers in my body, and my skin turns cold, cold to freezing in the quivers of impatience.
I know there is nothing wrong with me. I simply perfectly know it, but the moment itself is scary, perhaps horrifying... It is the reading of those thin lines in your test that determines the way you are going to see life from now and on…
Ten minutes pass, under the camera lights, while it is filming, recording on tape my voice trembling while speaking about the test, while trying to formulate my appeal, while the doctor explains softly what it is, what we are seeing, how the reagents work… My ears go deaf for a minute or so, my eyes focus only on one spot… the single stripe on my tests… both tests… There is no second stripe, there is no shadow of doubt about the certainties that I already had… This experiment upon myself costed me… I now know better how to appreciate the moment, maybe life itself. For a moment there, I was scared… It was a long moment from where I sat… Now it is gone… My heartbeat is back… My breath is back…
I take the test from the table, show it to the camera and softly, slowly and calmly I say: ‘That was it.… It only takes a few moments to save your life, to save other peoples lives… Do the test…’
I am still silent, but I need to share this…
Wednesday, 7 March 2012
Åbenbart ikke særlig
Denne “gåde” optræder i en annonce på eb.dk i dag.
Dem, der har lavet opgaven lader til ikke selv at være for kloge.
I hvert fald stemmer ingen af svarmulighederne.
Jeg kan se 30 kvadrater. Plus måske rammen?
Jeg har ikke målt efter.
Dem, der har lavet opgaven lader til ikke selv at være for kloge.
I hvert fald stemmer ingen af svarmulighederne.
Jeg kan se 30 kvadrater. Plus måske rammen?
Jeg har ikke målt efter.
Tuesday, 21 February 2012
Women Or Tigers? — Solution to Final Challenge!
Did you find out? Actually, it wasn’t that difficult after all …once you got on the right path. Here’s what I have come up with — tell me if you have the same, or another answer, by commenting on the post.
If the prisoner wants to know whether Room VIII is empty or not, the answer he gets must be crucial to solve the whole puzzle. So let’s take that room as our point of departure.
We know already that Room VIII cannot contain a woman, as its sign says it hosts a tiger, and the sign on the woman’s door is correct. Leaves us with two possibilities: Room VIII is either empty or hosts a tiger.
It will not help us much to assume it is empty. Then its sign can be either true or false. So let’s assume there is actually a tiger in Room VIII. This means the sign is not correct. The sign gives two statements, with an ‘and’ in between. If one or both statements are false, the sign is false, as it should be if there is indeed a tiger behind the door. The first statement ‘this room hosts a tiger’ is true (so we assume for now) — ergo, the second ‘Room IX is empty’ must be false for the sign to be false.
So Room IX is not empty. It contains either a woman or a tiger. Again, its sign gives two statements linked by an ‘and’. The first statement says the room contains a tiger. If there is a woman in it, the sign must tell the truth, which it then can’t as it talks about that tiger. So… it does contain a tiger. And, as with Room VIII, the second statement must be false in order for the sign to be false. The sign on Room VI therefore tells the truth (because the sign on Room IX, lying, says that it doesn’t). Let’s keep in mind (write down) that Room VI either hosts a woman or is empty.
The sign on Room VI says that the sign on Room III is false. This one gives two statements, this time linked by an ‘or’, meaning that both statements must be incorrect in order for the sign as a whole to be false. To take the second statement first (you’ll see in a second that in this case, that’s easier, in order to keep some sort of overview): ‘sign VII is lying’ …so sign VII must be true, and sign VII says the woman is not in Room I. Now that is good to know, let’s write it down too.
…and continue with the first of the two statements on Room III, which is also false (see the paragraph just above): ‘sign V tells the truth’. So it does not. Sign V is yet another two statements linked by an ‘or’. They are both false, according to the logic explained just before. For one, this means that Room II is indeed empty, as its sign states. OK. It also means that sign IV is lying.
Sign IV says that sign I is incorrect. So it is correct …that ‘the woman is in a room with an uneven number’. We know from two paragraphs further up that she is not in Room I. We also know that she is not in Room III as its sign is false. Same goes for Room V (go up just one paragraph from here), and for Room IX (go up three paragraphs from here).
