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I believe Kronecker, along with Weierstrass, was Edmund Husserl's chief teacher in mathematics (as mentioned in the Husserl article). Is this fact worth mentioning here anywhere, or is it too off-topic? (I dont know what other well-known students Kronecker might have had.) — rodii 03:26, 1 February 2006 (UTC)
The following infobox has been removed from the article. Pls discuss reasons for or against inclusion to reach consensus. SuperGirl 23:08, 18 November 2006 (UTC)
Keep I find this info very useful as summarised in the infobox. It us now pretty much standard for scientific biographies. SureFire 04:05, 26 December 2006 (UTC)
Keep. It is much more informative. Consensus here is to reinstate. I have put it back. bunix 10:47, 13 January 2007 (UTC)
I think that infoboxes like the one in this article generally should not have flags because the flags do not contain any information and put an emphasis on information that is not important; also see Wikipedia:Manual of Style (flags). This is even more pertinent where the flag will not be recognized by many people (I have no proof for this, but I feel I'm well justified in making this assumption). That's why I think the flags should be removed. Discuss.
To make the situation more complicated, Prussia became part of the German Empire during Kronecker's life, so perhaps his nationality changed at that time. -- Jitse Niesen ( talk) 15:05, 16 December 2007 (UTC)
It might be desirable to clarify the statement "Kronecker solved the quintic equation" so that it does not appear to be in conflict with the Abel-Ruffini theorem, which is often remembered as saying that "the quintic is unsolvable". Abel's theorem says that the general quintic equation cannot be solved in terms of radicals, whereas Kronecker (according to Mathworld) did obtain a formula for the solution of a general quintic, but it is not in terms of radicals. 208.127.218.127 ( talk) 06:22, 22 December 2008 (UTC)
What is this supposed to be? "---Intermezo-- There are now also people who are like finitism Because we can't walk an infinite route. ---End intermezo---" — Preceding unsigned comment added by 95.209.254.196 ( talk) 21:31, 1 November 2011 (UTC)
I'm surprised that there's nothing about Kronecker's work in group theory here (or at least a reference to the relevant articles. Kronecker's work was fundamental to that area (see, for example, Fulton and Harris). Rwilsker ( talk) 19:07, 31 March 2010 (UTC)
Did Kronecker espouse finitism (as opposed to constructivism)? Does anyone have a source for this? Tkuvho ( talk) 15:16, 18 April 2012 (UTC)
Kronecker's wife's death is variously said to have been caused by a skiing accident and a climbing one. — Preceding unsigned comment added by 88.150.234.8 ( talk) 11:25, 26 June 2014 (UTC)
While researching the Kronecker quote re integers, I found the German original in an obituary by Weber. The article already has a partial reference to Weber's obituary, but it appears to have an incorrect date (1893 instead of 1891-2), and the link is a redirect to the one I added in a footnote. The 1893 reference could probably be removed as redundant. -- 192.183.212.185 ( talk) 01:35, 5 October 2014 (UTC)
The comments in the article about the Kronecker quote re the integers were removed in this edit:
'[Kronecker] was quoted by Weber (1893) as having said, "Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk" (traditionally rendered: "God made natural numbers; all else is the work of man"; he says Zahlen, not natürlichen Zahlen, but Zahlen, like the English word "numbers", can be interpreted as meaning integers).'
For the record, "ganzen Zahlen" means "integers".
-- 192.183.212.185 ( talk) 02:15, 5 October 2014 (UTC)
In colloquial English: "In the mind of God is accounted the whole of mathematics, but it is left to "our fellows" to understand." — Preceding unsigned comment added by 66.87.115.61 ( talk) 03:16, 6 May 2016 (UTC)
Several more possible translations:
In God's mind is accounted the whole of mathematics, Together man's purpose is to fulfill the work of creation.
