Cactus Game Design Message Boards

i know lol i was being sarcastic.

My favorite math debate is "What is the limit of (the sine of x)/n, as n approaches infinity?"

Some say zero. I say six.



And @Megamanlan: there's algebra based physics. Funnily enough, I was in a calculus-based physics class before ever taking calculus.

I'd argue that Retricts are not that.

Restricts are not what?

My favorite math debate is "What is the limit of (the sine of x)/n, as n approaches infinity?"

Some say zero. I say six.

Now that's funny.

My favorite 3 math debates are:
     A - whether 1 / infinity REALLY is = 0,
     B - whether .999 repeating REALLY is = 1 (same idea)
     C - whether 6 x 9 REALLY is 42 (for all you Hitchiker's fans).

A is more or less philosophically true, but mathematically unprovable. It's axiomatic, based on the definition of infinity being representative of a number greater than any other number. In order for a number to be a number, adding another number to it must result in a number. So if we agree that x is a number, then x+1 must also be a number. Hence, the concept of infinity cannot be a number, thus division doesn't really apply to it.

However, if we were to philosophically apply the rules of mathematics, then all numbers (excluding zero, but including infinity, if we accept that it is a number) must have multiplicative inverses. Let's assume that the multiplicative inverse of infinity is a, i.e. 1/infinity = a. Let's then assume that a > 0 (it certainly cannot be less than 0, so really we are assuming that it is inequal to zero, to set up a contradiction).

Since a > 0, there must exist some a' such that a > a' > 0. Thus, 1/a < 1/a'. However, 1/a = infinity, thus infinity < 1/a'. But there cannot exist a number greater than infinity, thus 1/a' cannot exist. We then have a contradiction, so our assumption that a > 0 cannot be true. Hence, a = 0, thus zero is the multiplicative inverse of infinity, thus 1/infinity = 0. Again, the proof is only valid when you apply the rules of number theory to a quantity that is not really a number (infinity) so the idea that 1/infinity = 0 is only philosophically true, and must be accepted axiomatically to be useful in mathematics.

B. 0.999... = Sum(0.9*(0.1)^(n),0, infinity). That is a fact that must be accepted as a definition of 0.999...
    The sum of an infinite geometric sequence Sum(a*k^n,0, infinity) is defined as a/(1-k), thus .999...= 0.9/(1-0.1) = 1
    A similar argument can be based on the idea from above, as Prof U suggested:
    .9 = 1-1/10
    .99 = 1-1/10^2
    .999 = 1-1/10^3
    ...
    .999... = 1 - 1/10^infinity = 1- 1/infinity = 1 - 0 = 1

C. 6 x 9 = 42 in Base 13, and apparently in Hitchhiker's Guide to the Galaxy (yes, I'm a nerd who has never read it).

My brain hurts...

Forget math.  Shakespeare could be an Elder.

"To be, or not to be.  That is the question"...

...on which I failed miserably to provide the correct answer.  May the slings and arrows torment me forever!


Or until all erratas are repealed on ANB...whichever comes first. 

That they can't restrict other players and their cards. I'm just making an Arguement that CBN is a Restrict ability.

In a way it could be seen like that, but it's really not. CBN/I/P abilities have their own class of abilities, assigning them to a different class might lead to headaches when it comes to possible (but improbable) wording like "protect players from restrict abilities, etc.".

My brain hurts...

Sorry about that.

I think we have gotten off topic here cause how does math deal with the issue of Wool Fleece

Math deals with everything.

Math deals with everything.

9, 9, 9, 9, 9, 9, 9, 9, 9!

Inglorious Basterds - Hitler's "Nein Nein Nein Nein Nein Nein!!!" Rant

That's the 2nd, mabey 3rd time I've hear you bing up obamacare in the last few days. I'm getting the feeling you really don't like it 

I think it would be better like that but make it that cards that negate Restricts (like an Iron Pan like card that negates Restrict Abilities) those cannot Stop a CBN card, but then have something that can hurt CBN cards because the overpowered effects are getting crazy especially w/ the CB-cards.
I'd like to see something that is useful against CBN cards (especially like CBN Discards, because of what is now going on w/ the OP CBN D/C's)

Obamacare is unconsitutional. I wouldn't assume that all Christians are conservative, since there are Christians that believe Socialism is in the Bible (which is wrong too)

I know there are Protects/Insteads/Immunes, but most of the time I'm waiting to use my Protectorite until after my Opponent has played a nasty card, but now because I can't ItB w/ them, it makes it pointless to do that. I'd rather see more ways to get around them, especially for the themes that don't do to well against them.

I made one myself that's cool too: