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Apr 19, 2012

Road squiggles painting by Roman "Mondzio" Hrab.

The Show Notes

Time dilation under stress
Intro
Fun gigs last week
Follow-up addiction advice
Dr. Damian Handzy’s Facts That’ll Fuck Y’up
     - Even numbers and all numbers
My Cousin’s Show
Road Squiggles: Attain Rant
Religious Moron(s) of the Week
     - Mumbai Church Officials from Fred Bremmer & Milton Merikides
     - Christian School Unwed Mother Firers from David Barwick
NECSS this weekend
Show close

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Mentioned in the Show

NECSS

Roman Hrab Studio

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Ms. Info sez: " I'm one of Mondzio's biggest fans! I have a gorgeous triptych of his in my conference room."

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Ian
almost six years ago

The fact was pretty weaksauce this ep (and also mathematically rather shaky, as presented initially, heh). Mostly because you didn't go far enough!

There's the same number of even numbers as natural numbers... but there's the same number of rational numbers as natural numbers!

Well duh, you say. There's infinity of both.

Here's the fact that will fuck you up. Real numbers? Also infinity of them. But there's more of them (look at Cantor's diagonal proof if you're interested as to how we know this, it's pretty short, elegant and easy to grasp once you see the idea and it's so damn clever). Despite there being an infinity of both.

There's infinities of different sizes, bigger and smaller, and they are distinct mathematical objects that actually WORK differently, rather than being labels applied just-because. Now there's a proper fact that will fuck you up.

dom
over seven years ago

George,

That jam you recorded with your cousin, put it on an album with another two or three similar pieces and I'll be the first in line to buy it!

Zach Schwing
over seven years ago

Hey Geo!
Vibes! Another good show as always. I was just thinking that we have not heard from your mom in a long time! When do we get to hear from her again?
Zach

J. D. Mack
over seven years ago

For anyone who wants to follow the case of Sanal Edamarku, go here:
http://sanaledamaruku.blogspot.in/

To contribute to his defense fund, go here:
http://www.rationalistinternational.net/defence_fund/

Derek
over seven years ago

On the subject of attention, the book "Sleights of Mind" by Stephen Macknik and Susana Martinez-Conde talks about how magicians manipulate this kind of brain behaviour to make tricks work, it's an awesome read. See http://www.sleightsofmind.com.

Eduardo Kalinowski
over seven years ago

Prof. Handzy's fact sure was fucked-up, but I feel it lacked some explanation. So here's my shot:

Suppose we line all natural numbers in order like this:

0 1 2 3 4 5 6 ...

For each number, we can find a correspondence to an even number:

0 1 2 3 4 5 6 ...
0 2 4 6 8 10 12 ...

Since this process can continue to infinity, we can say that for each natural number there is a corresponding even number, thus there are as many even numbers as there are natural numbers, as the professor said.

[BTW, there is no consensus whether 0 is a natural number. It does not matter in this case.]