Return Styles: Pseud0ch, Terminal, Valhalla, NES, Geocities, Blue Moon.

Pages: 1-

( ≖‿≖)

Name: Anonymous 2011-09-28 14:30

when was the last time a girl raped you with her eyes?

Name: Anonymous 2011-09-28 14:33

Yesterday, watching Love Hina. Naru wanted it so badly.

Name: Anonymous 2011-09-28 14:35

    . -‐…/ ,.=ミ   `  .
                  /,  ´ ̄ ̄ ̄ ̄ {    У  ヽ  \
    .           ,  厶-―… …‐-ミ∧       ノ    \
              / /           ‘,    /      丶、
    .         /  ′       \     \_,. く \     ‘, ⌒
           ,     |        、 \        \‘,   ‘,
     \ー =彡  /  |          ト、   ト、      Ⅵ     ‘,
        ー一   '  八     l|    | }  | ヽ      |     ‘,
            |{    トミ  ト、   l|、厶斗‐ i        |{    ト ゝ     I hate it when they do that and I'm forced to hear their lewd thoughts. ;_;
    .        八   |  \{  \ {  Ⅵ   |      八 ‘, 、
    .          \ | ^戈ッ \  ` y'弌::ア^     /    ‘, \
                 ,へ ハ=彡     ー=彡j   ,   / |{    i /⌒ヽ
            / /   八  、         厶イ  ,/  八   |/
            /⌒7   i  丶          ,'  /  /  \  ‘,
             ,  / 、   \ ^   .  ≦ / / i…‐-ミ   ⌒ヽ
               /⌒    \  | `T爪    /´   |: . .   i
                   \{ i|  .:}        У   |
    .             厂し勹-‐ ´リ /       /     、
    .            \_Y       /     /        \

Name: Anonymous 2011-09-28 18:42

>>3
oh no satori your face is broken

Name: Anonymous 2011-09-28 20:46

>>4
That's not very nice of you...

Name: Anonymous 2011-09-28 22:29

>>5
fuck you're touhou

Name: Anonymous 2011-09-28 23:17

SLACKWARESUPREMACYSLACKWARESUPREMACYSLACKWARESUPREMACY

Name: Anonymous 2013-08-31 6:51



       _,,..-=ニ二7
     r'ア´
    ノノ   r'ア'"`ヽ.,_ _,,..-=-、    _,. -rァ
   r'ァ⌒ヽ、i7::::::::;>''"´:: ̄ ̄`"''<´:::::::::!(
   .||    r!:::/::::::::::::::::::::::::::::::::::::::::ヽ:::::/i'
   ||      ^Y:::::;:::::i:::::::::/i::::::i:::::::;:::::::;::::Y (_
   ||    ./i::::::i:::/!--/ |:::;ハ_!_::i::::::i:::::::i r'ヽ.  あけおめ~  
   !!    く:::L__ハ/-‐‐'  レ' _!__;ハ::::ハ:::::|_,ゝ:::',
   ',',ヽ.   ヽヘ「7""         `レ7´)/:::iヽ;:::i
   i´`とン' ´`ヽ!,人  「' ̄ `i ""7_/'´':::::::! i:::!
   ヽ.,_//」 、_,ノ:::::ノ>.、、,___,ノ_,,.イ:::!、__!7ノ__. レ'
     i   ゝ-ァ'/ /)_iヽ/ /(/ゝ、.,_ノ   ̄「iー-、
    ノ〈)    `  /::::ソ^ヽ、/」::_r' _/ /」      |つ-'
   <.,  _____,,,... イ::::くr-、_」:::::::::Y^ヽ、    [] ',
      ̄  レ'   l>-、::;;_______;;::」〉'ノヽ.   __ 〉
   ((    r'ア'"/:::/ i ヽ;::::ヽ`''::ーァ、`''ー-┴'"
        r'i:::/::::::/ .l   ';:::::::::::::::::!,」
        `ゝ、:::::/  l   ヽ;::::::::::/」    ,. -- 、
          └へ>、,_!_______,,..>ァニン!    /::::::::::。:',
            'r-- 'i    ̄ヽ,_ノ    ',.-。-、,ノ!
            ヽ二ノ           ヽ、.,___,ノ

Name: Anonymous 2013-08-31 8:15



わ からない事は上白沢先生に相談しよう
きっと答えてくれないが気休めにはなるぞ!

