`2004: Paradigm Shift Knuckle Sandwich`

**When I was a child I was a mathematician,
probably not a prodigy but closer than most. Even by the time I was in my
late teens I could still perform substantial math operations in my head.
I remember using rounding-off methods to make the calculations quicker.
Once I got into my 20s I used my mathematical abilities less & less
until I reached my pathetic decrepit state of the majority of my adulthood.
I still retain a love of math anyway, though, even though I can barely add
my way out of a paper bag (huh?). **

**In 2003 I decided to start reading some
layperson math books.. but not just any old layperson math books.
I wanted to only read the ones about what I consider to be Paradigm Shift
concepts: things like "imaginary numbers" & "transcendental
numbers" & "zero", etc.. Along the way I started making
things inspired by my readings - culminating in my writing a book in the
1st 6 weeks of 2008 called "Paradigm Shift Knuckle Sandwich & Other
Examples of P.N.T. (Perverse Number Theory)". **

**I thought the book might be about 160 pages
when I started writing it. It turned out to be 410 pages. I think it's by
far one of the best things I've ever written. It's also got a potential
readerhip of maybe 5 people (or less). 8 years later I haven't even bothered
to try to get it published. NOW, I may FINALLY publish it myself, possibly
with help from my old pal Trevor Blake of OVO ( ovo127.com
). **

**One of the earliest things I did, before
I wrote the book, was design math rubber stamps that expressed 'P.N.T.'
ideas. The above equation is an example that I had made into a self-inking
rubber-stamp so that I could graffiti with it. Perhaps a literal reading
of it into 'natural language' might be: "For all "x", x =
for all "x", x" or, in English, Anything equals Anything
- which is one of my mottos. **

**The follow-up to that was "Enough
is Enough" rendered above as a photograph of admitted abstruseness.
**

**I won't get into the meaning of these things
here given that I want you to read my book instead (if & when it comes
out). Above is the self-inking rubber-stamp version of "Enough is Enough".
**

**I've always been interested in knuckle
tattoos. Perhaps the most 'classic' one is the one where "l o v e"
is tattooed on one hand & "h a t e" is tattooed on the other.
I worked in a bookstore where a guy who had that tattoo would come in. Whenever
he extended a hand to give me money or to receive a book he was always careful
to only show the "l o v e" hand. I was touched. **

**Of course, I didn't want to have a cliché
knuckle tattoo, I wanted to 'up the conceptual ante'. The above drawings
are early studies for my knuckles tattoo. The upper left, obviously, is
an attempt to make my "Anything is Anything" into a knuckles tattoo
but the non-translation into 8 units was too awkward. **

**The lower right non-commutative anti-axiom
of m + n does not equal n + m was also awkward. What I finally settled on
started out as a straight quote of Leonhard Euler's famous elegant equation:
"e to the power of pi times i = -1". At 1st, in order to make
that 8 symbols, I changed it to "e to the power of pi times i + 1 =
0". **

**Then I decided that wasn't interesting
enough & I wanted to make it more 'mine' so I changed it to "e
to the power of pi times i + 1 to the power of infinity is approximately
equal to 0". This latter tweak was inspired by my reading about "indeterminate
forms" **

**[The term "indeterminate" is sometimes used
as a synonym for unknown or variable (Becker and Weispfenning 1993, p. 188).**

**A mathematical expression can also be said to be indeterminate
if it is not definitively or precisely determined. Certain forms of limits
are said to be indeterminate when merely knowing the limiting behavior of
individual parts of the expression is not sufficient to actually determine
the overall limit. For example, a limit of the form 0/0, i.e., lim_(x->0)f(x)/g(x)
where lim_(x->0)f(x)=lim_(x->0)g(x)=0, is indeterminate since the
value of the overall limit actually depends on the limiting behavior of
the combination of the two functions (e.g., lim_(x->0)x/x=1, while lim_(x->0)x^2/x=0).**

**There are seven indeterminate forms involving 0, 1,
and infty:**

**0/0,0·infty,infty/infty,infty-infty,0^0,infty^0,1^infty**

**(Thomas and Finney 1996, pp. 220 and 423; Gellert et
al. 1989, p. 400). Note, however, that there is a certain ambiguity in this
enumeration in the sense that symbolic expressions of the form infty/infty
can perhaps be written as inftyinfty^(-1), etc.**

**If complex infinity infty^~ is allowed as well, then
six additional indeterminate forms result:**

**0·infty^~,(infty^~)/(infty^~),infty/(infty^~),(infty^~)/infty,infty^~-infty^~,1^(infty^~).**

**The Wolfram Language returns the symbol Indeterminate
upon encountering such expressions in the course of an evaluation.**

**The Wolfram Functions Site uses the notation > to
represent an indeterminate quantity. - http://mathworld.wolfram.com/Indeterminate.html**
**] **

**While the equation's use of "approximately
equal to" would probably be considered ludicrous or, at the very least,
incorrect by any serious mathematician I like it. After all, I'm trying
to use math as a springboard here & not trying to be a 'real' mathematician
- which definitely is NOT what I am. **

**Having decided on what symbols to use I
enlisted the aid of my friend Nathan Mould. Nathan was the person I'd loaned
my tattooing equipment to after I'd repossessed it from 'the-woman-who-couldn't-tattoo-a-splotch'.
As the tattoo I got in trade from Nathan the above was created. It was hard
to do the fine line work that my mock-up called for & the tattoo ink
has since bled a bit so it's not quite as readable as I'd like it
to be. People often think that the right hand spells "exit". One
bank teller copied the symbols, I think he thought it was a gang tattoo.
**

**Of course I love insinuating this
equation into any footage that my hands are in - as a sort of subliminal
paradigm shift. My friend Florian Cramer made a short movie of it &
posted it on Vimeo here: https://vimeo.com/44331577
. The 3 photos above are prime examples of this insinuation. They were taken
by my, at that time, new photographer friend Julie Gonzalez. **

idioideo at verizon dot net

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