Conversation so far:
What is one-to-one correspondence?
Georg Cantor proved for any positive integer n, there exists a 1-to-1 correspondence between the points on the unit line segment and the points in an n-dimensional space.
What year was Georg Cantor doing his work on 1-1 correspondence?
In 1874, Georg Cantor's Crelle paper revealed his beginning work on his notion of a 1-to-1 correspondence.
What is Crelle's Journal?
Crelle's Journal, or just Crelle, is the common name for a mathematics journal, the Journal für die reine und angewandte Mathematik.
How was Georg Cantor's paper accepted?
The objections to Georg Cantor's work were occasionally fierce: Leopold Kronecker's public opposition and personal attacks included describing Cantor as a scientific charlatan, a renegade and a corrupter of youth.
Why did Georg Cantor's paper displease Kronecker?
Kronecker objected to Georg Cantor's proofs that the algebraic numbers are countable, and that the transcendental numbers are uncountable, results now included in a standard mathematics curriculum.
Did Georg Cantor work with any other collegues during the time of his 1-1 correspondence?
Georg Cantor spent much time in mathematical discussions with Richard Dedekind, whom he had met two years earlier while on Swiss holiday.

Question: How did Dedekind accept this new result?
Self-contained rewrite: How did Dedekind accept the Georg Cantor's notion of a 1-to-1 correspondence?