known as Russell's paradox*, was discovered by Bertrand. Russell in 1901. ...
Willard Van Orman Quine* iden fied three types of paradoxes: Types of Paradox
.
Joe’s Paradox Notebook
Classic Paradoxes
Classic Paradoxes
One of My Favorites Suppose there is a town with just one male barber, and that every man in the town keeps himself cleanshaven—some by shaving themselves and some by going to the barber. The barber shaves all and only those men who do not shave themselves. So, who shaves the barber?
The Barber’s Paradox, also
Click here to get a zany video clip about one man’s struggles with this p aradox.
known as Russell’s paradox*, was discovered by Bertrand Russell in 1901. It is commonly considered the most famous of the logical or set-theore�cal paradoxes.
This paradox arises within naive set theory when
considering the set of all sets that are not members of themselves. Such a set appears to be a member of itself if and only if it is not a member of itself! Hence, the paradox.
Get more on n o i t a m r o inf x. o d a r a P s ’ Russell * Russell’s spare formulation of this paradox is: “A man of Seville is shaved by the Barber of Seville if and only if the man does not shave himself. Does the Barber of Seville shave himself?”
Classic Paradoxes
Impossible Objects
Classic Paradoxes
Types of Paradox
Willard Van Orman Quine* iden�fied three types of paradoxes:
I always use a blivit (also known as a poiuyt), to unlock a Penrose triangle!
Does this pain�ng* represent an impossible or merely an improbable scene?
“This is how we see the world, we see it outside ourselves, and at the same �me we only have a representa�on of it in ourselves.”
veridical Produces a result that appears absurd but is demonstrated to be true nevertheless.
Consider the paradox of Frederic’s birthday in The Pirates of Penzance: the surprising fact that a person’s fi�h birthday is the day he turns twenty, if born on a leap day.
falsidical Establishes a result that not only appears false but actually is false; there is a fallacy in the supposed demonstra�on.
For example: the various invalid proofs (e.g. that 1 = 2) are classic examples, generally relying on a hidden division by zero. Another example would be the induc�ve form of the Horse paradox
an�nomy Neither a veridical nor falsidical paradox, an an�nomy reaches a self-contradictory result by properly applying accepted ways of reasoning.
For example, consider Russell’s paradox about the barber of Seville.
Since Quine’s work, a fourth type of paradox has some�mes been dis�nguished: a dialetheia. This is said to be a paradox which is both true and false at the same �me in the same sense—thus viola�ng the principle of non-contradic�on.
—René Magritte,
La Ligne de Vie II, February 1940.
* La condición humana I (The Human Condition), 1933 by René Magritte.
* W.V. Quine or W.V.O. Quine (1908-2000), was one of the most influential philosophers and logicians of the 20th century.
radoxes, a p f o t s i l prehensive rential, e f e Get a com r f l e s , logical tatistical, s , l including a c i t a , mathem , vaugeness , geometry y t i n i f n i , probability and more. topology,
Apparent Paradoxes
In Bananaland, all chairs are green and no chairs are green!
Apparent Paradoxes
Ithat s it a contradic�on to claim there is a place where all
chairs are green and no chairs are green? ple Get a sim of n o i t i n i f e d n. o i t c i d a r t con
“I loved implying that the one thing I believed in was a contradiction.” *
* Steve Martin. “In the Bird Cage,” The New Yorker: October 29, 2007; 48.
At the bo�om of this pain�ng*, René Magri�e painted “Ceci n’est pas une pipe” (This is not a pipe). This statement might appear to be a contradic�on, but is actually true. “Ceci” refers to the pain�ng—not its image. As Magri�e himself is reported to have commented: “Just try to stuff it with tobacco!“ * La Trahison des Images (The Treachery of Images), 1928-9 by René Magritte. This painting’s name is sometimes referred to as “This is Not a Pipe,” or “The Betrayal of Images.”
Apparent Paradoxes
Some say a picture is worth a thousand words.*
Apparent Paradoxes
But in the mind’s eye, a word can also be worth a thousand pictures!
In Bananaland, there are no chairs! So, in that land, all chairs are green and no chairs are green!
* In fact, many people claim this is true.