Leaves us with one room carrying an uneven number: Room VII. A quick check: The sign on this room must tell the truth if the woman is indeed behind the door. It says that the woman is not in Room I. Indeed, as she cannot be in two rooms.
One doubt remains though! The premise for this string of logic was that Room VIII is not empty. But what if it is, what if that’s the answer the king gave the prisoner? Can he use that answer to follow a different logic and reach the solution in a different way, or even reach a different solution?
I would like to have your answers to this! Comment below if you have it!
If the prisoner wants to know whether Room VIII is empty or not, the answer he gets must be crucial to solve the whole puzzle. So let’s take that room as our point of departure.
We know already that Room VIII cannot contain a woman, as its sign says it hosts a tiger, and the sign on the woman’s door is correct. Leaves us with two possibilities: Room VIII is either empty or hosts a tiger.
It will not help us much to assume it is empty. Then its sign can be either true or false. So let’s assume there is actually a tiger in Room VIII. This means the sign is not correct. The sign gives two statements, with an ‘and’ in between. If one or both statements are false, the sign is false, as it should be if there is indeed a tiger behind the door. The first statement ‘this room hosts a tiger’ is true (so we assume for now) — ergo, the second ‘Room IX is empty’ must be false for the sign to be false.
So Room IX is not empty. It contains either a woman or a tiger. Again, its sign gives two statements linked by an ‘and’. The first statement says the room contains a tiger. If there is a woman in it, the sign must tell the truth, which it then can’t as it talks about that tiger. So… it does contain a tiger. And, as with Room VIII, the second statement must be false in order for the sign to be false. The sign on Room VI therefore tells the truth (because the sign on Room IX, lying, says that it doesn’t). Let’s keep in mind (write down) that Room VI either hosts a woman or is empty.
The sign on Room VI says that the sign on Room III is false. This one gives two statements, this time linked by an ‘or’, meaning that both statements must be incorrect in order for the sign as a whole to be false. To take the second statement first (you’ll see in a second that in this case, that’s easier, in order to keep some sort of overview): ‘sign VII is lying’ …so sign VII must be true, and sign VII says the woman is not in Room I. Now that is good to know, let’s write it down too.
…and continue with the first of the two statements on Room III, which is also false (see the paragraph just above): ‘sign V tells the truth’. So it does not. Sign V is yet another two statements linked by an ‘or’. They are both false, according to the logic explained just before. For one, this means that Room II is indeed empty, as its sign states. OK. It also means that sign IV is lying.
Sign IV says that sign I is incorrect. So it is correct …that ‘the woman is in a room with an uneven number’. We know from two paragraphs further up that she is not in Room I. We also know that she is not in Room III as its sign is false. Same goes for Room V (go up just one paragraph from here), and for Room IX (go up three paragraphs from here).
Leaves us with one room carrying an uneven number: Room VII. A quick check: The sign on this room must tell the truth if the woman is indeed behind the door. It says that the woman is not in Room I. Indeed, as she cannot be in two rooms.
One doubt remains though! The premise for this string of logic was that Room VIII is not empty. But what if it is, what if that’s the answer the king gave the prisoner? Can he use that answer to follow a different logic and reach the solution in a different way, or even reach a different solution?
I would like to have your answers to this! Comment below if you have it!
Monday, 20 February 2012
Women Or Tigers? — The Final Challenge!
Now we’re finally talking! This seventh and last and ultimate logical challenge should be able to keep your brain cells busy for a little while. Read on.
‘It’s terrible!’, said the king. ‘I cannot seem to make the challenges difficult enough to have even one of those damn prisoners eaten! I will give it one more chance, one last challenge, which requires the prisoner to really exercise his thinking!’
The minister, as usual, agreed.
And the king was not exaggerating. The seventh prisoner was not given two, nor three doors to choose from — but no less than nine! The king told him that only one of the rooms hosted a woman. Each of the others might be empty …or host a hungry tiger.
He also said to the prisoner that the sign on the door hiding the woman would be true, those on the doors (if any) hiding a tiger would be lying, and those (if any) leading to an empty room could be either true or false.
