- 16 Feb '16 12:15
**Here we can share the Wisdom Infinite...!**

Sri Swami Sivananda speaks on "You are the Master of your own Destiny"

YouTube - 17 Feb '16 15:05

What if you got said wisdom on an infinitely wide bandwidth forum? Wouldn't that give you that infinite wisdom in an infinitely small amount of time?*Originally posted by twhitehead***It would take an infinite amount of time to share infinite wisdom. I don't think you are going to manage in one small YouTube video.** - 17 Feb '16 17:55

Well, wisdom is to do with information and information is measured in bits, which makes it countable. Bandwidth is measured in frequency and as far as we know isomorphic to the reals - a countable infinity divided by an uncountable one comes out to zero. Although there's some controversy about whether space-time is continuous, if it is not then you have countable infinity divided by finite and it takes an infinitely long time.*Originally posted by JS357***Doesn't that depend on their respective aleph numbers (cardinality)?** - 17 Feb '16 19:10

I wonder if the speed of light in a vacuum enters into the calculations. If there were a vacuum such as inside sunhouse's cranium perhaps wisdom would never penetrate.*Originally posted by DeepThought***Well, wisdom is to do with information and information is measured in bits, which makes it countable. Bandwidth is measured in frequency and as far as we know isomorphic to the reals - a countable infinity divided by an uncountable one comes out to zero. Although there's some controversy about whether space-time is continuous, if it is not then you have countable infinity divided by finite and it takes an infinitely long time.** - 17 Feb '16 19:27

Not so. Just because computer programmers like to measure information in bits doesn't mean information is inherently countable. It only means computers can only store countable information.*Originally posted by DeepThought***Well, wisdom is to do with information and information is measured in bits, which makes it countable.**

**Bandwidth is measured in frequency and as far as we know isomorphic to the reals - a countable infinity divided by an uncountable one comes out to zero. Although there's some controversy about whether space-time is continuous, if it is not then you have countable infinity divided by finite and it takes an infinitely long time.**

If spacetime is continuous then the information carried in a photon could be uncountably infinite. - 17 Feb '16 22:58

Since we are talking about wisdom the relevant type of information is a string of symbols and that is countable. Even if the information is continuous it can still measured in bits, it just depends on whether you take your log relative to base 2 or use a natural logarithm when it's Boltzmann's constant in natural units.*Originally posted by twhitehead***Not so. Just because computer programmers like to measure information in bits doesn't mean information is inherently countable. It only means computers can only store countable information.**

[b]Bandwidth is measured in frequency and as far as we know isomorphic to the reals - a countable infinity divided by an uncountable one comes out to zero. Althou ...[text shortened]... spacetime is continuous then the information carried in a photon could be uncountably infinite. - 18 Feb '16 05:24

But the final digit of e has not been revealed.*Originally posted by DeepThought***Since we are talking about wisdom the relevant type of information is a string of symbols and that is countable. Even if the information is continuous it can still measured in bits, it just depends on whether you take your log relative to base 2 or use a natural logarithm when it's Boltzmann's constant in natural units.** - 18 Feb '16 05:41

Why? Explain your reasoning rather than just stating it as fact. I see no reason why wisdom must be either in strings or countable.*Originally posted by DeepThought***Since we are talking about wisdom the relevant type of information is a string of symbols and that is countable.**

**Even if the information is continuous it can still measured in bits,**

No, it can't. The reals are not countable.

**it just depends on whether you take your log relative to base 2 or use a natural logarithm when it's Boltzmann's constant in natural units.**

I don't understand. Please expand on that. How would you store PI in bits? - 18 Feb '16 21:11

How do you communicate wisdom? Language consists of words that can be mapped to symbols in one way or another and so that information is at most countably infinite. Entropy is a measure of information, it's defined as the sum over states of the probability of a state times the log of the probability of a state. The choice of base affects the units that the resultant measure of entropy has, in base 2 that comes out in bits. If the variable that is the information carrier can vary continuously the result need not be an integer. So the bit "count" doesn't have to be an integer.*Originally posted by twhitehead***Why? Explain your reasoning rather than just stating it as fact. I see no reason why wisdom must be either in strings or countable.**

[b]Even if the information is continuous it can still measured in bits,

No, it can't. The reals are not countable.

**it just depends on whether you take your log relative to base 2 or use a natural logarithm when ...[text shortened]... n natural units.**

I don't understand. Please expand on that. How would you store PI in bits?[/b]