┌───────────────────────────
|質問:
└───────────────────────────
       iヽ、
     ____」____ゝ'´/':\ /|        ハクタクシステム Ver.1.00
     ヽ. _/___/___::\/        ____________________________________
      <Y---r二二二二ハ.フ.     |
       ,.L__:::::|::::i::::L-」::l::7>       | 質問の答え:
     /     ̄' 'ー---─' `ヽ.     |
    ./   ,.      ⌒ヽ.     ',     |
   ,'  / / ‐/- i:::::::::::i   `ヽ!.    |
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  .!r〈_   !,ヘ!:::ヽヘハ::::;イノ:::::;ヽ! ヽ,!   !  ‐--,' 「`ヽ_/`i
  !.ゝr、__r、i::::::::::::/ ハ Y::::::::::i  r/ ヽ   ー,--'  ,'ゝ-^ー‐'´ヽ.
  !/  、/ヽ;::::::〈  ハ ',:::::;イ、_ /!   7`  ̄    L!_!ハ!_ハ_i.」 i
  .〈    ヽ、/:::::::::ヽ/Vヽ、〉::::! !`ー,ヽ-'       从゚ ー ゚く」 | |
  .レ\ ,.イ`ヽ:::::::::::::ハ::::::::::::ハ、 |ノ          }>!|,イ〒イヽ! |<{

Name: Anonymous 2013-08-31 9:41



        フ_  -‐ァ   ー┼‐  -─ァヽヽ -─ァヽヽ ー┼‐   「 ! 「 !
       ̄/          .ー┼‐  /     /    .(_|   .|/  |/
       `ー   `ー‐‐'  (_|`ヽ  `ー-    `ー-     ノ   O  O

  \\       ':,           ___         /       / /
     \       ':,     ,. ''"´     `"' 、   /      //
      \        , '´   / ̄      r'oヽ_
               /     /      l   \ヽo)      /
          \  /   /  / /|  ,  /メ、    Y ヽ.  /
`'  、         ,'  ./  !/メ. |  //| _」,ハ    |  ハ
    `'  、      |  ,|   |.ァ'テ、|/ ァ'i´ノハ/|   ハ.  |
        `'  、 ! 八.  八 j_rリ    ゝ-゚' [`ヽ/ |  |
              ∨  \,ハxx   ' __  xxト-、ノ  /ヽ八
`"''   、...,,_        _/ 人   l7´ `ヽ/\)  /  .!  \,. -、!
       ヽ.ー--‐ ''"´ / /  ,>,、   _/`ヽノ-‐/   /ヽ. /  /
        _.> , '"´  | _ /  ]ア/   / / ./   ,ハ_/  /ヽ.
     , '"´   /     /´ | | ̄`7ヽ| / //./   `   'ー---‐、
    /    ,       _|_// / / |/  | |/   、_     _,,..ノ\
     |   /!     [.__/ |// /     ., '  _     ̄   \    ,ハ
    '、  /  ヽ、    | /    .|/      /   ノ-‐‐ァ'─--rへ. \    |
、     \|     \  /人    ハ     ゝァ'|:::::::::´::::::::::/∧  ` ー' |  /
. \          ` /  |    .! !   '"   ! '、::::::::::::::::/./  \  //
\/、          /  /     | |       |   `'ー--‐' /     `'く
    \     _,r/  r/    /./      |\___,.∠.__     ',
     \ __//   /| '    /∧        ∧ \.           |
      r\//   /|. \  /./\\      |\ `''ー-- 、____.ノ

Name: Anonymous 2013-08-31 10:37

"SLACKWARESUPREMACY[/b]SLACKWARESUPREMACY[b]SLACKWARESUPREMACY"

