The Collaborative International Dictionary of English v.0.48:

Any \A"ny\, a. & pron. [OE. [ae]ni[yogh], [ae]ni, eni, ani, oni,
   AS. [=ae]nig, fr. [=a]n one. It is akin to OS. [=e]nig, OHG.
   einic, G. einig, D. eenig. See One.]
   1. One indifferently, out of an indefinite number; one
      indefinitely, whosoever or whatsoever it may be.
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   Note: Any is often used in denying or asserting without
         limitation; as, this thing ought not be done at any
         time; I ask any one to answer my question.
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               No man knoweth the Son, but the Father; neither
               knoweth any man the Father, save the Son. --Matt.
                                                  xi. 27.
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   2. Some, of whatever kind, quantity, or number; as, are there
      any witnesses present? are there any other houses like it?
      "Who will show us any good?" --Ps. iv. 6.
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   Note: It is often used, either in the singular or the plural,
         as a pronoun, the person or thing being understood;
         anybody; anyone; (pl.) any persons.
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               If any of you lack wisdom, let him ask of God, .
               . . and it shall be given him.     --Jas. i. 5.
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               That if he found any of this way, whether they
               were men or women, he might bring them bound unto
               Jerusalem.                         --Acts ix. 2.
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   At any rate, In any case, whatever may be the state of
      affairs; anyhow.
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WordNet (r) 3.0 (2006):

at any rate
    adv 1: used to indicate that a statement explains or supports a
           previous statement; "Anyhow, he is dead now"; "I think
           they're asleep; anyhow, they're quiet"; "I don't know
           what happened to it; anyway, it's gone"; "anyway, there
           is another factor to consider"; "I don't know how it
           started; in any case, there was a brief scuffle"; "in any
           event, the government faced a serious protest"; "but at
           any rate he got a knighthood for it" [syn: anyhow,
           anyway, anyways, in any case, at any rate, in
           any event]
    2: if nothing else (`leastwise' is informal and `leastways' is
       colloquial); "at least he survived"; "they felt--at any rate
       Jim felt--relieved though still wary"; "the influence of
       economists--or at any rate of economics--is far-reaching"
       [syn: at least, leastways, leastwise, at any rate]

Moby Thesaurus II by Grady Ward, 1.0:

99 Moby Thesaurus words for "at any rate":
   absolutely, after a fashion, after all, again, albeit,
   all the same, although, and no mistake, anyhow, anyway, anywise,
   appreciably, assuredly, at all, at all events, at best, at least,
   at most, at the least, at the most, at the outside, at worst, but,
   by all means, by any means, certainly, clearly, comparatively,
   decidedly, decisively, definitely, detectably, distinctly, even,
   even so, fairly, for a certainty, for a fact, for all that,
   for certain, for sure, forsooth, howbeit, however, in a manner,
   in a way, in any case, in any event, in any way, in part,
   in some measure, in truth, incompletely, indeed, indeedy,
   irregardless, just the same, leastwise, merely, mildly, moderately,
   modestly, most assuredly, most certainly, nevertheless, nohow,
   nonetheless, not comprehensively, not exhaustively,
   nothing else but, notwithstanding, of course, only, part,
   partially, partly, positively, pro tanto, purely, rather,
   regardless, relatively, simply, so far, somewhat, still, surely,
   though, thus far, to a certainty, to a degree, to some degree,
   tolerably, truly, unequivocally, unmistakably, visibly, when,
   yet