# Think of a numberWatch

Announcements
#1
Between 1 and 10
0
4 weeks ago
#2
done
0
4 weeks ago
#3
Pi
0
#4
Ur number was 6
(Original post by Notnek)
done
0
4 weeks ago
#5
(Original post by Peanutbutter420)
Ur number was 6
What is this sorcery?
0
#6
Man like maths
(Original post by Notnek)
What is this sorcery?
0
4 weeks ago
#7
ok
0
4 weeks ago
#8
You have not specified whether they need to be integers or not, and as a result there will be an infinite number of possibilities from us to choose, and as you will proceed to guess 1 number, which you think we have chosen, you will be choosing 1 out of infinity, therefore giving you a 0% chance of correctly guessing our number.
1
4 weeks ago
#9
(Original post by Glaz)
You have not specified whether they need to be integers or not, and as a result there will be an infinite number of possibilities from us to choose, and as you will proceed to guess 1 number, which you think we have chosen, you will be choosing 1 out of infinity, therefore giving you a 0% chance of correctly guessing our number.
There is a limit to what the brain can imagine which means that there is a finite amount of numbers that you or I can think of.

Therefore the probability of the OP guessing the correct number is > 0.

0
4 weeks ago
#10
(Original post by Notnek)
There is a limit to what the brain can imagine which means that there is a finite amount of numbers that you or I can think of.

Therefore the probability of the OP guessing the correct number is > 0.

Why is there a limit? I can think of as many numbers as I want, as can you. 0.1, 0.01, 0.001, 0.0001, I can just keep going on adding an extra 0 each time. Eventually I'd get to 0.1 million 0s1. Then to 0.1 billion 0s1. Then to 0.1 trillion 0s1. It will keep going. Why can I not imagine more? I could use an RNG a million times and use those numbers as decimals, 0.357832174983456291682746892375 62873648972614763254827471264389 12764837256894276817628746938094 82095809612873873460917293028340 981206787237615237652 and on and on and on. I'm imagining that number, I mashed my keyboard and as I am proofreading this post before I send it, I look over the number. I have thought of that number. Where are the limits?

Therefore, 0.

0
4 weeks ago
#11
(Original post by Glaz)
Why is there a limit? I can think of as many numbers as I want, as can you. 0.1, 0.01, 0.001, 0.0001, I can just keep going on adding an extra 0 each time. Eventually I'd get to 0.1 million 0s1. Then to 0.1 billion 0s1. Then to 0.1 trillion 0s1. It will keep going. Why can I not imagine more? I could use an RNG a million times and use those numbers as decimals, 0.357832174983456291682746892375 62873648972614763254827471264389 12764837256894276817628746938094 82095809612873873460917293028340 981206787237615237652 and on and on and on. I'm imagining that number, I mashed my keyboard and as I am proofreading this post before I send it, I look over the number. I have thought of that number. Where are the limits?

Therefore, 0.

If you are told to imagine a number then you have to store that information in your brain. The brain is finite so there must be a limit to what can be stored in it. So there cannot be an infinite amount of different numbers that you can think of.

Therefore > 0

0
4 weeks ago
#12
(Original post by Notnek)
If you are told to imagine a number then you have to store that information in your brain. The brain is finite so there must be a limit to what can be stored in it. So there cannot be an infinite amount of different numbers that you can think of.

Therefore > 0

I store the information that infinite numbers between 0-10 exist, however I do not store what they are, as I cannot do that. I know they exist, but I don't know what they are. Just because I cannot recount every single number between 0-10 from memory, doesn't mean it doesn't exist. I can't remember what I did for my 10th birthday, but I definitely had a 10th birthday.

Therefore = 0

0
4 weeks ago
#13
Why 1 to 10
0
4 weeks ago
#14
(Original post by Glaz)
I store the information that infinite numbers between 0-10 exist, however I do not store what they are, as I cannot do that. I know they exist, but I don't know what they are. Just because I cannot recount every single number between 0-10 from memory, doesn't mean it doesn't exist. I can't remember what I did for my 10th birthday, but I definitely had a 10th birthday.

Therefore = 0

Since our brains are finite and we have a finite amount of time to imagine a number, there must exist a number so large that our brains do not have the capacity to think of it. If we call that number n then that means we can only think of numbers from 1 to n i.e. a finite site of numbers.

Thus > 0

0
4 weeks ago
#15
69
3
4 weeks ago
#16
(Original post by Notnek)
Since our brains are finite and we have a finite amount of time to imagine a number, there must exist a number so large that our brains do not have the capacity to think of it. If we call that number n then that means we can only think of numbers from 1 to n i.e. a finite site of numbers.

Thus > 0

It doesn't take long to imagine a long number however, I can just imagine 0 then . then a bunch of 0s stretching out into the horizon then a single 1 at the end. I can think of that number, and it is infinite, as I cannot see the 1 at the end, but I know it exists, somewhere.

Thus = 0

Spoiler:
Show
Excuse me for a minute my head hurts <img src="https://static.thestudentroom.co.uk/5d2d7cc640bef/forum/images/smilies/broken.gif" data-sceditor-emoticon="" alt="" title="">
0
4 weeks ago
#17
No, we don't even need to store the number, we can just store instructions such as 3.(then 400 quintillion 2's followed by 300 quintillion 5's).
(Original post by Notnek)
Since our brains are finite and we have a finite amount of time to imagine a number, there must exist a number so large that our brains do not have the capacity to think of it. If we call that number n then that means we can only think of numbers from 1 to n i.e. a finite site of numbers.

Thus > 0

0
4 weeks ago
#18
(Original post by Glaz)
It doesn't take long to imagine a long number however, I can just imagine 0 then . then a bunch of 0s stretching out into the horizon then a single 1 at the end. I can think of that number, and it is infinite, as I cannot see the 1 at the end, but I know it exists, somewhere.

Thus = 0

Spoiler:
Show
Excuse me for a minute my head hurts <img src="https://static.thestudentroom.co.uk/5d2d7cc640bef/forum/images/smilies/broken.gif" data-sceditor-emoticon="" alt="" title="">
Knowing that there an infinite amount of numbers is different to thinking about all of them. You are asked to think of a number so there are finitely many numbers you can think of in addition to thinking of a number than you cannot think of. There is a limit to how you can think about a number that you cannot think of. So if you combine all of these sets you will still produce a finite set of numbers.

Hence > 0

0
4 weeks ago
#19
No, we don't even need to store the number, we can just store instructions such as 3.(then 400 quintillion 2's followed by 300 quintillion 5's).
There are finitely many instructions that you can store therefore there are a finite set of numbers you can store.

Ergo > 0

0
4 weeks ago
#20
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