Here is what the signs said:
‘Yes, I know!’, replied the king, laughing.
‘Easy for you to laugh’, said the prisoner and added: ‘At least give me one hint: Is Room VIII empty or not?’
The king was a fair person, and, impressed by the prisoner’s clear-mindedness, he did tell him whether Room VIII was empty or not.
When the prisoner had this answer, he also knew, after quite a bit more thinking, where the woman was hiding.
Which room did he choose?
Take a deep breath, and probably pen and paper, and a bit of time and peace. And do post your answer and how you reached your conclusion. ‘Cause I don’t have the solution anymore…
I hope you have enjoyed these two weeks of logical challenges. And may you find your woman too, or your tiger.
‘It’s terrible!’, said the king. ‘I cannot seem to make the challenges difficult enough to have even one of those damn prisoners eaten! I will give it one more chance, one last challenge, which requires the prisoner to really exercise his thinking!’
The minister, as usual, agreed.
And the king was not exaggerating. The seventh prisoner was not given two, nor three doors to choose from — but no less than nine! The king told him that only one of the rooms hosted a woman. Each of the others might be empty …or host a hungry tiger.
He also said to the prisoner that the sign on the door hiding the woman would be true, those on the doors (if any) hiding a tiger would be lying, and those (if any) leading to an empty room could be either true or false.
Here is what the signs said:
ROOM I: THE WOMAN IS IN A ROOM WITH AN UNEVEN NUMBER
ROOM II: THIS ROOM IS EMPTY
ROOM III: EITHER SIGN V TELLS THE TRUTH, OR SIGN VII IS LYING
ROOM IV: SIGN I IS LYING
ROOM V: SIGN II IS LYING OR SIGN IV TELLS THE TRUTH
ROOM VI: SIGN III IS LYING
ROOM VII: THE WOMAN IS NOT IN ROOM I
ROOM VIII: THIS ROOM HOSTS A TIGER, AND ROOM IX IS EMPTY
ROOM IX: THIS ROOM HOSTS A TIGER, AND SIGN VI IS LYINGThe prisoner looked at the doors, read the signs, and reflected for a long time. He then said, angrily: ‘This challenge cannot be logically solved! That is not fair!’
‘Yes, I know!’, replied the king, laughing.
‘Easy for you to laugh’, said the prisoner and added: ‘At least give me one hint: Is Room VIII empty or not?’
The king was a fair person, and, impressed by the prisoner’s clear-mindedness, he did tell him whether Room VIII was empty or not.
When the prisoner had this answer, he also knew, after quite a bit more thinking, where the woman was hiding.
Which room did he choose?
Take a deep breath, and probably pen and paper, and a bit of time and peace. And do post your answer and how you reached your conclusion. ‘Cause I don’t have the solution anymore…
I hope you have enjoyed these two weeks of logical challenges. And may you find your woman too, or your tiger.
Sunday, 19 February 2012
Women Or Tigers? — Solution to Sixth Challenge
A bit more tricky, or at least time-consuming, yesterday’s challenge, wasn’t it?
The solution is that the woman is in Room I and the tiger in Room II. This is the only combination that fits with the signs on the doors and the conditions given as to whether they tell the truth or not.
But let’s look at the different possibilities in detail anyway.
If the woman is in Room I, that sign tells the truth, meaning that Room III is empty. The tiger must thus be in Room II, which fits with the sign on that door telling a lie.
This already rules out the second of second possibility, which would be a woman in Room I, an empty Room II, and a tiger in Room III — ‘cause then the sign on Room I would lie and cannot contain the woman.
If the tiger is in Room I, this sign is lying, meaning that the woman would be in Room III. She cannot be, as the sign on her door must tell the truth. (And, just for the thought experiment, if instead Room III is empty, the sign on the tiger’s door would not be lying as it is supposed to.)
Leaves us two theoretical possibilities, both implying that Room I is empty. As the sign on the empty room can both tell the truth or a lie, we have to move on to assumptions about who or what is in Room II. If it’s the woman, the sign on her room tells the truth …but it doesn’t, as Room I cannot both be empty and contain the tiger.
If instead the tiger is in Room II, it fits that that sign is lying. It leaves Room III for the woman …but that sign says the room is empty, which is a lie.
Therefore, the only valid possibility is the first one: Woman in I, tiger in II, and Room III is empty. The sixth prisoner can walk away a happy man with his new bride!
The solution is that the woman is in Room I and the tiger in Room II. This is the only combination that fits with the signs on the doors and the conditions given as to whether they tell the truth or not.
But let’s look at the different possibilities in detail anyway.
If the woman is in Room I, that sign tells the truth, meaning that Room III is empty. The tiger must thus be in Room II, which fits with the sign on that door telling a lie.
This already rules out the second of second possibility, which would be a woman in Room I, an empty Room II, and a tiger in Room III — ‘cause then the sign on Room I would lie and cannot contain the woman.
If the tiger is in Room I, this sign is lying, meaning that the woman would be in Room III. She cannot be, as the sign on her door must tell the truth. (And, just for the thought experiment, if instead Room III is empty, the sign on the tiger’s door would not be lying as it is supposed to.)
Leaves us two theoretical possibilities, both implying that Room I is empty. As the sign on the empty room can both tell the truth or a lie, we have to move on to assumptions about who or what is in Room II. If it’s the woman, the sign on her room tells the truth …but it doesn’t, as Room I cannot both be empty and contain the tiger.
If instead the tiger is in Room II, it fits that that sign is lying. It leaves Room III for the woman …but that sign says the room is empty, which is a lie.
Therefore, the only valid possibility is the first one: Woman in I, tiger in II, and Room III is empty. The sixth prisoner can walk away a happy man with his new bride!
Saturday, 18 February 2012
Women Or Tigers? — The Sixth Challenge
Pretty cool solution yesterday, wasn’t it? Though still not that difficult. Hang on for the last two challenges as this is where the real fun begins.
The king told the sixth prisoner that one of the three rooms would host a woman, another one a tiger, and the last one would be empty. He also explained that the sign to the door hiding a woman would be correct, the one hiding a tiger would lie, and the one to the empty room could be either lying or telling the truth.
Here is what the signs read:
Can you figure out where the woman is, and where the tiger is?
This is the before-last challenge. Its solution will be published here tomorrow, and the day after tomorrow follows the seventh, last and ultimate challenge …to which I do not have the solution! Can you help?
The king told the sixth prisoner that one of the three rooms would host a woman, another one a tiger, and the last one would be empty. He also explained that the sign to the door hiding a woman would be correct, the one hiding a tiger would lie, and the one to the empty room could be either lying or telling the truth.
Here is what the signs read:
ROOM I: ROOM III IS EMPTY
ROOM II: THE TIGER IS IN ROOM I
ROOM III: THIS ROOM IS EMPTYThe prisoner happened to know the woman who was behind one of the three doors, and he was eager to marry her. So even though it would be better to open the door to the empty room than the one hiding the hungry tiger, he clearly preferred to find the woman behind the door.
Can you figure out where the woman is, and where the tiger is?
This is the before-last challenge. Its solution will be published here tomorrow, and the day after tomorrow follows the seventh, last and ultimate challenge …to which I do not have the solution! Can you help?
Friday, 17 February 2012
Women Or Tigers? — Solution to Fifth Challenge
One or none of the three signs tell the truth. Let’s assume that the one on Room I does tell the truth. That would mean there is a tiger in that room. It would also mean that the two other signs are both lying. For Room II that could fit, as it would hide a tiger. However, that would make the sign on Room III correct — so we can rule out that possibility.
So how about the sign on Room II… if it tells the truth, the two other signs do not… but the one on Room I should then contain a woman. As there is a woman in only one of the rooms, this possibility can be discarded as well.
Maybe the sign on Room III is correct, making the two others lie. That would mean there is a woman in Room I, a tiger in Room II, and as the signs do not give any indications of what is behind the third door, there could be a tiger. In other words, this could be a possibility.
Still, let’s check if all three signs are lying: Woman in Room I, tiger in Room II… but then the sign on Room III is not lying. So that one’s out as well.
