Max Planck informs us that the very space around us is granular. Any movement through space is not perfectly smooth. We are subject to quantum granularity whereby we move directly from one quantum space to the next (measured as a Planck length). No entity may exist between these Planck spaces. This is also true of energy levels, whereby only certain levels are allowed - those determined by quantum increments. We live in a pixelated universe.
The number 'googol' is a 1 with 100 zeros after it. There are not enough Planck spaces in the observable universe to count a googol. A googolplex is a 1 with a googol of zeros after it. A googolplexian is a 1 with a googolplex of zeros after it. Brilliant... and totally useless.
And here's another good one: Moore's Law conjectures that computer power doubles roughly every 2 years. With this in mind, if we were to set a computer to print out the zeros in a googolplex there'd be no point in starting it for 54 years as any earlier attempt would be overtaken by subsequent starts on more powerful machines.
...just thought you should know...
I bet you're a star at parties! Can I come to one with you, then I wouldn't look like a geek :D
The really sad thing is I actually read your post AND found it interesting :'(
Ha, I do get that reaction a lot...
I was inspired to research this after my son asked me what was the biggest (named) number. I got a bit sidetracked...
Quote from: Scissorlegs on September 29, 2011, 12:56:00 AMThe number 'googol' is a 1 with 100 zeros after it. There are not enough Planck spaces in the observable universe to count a googol. A googolplex is a 1 with a googol of zeros after it. A googolplexian is a 1 with a googolplex of zeros after it. Brilliant... and totally useless.
A googol is 1 * 10
100A googolplex is 1 * 10
googol or 1 * 10
10100Though you are correct that a googolplexian is a 1 with a googolplex of zeroes behind it, making it same thing as a googolplex (but in a different grammatical use).
Quote from: ScissorlegsAnd here's another good one: Moore's Law conjectures that computer power doubles roughly every 2 years.
18 months.
Quote from: Tank on September 29, 2011, 07:52:56 AM
The really sad thing is I actually read your post AND found it interesting :'(
Why is it sad? That just doesn't compute with me ;D
Ditto.
Quote from: Davin on September 29, 2011, 04:09:07 PM
Quote from: Scissorlegs on September 29, 2011, 12:56:00 AMThe number 'googol' is a 1 with 100 zeros after it. There are not enough Planck spaces in the observable universe to count a googol. A googolplex is a 1 with a googol of zeros after it. A googolplexian is a 1 with a googolplex of zeros after it. Brilliant... and totally useless.
A googol is 1 * 10100
A googolplex is 1 * 10googol or 1 * 1010100
Though you are correct that a googolplexian is a 1 with a googolplex of zeroes behind it, making it same thing as a googolplex (but in a different grammatical use).
What do you mean by this? My original assertion was correct. A googolplexian is different from a googolplex... by a considerable margin.
Quote from: Davin on September 29, 2011, 04:09:07 PM
Quote from: ScissorlegsAnd here's another good one: Moore's Law conjectures that computer power doubles roughly every 2 years.
18 months.
PCMag.com says:
"The number of transistors and resistors on a chip doubles every 18 months." By Intel co-founder Gordon Moore regarding the pace of semiconductor technology. He made this famous comment in 1965 when there were approximately 60 devices on a chip. Proving Moore's law to be rather accurate, four decades later, Intel placed 1.7 billion transistors on its Itanium chip.
In 1975, Moore extended the 18 months to 24 months."
Quote from: Scissorlegs on September 29, 2011, 05:07:22 PM
Quote from: Davin on September 29, 2011, 04:09:07 PM
Quote from: Scissorlegs on September 29, 2011, 12:56:00 AMThe number 'googol' is a 1 with 100 zeros after it. There are not enough Planck spaces in the observable universe to count a googol. A googolplex is a 1 with a googol of zeros after it. A googolplexian is a 1 with a googolplex of zeros after it. Brilliant... and totally useless.
A googol is 1 * 10100
A googolplex is 1 * 10googol or 1 * 1010100
Though you are correct that a googolplexian is a 1 with a googolplex of zeroes behind it, making it same thing as a googolplex (but in a different grammatical use).
What do you mean by this? My original assertion was correct. A googolplexian is different from a googolplex... by a considerable margin.
Probably nothing, I'm probably just not interpreting what you said correctly.
Edit: Yep, definitely my bad on reading comprehension.