~ Back to Issues & Politics in Car Culture at Mulholland Raceway


Who Owns The Fish?

by PROFESSOR ALBERT EINSTEIN

Derivation by A.S. JOSEPH, MS BA/BA

~ Dr. Albert Einstein ~

Nobel Laureate (1921); Time Magazine's Man of the Century

Accolades too numerous to mention

b. 14 Mar. 1879_d. 18 Apr. 1955

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

GIVEN: Five houses in a row. Each is a different color, and each is occupied by a person from a different country. They each drink different drinks, they each smoke different brands, and they each keep different pets. No two people are from the same country, no two drink the same drink, no two smoke the same brand, or keep the same pet. Each house is a different color and has exactly one person living in it.

With respect to the aforementioned, and using the following 15 inferences, prove who owns the fish:

1. The British man lives in a red house.

2. The Swede keeps dogs as pets.

3. The Dane drinks tea.

4. The green house is on the left of the white house.

5. The green house owner drinks coffee.

6. The person who smokes Pall Mall rears birds.

7. The owner of the yellow house smokes Dunhill.

8. The man living in the house right in the center drinks milk.

9. The Norwegian lives in the first house.

10. The man who smokes Blend lives next to the one who keeps cats.

11. The man who keeps horses lives next to the man who smokes Dunhill.

12. The owner who smokes Blue Master drinks beer.

13. The German smokes Prince.

14. The Norwegian lives next to the blue house.

15. The man who smokes Blend has a neighbor who drinks water.

The good Professor Einstein exclaimed 98% of us are utterly incapable of solving so simple a problem. That was all I needed to hear...

Be my guest. Go ahead. Pull down the tabs; knock yourself out:

Location:

HouseL - 2

HouseL - 1

Center House

HouseR + 1

HouseR + 2

Homes:

Ethnicity:

Beverage:

Smoke:

Pet:

Don't feel bad... Difficult for human beings to derive such a solution, confined to the constraint of 5-by-5 matrix, for which to map the arrays. We aren't wired this way. Scroll down the page... see how I've derived the solution. The derivation, in and of itself is most intriguing, with a rich active reading to be revealed, but only for those who think (1) outside-the-box, (2) inside-the-box, and (3) those who think spatially. Einstein's level of intellect, we must function on all three levels simultaneously, as did he, as we graduate up the decision tree. The further up the decision tree we advance, the more difficult it becomes to resist falling backward, "into the box."

This is going to be an adventure! Scroll down the page, watch me mop this up:


Solution

Derivation by A.S. JOSEPH, MS BA/BA

"Imagination is more important than knowledge"

~ Professor Albert Einstein, On Science ~

 

S t r a t e g y -

i._Parameters -

A priori, the number of parameters we must contend with is exacted by tallying the number of unique nouns, from the inferences, above. Sorting the parameters from the variables, the parameters are established, arbitrarily ordered Red-Green-White-Blue-Yellow, as follows, in the matrix, below:

Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

*

*

*

*

*

Beverage:

*

*

*

*

*

Smoke:

*

*

*

*

*

Pet:

*

*

*

*

*

ii._Variables -

A posteriori, we begin with an empty 5 by 4 matrix; there will be 5 -- four parameter -- vertically arranged arrays, where each table of arrays will become indicative of a particular outcome. Let's employ a passive, dependent, "Simon says..." game theory strategy, to disseminate the solution. Let's proceed, selectively, down the list, above, plucking each central inference, or clue, in such a manner as to exert minimal geometric effort in order to efficiently map the arrays which will syllogistically unfold before us, that which spatially defines who owns the fish as a function of the contradictions we encounter. In other words, we simply apply diligence in mapping each possible outcome, whilst allowing each contradiction to extirpate the irrelevant arrays. Child's play! This is going to be fun!

Let's begin...

 

P r o o f ~

1. "The British man lives in a red house."

Plug and chug...

Page Up

Homes:

Red

Ethnicity:

British


4. "The green house is on the left of the white house."