The prisoner should open the door to Room I this time!
So how about the sign on Room II… if it tells the truth, the two other signs do not… but the one on Room I should then contain a woman. As there is a woman in only one of the rooms, this possibility can be discarded as well.
Maybe the sign on Room III is correct, making the two others lie. That would mean there is a woman in Room I, a tiger in Room II, and as the signs do not give any indications of what is behind the third door, there could be a tiger. In other words, this could be a possibility.
Still, let’s check if all three signs are lying: Woman in Room I, tiger in Room II… but then the sign on Room III is not lying. So that one’s out as well.
The prisoner should open the door to Room I this time!
Thursday, 16 February 2012
Women Or Tigers? — The Fifth Challenge
‘Dammit!’, the king was in a rage, ‘Both prisoners chose the right door again. I have to make it more difficult, for my own and for my people’s entertainment. I will add one more room, place a tiger in two of them, and a woman in the last one. Let’s see how the prisoners will handle that challenge!’ he said.
‘What a superb idea!’ said the minister.
The three signs read:
Where was the woman?
‘What a superb idea!’ said the minister.
The three signs read:
ROOM I: THERE IS A TIGER IN THIS ROOM
ROOM II: THERE IS A WOMAN IN THIS ROOM
ROOM III: THERE IS A TIGER IN ROOM IIThe king told that day’s prisoner that no more than one of the signs was correct.
Where was the woman?
Wednesday, 15 February 2012
Women Or Tigers? — Solution to Fourth Challenge
So how was yesterday’s logical exercise? Still too easy? Let’s crank it up a notch then. That’s what our friend the king did. But that’s for tomorrow. Let’s first look at the (best) answer to yesterday’s challenge.
If the sign on the door to Room I tells the truth, there would be a woman in both rooms. That, however, is impossible, as Room II would have to contain a tiger to tell the truth.
Therefore, the sign on Room I must be lying. There is thus a tiger behind it. And it does matter which door you choose — ergo there must be a woman in the other room, Room II. Also, it then fits that the sign on this door is lying too.
If the sign on the door to Room I tells the truth, there would be a woman in both rooms. That, however, is impossible, as Room II would have to contain a tiger to tell the truth.
Therefore, the sign on Room I must be lying. There is thus a tiger behind it. And it does matter which door you choose — ergo there must be a woman in the other room, Room II. Also, it then fits that the sign on this door is lying too.
Tuesday, 14 February 2012
Women Or Tigers? — The Fourth Challenge
This challenge was a favourite of the king’s.
The signs on the doors for the second prisoner to choose between read:
Also remember that both rooms might contain a woman, or both a tiger, or of course there might be a woman in one room and a tiger in the other.
What would you choose, if you were in this prisoner’s shoes?
The signs on the doors for the second prisoner to choose between read:
ROOM I: IT WON’T MAKE A DIFFERENCE WHICH DOOR YOU CHOOSE
ROOM II: THERE IS A WOMAN IN THE OTHER ROOMRemember that if there was a woman behind door #1, the sign on the door told the truth — but if there was a tiger behind it, the sign told a lie. As for the sign on door #2, it was the opposite: If there was a woman behind it, the sign would be false, and if there was a tiger behind it, the sign would be true.
Also remember that both rooms might contain a woman, or both a tiger, or of course there might be a woman in one room and a tiger in the other.
What would you choose, if you were in this prisoner’s shoes?
Monday, 13 February 2012
Women Or Tigers? — Solution to Third Challenge
The prisoner got it right this time as well, even though the challenge had become a little trickier. This was the logic that made him make the right choice:
As the two signs say exactly the same thing, they are either both true or both false. This means there must be a woman in one of the rooms and a tiger in the other — according to the instruction given by the king for this day’s two challenges.
If there is a woman in Room I, its sign tells the truth. If the sign tells the truth, there is also a woman in Room II. And if there is a woman in Room II, the sign on its door tells a lie. So that is not possible.
Ergo, Room I must contain a tiger. This fits with the sign on its door telling a lie. Also, as there must be a woman in Room II, it fits that that sign tells the truth.
So Room II it is! But what about the next prisoner’s challenge? It’s one of the king’s favourite challenges, so check it out. Tomorrow.
As the two signs say exactly the same thing, they are either both true or both false. This means there must be a woman in one of the rooms and a tiger in the other — according to the instruction given by the king for this day’s two challenges.
If there is a woman in Room I, its sign tells the truth. If the sign tells the truth, there is also a woman in Room II. And if there is a woman in Room II, the sign on its door tells a lie. So that is not possible.
Ergo, Room I must contain a tiger. This fits with the sign on its door telling a lie. Also, as there must be a woman in Room II, it fits that that sign tells the truth.
So Room II it is! But what about the next prisoner’s challenge? It’s one of the king’s favourite challenges, so check it out. Tomorrow.
Sunday, 12 February 2012
Women Or Tigers? — The Third Challenge
‘The first two days of my new scheme have been a fiasco!’, the king said to his minister. ‘Both prisoners solved the logical problem I had set up for them. I will make the challenges more difficult!’
‘Splendid idea!’, said the minister.
On this day, as it was a public holiday, two prisoners had to face the challenge. They were both given the instruction that if there was a woman behind door #1, the sign on the door told the truth — but if there was a tiger behind it, the sign told a lie. As for the sign on door #2, it was the opposite: If there was a woman behind it, the sign would be false, and if there was a tiger behind it, the sign would be true.
There was still the possibility that both rooms could contain a woman, or both a tiger, or of course there might be a woman in one of the rooms and a tiger in the other.
The first prisoner was shown two doors with the following signs:
So which door should the prisoner choose?
‘Splendid idea!’, said the minister.
On this day, as it was a public holiday, two prisoners had to face the challenge. They were both given the instruction that if there was a woman behind door #1, the sign on the door told the truth — but if there was a tiger behind it, the sign told a lie. As for the sign on door #2, it was the opposite: If there was a woman behind it, the sign would be false, and if there was a tiger behind it, the sign would be true.
There was still the possibility that both rooms could contain a woman, or both a tiger, or of course there might be a woman in one of the rooms and a tiger in the other.
The first prisoner was shown two doors with the following signs:
ROOM I: THERE IS A WOMAN IN BOTH ROOMS
ROOM II: THERE IS A WOMAN IN BOTH ROOMS
So which door should the prisoner choose?
Saturday, 11 February 2012
Women Or Tigers? — Solution to Second Challenge
Got yesterday’s challenge? Got it solved?
Well, it wasn’t very difficult, was it?
Here’s the solution:
Since either both signs tell the truth or both tell a lie, it means that if the sign on Room I is true, the one on Room II is true as well. Therefore, there must be a tiger in Room I and a woman in Room II.
It is not possible that both signs tell a lie. That would imply, according to sign #1, that there is no woman, only tigers — and as sign #2 says there is a tiger, this one cannot be lying as well.
Hence, both signs tell the truth, and the prisoner will find his bride behind the door to Room II.
Tomorrow we’ll be back with a bit more of a challenge. Do check it out, it’s fun!
Well, it wasn’t very difficult, was it?
Here’s the solution:
Since either both signs tell the truth or both tell a lie, it means that if the sign on Room I is true, the one on Room II is true as well. Therefore, there must be a tiger in Room I and a woman in Room II.
It is not possible that both signs tell a lie. That would imply, according to sign #1, that there is no woman, only tigers — and as sign #2 says there is a tiger, this one cannot be lying as well.
Hence, both signs tell the truth, and the prisoner will find his bride behind the door to Room II.
Tomorrow we’ll be back with a bit more of a challenge. Do check it out, it’s fun!
Friday, 10 February 2012
Women Or Tigers? — The Second Challenge
So the first prisoner who was subject to the eccentric king’s new scheme not only saved his life but could even leave the arena with a lovely wife.
The king now changed the signs on the two doors and chose new tennants for the rooms behind them. The signs now read:
‘Either they are both true or they both tell a lie’, was the king’s reply.
Which room should the prisoner pick?