Name: Anonymous 2013-08-31 11:05



            _,.、     /7ヽ.
          /:::;ヘヽ,.___,:'::∠i:::/_
          ,':::/´ i::| /::/ /:/   `'' 、
        ,.'"':;::'、 |:|_/∠、r'-'、_ノ     `ヽ.
        !  \ゝ'-'"´ ̄; ̄ヽ_>-、_,ノ   i
       rゝ、‐ '" / | !  ,ハ-‐ハ`'ーrヽ、__」、
       くr'"/  /-‐!/! ,'-ァ''テ'ヽ! i`ヾr-r'
       ノ i  /ァテァ、レ'   iっ .,ハ /! ,ゝ !  †聖猫天使姫†
      ,:' /! ,ハ i. iっi    ゙'ー‐' レ' |/  |   まじかる☆ゆかりん(9)
      /へrヽ !'7.,.,`'" _____  '"'"7 ,'  i |
         )ン'ト.、,   `'、__ノ   ,.イ / .ハ ',   が来たからもう大丈夫だ!
        ,:'  //`"i':ァr‐ ,r'i´、! ,'  ,' i  ヽ.
         i ,:i /,.:'"´ストーンガ:;:::レ'::ヽ. !  ',  )
        レ'ノ k':::::/::::}>く{:::::}>く{:::::::Y   i ,ハ
       }>く{^ヽ,7ーi:::::/ムヽ:::::〈〉:::::::::::〉  レ'  ':,
        ノi ,ノ/r'7ー--r‐ァTアゝr-‐ヘ!-‐ァ'iく{ i
       〈ノ / /ヽ/へ/ヽ、ハ/ヽ.  `'く、!,__ノ
     /ゝrイ´:::::::/::::::::!:::::::::::';:::::::::::::ヽ、_、_!> `>
    //  Y、::::::/::::::::::!::::::::::::::';::::::::::::ヽ;:イ」ヽ┘
   ,:'/ /,∠ヽ7>、:;____|______:::::::';___;;::イン´
  ,/_,,.. -''"   `'ーr'ー‐ァヘ、__ハ二、_,ン‐r'
(ン´         i`'ー/       ヽー'"i
            `ー'        `ー'

Name: Anonymous 2013-08-31 12:31



            ,. '" ̄ '' 、ー--‐ 、.,_                ,.:'"ヽ.
         ,.:'´        `ヽ  `ヽァ`、            ,:'::::::::;:'
      ,'⌒」      ルイ      ァ'":.:.:.`ヽ.         /::::::::::/
     ,.'" ̄`ァ'、.,_____ ージ   __ノ ,i:.:.:.:.:.:.:.:.:.:.':,       ,'::::::::::;'
    !,アヽ、.,____  ____`>ー-‐‐ァ'o、!y'":.ヽ:.:.:.:.:',        !:::::::::;'
   //:.:./:.:./:.:.i ̄:.:.:.:!:.:.:.:.:';.:.:.:.:.:.:.:.:';i:.:.:.ノ:.:. ';:.:.:i        ':,_;ノ
  /:.:.:!:.:.:;':.:.:;':.:.:.:iー-.:.:,ハ:.:.:.:.:.ト、:.」ニ_ハ:.:.:.:.:.:.:. i:./        ,:'
  `ヽ:L__!:.:.:.i:.:.:.:,ゝ;=‐'、ヽ-‐' ァ'i´ '`ハY、:.:.:.:.:.:i:〈       ,:'
    ノ└ァ'カッ7 i  ハ      '、___ンノ!:.:ゝ、:.:.ト、ヽ、.,_,ノ   /
    (;.;.;ノ /パ ゝ- '       ⊂⊃:.:.:i:./:.:.:':,:.',ヽ.  /
   、__ソ' 〈:.:.:.⊂⊃   `_______    ,r'ノ:.:.:ハ`:、:.:.:.:!ノ /
      __ノ_ノ:.:.:':.、    ヽ!  `ソ ∠;_:.:.:/_;ン´__,.ァ7'´ ̄`ヽ
      `ソ:.:.:.:.:ノ`':ァ .、.,__  ,. イへ-'‐ァ'´ 7 / / ソ' ̄ ̄ヽi
       ^つ'´ ( ̄_,.r-イ   /´ /レ7! / ! !__,!ー---、 !
          ,.く/i__,/∞く   /]  /!,'  ', ',ソ、________ソ
         /  7 ',   /ヽ-'┘  レ、!ゝ、 ヽ、_______ノ/
        /   /  `♀'        ',`'ー>.,,_/___,,.ン'
      /  、i   /Fヽ、.,       i`i:::::::::::/:::::|
 _,.r‐ァ''"     ,!/   i   `''ー---─ i::r---/┐::::!
'´ / /      /    ハ         i:[二7二!::::::|
とi i       く    / !      、   〉:::::::::::::::::::::!

Name: Anonymous 2013-08-31 12:58


The characters initially were too gimmicky to feel like actual characters, though they're starting to flesh out a little bit now.

Name: Anonymous 2013-08-31 13:12


now the question is, is it going to end like Bokurano (unlikely) or Mai-Hime(much more likely)?

Name: Anonymous 2013-08-31 13:43


 English version drops tonight. Are you ready?

Name: Anonymous 2013-08-31 14:29


 Anyone got the chart for latest Nogizaka's handshake event?

Name: Anonymous 2013-08-31 15:14


Time enough has passed for a moebeetus thread. heart-stopping images abound. Lay it on thick

Name: Anonymous 2013-08-31 16:51



       _,,..-=ニ二7
     r'ア´
    ノノ   r'ア'"`ヽ.,_ _,,..-=-、    _,. -rァ
   r'ァ⌒ヽ、i7::::::::;>''"´:: ̄ ̄`"''<´:::::::::!(
   .||    r!:::/::::::::::::::::::::::::::::::::::::::::ヽ:::::/i'
   ||      ^Y:::::;:::::i:::::::::/i::::::i:::::::;:::::::;::::Y (_
   ||    ./i::::::i:::/!--/ |:::;ハ_!_::i::::::i:::::::i r'ヽ.  あけおめ~  
   !!    く:::L__ハ/-‐‐'  レ' _!__;ハ::::ハ:::::|_,ゝ:::',
   ',',ヽ.   ヽヘ「7""         `レ7´)/:::iヽ;:::i
   i´`とン' ´`ヽ!,人  「' ̄ `i ""7_/'´':::::::! i:::!
   ヽ.,_//」 、_,ノ:::::ノ>.、、,___,ノ_,,.イ:::!、__!7ノ__. レ'
     i   ゝ-ァ'/ /)_iヽ/ /(/ゝ、.,_ノ   ̄「iー-、
    ノ〈)    `  /::::ソ^ヽ、/」::_r' _/ /」      |つ-'
   <.,  _____,,,... イ::::くr-、_」:::::::::Y^ヽ、    [] ',
      ̄  レ'   l>-、::;;_______;;::」〉'ノヽ.   __ 〉
   ((    r'ア'"/:::/ i ヽ;::::ヽ`''::ーァ、`''ー-┴'"
        r'i:::/::::::/ .l   ';:::::::::::::::::!,」
        `ゝ、:::::/  l   ヽ;::::::::::/」    ,. -- 、
          └へ>、,_!_______,,..>ァニン!    /::::::::::。:',
            'r-- 'i    ̄ヽ,_ノ    ',.-。-、,ノ!
            ヽ二ノ           ヽ、.,___,ノ

Name: Anonymous 2013-08-31 18:16



わ からない事は上白沢先生に相談しよう
きっと答えてくれないが気休めにはなるぞ!

┌───────────────────────────
|質問:
└───────────────────────────
       iヽ、
     ____」____ゝ'´/':\ /|        ハクタクシステム Ver.1.00
     ヽ. _/___/___::\/        ____________________________________
      <Y---r二二二二ハ.フ.     |
       ,.L__:::::|::::i::::L-」::l::7>       | 質問の答え:
     /     ̄' 'ー---─' `ヽ.     |
    ./   ,.      ⌒ヽ.     ',     |
   ,'  / / ‐/- i:::::::::::i   `ヽ!.    |
    i   i  !/ア!-;!、ハ:::::::ハ-!、.i . i.   |
   |  ハ .! ! !__r! ' レ' ァ!‐;!、i i |   |
   |  i レ' ! "    ,   !.rハ/レ'ヽ!  <
   |  ! .|ハ、   、..__   "/:::| .|     l___________________________________
    | ./i  |::::!>、._  _,,.. イ .|::::| |  ,.、    __
   .| ./ !,..-|::::|'´/ヽ二ン`7ー、|:::|. | i !,,.-''" ノ
   |/ /  .|::::|〈 イ::::V:::::::::!〉:`i:::ト、! .! ヽ -=ニ__
  .!r〈_   !,ヘ!:::ヽヘハ::::;イノ:::::;ヽ! ヽ,!   !  ‐--,' 「`ヽ_/`i
  !.ゝr、__r、i::::::::::::/ ハ Y::::::::::i  r/ ヽ   ー,--'  ,'ゝ-^ー‐'´ヽ.
  !/  、/ヽ;::::::〈  ハ ',:::::;イ、_ /!   7`  ̄    L!_!ハ!_ハ_i.」 i
  .〈    ヽ、/:::::::::ヽ/Vヽ、〉::::! !`ー,ヽ-'       从゚ ー ゚く」 | |
  .レ\ ,.イ`ヽ:::::::::::::ハ::::::::::::ハ、 |ノ          }>!|,イ〒イヽ! |<{