Apparent Paradoxes
Apparent Paradoxes
Some say talk is cheap.* And walking the talk...
Yet, some say money talks!
* Variously ascribed.
Easier said than done!
Apparent Paradoxes
Writers | Designers
Apparent Paradoxes
= empty area
All writers are designers. Some say you have to be either a designer or a writer. Is this just a veridical paradox?
No writers are designers. Some writers are designers.
Although wri�ng and designing
are not mutually exclusive skills, their strong conjunc�on in a single maker is not common.
Pair o’ Docs
Pair o’ Docs
Instructional design? Can do!
Client
Automatic Data Processing (ADP) | 2007 ADP Dealer Services 2525 SW First Avenue Portland, OR 97201 503-294-4200
Content & Audience
Working with the SAGA Warranty Data Transfer Functions—training program for Volkswagen / Audi Warranty Clerks.
Curious? Inspect a couple of “documents” created for adult training.
Format & Delivery
PowerPoint-based training modules for f2f delivery and
Role(s)
• Instructional Designer
online access. • Writer • Graphic Designer • PowerPoint Developer
D o c u m e n t s H a r d c o p y E l e c t r o n i c S
t
a
t
i
c
D y n a m i c T r a i n i n g I n f o r m i n g M o t i v a t i n g Entertaining
“
The paradox is the source of the thinker’s passion, and the thinker without a paradox is like a lover without feeling.” —Soren Kierkegaard
Run the fi rst m Work odule ing w of ith th Warr e SAG anty Data A Func T tions. ransf er
Pair o’ Docs
Instructional design? Can do!
Pair o’ Docs Client
American Nuclear Insurers (ANI) | 2007 American Nuclear Insurers / Engineering Group 95 Glastonbury Boulevard Glastonbury, CT 06033 860-682-1301
Content & Audience
Radiation Safety Training—a program for nuclear
Format & Delivery
PowerPoint-based training program for f2f delivery by
engineers at ANI member sites. ANI engineers. This program takes advantage of new features in MS Office 2007.
Role(s)
• Instructional Designer • Writer
Still curious? Here’s another training program.
• Graphic Designer • PowerPoint Developer
“
When I came home I expected a surprise and there was no surprise for me, so, of course, I was surprised.” —Ludwig Wi�genstein
ion t a i d a R e h t Run ing n i a r T y t e f a S program.
Pair o’ Docs
Instructional design? Can do!
Pair o’ Docs Client
American Nuclear Insurers / IT Group 95 Glastonbury Boulevard Glastonbury, CT 06033 860-682-1301 Content & Audience Format & Delivery
More you say? Alright, here’s another pair o’ docs for training.
American Nuclear Insurers (ANI) | 2004-2007
CLiP Training Programs—for ANI employees. The initial modules were designed as templates for future, clientdeveloped modules. A set of PowerPoint-based training modules designed for f2f delivery by VP of Information Services. Each module includes 10-15 video clips for demonstrations.
Role(s)
• Instructional Designer • Writer • Graphic Designer • PowerPoint Developer
NOTE: The ANI Training Program sample
contains multiple files in a 9.6 MB PKZIP file
(CLiP 3 PPT Training Demo.ZIP)
1. Save the PKZIP file in a temporary folder
and extract the files.
2. Click on the ANI-Mod-3d.pps file to
launch this program sample.
3. On any slide where you see a mouse icon
(), click on the adjacent image (the cursor
will change from an arrow to a pointing
finger) to run the video clip.
Download a copy of a CLiP Training Program— including video clips and audio files.
Pair o’ Docs
Instructional design? Can do!
Pair o’ Docs Client
Clackamas Community College (CCC) | 2005 19600 South Molalla Avenue Oregon City, OR 97045 503-657-6958
Content & Audience
SPIRAL Modules—for a hybrid Ethics course (predominately young adults). The two modules in this program introduce the student to the basic concepts of the theory of evolution.
Format & Delivery
Here’s a web-based, interactive program for college students studying the theory of evolution.
Online, interactive, self-paced study modules designed to augment the native resources of the Blackboard LMS used by CCC for online and hybrid courses.