The whole of mathematics our Dear Lord God has made, Together man's purpose is to fulfill the work of creation. — Preceding unsigned comment added by 2602:304:B17C:4550:41E5:FA3D:FE38:66E2 ( talk) 09:45, 7 May 2016 (UTC)
Its also a reference to Genesis, "In the beginning God created the heavens and the earth." And, God created man, and "Be fruitful and increase in number, fill the earth, ..." — Preceding unsigned comment added by 2602:304:B17C:4550:BC91:D150:F63C:2BBE ( talk) 19:03, 6 May 2016 (UTC)
Also, "numbers" is a reference to the Biblical book of Numbers. I think the reference means, they were about to enter the promised land (as we understand it). — Preceding unsigned comment added by 2602:304:B17C:4550:BC91:D150:F63C:2BBE ( talk) 19:09, 6 May 2016 (UTC)
There are at least four levels of interpretation: 1) literal, 2) deep meaning, 3) comparative meaning (via similar quotes), 4) secret or esoteric meaning. Usually, this is in the context of the author of quote. — Preceding unsigned comment added by 2602:304:B17C:4550:BC91:D150:F63C:2BBE ( talk) 19:14, 6 May 2016 (UTC)
Kronecker was a German and a businessman, well educated, and familiar with biblical topics. — Preceding unsigned comment added by 2602:304:B17C:4550:BC91:D150:F63C:2BBE ( talk) 19:19, 6 May 2016 (UTC)
Remember that these quotes are in the context of the 19th century German scientific community, and can be interpreted as a conversation among German intellectuals. They can be interpreted on several levels and reveal the thinking of the community at the time. The 19th century was really a time of understanding and constructing the tools that would make possible the amazing developments of the 20th century. Only a partial picture of what we see today was available then. What one might view, is an immense scaffolding that still had to be filled in by later learning in physics and mathematics. — Preceding unsigned comment added by 66.87.115.61 ( talk) 03:30, 6 May 2016 (UTC)
Manche von Ihnen werden sich des Ausspruchs erinnern, den er in einem Vortrag bei der Berliner Naturforscher-Versammlung im Jahre 1886 that: "Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk".
This
level-5 vital article is rated C-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
|
I believe Kronecker, along with Weierstrass, was Edmund Husserl's chief teacher in mathematics (as mentioned in the Husserl article). Is this fact worth mentioning here anywhere, or is it too off-topic? (I dont know what other well-known students Kronecker might have had.) — rodii 03:26, 1 February 2006 (UTC)
The following infobox has been removed from the article. Pls discuss reasons for or against inclusion to reach consensus. SuperGirl 23:08, 18 November 2006 (UTC)
Keep I find this info very useful as summarised in the infobox. It us now pretty much standard for scientific biographies. SureFire 04:05, 26 December 2006 (UTC)
Keep. It is much more informative. Consensus here is to reinstate. I have put it back. bunix 10:47, 13 January 2007 (UTC)
I think that infoboxes like the one in this article generally should not have flags because the flags do not contain any information and put an emphasis on information that is not important; also see Wikipedia:Manual of Style (flags). This is even more pertinent where the flag will not be recognized by many people (I have no proof for this, but I feel I'm well justified in making this assumption). That's why I think the flags should be removed. Discuss.