Name: Anonymous 2013-08-31 19:31



       _,,..-=ニ二7
     r'ア´
    ノノ   r'ア'"`ヽ.,_ _,,..-=-、    _,. -rァ
   r'ァ⌒ヽ、i7::::::::;>''"´:: ̄ ̄`"''<´:::::::::!(
   .||    r!:::/::::::::::::::::::::::::::::::::::::::::ヽ:::::/i'
   ||      ^Y:::::;:::::i:::::::::/i::::::i:::::::;:::::::;::::Y (_
   ||    ./i::::::i:::/!--/ |:::;ハ_!_::i::::::i:::::::i r'ヽ.  あけおめ~  
   !!    く:::L__ハ/-‐‐'  レ' _!__;ハ::::ハ:::::|_,ゝ:::',
   ',',ヽ.   ヽヘ「7""         `レ7´)/:::iヽ;:::i
   i´`とン' ´`ヽ!,人  「' ̄ `i ""7_/'´':::::::! i:::!
   ヽ.,_//」 、_,ノ:::::ノ>.、、,___,ノ_,,.イ:::!、__!7ノ__. レ'
     i   ゝ-ァ'/ /)_iヽ/ /(/ゝ、.,_ノ   ̄「iー-、
    ノ〈)    `  /::::ソ^ヽ、/」::_r' _/ /」      |つ-'
   <.,  _____,,,... イ::::くr-、_」:::::::::Y^ヽ、    [] ',
      ̄  レ'   l>-、::;;_______;;::」〉'ノヽ.   __ 〉
   ((    r'ア'"/:::/ i ヽ;::::ヽ`''::ーァ、`''ー-┴'"
        r'i:::/::::::/ .l   ';:::::::::::::::::!,」
        `ゝ、:::::/  l   ヽ;::::::::::/」    ,. -- 、
          └へ>、,_!_______,,..>ァニン!    /::::::::::。:',
            'r-- 'i    ̄ヽ,_ノ    ',.-。-、,ノ!
            ヽ二ノ           ヽ、.,___,ノ

Name: Anonymous 2013-08-31 19:57


Formally, assuming the axiom of choice, the cardinality of a set X is the least ordinal α such that there is a bijection between X and α. This definition is known as the von Neumann cardinal assignment. If the axiom of choice is not assumed we need to do something different. The oldest definition of the cardinality of a set X (implicit in Cantor and explicit in Frege and Principia Mathematica) is as the class [X] of all sets that are equinumerous with X. This does not work in ZFC or other related systems of axiomatic set theory because if X is non-empty, this collection is too large to be a set. In fact, for X ≠ ∅ there is an injection from the universe into [X] by mapping a set m to {m} × X and so by limitation of size, [X] is a proper class. The definition does work however in type theory and in New Foundations and related systems. However, if we restrict from this class to those equinumerous with X that have the least rank, then it will work (this is a trick due to Dana Scott: it works because the collection of objects with any given rank is a set).

Name: Anonymous 2013-08-31 20:42


In the Indian work on the theory of sets, two basic types of infinite numbers are distinguished. On both physical and ontological grounds, a distinction was made between asaṃkhyāta ("countless, innumerable") and ananta ("endless, unlimited"), between rigidly bounded and loosely bounded infinities.

Name: Anonymous 2013-08-31 20:57



わ からない事は上白沢先生に相談しよう
きっと答えてくれないが気休めにはなるぞ!

