8/9/13,
2:21 AM
Ken
Wais
Age,
HalfLife and Immortality
Here
is an interesting idea concerning two sets of numbers. One we will call: YourAge. YourAge is just how old you are,
expressed in integer numbers like 1, 2, 3, etc. The other set we will call: YourHalfLife. This set will be a set of rational
diminishing numbers that is also a convergent set. Unlike the YourAge set which is divergent. They can be shown as follow:
YourHalfLife
1,
½,1/4,1/8, 1/16,1/32,1/64….→0
This
halflife set decreases by ½ of the original number with every member added.
But let’s go back to the YourAge set. It increases by integer values so to show
it we have:
YourAge
1,2,3,4,5,6,7,8….→∞
Now,
let’s say at some point in the 2^{nd} set, how ‘bout 25, which is your
real age in time, we could map the first set to the second? But, I want to go further. Let us also define that the YourAge set is
your real physical age with all the medicalbiological implications that
coinage means. The second set,
YourHalfLife, is a measure of how much the first set extends. Here we have an exquisite mapping of
sets. As you age in life from say an
arbitrary number, 25 in YourAge set, the second set YourHalfLife is mapped to
it. Here is an example of it.
25→25,
26→1/2, 27→1/4, 28→1/8, 29→1/16….∞
When
you are 25 you are 25. This is your base
year. But as years continue your age
decreases by a fraction of that base year. So, when you are 26 you increase in
age ½ your age at 25, at 27 you increase ¼ your age at 25, when you are 28 you
increase 1/8 your age at 25, at 29, you increase 1/16 your age at 25.
Thus,
as you age in real time you actual age would decrease, or should I say your
halflife would decrease?
Here
we are making what algebraic mathematicians call a surjective map from one set to another. That is, we are putting numbers from one set
to another but not the other way around.
Both these sets have properties.
The set YourAge is an infinitely increasing set. The set YourHalfLife is an infinitely
decreasing set. But YourHalfLife is
decreasing to a value. Its value
converges to 0. But, that value is 0,
and it applies to only part of this set.
Since YourHalfLife is a rational number.
The integer part, 25 stays constant only the decimal is converging to
the value of 0. Which means, the set
value YourHalfLife is converging to 25. Let
us show this in a diagram.
YourAge 
25 
26 
27 
28 
29 
30 
31 
32 









YourHalfLife 
25 
25.5 
25.25 
25.125 
25.0625 
25.03125 
25.015625 
25.0078125 
You
can see that as your real age increases, your
halflife age will never go beyond 25.
In fact it will keep getting closer and closer to your original age of
25. Notice also, though YourHalfLife
does converge to 0, it does it infinitely.
It never actually reaches 0, it just tends toward 0. Of course, this
means with such a set mapping you will live infinitely at the age 25. This could be called immortality I guess,
except no one has figured out how to map such agesets. And man o man, I wish some biologistgeneticistwizardscientistbooger would!
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