10 Responses to “1/0”

1. teju Says:
   November 24th, 2007 at 11:47 am, GMT -0800 ( 1195933645 )

   1. Georg Ferdinand Ludwig Philipp Cantor 2. One-to-One Correspondence Dedekind infinite.

2. piezocake Says:
   November 24th, 2007 at 10:23 pm, GMT -0800 ( 1195971822 )

   2 seems to be a bijective homomorphism and the great scientist in 1 was perhaps a homosexual. Also, how about adding a “Preview Comment” button so that I can see if the tags work ? ;)

3. sidsen Says:
   November 24th, 2007 at 11:24 pm, GMT -0800 ( 1195975466 )

   cantor and cantor’s paradox

4. VikraM Says:
   November 24th, 2007 at 11:36 pm, GMT -0800 ( 1195976167 )

   1.Georg Cantor….creator of set theory, first to invoke the one to one correspondence in sets. 2 depicts a bijective function.(one to one and onto)

5. sidsen Says:
   November 24th, 2007 at 11:38 pm, GMT -0800 ( 1195976299 )

   it is strange but reading up on georg cantor, i find that the second pic is off a bijective function, or permutation. however your heading clue happens to be 1 by 0 or infinity, which while applicable to bijection as well, is more closely associated with cantor’s paradox. Maybe i’m missing something

6. jayanth Says:
   November 25th, 2007 at 9:13 am, GMT -0800 ( 1196010834 )

   Georg Cantor , a bijective function..Cantor established the importance of one-to-one correspondence between sets, defined infinite and well-ordered sets, and proved that the real numbers are “more numerous” than the natural numbers.

7. nishas thambi Says:
   November 25th, 2007 at 9:18 am, GMT -0800 ( 1196011114 )

   Georg Cantor, bijunctive function.. Cantor’s 1874 Crelle paper was the first to invoke the notion of a 1-to-1 correspondence, though he did not use that phrase. He then began looking for a 1-to-1 correspondence between the points of the unit square and the points of a unit line segment. In an 1877 letter to Dedekind, Cantor proved a far stronger result: for any positive integer n, there exists a 1-to-1 correspondence between the points on the unit line segment and all of the points in an n-dimensional space. About this discovery Cantor famously wrote to Dedekind: “Je le vois, mais je ne le crois pas!” (”I see it, but I don’t believe it!”) The result that he found so astonishing has implications for geometry and the notion of dimension.

8. nishas thambi Says:
   November 25th, 2007 at 9:19 am, GMT -0800 ( 1196011169 )

   Georg Cantor, bijunctive function.. Cantor’s 1874 Crelle paper was the first to invoke the notion of a 1-to-1 correspondence, though he did not use that phrase. He then began looking for a 1-to-1 correspondence between the points of the unit square and the points of a unit line segment. In an 1877 letter to Dedekind, Cantor proved a far stronger result: for any positive integer n, there exists a 1-to-1 correspondence between the points on the unit line segment and all of the points in an n-dimensional space. About this discovery Cantor famously wrote to Dedekind: “Je le vois, mais je ne le crois pas!” (”I see it, but I don’t believe it!”) The result that he found so astonishing has implications for geometry and the notion of dimension.

9. nishas thambi Says:
   November 25th, 2007 at 9:23 am, GMT -0800 ( 1196011395 )

   Georg Cantor, bijunctive function/relation… Cantor’s 1874 Crelle paper was the first to invoke the notion of a 1-to-1 correspondence, though he did not use that phrase.

10. udupendra Says:
    November 25th, 2007 at 9:36 am, GMT -0800 ( 1196012178 )

    1. Georg Cantor 2. Bijection (1-to-1) The conecpt of 1-to-1 functions was one of Cantor’s many contributions to set theory

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