To make the situation more complicated, Prussia became part of the German Empire during Kronecker's life, so perhaps his nationality changed at that time. -- Jitse Niesen ( talk) 15:05, 16 December 2007 (UTC)
It might be desirable to clarify the statement "Kronecker solved the quintic equation" so that it does not appear to be in conflict with the Abel-Ruffini theorem, which is often remembered as saying that "the quintic is unsolvable". Abel's theorem says that the general quintic equation cannot be solved in terms of radicals, whereas Kronecker (according to Mathworld) did obtain a formula for the solution of a general quintic, but it is not in terms of radicals. 208.127.218.127 ( talk) 06:22, 22 December 2008 (UTC)
What is this supposed to be? "---Intermezo-- There are now also people who are like finitism Because we can't walk an infinite route. ---End intermezo---" — Preceding unsigned comment added by 95.209.254.196 ( talk) 21:31, 1 November 2011 (UTC)
I'm surprised that there's nothing about Kronecker's work in group theory here (or at least a reference to the relevant articles. Kronecker's work was fundamental to that area (see, for example, Fulton and Harris). Rwilsker ( talk) 19:07, 31 March 2010 (UTC)
Did Kronecker espouse finitism (as opposed to constructivism)? Does anyone have a source for this? Tkuvho ( talk) 15:16, 18 April 2012 (UTC)
Kronecker's wife's death is variously said to have been caused by a skiing accident and a climbing one. — Preceding unsigned comment added by 88.150.234.8 ( talk) 11:25, 26 June 2014 (UTC)
While researching the Kronecker quote re integers, I found the German original in an obituary by Weber. The article already has a partial reference to Weber's obituary, but it appears to have an incorrect date (1893 instead of 1891-2), and the link is a redirect to the one I added in a footnote. The 1893 reference could probably be removed as redundant. -- 192.183.212.185 ( talk) 01:35, 5 October 2014 (UTC)
The comments in the article about the Kronecker quote re the integers were removed in this edit:
'[Kronecker] was quoted by Weber (1893) as having said, "Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk" (traditionally rendered: "God made natural numbers; all else is the work of man"; he says Zahlen, not natürlichen Zahlen, but Zahlen, like the English word "numbers", can be interpreted as meaning integers).'
For the record, "ganzen Zahlen" means "integers".
-- 192.183.212.185 ( talk) 02:15, 5 October 2014 (UTC)
In colloquial English: "In the mind of God is accounted the whole of mathematics, but it is left to "our fellows" to understand." — Preceding unsigned comment added by 66.87.115.61 ( talk) 03:16, 6 May 2016 (UTC)
Several more possible translations:
In God's mind is accounted the whole of mathematics, Together man's purpose is to fulfill the work of creation.
The whole of mathematics our Dear Lord God has made, Together man's purpose is to fulfill the work of creation. — Preceding unsigned comment added by 2602:304:B17C:4550:41E5:FA3D:FE38:66E2 ( talk) 09:45, 7 May 2016 (UTC)
Its also a reference to Genesis, "In the beginning God created the heavens and the earth." And, God created man, and "Be fruitful and increase in number, fill the earth, ..." — Preceding unsigned comment added by 2602:304:B17C:4550:BC91:D150:F63C:2BBE ( talk) 19:03, 6 May 2016 (UTC)
Also, "numbers" is a reference to the Biblical book of Numbers. I think the reference means, they were about to enter the promised land (as we understand it). — Preceding unsigned comment added by 2602:304:B17C:4550:BC91:D150:F63C:2BBE ( talk) 19:09, 6 May 2016 (UTC)
There are at least four levels of interpretation: 1) literal, 2) deep meaning, 3) comparative meaning (via similar quotes), 4) secret or esoteric meaning. Usually, this is in the context of the author of quote. — Preceding unsigned comment added by 2602:304:B17C:4550:BC91:D150:F63C:2BBE ( talk) 19:14, 6 May 2016 (UTC)
Kronecker was a German and a businessman, well educated, and familiar with biblical topics. — Preceding unsigned comment added by 2602:304:B17C:4550:BC91:D150:F63C:2BBE ( talk) 19:19, 6 May 2016 (UTC)
Remember that these quotes are in the context of the 19th century German scientific community, and can be interpreted as a conversation among German intellectuals. They can be interpreted on several levels and reveal the thinking of the community at the time. The 19th century was really a time of understanding and constructing the tools that would make possible the amazing developments of the 20th century. Only a partial picture of what we see today was available then. What one might view, is an immense scaffolding that still had to be filled in by later learning in physics and mathematics. — Preceding unsigned comment added by 66.87.115.61 ( talk) 03:30, 6 May 2016 (UTC)
Manche von Ihnen werden sich des Ausspruchs erinnern, den er in einem Vortrag bei der Berliner Naturforscher-Versammlung im Jahre 1886 that: "Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk".