Geryon wrote:
Heh, if you didn't specify real numbers I probably would have chosen root -1 or something, but if you have high math skills, as you say you do... so I guess you do, you could probably figure it out while confusing the hell out of me.
Haha, I aspire to that. I don't specify real numbers; in fact, in a previous round that I did win the other guy was thinking of pi * root(-1). Irrational
and imaginary, and I still got it. That was my best round ever.
KrytenKoro wrote:
Math me up, Psudo. What are the rules?
1) You conjure up exactly one numerical value.- 1a - It must be one value only. No sets or ranges or intervals or functions.
- 1b - You have to be able to consistently remember it as the same numerical value. This limits the value's complexity to the limits of your mathematical skills.
- 1c - Equal values count as one value. If you think of 4/5ths and I guess 0.8, I'm still right.
- 1d - "Infinity" is not a numerical value, but a logical concept. It is an invalid choice, as is any number with an infinite number of digits to the left of the decimal point.
2) I have 20 yes-or-no questions to isolate the value you have in mind.- 2a - If I am to win, my final question must be in the form "Is your value equal to [something]?" with the response being "Yes."
- 2b - If the correct answer to my question is something other than a definitive "yes" or "no", or if you are unable to determine the correct answer to my question, you may respond to that effect. But I get my question back. The phrase "invalid question" is a popular way way to uninformatively indicate that.
3) Winning conditions are:
- 3a -
If I use one of my questions to accurately guess your number, I win.- 3b - If my 20th question is used without determining your number, you win. In the interest of good sportsmanship, I'd like to know what the number is.
- 3c - If I can prove one of your yes-or-no answers to be incorrect, I win. So check your work. For example, if you say "No" to "Is this number even?" and "Yes" to "Is this number evenly divisible by 4?"
- 3d - Either of us may resign at any time, making the other the winner.
4) Standard Assumptions:
- 4a - All numbers are assumed to be base 10 Arabic numerals (common decimal numbers) unless explicitly stated otherwise.
- 4b - The infinitesimal (defined as the smallest positive number greater than zero) is assumed to be equal to zero. (thus, 3/3 = 1 = 0.9999...)
- 4c - Questions regarding scientific notation always assume one non-zero digit to the left of the decimal point. 1.04*10^5 and 0.104*10^6 are technically equal, but for the purposes of this game only the former is correct.
- 4d - Any further standard assumptions must be agreed to by both parties before being added to the list.
Those are the rules, the important ones in bold. Are they acceptable to you? If so, than choose your weapon and the duel will begin!
Hrm... should we start a new thread for this so as not to hijack this thread?