┌───────────────────────────
|質問:
└───────────────────────────
       iヽ、
     ____」____ゝ'´/':\ /|        ハクタクシステム Ver.1.00
     ヽ. _/___/___::\/        ____________________________________
      <Y---r二二二二ハ.フ.     |
       ,.L__:::::|::::i::::L-」::l::7>       | 質問の答え:
     /     ̄' 'ー---─' `ヽ.     |
    ./   ,.      ⌒ヽ.     ',     |
   ,'  / / ‐/- i:::::::::::i   `ヽ!.    |
    i   i  !/ア!-;!、ハ:::::::ハ-!、.i . i.   |
   |  ハ .! ! !__r! ' レ' ァ!‐;!、i i |   |
   |  i レ' ! "    ,   !.rハ/レ'ヽ!  <
   |  ! .|ハ、   、..__   "/:::| .|     l___________________________________
    | ./i  |::::!>、._  _,,.. イ .|::::| |  ,.、    __
   .| ./ !,..-|::::|'´/ヽ二ン`7ー、|:::|. | i !,,.-''" ノ
   |/ /  .|::::|〈 イ::::V:::::::::!〉:`i:::ト、! .! ヽ -=ニ__
  .!r〈_   !,ヘ!:::ヽヘハ::::;イノ:::::;ヽ! ヽ,!   !  ‐--,' 「`ヽ_/`i
  !.ゝr、__r、i::::::::::::/ ハ Y::::::::::i  r/ ヽ   ー,--'  ,'ゝ-^ー‐'´ヽ.
  !/  、/ヽ;::::::〈  ハ ',:::::;イ、_ /!   7`  ̄    L!_!ハ!_ハ_i.」 i
  .〈    ヽ、/:::::::::ヽ/Vヽ、〉::::! !`ー,ヽ-'       从゚ ー ゚く」 | |
  .レ\ ,.イ`ヽ:::::::::::::ハ::::::::::::ハ、 |ノ          }>!|,イ〒イヽ! |<{

Name: Anonymous 2013-08-31 21:27


In languages that do not have greatest and least elements, but do allow overloading of relational operators, it is possible for a programmer to create the greatest and least elements

Name: Anonymous 2013-08-31 22:12


Few full derivations of complex mathematical theorems from set theory have been formally verified, however, because such formal derivations are often much longer than the natural language proofs mathematicians commonly present. One verification project, Metamath, includes derivations of more than 10,000 theorems starting from the ZFC axioms and using first order logic.

Name: Anonymous 2013-08-31 22:22



        フ_  -‐ァ   ー┼‐  -─ァヽヽ -─ァヽヽ ー┼‐   「 ! 「 !
       ̄/          .ー┼‐  /     /    .(_|   .|/  |/
       `ー   `ー‐‐'  (_|`ヽ  `ー-    `ー-     ノ   O  O

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     \       ':,     ,. ''"´     `"' 、   /      //
      \        , '´   / ̄      r'oヽ_
               /     /      l   \ヽo)      /
          \  /   /  / /|  ,  /メ、    Y ヽ.  /
`'  、         ,'  ./  !/メ. |  //| _」,ハ    |  ハ
    `'  、      |  ,|   |.ァ'テ、|/ ァ'i´ノハ/|   ハ.  |
        `'  、 ! 八.  八 j_rリ    ゝ-゚' [`ヽ/ |  |
              ∨  \,ハxx   ' __  xxト-、ノ  /ヽ八
`"''   、...,,_        _/ 人   l7´ `ヽ/\)  /  .!  \,. -、!
       ヽ.ー--‐ ''"´ / /  ,>,、   _/`ヽノ-‐/   /ヽ. /  /
        _.> , '"´  | _ /  ]ア/   / / ./   ,ハ_/  /ヽ.
     , '"´   /     /´ | | ̄`7ヽ| / //./   `   'ー---‐、
    /    ,       _|_// / / |/  | |/   、_     _,,..ノ\
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Name: Anonymous 2013-08-31 22:58


The axiom of choice is avoided in some varieties of constructive mathematics, although there are varieties of constructive mathematics in which the axiom of choice is embraced.

Name: Anonymous 2013-08-31 23:43


Errett Bishop argued that the axiom of choice was constructively acceptable, saying


    "A choice function exists in constructive mathematics, because a choice is implied by the very meaning of existence."

Name: Anonymous 2013-08-31 23:48



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Name: Anonymous 2013-09-01 0:28


Every field has an algebraic closure.

Name: Anonymous 2013-09-01 1:13



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Name: Anonymous 2013-09-01 1:14




In fact, what we have done is define a category of categories and functors – the objects are categories, and the morphisms (between categories) are functors.

Name: Anonymous 2013-09-01 1:58


In 1942–45, Samuel Eilenberg and Saunders Mac Lane introduced categories, functors, and natural transformations as part of their work in topology, especially algebraic topology. Their work was an important part of the transition from intuitive and geometric homology to axiomatic homology theory. Eilenberg and Mac Lane later wrote that their goal was to understand natural transformations; in order to do that, functors had to be defined, which required categories.

Name: Anonymous 2013-09-01 2:38



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Name: Anonymous 2013-09-01 2:44


F(\mathrm{id}_X) = \mathrm{id}_{F(X)}\,\! for every object X \in C,

Don't change these.
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