VERB (2)

1. be foolish or senile due to old age;

2. shower with love; show excessive affection for;
- Example: "Grandmother dotes on her the twins"

The Collaborative International Dictionary of English v.0.48:

Dote \Dote\, n. [See Dot dowry.]
   1. A marriage portion. [Obs.] See 1st Dot, n. --Wyatt.
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   2. pl. Natural endowments. [Obs.] --B. Jonson.
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The Collaborative International Dictionary of English v.0.48:

Dote \Dote\, v. i. [imp. & p. p. Doted; p. pr. & vb. n.
   Doting.] [OE. doten; akin to OD. doten, D. dutten, to doze,
   Icel. dotta to nod from sleep, MHG. t?zen to keep still: cf.
   F. doter, OF. radoter (to dote, rave, talk idly or
   senselessly), which are from the same source.] [Written also
   doat.]
   1. To act foolishly. [Obs.]
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            He wol make him doten anon right.     --Chaucer.
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   2. To be weak-minded, silly, or idiotic; to have the
      intellect impaired, especially by age, so that the mind
      wanders or wavers; to drivel.
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            Time has made you dote, and vainly tell
            Of arms imagined in your lonely cell. --Dryden.
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            He survived the use of his reason, grew infatuated,
            and doted long before he died.        --South.
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   3. To be excessively or foolishly fond; to love to excess; to
      be weakly affectionate; -- with on or upon; as, the mother
      dotes on her child.
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            Sing, siren, for thyself, and I will dote. --Shak.
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            What dust we dote on, when 't is man we love. --
                                                  Pope.
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The Collaborative International Dictionary of English v.0.48:

Dote \Dote\, n.
   An imbecile; a dotard. --Halliwell.
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WordNet (r) 3.0 (2006):

dote
    v 1: be foolish or senile due to old age
    2: shower with love; show excessive affection for; "Grandmother
       dotes on her the twins"