Ambiguity: Unclear as to whether or not the two variables are directly adjacent. Therefore, we must assume three possible outcomes at this early juncture:

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Homes:

Green

White

Red

Ethnicity:

British


Homes:

Red

Green

White

Ethnicity:

British


Homes:

Green

Red

White

Ethnicity:

British


9. "The Norwegian lives in the first house."

Signal Ambiguity: ... no definition, what constitutes the first house, this complicates things. Knowing when to think, in-the-box, and out-of-the-box, is an art. Not a science. This is not the time to think, out-of-the-box, bury our head in the sand, making an asinine assumption that, for no good reason than the fact we read from left to right, that the first house is axiomatically extreme left. This is the time to think spatially. We can't assume anything, unless given a definition. We can't establish a valid definition, sans a valid converse argument. We don't have a definition, for which to correlate left and right, ordinally (e.g., to first and last). To wit, we must assume two more possible outcomes, multiplied to the previous three. Henceforth, our task becomes increasingly arduous:

Page Up

Homes:

?

Green

White

Red

Ethnicity:

Norwegian

British


Homes:

Green

White

Red

?

Ethnicity:

British

Norwegian


Homes:

?

Red

Green

White

Ethnicity:

Norwegian

British


Homes:

Red

Green

White

?

Ethnicity:

British

Norwegian


Homes:

?

Green

Red

White

Ethnicity:

Norwegian

British


Homes:

Green

Red

White

?

Ethnicity:

British

Norwegian


14. "The Norwegian lives next to the blue house."

Plug 'n chug another variable, and the various arrays begin to take shape...

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Homes:

?

Blue

Green

White

Red

Ethnicity:

Norwegian

British


Homes:

Green

White

Red

Blue

?

Ethnicity:

British

Norwegian


Homes:

?

Blue

Red

Green

White

Ethnicity:

Norwegian

British


Homes:

Red

Green

White

Blue

?

Ethnicity:

British

Norwegian


Homes:

?

Blue

Green

Red

White

Ethnicity:

Norwegian

British


Homes:

Green

Red

White

Blue

?

Ethnicity:

British

Norwegian


5. "The green house owner drinks coffee."

Plug and chug... We can see, thus far, that this is not fundamentally difficult; it's just involved. Ideally, before the diffusion and proliferation of personal computers, the best way to solve this problem was with a stack of 3 by 5 cards whereupon, whensoever each contradiction is encountered, you'd put a big red X across it, and throw it away... keep doing that until there's just one left.

Page Up

Homes:

?

Blue

Green

White

Red

Ethnicity:

Norwegian

British

Beverage:

Coffee


Homes:

Green

White

Red

Blue

?

Ethnicity:

British

Norwegian

Beverage:

Coffee


Homes:

?

Blue

Red

Green

White

Ethnicity:

Norwegian

British

Beverage:

Coffee


Homes:

Red

Green

White

Blue

?

Ethnicity:

British

Norwegian

Beverage:

Coffee


Homes:

?

Blue

Green

Red

White

Ethnicity:

Norwegian

British

Beverage:

Coffee


Homes:

Green

Red

White

Blue

?

Ethnicity:

British

Norwegian

Beverage:

Coffee


7. "The owner of the yellow house smokes Dunhill"

By definition, the Norwegian must live in the Yellow House, and he smokes Dunhill. Last dependent parameter is now placed (yellow house), yet one independent parameter is still outstanding:

Page Up

Homes:

Yellow

Blue

Green

White

Red

Ethnicity:

Norwegian

British

Beverage:

Coffee

Smoke:

Dunhill


Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

British

Norwegian

Beverage:

Coffee

Smoke:

Dunhill


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

British

Beverage:

Coffee

Smoke:

Dunhill


Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

British

Norwegian

Beverage:

Coffee

Smoke:

Dunhill


Homes:

Yellow

Blue

Green

Red

White

Ethnicity:

Norwegian

British

Beverage:

Coffee

Smoke:

Dunhill


Homes:

