Ring, field, injection, surjection, bijection,

AI Thread Summary
The discussion centers on the origins and meanings of mathematical terms such as ring, field, injection, surjection, and bijection. Participants explore the historical context of these terms, noting that "field" is derived from the German "Körper" and "ring" from the French "anneau." The conversation also highlights that the various types of injections are French transliterations. There is an emphasis on understanding the properties of these mathematical structures in relation to real-world concepts, similar to how natural numbers correspond to tangible quantities. Overall, the thread seeks to clarify the connections between mathematical terminology and their real-world associations.
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Ring, field, injection, surjection, bijection, jet, bundle.
Does anybody know who first introduced those terms and when and why those people called these matimatical structures so. I mean not the definitions but the properties of real things which can be accosiated with those mathematical structures terms.
For example, 'nutural number' is number which can be associate with the real things in the nuture, e.g. 1,2,3... Number 0 is not nutural, because nobody see zero thing, and the negative number too.
 
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field seems to be a translation from the german of korper, and ring is pesumably also a transl;ation of something like anneau from french, or a german version.

the various jections are french transliterations.
 

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