Timeline for Repeat "let" and/or "be"? Example: Let A be a line and (let?) B (be?) a plane
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Nov 15, 2015 at 19:55 | comment | added | Alex K | @skew41 For a slightly better explanation, in English, we basically write out what is said in the mind. In this case, I'll stand by "let x be 27, y be 30, and z be 2" as the way that this is typically read, both at high school and university levels. Therefore, we write it out this way. | |
Nov 15, 2015 at 10:31 | comment | added | skew41 | @DamkerngT. Are the authors of the books you are citing native English speakers? The second reference is written by two mathematicians working in France. I do not know if they are native English speakers. In French I think one would write "Soit A une droite et (soit) B un plan" if I am not mistaken. So there is no analogue of the "be" there. I do not know if Fremlin is a native English speaker. I am asking this question here, because I am mainly hoping for an answer with an explanation rather than examples of the use (but I do appreciate your references). | |
Nov 15, 2015 at 0:48 | comment | added | Alex K | @DamkerngT. ah. I see what you're talking about. Yes, "___ a _____" does seem to be a valid construction. I think that works for typecasting, but I don't think that would work for values. "Let x be 27, y a 30, and z a 2." Or maybe it does. Either way, nice find | |
Nov 14, 2015 at 22:47 | comment | added | Damkerng T. | I couldn't find that ELL question, even though I'm pretty sure we have it! :-( However, I found a couple examples in Google Books: (e) (i) Let X be a group, Y a subgroup of X and h : Y --> C a positive definite function; 12.5.8 Corollary. Let X be a variety, Y a prevariety, Z a subset of Y and u, v be morphisms from Y to X such that u(y) - v(y) for all y <element-of-symbol> Z | |
Nov 14, 2015 at 22:30 | comment | added | Alex K | @DamkerngT. Interesting. Sure, definitely link me to it. I haver never thought of it that way, nor have I heard any teacher or professor read it that way. | |
Nov 14, 2015 at 22:21 | comment | added | Damkerng T. | I'd argue that we don't really need any other be but the first. In fact, I always read "Let x = 27, y = 30, and z = 2" aloud as "Let x be 27, y 30, and z 2. I remember that we have a similar ELL question related to this kind of ellipsis. I'll add a link to the question if I can find it. | |
Nov 14, 2015 at 21:19 | history | edited | user230 | CC BY-SA 3.0 |
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Nov 14, 2015 at 19:37 | history | answered | Alex K | CC BY-SA 3.0 |