Green

Red

White

Blue

Yellow

Ethnicity:

British

Norwegian

Beverage:

Coffee

Smoke:

Dunhill


8. "The man living in the house right in the center drinks milk"

By definition, the green house cannot occupy center position (e.g., all outcomes with the green house in central position are purged from this excercise). Contradictions atrit two previous possibilities, leaving four possible outcomes yet remaining:

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Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

British

Norwegian

Beverage:

Coffee

Milk

Smoke:

Dunhill


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

British

Beverage:

Milk

Coffee

Smoke:

Dunhill


Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

British

Norwegian

Beverage:

Coffee

Milk

Smoke:

Dunhill


Homes:

Green

Red

White

Blue

Yellow

Ethnicity:

British

Norwegian

Beverage:

Coffee

Milk

Smoke:

Dunhill


11. "The man who keeps horses lives next to the man who smokes Dunhill"

Our five by four table emerges, all parameters have materialized, we have 6 variables placed, 14 variables still outstanding, we have four possible outcomes as we traverse the midpoint juncture:

Page Up

Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

British

Norwegian

Beverage:

Coffee

Milk

Smoke:

Dunhill

Pet:

Horse


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

British

Beverage:

Milk

Coffee

Smoke:

Dunhill

Pet:

Horse


Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

British

Norwegian

Beverage:

Coffee

Milk

Smoke:

Dunhill

Pet:

Horse


Homes:

Green

Red

White

Blue

Yellow

Ethnicity:

British

Norwegian

Beverage:

Coffee

Milk

Smoke:

Dunhill

Pet:

Horse


3. "The Dane drinks tea."

Two more possible outcomes now emerge... our task becomes increasingly arduous:

Page Up

Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

Danish

British

Norwegian

Beverage:

Coffee

Tea

Milk

Smoke:

Dunhill

Pet:

Horse


Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

British

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Dunhill

Pet:

Horse


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

Danish

British

Beverage:

Tea

Milk

Coffee

Smoke:

Dunhill

Pet:

Horse


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

British

Danish

Beverage:

Milk

Coffee

Tea

Smoke:

Dunhill

Pet:

Horse


Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

British

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Dunhill

Pet:

Horse


Homes:

Green

Red

White

Blue

Yellow

Ethnicity:

British

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Dunhill

Pet:

Horse


13. "The German smokes Prince."

Notice something peculiar about what's happening? Denote: This isn't inherently complex. Extraordinary intelligence quotient isn't prerequisite. All Professor Einstein demands of us, is that we be systematic, and assert discipline. That it begins to get a little hairy, about now, as several more possible outcomes emerge, this is where everybody quits. Assertion that 98% of us cannot solve this simple conundrum, Professor Einstein isn't implying we lack for intelligence. Quite to the contrary, he's merely asserting 98% of us, under constraint of intermediate to overwhelming threshold challenge, lack for discipline necessary to be systematic, objective, and circumspect. Professor Einstein asserts, here, between the lines, that we don't have to be smart, to be good at math. To wit, reason we're so lousy at math, is on account we're lazy; we lack for intellectual stamina. When systematically burdened, we waffle. So, let's not let that happen to us. Let's not disapoint him. Okay? Man upstairs gave us a brain. Let's not merely use it. By all means, much as we would, a great handling vehicle, through God's green canyons, let's put the hammer down, no prisoners, and continue on, with great style!

Page Up

Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

German

Danish

British

Norwegian

Beverage:

Coffee

Tea

Milk

Smoke:

Prince

Dunhill

Pet:

Horse


Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

Danish

British

German

Norwegian

Beverage:

Coffee

Tea

Milk

Smoke:

Prince

Dunhill

Pet:

Horse


Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

German

British

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Horse


Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

German

British

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Horse


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

German

British

Danish

Beverage:

Milk

Coffee

Tea

Smoke:

Dunhill

Prince

Pet:

Horse


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

British

German

Danish

Beverage:

Milk

Coffee

Tea

Smoke:

Dunhill

Prince

Pet:

Horse


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

Danish

British

German

Beverage:

Tea

Milk

Coffee

Smoke:

Dunhill

Prince

Pet:

Horse


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

Danish

British

German

Beverage:

Tea

Milk

Coffee

Smoke:

Dunhill

Prince

Pet:

Horse


Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

British

German

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Horse


Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

British

German

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Horse


Homes:

Green

Red

White

Blue

Yellow

Ethnicity:

German

British

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Horse


Homes:

Green

Red

White

Blue

Yellow

Ethnicity:

British

German

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Horse


2. "The Swede keeps dogs as pets."