Role(s)
• Instructional Designer • Writer • Graphic Designer • Dreamweaver Developer • Course Instructor
“
Only the paradox comes anywhere near to comprehending the fullness of life.” —Carl Jung
Run SPIRAL Module 1— A Hike on the Beach.
Pair o’ Docs
Pair o’ Docs
Training programs? Can do!
OK, here’s another program for training and fast, technical reference.
Client
Watson Wyatt Worldwide (WWW) | 1999-2001 Watson Wyatt Software / REWARD Group 5335 SW Meadows Road Lake Oswego, OR 97035 503-598-4467
Content & Audience
What’s New in 2 (REWARD 2.05)—for WWW user, admin, and sales training for the REWARD compensation administration system.
Format & Delivery
Acrobat-based reference and training program with hyperlinked text and introductory video clip. This guide was linked with the REWARD software via the F1 key.
Role(s)
• Instructional Designer • Writer • Graphic Designer • FrameMaker Developer
“
All modern thought is permeated by thinking the unthinkable.” —Michael Foucault
New s ’ t a h W e h t Run am. r g o r p g n i n i in 2 tra
Pair o’ Docs
. . . + technical writing, copywriting, Web content development, program management . . .
It’s true. I can wear several different some�mes even simultaneously!
job hats—
We’re talking mul�-dimensionalism here . . . maybe “pair o’ digms” or more.* An uncommon conjunc�on of skills? Perhaps. Outside of the box? Maybe. But not a paradox.
The Writers & Hats Puzzle & Paradox* In a simple version, this is a logic puzzle. In more complex versions, it becomes a paradox!** Four writers are arrested for gross copyright infringement. But the jail is full and the jailer has nowhere to put them. So, he decides to give them a puzzle. If anyone can solve the puzzle, all will go free. If nobody solves the puzzle, they will be executed. The jailer puts three of the writers si�ng in a line. The fourth is put behind a screen. He gives all four hapless scriveners party hats. The jailer explains that there are two red and two blue hats. Prisoner C can see the hats on B and A; B can see the hat on A. The fourth prisoner behind the screen can’t see or be seen by any other prisoner. No communica�on among the prisoners is allowed. If any prisoner can announce to the jailer the colour of the hat on his head, all four prisoners go free. How can they excape death?
* Some say that paradoxes can lead to new paradigms. For example, refer to Frank Wilczek’s Nobel Lecture, “Asymptotic Freedom: From Paradox to Paradigm.” The 2004 Nobel Prize in Physics was awarded to Drs. Wilczek, H. David Politzer, and David J. Gross for their discovery of asymptotic freedom in the theory of the strong interaction.
Pair o’ Docs
* This is an adaptation of the Prisoners and Hats Puzzle. Link here for the solution to this puzzle.
Chec k Joe ’s tec com h proje cts. rcom a m s ’ e o J k c e Ch projects. ine l n o ’s e o J k Chec . s t c e j o pr ** Link here to evaluate the claim that the variations on this puzzle needed to turn it into a paradox are minimal.
Pair o’ Docs
Can do!
Well . . . enough about my stuff—merely more examples of the false dichotomy between designing and writing,
Pair o’ Docs
Smale’s Paradox This ‘paradox’ was discovered by Stephen Smale in 1958. It asserts that it is possible to turn a sphere inside out in 3-space with possible self-intersec�ons but without crea�ng any crease, a process o�en called sphere eversion. The first example was demonstrated by several mathema�cians, including one who was blind, Bernard Morin. Here is an illustra�on of the half-way model of the sphere eversion discovered by Bernard Morin—as viewed from the top.
creating and analyzing, and so forth. No paradox here!
There is a lot to learn and my small notebook has now run out of space! There are so many more paradoxes that are noteworthy! Space...where does it all go?
Chrome Contact A young, alert student and a zany professor team up to decipher the first messages from the Chromes.
ontact— C e m o r h C n Ru interactive , d e s a b L M HT ook is B e s i h T . n o i t fic tegrated n i r o f d e n g i des fictional a a i v g n i n r lea to young d e t e g r a t y r sto adolescents.
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Joseph Corrado Centroid Communications L a k e O s w e g o , O r e g o n , U. S . A . 503.639.4013 503.522.9548
[email protected] w w w. C e n t r o i d C a f e . c o m
January 2008
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