tag:blogger.com,1999:blog-2541979398191373640.post581362188947378772..comments2023-10-17T03:34:04.053-06:00Comments on Wizards of Oz: Large Numbersdeichmanshttp://www.blogger.com/profile/13358324721299617982noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-2541979398191373640.post-43976732321758401702009-10-03T09:18:22.575-06:002009-10-03T09:18:22.575-06:00Sbiis, Yep - careless mistake on my part. Thanks ...Sbiis, Yep - careless mistake on my part. Thanks for the correction! -sdeichmanshttps://www.blogger.com/profile/13358324721299617982noreply@blogger.comtag:blogger.com,1999:blog-2541979398191373640.post-17412128847508735632009-10-02T15:58:05.025-06:002009-10-02T15:58:05.025-06:00In your article you mention that the solution to y...In your article you mention that the solution to your homework problem was over 10^1000 years.<br /><br /> You state that this is "nearly" 10^100 times the current age of the universe. However that would only amount to about 10^110 years.<br /><br /> When you multiply powers of ten together you add the powers, not multiply.<br /><br />so 10^100 x 10^10 does not equal 10^1000, but "only" 10^110.<br /><br /> This does illustrate just how deceptive large numbers really are. <br /><br />10^1000 is roughly the current age of the universe (10^10 yrs) raised to the 100th power ! Just imagine what that means. The entire history of the universe would be dwarfed by a factor of itself 99 times !!<br /><br />Things get even more counter-intuitive when dealing with double exponential numbers such as the Googolplex (10^10^100).<br /><br />-- Sbiis SaibianSbiis Saibianhttps://www.blogger.com/profile/12289340153316642062noreply@blogger.comtag:blogger.com,1999:blog-2541979398191373640.post-81710593360549745872007-07-25T07:25:00.000-06:002007-07-25T07:25:00.000-06:00postulate: the physical world in complex. as we mo...postulate: the physical world in complex. as we move into psychology, including choice, complexity increases rapidly*.<BR/><BR/>*tempted to write 'exponentially', but that would be imprecise, and i don't want to be accused of innumerancy by Mark! ;-)Sean Meadehttps://www.blogger.com/profile/05065687969605540072noreply@blogger.com