The Collaborative International Dictionary of English v.0.48:

Implication \Im`pli*ca"tion\, n. [L. implicatio: cf. F.
   implication.]
   1. The act of implicating, or the state of being implicated.
      [1913 Webster]

            Three principal causes of firmness are. the
            grossness, the quiet contact, and the implication of
            component parts.                      --Boyle.
      [1913 Webster]

   2. An implying, or that which is implied, but not expressed;
      an inference, or something which may fairly be understood,
      though not expressed in words.
      [1913 Webster]

            Whatever things, therefore, it was asserted that the
            king might do, it was a necessary implication that
            there were other things which he could not do.
                                                  --Hallam.
      [1913 Webster]

WordNet (r) 3.0 (2006):

implication
    n 1: something that is inferred (deduced or entailed or
         implied); "his resignation had political implications"
         [syn: deduction, entailment, implication]
    2: a meaning that is not expressly stated but can be inferred;
       "the significance of his remark became clear only later";
       "the expectation was spread both by word and by implication"
       [syn: significance, import, implication]
    3: an accusation that brings into intimate and usually
       incriminating connection
    4: a logical relation between propositions p and q of the form
       `if p then q'; if p is true then q cannot be false [syn:
       implication, logical implication, conditional relation]
    5: a relation implicated by virtue of involvement or close
       connection (especially an incriminating involvement); "he was
       suspected of implication in several robberies"

Moby Thesaurus II by Grady Ward, 1.0:

180 Moby Thesaurus words for "implication":
   absorption, accusal, accusation, accusing, affective meaning,
   allegation, allegement, allegory, allusion, arcane meaning,
   arraignability, arraignableness, arraignment, assault, association,
   assumption, attack, bearing, bill of particulars, blame,
   blameworthiness, bloody hands, bringing of charges,
   bringing to book, broad hint, burden, censurability,
   censurableness, censure, charge, chargeability, citation, clue,
   coloration, coloring, complaint, complicity, conclusion,
   connection, connotation, consequence, count, criminality, cue,
   culpability, delation, denotation, denouncement, denunciation,
   dirty hands, drift, effect, embarrassment, engagement, enmeshment,
   entailment, entanglement, essence, extension, force, gentle hint,
   gesture, gist, glimmer, glimmering, grammatical meaning, guilt,
   guiltiness, guilty conscience, hint, idea, impact, impeachability,
   impeachableness, impeachment, implied meaning, import, impugnment,
   imputation, inclusion, incrimination, inculpation, index,
   indication, indictability, indictableness, indictment, inference,
   information, inkling, innuendo, insinuation, intension, intimation,
   involution, involvement, ironic suggestion, kick, lawsuit,
   laying of charges, lexical meaning, literal meaning, look, meaning,
   metaphorical sense, nod, nuance, nudge, occult meaning, onus,
   overtone, peccancy, pertinence, pith, plaint, point,
   practical consequence, presumption, presupposition, prompt,
   prosecution, purport, range of meaning, real meaning,
   red-handedness, reference, referent, relation, relevance,
   reprehensibility, reproach, reproachableness, reprovability,
   reprovableness, scent, scope, semantic cluster, semantic field,
   sense, sign, signal, significance, signification, significatum,
   signifie, span of meaning, spirit, spoor, structural meaning,
   subsense, subsidiary sense, substance, subsumption, suggestion,
   suit, sum, sum and substance, supposition, suspicion,
   symbolic meaning, symbolism, symptom, taxing, telltale, tenor,
   tinge, totality of associations, touch, track, transferred meaning,
   true bill, unadorned meaning, undercurrent, undermeaning,
   undertone, unspoken accusation, value, veiled accusation, whisper,
   wink



The Free On-line Dictionary of Computing (30 December 2018):

implies
implication
imply

    (=> or a thin right arrow) A binary Boolean function
   and logical connective.  A => B is a true implication unless
   A is true and B is false.  The truth table is

   	A B | A => B
   	----+-------
   	F F |   T
   	F T |   T
   	T F |   F
   	T T |   T

   It is surprising at first that A => B is always true if A is
   false, but if X => Y then we would expect that (X & Z) => Y
   for any Z.

   If A is actually an expression X & Y then the implication is
   called a syllogism.

   (2009-10-28)


Bouvier's Law Dictionary, Revised 6th Ed (1856):

IMPLICATION. An inference of something not directly declared, but arising
from what is admitted or expressed.
     2. It is a rule that when the law gives anything to a man, it gives him
by implication all that is necessary for its enjoyment. It is also a rule
that when a man accepts an office, he undertakes by implication to use it
according to law, and by non-user he may forfeit it. 2 B1. Com. 152.
     3. An estate in fee simple will pass by implication; 6 John.. R. 185;
IS John. R. 31; 2 Binn. R. 464, 532; such implication must not only be a
possible or probable one, but it must be plain and necessary that is, so
strong a probability of intention that an intention contrary to that imputed
to the testator cannot be supposed. 1 Ves. & B. 466; Willes, 141; 1 Ves. jr.
564; 14 John. R. 198. Vide, generally, Com. Dig. Estates by Devise, N 12,
13; 2 Rop. Leg. 342; 14 Vin. Ab. 341; 5 Ves. 805; 5 Ves. 582; 3 Ves. 676.