Only two contradictions emerge, and are thus purged... a wealth of possible outcomes still remain. But, let's stick with it... see what lies ahead:

Page Up

Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

Swedish

Danish

British

German

Norwegian

Beverage:

Coffee

Tea

Milk

Smoke:

Prince

Dunhill

Pet:

Dogs

Horse


Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

German

Swedish

British

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Dogs

Horse


Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

Swedish

German

British

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Dogs

Horse


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

German

British

Swedish

Danish

Beverage:

Milk

Coffee

Tea

Smoke:

Dunhill

Prince

Pet:

Horse

Dogs


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

Danish

British

German

Swedish

Beverage:

Tea

Milk

Coffee

Smoke:

Dunhill

Prince

Pet:

Horse

Dogs

Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

Danish

British

Swedish

German

Beverage:

Tea

Milk

Coffee

Smoke:

Dunhill

Prince

Pet:

Horse

Dogs


Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

British

German

Swedish

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Dog

Horse


Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

British

Swedish

German

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Dog

Horse


Homes:

Green

Red

White

Blue

Yellow

Ethnicity:

German

British

Swedish

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Dog

Horse


Homes:

Green

Red

White

Blue

Yellow

Ethnicity:

Swedish

British

German

Danish

Norwegian

Beverage:

Coffee

Milk

Tea

Smoke:

Prince

Dunhill

Pet:

Dog

Horse


12. "The owner who smokes Blue Master drinks beer."

Contradictions atrit all but six remaining possibilities, below, and our task, now, will become ever simpler, as we progress:

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Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

German

Swedish

British

Danish

Norwegian

Beverage:

Coffee

Beer

Milk

Tea

Smoke:

Prince

Blue Master

Dunhill

Pet:

Dogs

Horse


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

Danish

British

German

Swedish

Beverage:

Tea

Milk

Coffee

Beer

Smoke:

Dunhill

Prince

Blue Master

Pet:

Horse

Dogs

Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

British

German

Swedish

Danish

Norwegian

Beverage:

Beer

Coffee

Milk

Tea

Smoke:

Blue Master

Prince

Dunhill

Pet:

Dog

Horse


Homes:

Red

Green

White

Blue

Yellow

Ethnicity:

British

Swedish

German

Danish

Norwegian

Beverage:

Beer

Coffee

Milk

Tea

Smoke:

Blue Master

Prince

Dunhill

Pet:

Dog

Horse


Homes:

Green

Red

White

Blue

Yellow

Ethnicity:

German

British

Swedish

Danish

Norwegian

Beverage:

Coffee

Beer

Milk

Tea

Smoke:

Prince

Blue Master

Dunhill

Pet:

Dog

Horse


Homes:

Green

Red

White

Blue

Yellow

Ethnicity:

Swedish

British

German

Danish

Norwegian

Beverage:

Coffee

Beer

Milk

Tea

Smoke:

Blue Master

Prince

Dunhill

Pet:

Dog

Horse


6. "The person who smokes Pall Mall rears birds"

Contradictions atrit all but two possible outcomes!

Page Up

Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

German

Swedish

British

Danish

Norwegian

Beverage:

Coffee

Beer

Milk

Tea

Smoke:

Prince

Blue Master

Pall Mall

Dunhill

Pet:

Dogs

Birds

Horse


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

Danish

British

German

Swedish

Beverage:

Tea

Milk

Coffee

Beer

Smoke:

Dunhill

Pall Mall

Prince

Blue Master

Pet:

Horse

Birds

Dogs

S o l u t i o n -

10. "The man who smokes Blend lives next to the one who keeps cats."

