solipsist comments on Rationality Quotes July 2013 - Less Wrong

5 Post author: Vaniver 02 July 2013 04:21PM

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Comment author: solipsist 08 July 2013 06:17:28PM *  2 points [-]

Take the Milky Way, containing 100 to 400 billion stars (let's take 250 billion).

...

Incidentally, the number of US citizens is higher than the number of stars in the Milky Way, so if you find yourself a good way of visualizing the former, you can transfer that understanding to the latter.

So, there are more than 100 billion US citizens?

Comment author: Kawoomba 08 July 2013 06:18:27PM 2 points [-]

Thanks for noting, corrected.

Comment author: solipsist 08 July 2013 08:09:20PM *  0 points [-]

You're welcome.

Comment author: Kawoomba 08 July 2013 08:17:50PM *  3 points [-]

To clarify:

The point is that a few orders of magnitude can be visualized / grasped just by adding another step to the ladder, chopping off only as large a step as you can take at a time.

Then even a whole lotta orders of magnitude just become a short sequence of steps, going off of concepts you find more familiar.

I often start with 10^3 as "number of students in my high school", I have a distinct image of some school photo in the school yard where everyone was on there. After that e.g. the number of images (each showing one yard-full of students) in a photo album. Number of photo albums that could fit in an Ikea shelf. Number of Ikea shelves in a library. Etcetera, though that alone should get you to 10^10 or so.

Suddenly the steep mountain slope has a stairway, and doesn't seem quite so daunting anymore.

Comment author: [deleted] 09 July 2013 03:07:12AM 1 point [-]

I often start with 10^3 as "number of students in my high school", I have a distinct image of some school photo in the school yard where everyone was on there. After that e.g. the number of images (each showing one yard-full of students) in a photo album. Number of photo albums that could fit in an Ikea shelf. Number of Ikea shelves in a library. Etcetera, though that alone should get you to 10^10 or so.

Imagining grains of sand can get you to bigger numbers faster.