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Author Topic: Maximum Possible VP?  (Read 2035 times)

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sudgy

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Re: Maximum Possible VP?
« Reply #50 on: November 29, 2017, 03:26:50 pm »
+1

Also, "positive" implies an ordering; I don't know that there's a default ordering on complex integers (or on the complex numbers), which would push the interpretation of "An arbitrary positive integer, happy?" towards ℤ over ℤ[ i ].

https://proofwiki.org/wiki/Complex_Numbers_cannot_be_Totally_Ordered
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   Quote from: sudgy on June 31, 2011, 11:47:46 pm

crj

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Re: Maximum Possible VP?
« Reply #51 on: November 29, 2017, 03:35:13 pm »
+1

There is no [ring] ordering on the complex numbers [nor complex integers].
Absolutely agree. You could do the lexicographic ordering, but no one does that on complex numbers. Failure to respect multiplication is probably the reason why :)
Digression on a digression on a digression, but...

I love the fact you can express the Gaussian integers using the digits 0 and 1 in base i-1. And the resulting ordering is a dragon curve!
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mith

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Re: Maximum Possible VP?
« Reply #52 on: November 29, 2017, 04:24:32 pm »
+2

And all of our lives were enriched from this discussion, on a thing that totally matters in this context at all, whether or not the colloquial use of the word “infinite” in a context that literally everyone understands is technically correct or not. F.DS at its absolute finest.
Well the thread title asks for the maximum possible VP, so it seems directly relevant whether the answer is ∞ or "there is no maximum possible number of VP".

Except the post that you were disputing did not claim it was possible to gain an infinite number of VP. Only that it was possible to “go infinite”, which most(?) seem to have no problem understanding as “it’s unbounded by the rules of Dominion, and only bounded by the time it would take to physically play out and the heat death of the universe”.

I highly doubt the OP cares about whether we are using “infinite” in a strict mathematical sense or a colloquial one, nor does it matter in the slightest whether the answer is no maximum or infinite VP. At least not to this mathematician.
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Witherweaver

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Re: Maximum Possible VP?
« Reply #53 on: November 29, 2017, 05:11:19 pm »
+6

You can go infinite with Overlord, Crown, Mandarin, Watchtower, Lurker, Raze and Monument.

Or with 5 Highways, a Goons and a Trader with Forum in the supply.

It'd be fun to troll people with this kingdom.  I mean, more fun than other trolling at least.

I came here to gain Silvers and troll kingdoms. And I'm all out of Silvers.
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Jimmmmm

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Re: Maximum Possible VP?
« Reply #54 on: November 29, 2017, 05:38:34 pm »
+1

And I'm all out of Silvers.

You better gain some then.
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Witherweaver

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Re: Maximum Possible VP?
« Reply #55 on: November 29, 2017, 05:50:45 pm »
+1

... the kingdom is, I mean.
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Jimmmmm

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Re: Maximum Possible VP?
« Reply #56 on: November 29, 2017, 06:07:21 pm »
+1

... the kingdom is, I mean.

Silver is not a kingdom card. Do you mean the supply? Do you have any Ambassadors? Are there Silvers in the trash - what about Graverobber or Rogue?
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mith

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Re: Maximum Possible VP?
« Reply #57 on: November 29, 2017, 06:14:15 pm »
+1

You can go infinite with Overlord, Crown, Mandarin, Watchtower, Lurker, Raze and Monument.

Or with 5 Highways, a Goons and a Trader with Forum in the supply.

It'd be fun to troll people with this kingdom.  I mean, more fun than other trolling at least.

I came here to gain Silvers and troll kingdoms. And I'm all out of Silvers.

I mean, technically there is no rule limiting the number of Silvers in the supply, right? Play with aleph-null Silvers, go cwazy.
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jonaskoelker

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Re: Maximum Possible VP?
« Reply #58 on: November 30, 2017, 12:56:47 pm »
+7

I mean, technically there is no rule limiting the number of Silvers in the supply, right? Play with aleph-null Silvers, go cwazy.
Man, I had just found the perfect compact and extensible storage solution, but it only works for a finite number of cards :(
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crj

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Re: Maximum Possible VP?
« Reply #59 on: November 30, 2017, 08:11:27 pm »
+4

Seems like you need a bit of help from Banach and Tarski.
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