We now have enough information to solve this equation. There are two possible solutions. Nonetheless, vis-a-via transitive preference logic, the fish is attributed to the German, in either instance, who lives in the green house. Denote Einstein's efficiency: He does not provide enough information to pinpoint a singular outcome. Rather, he provides only enough information to solve the equation. Begs the question: Who is the Brit's "closest" neighbor, the German, sobering up with a cup of coffee? Or, is it the inebriated Swede? Arguably, in addition to scrambling them up, a sixteenth central inference (clue) was likely stricken by a clever, wiley Dr. Einstein, to leave us pondering a wry, clever irony.

 

Einstein struck a 16th inference...

 

Rich active reading, Carefully examine the two outcomes, below: Relative to the British, both Norwegians and Danes are a reflection; Swedes and Germans a translation...Sweden, the only country designated an alcoholic beverage, didn't lift a finger throughout the course of WWII to help a beleagured Great Britian, buckling under the weight of National Socialist Germany's V-2s. What constitutes basis for mutual frienship between nation states? Cold neutrality of a cowardly, utterly indifferent neighbor, one who never did anything to harm you, or a reconciled defeated foe that once so profoundly did? Point taken. Nonetheless, to proceed any further is extraneous. That the spatial contradiction below is coincidently omnipresent, and significant, particularly in the post WWII vernacular, must be what Einstein intended for us to reveal.

Let's contimue, nonethless...

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Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

German

Swedish

British

Danish

Norwegian

Beverage:

Coffee

Beer

Milk

Tea

Smoke:

Prince

Blue Master

Pall Mall

Blend

Dunhill

Pet:

FISH

Dogs

Birds

Horse

Cat


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

Danish

British

German

Swedish

Beverage:

Tea

Milk

Coffee

Beer

Smoke:

Dunhill

Blend

Pall Mall

Prince

Blue Master

Pet:

Cat

Horse

Birds

FISH

Dogs

15. "The man who smokes Blend has a neighbor who drinks water."

After all that work, Dr. Einstein left us hanging, with a spatial contradiction to dwell upon. Two viable outcomes, reflection and translation laden, simultaneously. Denote the symmetry: Dr. Einstein leaves our arrays impeccably ordered, but our parameters in disarray! We do not know which outcome is correct... we never will. Perhaps Dr. Einstein left this for the United Kingdom, the only stationary parameter, smoking American cigarettes, suckling off it's mother's milk, to decide. Nonetheless, I don't necessarily believe this exercise should call forth reevaluation of the good Professor Einstein, if not but to answer the burning question as to whether or not he was smarter than we think he was. At the very least, this is compelling proof he certainly was no less. Two solutions notwithstanding, reflection and translation omnipresent, either instance, it's the German who owns the fish.

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Homes:

Green

White

Red

Blue

Yellow

Ethnicity:

German

Swedish

British

Danish

Norwegian

Beverage:

Coffee

Beer

Milk

Tea

Water

Smoke:

Prince

Blue Master

Pall Mall

Blend

Dunhill

Pet:

Fish

Dogs

Birds

Horse

Cat


Homes:

Yellow

Blue

Red

Green

White

Ethnicity:

Norwegian

Danish

British

German

Swedish

Beverage:

Water

Tea

Milk

Coffee

Beer

Smoke:

Dunhill

Blend

Pall Mall

Prince

Blue Master

Pet:

Cat

Horse

Birds

Fish

Dogs

Quote Erot Demonstrata -

- A.S. Joseph


Closing Thought -

 

It is not really difficult to construct a series of inferences, each
dependent upon its predecesor and each simple in itself.
 
If, after doing so,
one simply knocks out the central inferences and presents one's
audience with a startling point and conclusion, one can produce
a startling... effect. - Sir Arthur Conan Doyle, Adventures of the Dancing Men

 

~ Thank you, Professor Einstein... we miss you.

 

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