4 ms·

i'm sorry i don't quite follow (even though i'm pretty keen on etymology in general and etymological origins of mathematical objects in particular). you say th

i'm sorry i don't quite follow (even though i'm pretty keen on etymology in general and etymological origins of mathematical objects in particular). you say that >Think of -head as in "Godhead", not as in "Brotherhood" and >Translating "Mannigfaltigkeit" as "Manifoldness" seems equal to mistranslating "Geheimnis" as "Secrethood" and "Geheimheit" as "Secretness", but https://www.etymonline.com/word/-head#etymonline_v_50781 https://www.etymonline.com/word/-head#etymonline_v_50781 indicates to me that -ness is exactly the correct translation of Mannigfaltigkeit, since in the instance of godhead a accurate synonym would be godliness (and in the instance maidenhead maybe maidenly). regardless in english manifold already exists as an adjective and probably a good translation of the original german (if i'm to understand you correctly) would be to simply describe a space as manifold rather than a manifold.

no_identd 8y ago
>indicates to me that -ness is exactly the correct translation of Mannigfaltigkeit, since in the instance of godhead a accurate synonym would be godliness (and in the instance maidenhead maybe maidenly). Strictly speaking, if one entertains the distinction involved here, "Godhead", as a noun, serves as a hypernym to "God" and "Goddess"; and "Godheads" as a hypernym to "Gods" and "Goddesses", which neither "godness", "godessness", "godliness" nor "godessliness" do. This makes sense, as "Heit" used to function (and in some very rare German dialects supposedly still does) as a separate noun, unlike "-nis" and "-ness". Does that help make the distinction between the two suffixes clearer? (Note: You left open the matter of -ig and -y.) >would be to simply describe a space as manifold rather than a manifold Correct, you got that right, however, I think that talking about spaces in this way doesn't so much serve as a substitutive translation but as a consequence of the distinction involved - coming hand in hand, basically.
- mlevental 8y ago
  i don't speak german at all (outside of what i've been exposed to in the sciences (ansatz, eigen, etc.) so the nuanced distinction is not clear to me (albeit i can take it on faith visavis your translation to english) but i'll say that i appreciate your bit about rings and varieties (names of objects whose relationship to the objects i've always been curious about - in the case of algebraic ring i always assumed it had something to do with closure). thank you.

no_identd 8y ago

>indicates to me that -ness is exactly the correct translation of Mannigfaltigkeit, since in the instance of godhead a accurate synonym would be godliness (and in the instance maidenhead maybe maidenly). Strictly speaking, if one entertains the distinction involved here, "Godhead", as a noun, serves as a hypernym to "God" and "Goddess"; and "Godheads" as a hypernym to "Gods" and "Goddesses", which neither "godness", "godessness", "godliness" nor "godessliness" do. This makes sense, as "Heit" used to function (and in some very rare German dialects supposedly still does) as a separate noun, unlike "-nis" and "-ness". Does that help make the distinction between the two suffixes clearer? (Note: You left open the matter of -ig and -y.) >would be to simply describe a space as manifold rather than a manifold Correct, you got that right, however, I think that talking about spaces in this way doesn't so much serve as a substitutive translation but as a consequence of the distinction involved - coming hand in hand, basically.

mlevental 8y ago
i don't speak german at all (outside of what i've been exposed to in the sciences (ansatz, eigen, etc.) so the nuanced distinction is not clear to me (albeit i can take it on faith visavis your translation to english) but i'll say that i appreciate your bit about rings and varieties (names of objects whose relationship to the objects i've always been curious about - in the case of algebraic ring i always assumed it had something to do with closure). thank you.