Is this cool with you?

gAr · 2011-09-05 16:29:56

Hi bobbym,

I haven't watched it.

bobbym · 2011-09-05 19:20:28

Hi gAr;

Okay, let me know when you do, and what you think of it.

Hi reconsideryouranswer;

gAr · 2011-09-05 20:41:45

Hi bobbym,

Okay, but I couldn't find the video.

bobbym · 2011-09-05 20:54:56

Hi gAr;

http://www.youtube.com/watch?v=t8AyJrTJNx4

gAr · 2011-09-05 21:03:53

Hi bobbym,

Thanks for the link.
I like infinity than transfinite number.

Transfinite number sounds more like an overflow.

bobbym · 2011-09-05 21:05:45

Yep! But without that idea you can not say there is a largest number.

gAr · 2011-09-05 21:23:06

There can be no largest number!
Infinity only means very large.

bobbym · 2011-09-05 21:38:27

If you use a modulo structure then there is a largest number. Say mod 7 for convenience. 0,1,2,3,4,5,6,0,1,2,3,4,5,6,...

Notice you can go on forever but that you do not need the concept of infinity. Infinity actually does not belong because it is not a number. The above system is capable of doing arithmetic just like the one we use.

gAr · 2011-09-05 21:51:04

Okay.
I don't understand why anyone would worry about "largest number" if we cannot get there.

bobbym · 2011-09-05 21:59:06

Hi gAr;

The difference is a largest number that is too big to reach is not the same thing as infinity. Infinity is a concept not a number. This concept has changed. In other words Newton, Leibniz, Gauss, Euler and us are not spreaking about exactly the same thing. Contradictions have occurred in math because of infinity. Some mthematicians and many physicists are not comfortable with set theory for instance. Its heavy use of the concept of infinity raises many paradoxes.

His point is we can compute in a modular world without the paradoxes brought about by the use of infinity.

gAr · 2011-09-05 22:28:19

Hi bobbym,

Okay.

bobbym · 2011-09-05 22:32:49

Hi gAr;

Do not worry about it. Mathematicians do not change quickly, I guess we have another 200 years of ∞.

gAr · 2011-09-05 23:10:56

Hi bobbym,

I like the problems which can be verified with a simulation or with numerical methods.

bobbym · 2011-09-05 23:30:04

Hi gAr;

Me too!

bobbym · 2011-10-02 06:10:43

What is the chance that five cards drawn from a standard deck contain 3 or more different suits?

bobbym · 2011-10-20 06:39:10

Hi;

Hot of the presses, a new problem!

The mighty ant is at it again. The ant starts at lattice point A and strolls around making horizontal or vertical moves only on the grid and at random. What is the probability that the ant is on B after 7 moves?

A says) 1 / 2^7
B says) Nope, it is much larger.
C says) 10^-40
D says) How did you get that?
E says) Who cares! It is gibberish anyway, the correct answer is just under 30%
C says) Care to define "just under?" If you will all listen I will explain how I git the correct answer...
B says) Git? Just under 30% ? 10^-40? Does anyone here have a brain?

gAr · 2011-10-22 04:06:03

Hi bobbym,

edit: Oh, I left out the outer vertices, I'll try again!

Last edited by gAr (2011-10-22 04:12:46)

bobbym · 2011-10-22 04:16:02

Hello!

Nice to see you! Is that your answer for the ant problem or do you need more time?

gAr · 2011-10-22 04:20:54

Hi,

Nice to see you too!

Yes, for the ant problem, I'm correcting it...
There's one unsolved one above that question.

bobbym · 2011-10-22 04:24:09

Hi gAr;

gAr · 2011-10-22 04:30:00

Huh, is it? I left out the outer vertices, but answer may be coinciding.

I observed that for odd steps, it's 1/4.

What's the unusual property?

Last edited by gAr (2011-10-22 04:30:36)

bobbym · 2011-10-22 04:35:12

Hi;

gAr · 2011-10-22 04:51:13

Hi bobbym,

Yes, I see now. Thanks for the interpretation.
And correcting the markov chain gave the same answer.
This is my matrix:

bobbym · 2011-10-22 04:54:46

Hi gAr;

gAr · 2011-10-22 05:04:07

Hi bobbym,

Thanks!
I'll take a break now, see you again...

Math Is Fun Forum

#1076 2011-09-05 16:29:56

Re: Is this cool with you?

#1077 2011-09-05 19:20:28

Re: Is this cool with you?

#1078 2011-09-05 20:41:45

Re: Is this cool with you?

#1079 2011-09-05 20:54:56

Re: Is this cool with you?

#1080 2011-09-05 21:03:53

Re: Is this cool with you?

#1081 2011-09-05 21:05:45

Re: Is this cool with you?

#1082 2011-09-05 21:23:06

Re: Is this cool with you?

#1083 2011-09-05 21:38:27

Re: Is this cool with you?

#1084 2011-09-05 21:51:04

Re: Is this cool with you?

#1085 2011-09-05 21:59:06

Re: Is this cool with you?

#1086 2011-09-05 22:28:19

Re: Is this cool with you?

#1087 2011-09-05 22:32:49

Re: Is this cool with you?

#1088 2011-09-05 23:10:56

Re: Is this cool with you?

#1089 2011-09-05 23:30:04

Re: Is this cool with you?

#1090 2011-10-02 06:10:43

Re: Is this cool with you?

#1091 2011-10-20 06:39:10

Re: Is this cool with you?

#1092 2011-10-22 04:06:03

Re: Is this cool with you?

#1093 2011-10-22 04:16:02

Re: Is this cool with you?

#1094 2011-10-22 04:20:54

Re: Is this cool with you?

#1095 2011-10-22 04:24:09

Re: Is this cool with you?

#1096 2011-10-22 04:30:00

Re: Is this cool with you?

#1097 2011-10-22 04:35:12

Re: Is this cool with you?

#1098 2011-10-22 04:51:13

Re: Is this cool with you?

#1099 2011-10-22 04:54:46

Re: Is this cool with you?

#1100 2011-10-22 05:04:07

Re: Is this cool with you?

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