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Carpal Tunnel
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Carpal Tunnel
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Allo PEg, nice of you to drop in.
Your definition of intelligent is what I'd consider as clever. How would you define smart and clever?
Funny, eh, the English language. You can have ten people say the same thing and mean something slightly different in each case.
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stranger
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stranger
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I'd say that smart was: quick to comprehend, with an implication of sassiness or newness to it. I'd define clever as witty, with overtones of foxiness and an implication that rule bending might be allowable. All those words have to do with how much good stuff there is in the Central Processing Unit, but some have more to do with RAM than mother board, and others more to do with software . . .  It's nice to be able to pop in, thanks, bel! You're right about English. Some of us treat it as Humpty Dumpty does in Alice. Lack of shared references can keep two people who share the same language from communicating well, can't it?
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Pooh-Bah
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Pooh-Bah
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Hey, Peg, good to meet you (again)!
Now, hwa?
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newbie
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newbie
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Hmm.. I wonder if the whole culture debate is the reason that the SAT was recently changed.
[insert signature here]
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Carpal Tunnel
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Carpal Tunnel
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What is the next number in this series:
1, 2, 9, 262144, ____
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Carpal Tunnel
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Carpal Tunnel
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What is the next number in this series: Is there one that makes some sort of logical sense?
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Carpal Tunnel
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Carpal Tunnel
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Quote:
What is the next number in this series:
1, 2, 9, 262144, ____
I don't know how the 1 was derived, perhaps by defining it, but the second number is 2 to the power of the number preceding it; the third number is 3 to the power of the number preceding it; the fourth number is 4 to the power of the number preceding it; so the fifth number would be 5 to the power of the number preceding it. Deriving the actual number is trivial, so I will leave that up to the reader. I can give you a big hint, though. It ends in 25.
TEd
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veteran
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veteran
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Electronic hard wired color displays are designated as "pallettes". Pallette 1 lets us see 114 color shades. Pallette 2 lets us see 543 color shades. Pallette 9 lets us see 262,144 different shades of colors, the most available. So the answer to the so called Faldage Sequence is " 0" ( as in "none") because there are no further shady mechanisms in the electronic marketplace today. 1,(114) 2,(543) 9, (262,144) 0 
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Carpal Tunnel
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Carpal Tunnel
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The closest I've come up with is 6.206e183230
The recursion is, as TEd sussed, N^=N to the (N-1)^. I haven't decided how to define the base but it doesn't quite matter. It could be 0^=0, 0^=1 or 1^=1. I kinda like the first version just because it seems the elegantest.
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Pooh-Bah
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Pooh-Bah
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You have artistic license when it comes to defining the first numbers in a sequence. Sometimes by playing around with them you get cool results. One of the interesting things about the Fibonacci sequence is that the ratios of successive numbers such 8/5, 13/8, 21/13, etc, approach the famous irrational number known as Phi , associated with the Golden Ratio. But what's even more interesting, is that no matter how you define the first two numbers in the Fibonacci sequence -- suppose your sequence begins 7, 8, 15, 23, 38... -- the ratios of consecutive numbers will still converge on this value 1.61803399. You can even begin with 0 and 7, ensuring a Fibonacci-esque sequence whose members are all multiples of seven, and the ratios of successive numbers in the list will converge to Phi.
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Carpal Tunnel
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Carpal Tunnel
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I played around with a multiplicative Fibonacci series once. pretty neat. I have no idea whether it approached Phi or not. I guess I took artistic license to get it started: 1 1 2 2 4 8 32 256 8192 2,097,152 17,179,869,184 36,028,797,019,000,000 618,970,019,640,000,000,000,000,000 
formerly known as etaoin...
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Carpal Tunnel
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Carpal Tunnel
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ok, how does this series relate to mine above?
1
1
1
3
4
6
10
formerly known as etaoin...
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member
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member
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Ack!!!  Numbers!!! [[runs away freaking out]] Numbers bad! Numbers make my head hurt!  <---Is 75% dyslexic.
Rev. Alimae
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Carpal Tunnel
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Carpal Tunnel
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Quote:
75% dyslexic.
And the other 35% is mathephobic.
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Pooh-Bah
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Pooh-Bah
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That leaves 15%. What's my bid?
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Carpal Tunnel
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Carpal Tunnel
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So, 75, 35, and 15 are not numbers? What are they chopped digits?
Ceci n'est pas un seing.
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veteran
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veteran
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I don't spend a lot of time thinking about it, but here are some random comments. I don't have any particular knowledge of it, but of course that doesn't prevent me from having and expressing strong opinions.
1. I believe that intelligence exists. I do not know that IQ actually measures real intelligence. I do think it is a proxy, but only within a very narrow range - what I would call trivial intelligence. Often we take other tests which are proxies of a proxy, so to speak - the GRE, SAT, etc.
2. There are usually several components - logic, pattern detection/matching, and verbal. Often the components are mixed. Often there are clear cultural components to the test and almost always there are subtle cultural biases. That doesn't mean the tests are useless or that they "don't mean anything."
3. I don't think that all cultures are equal or even equivalent - with regard to promoting intelligence or probably much of anything else. That doesn't mean that I don't think there intelligent - even brilliant - people in every culture. But I do think that those cultures which value it (ACTUALLY value it, as opposed to just saying that they value it) will promote it.
4. Intelligence of nearly any variety isn't always a good thing for the individual.
5. I'm vaguely familiar with Howard Gardner's ideas on multiple intelligences. This seems a good start to me in that it considers intelligence to be a vector rather than a scalar. It's a good start, but I suspect the idea could be expanded.
6. Most people consider "wisdom" very roughly to be how well one can translate intelligence into action. I'll settle for this definition; however, most people consider wisdom to be some sort of higher order function than intelligence, while I just consider it to be another axis of the intelligence vector.
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