## November 24, 2007

### 1/0

This question is based on a suggestion from Anirudh Deshpande. Thanks a lot dude!

2.

Identify and connect.

Cracked by: teju , sidsen , VikraM , jayanth, Nishas thambi and udupendra.

@piezocake: what!?

Answer:

1. Georg Cantor

2. 1-1 Relation (function)

I will quote jayanth’s answer for details

“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.”

1. Georg Ferdinand Ludwig Philipp Cantor

2. One-to-One Correspondence

Dedekind infinite.

2 seems to be a bijective

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

cantor and cantor’s paradox

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)

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

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.

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.

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.

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.

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