[過去ﾛｸﾞ] 現代数学の系譜 工学物理雑談 古典ガロア理論も読む45 (835ﾚｽ)
上下前次1-新
抽出解除 ﾚｽ栞
このｽﾚｯﾄﾞは過去ﾛｸﾞ倉庫に格納されています｡
次ｽﾚ検索 歴削→次ｽﾚ 栞削→次ｽﾚ 過去ﾛｸﾞﾒﾆｭｰ
ﾘﾛｰﾄﾞ規制です｡10分ほどで解除するので､他のﾌﾞﾗｳｻﾞへ避難してください｡
304(2): 現代数学の系譜 工学物理雑談 古典ガロア理論も読む 2017/11/03(金)11:52 ID:lM51R0MT(2/16) AAS
>>303 つづき
で、関連部分引用する（＾＾
外部ﾘﾝｸ:xorshammer.com
SET THEORY AND WEATHER PREDICTION XOR’S HAMMER Some things in mathematical logic that I find interesting WRITTEN BY MKOCONNOR Blog at WordPress.com. AUGUST 23, 2008
(抜粋)
For some interesting comments on this puzzle, see Greg Muller’s blog post on it here
外部ﾘﾝｸ:cornellmath.wordpress.com
(引用終り)
つづく
305(2): 現代数学の系譜 工学物理雑談 古典ガロア理論も読む 2017/11/03(金)11:54 ID:lM51R0MT(3/16) AAS
>>304 つづき
下記「選択公理は間違っている」に対し、Terence Taoのコメントが３つ
外部ﾘﾝｸ:cornellmath.wordpress.com
The Axiom of Choice is Wrong By Greg Muller Everything Seminar blog at WordPress.com. September 13, 2007
(抜粋)
Terence Tao Says:
September 13, 2007 at 9:58 pm | Reply
Terence Tao Says:
September 19, 2007 at 1:45 am | Reply
Terence Tao Says:
September 20, 2007 at 12:42 pm | Reply
(引用終り)
つづく
471(20): 現代数学の系譜 工学物理雑談 古典ガロア理論も読む 2017/11/06(月)00:04 ID:1Au30FRy(5/13) AAS
>>470 つづき
で、むしろ時枝記事に近いのは、君が>>295（>>304）で紹介した下記の方が、時枝に近いだろう
ここでは、任意の関数f(x)の任意の貴方の選ぶ１点（”You pick an x ∈ Ｒ”）を、” whatever f Bob picked, you will win the game with probability 1!”、”it’s arbitrary: it doesn’t have to be continuous or anything”の条件で当てられるとあるよ
Ｎ⊂Ｒだから、”You pick an n ∈ Ｎ”とすれば、時枝記事の場合を含むことになろう
で、時枝記事のように、どこの箱が当たるか分らず、また確率99/100に対して、これは自分で選んだｘであり、”with probability 1!”だから、こちらの解法がよほど優れている
おっちゃん（>>461）、どうだ？（＾＾
外部ﾘﾝｸ:xorshammer.com
SET THEORY AND WEATHER PREDICTION XOR’S HAMMER Some things in mathematical logic that I find interesting WRITTEN BY MKOCONNOR Blog at WordPress.com. AUGUST 23, 2008
(抜粋)
Here’s a puzzle:
You and Bob are going to play a game which has the following steps.
1)Bob thinks of some function f： Ｒ → Ｒ (it’s arbitrary: it doesn’t have to be continuous or anything).
2)You pick an x ∈ Ｒ.
3)Bob reveals to you the table of values {(x0, f(x0))｜ x0 ≠ x } of his function on every input except the one you specified
4)You guess the value f(x) of Bob’s secret function on the number x that you picked in step 2.
You win if you guess right, you lose if you guess wrong. What’s the best strategy you have?
This initially seems completely hopeless: the values of f on inputs x0 ≠ x have nothing to do with the value of f on input x, so how could you do any better then just making a wild guess?
In fact, it turns out that if you, say, choose x in Step 2 with uniform probability from [ 0,1 ], the axiom of choice implies that you have a strategy such that, whatever f Bob picked, you will win the game with probability 1!
つづく
上下前次1-新書関写板覧索設栞歴
ｽﾚ情報 赤ﾚｽ抽出 画像ﾚｽ抽出 歴の未読ｽﾚ
ぬこの手 ぬこTOP 0.041s