The king now changed the signs on the two doors and chose new tennants for the rooms behind them. The signs now read:
ROOM I: THERE IS A WOMAN IN AT LEAST ONE OF THE ROOMS
ROOM II: THERE IS A TIGER IN THE OTHER ROOM‘Are the signs telling the truth?’, asked this second day’s prisoner.
‘Either they are both true or they both tell a lie’, was the king’s reply.
Which room should the prisoner pick?
Thursday, 9 February 2012
Women Or Tigers? — Solution to First Challenge
Let us assume that the sign on the door to Room I tells the truth. This would mean that there is a woman in that room, and a tiger in Room II.
It would also mean that the sign on the door to Room II tells a lie. This cannot be the case, as it says that there is a woman in one room and a tiger in the other.
Therefore, the sign on Room II must be true: There is indeed a woman behind one door, and a tiger behind the other.
As there is a true and a false sign, the sign on Room I must be the false one. In other words, Room I contains the tiger, and Room II the woman. The prisoner, unless he is tired of life, should choose door #2.
Easy no? Tomorrow’s challenge will be slightly less straight-forward. So stay tuned.
It would also mean that the sign on the door to Room II tells a lie. This cannot be the case, as it says that there is a woman in one room and a tiger in the other.
Therefore, the sign on Room II must be true: There is indeed a woman behind one door, and a tiger behind the other.
As there is a true and a false sign, the sign on Room I must be the false one. In other words, Room I contains the tiger, and Room II the woman. The prisoner, unless he is tired of life, should choose door #2.
Easy no? Tomorrow’s challenge will be slightly less straight-forward. So stay tuned.
Wednesday, 8 February 2012
Women Or Tigers? — The First Challenge
The day came when the king started his new experiment for punishing — or rewarding — his prisoners. The king explained to the chosen prisoner that each of the two rooms could contain either a woman or a tiger …but that there might be a tiger in both rooms, or a woman in both rooms.
‘What if there is a tiger in both rooms?’, the prisoner asked.
‘Well, then you are just unlucky’, was the king’s reply.
‘And if there is a woman in both rooms?’, asked the prisoner.
‘Then… you’re just lucky!’, replied the king, ‘Stupid question, isn't it?’
‘OK, but let's assume then that there is a woman in one of the rooms and a tiger in the other. What will happen then?’, the prisoner continued.
‘In that case it is for you to pick the right one, simple as that!’
‘But… how can I know which door to pick?’
The king then pointed at the signs he had put on the doors to the two rooms:
‘One of them tells the truth. But the other one tells a lie’, was the king’s answer.
If you were the prisoner, which door would you choose (provided that you prefer to meet the woman rather than the tiger…)?
‘What if there is a tiger in both rooms?’, the prisoner asked.
‘Well, then you are just unlucky’, was the king’s reply.
‘And if there is a woman in both rooms?’, asked the prisoner.
‘Then… you’re just lucky!’, replied the king, ‘Stupid question, isn't it?’
‘OK, but let's assume then that there is a woman in one of the rooms and a tiger in the other. What will happen then?’, the prisoner continued.
‘In that case it is for you to pick the right one, simple as that!’
‘But… how can I know which door to pick?’
The king then pointed at the signs he had put on the doors to the two rooms:
ROOM I: THIS ROOM CONTAINS A WOMAN, AND THE OTHER ONE CONTAINS A TIGER
ROOM II: ONE OF THESE ROOMS CONTAINS A WOMAN, AND ONE OF THEM A TIGER‘Is it true what the signs say’, the prisoner now asked.
‘One of them tells the truth. But the other one tells a lie’, was the king’s answer.
If you were the prisoner, which door would you choose (provided that you prefer to meet the woman rather than the tiger…)?
Tuesday, 7 February 2012
Women Or Tigers? — Introduction
Over the next two weeks, I will post seven fun and increasingly complicated mathematical exercises. But hey, read on! I said they were fun! The seven exercises are part of the same story. Each other day I will give you one challenge to think about and solve, and each other day you will get the solution …except on the last day, as I actually no longer have the answer to that last and most complex challenge. So stay tuned! :)
You may know the short story ‘The Lady, Or The Tiger?’ by Frank R. Stockton. It tells how a prisoner is forced to choose between two doors — one room contains a lady, and the other one a tiger. If he chooses the former, he will marry the lady, but if he chooses the latter, he will probably end up as lunch.
A king had read the story, and it gave him an idea. ‘This is exactly how I should like to treat my own prisoners,’ he said to his minister, ‘but I will not leave things to blind chance. I will put a sign on each door, and in each case I will tell the prisoner something about these signs. If the prisoner is smart and knows how to think logically, he will save his life, and will even win himself a beautiful bride.’
‘What a brilliant idea, your highness,’ said the minister.
Does this intrigue you? If yes, check out my blog tomorrow for the first challenge. We will start very lightly and build up from there…
You may know the short story ‘The Lady, Or The Tiger?’ by Frank R. Stockton. It tells how a prisoner is forced to choose between two doors — one room contains a lady, and the other one a tiger. If he chooses the former, he will marry the lady, but if he chooses the latter, he will probably end up as lunch.
A king had read the story, and it gave him an idea. ‘This is exactly how I should like to treat my own prisoners,’ he said to his minister, ‘but I will not leave things to blind chance. I will put a sign on each door, and in each case I will tell the prisoner something about these signs. If the prisoner is smart and knows how to think logically, he will save his life, and will even win himself a beautiful bride.’
‘What a brilliant idea, your highness,’ said the minister.
Does this intrigue you? If yes, check out my blog tomorrow for the first challenge. We will start very lightly and build up from there…
Monday, 16 January 2012
Aggression in Albania X: Art, culture, science…
Another highly interesting, and very disturbing, chapter in a 17-year old’s essay on Albania in 1997.
In the name of socialist realism many things were truncated. Art was only realism that presented real individuals working the lands and protecting the country. Expressing individual feelings and emotions was prohibited, unless the person was expressing real life of real cooperative workers, real life of soldiers, real life of teachers teaching Marx and Engels’ philosophy on proletariat. The love of the Labor Party was to prevail in every text, in every novel and article of newspapers.
Everything was subdued to the review of the “critical eye” of the party and its selected ones. Erotic content was not only not allowed, but also prosecuted. Love was pure and idyllist. In the cinematography scenes of kisses, touching, and other intimacy were considered as obscene. No surrealism, no expressionism, no cubism, nothing of the modern streams of painting. It was obscene to have erotic poetry and poems as well. Poetry had to express love for the family, love for the country, party and so on. Intimacy was expressed in simple words of a superficial relationship. Music mustn’t contain strong rhythms and other elements of the western music. All these components were considered as decaying, decadent, and as imitation of hippie streams. Those who dared to oppose this oblivion of human nature and freedom of spirit, were imprisoned, stained in biography, were set aside or were fully ignored by the system. Despite the contribution they gave for the nation, it was immediately opposed. Everything, everybody had to be within the frames of socialist criticism.
In the name of socialist realism many things were truncated. Art was only realism that presented real individuals working the lands and protecting the country. Expressing individual feelings and emotions was prohibited, unless the person was expressing real life of real cooperative workers, real life of soldiers, real life of teachers teaching Marx and Engels’ philosophy on proletariat. The love of the Labor Party was to prevail in every text, in every novel and article of newspapers.
Everything was subdued to the review of the “critical eye” of the party and its selected ones. Erotic content was not only not allowed, but also prosecuted. Love was pure and idyllist. In the cinematography scenes of kisses, touching, and other intimacy were considered as obscene. No surrealism, no expressionism, no cubism, nothing of the modern streams of painting. It was obscene to have erotic poetry and poems as well. Poetry had to express love for the family, love for the country, party and so on. Intimacy was expressed in simple words of a superficial relationship. Music mustn’t contain strong rhythms and other elements of the western music. All these components were considered as decaying, decadent, and as imitation of hippie streams. Those who dared to oppose this oblivion of human nature and freedom of spirit, were imprisoned, stained in biography, were set aside or were fully ignored by the system. Despite the contribution they gave for the nation, it was immediately opposed. Everything, everybody had to be within the frames of socialist criticism.
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