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Definition of inference : 1. That which inferred; a truth or proposition drawn from another which is admitted or supposed to be true; a conclusion; a deduction.
2. The act or process of inferring by deduction or induction.

Synonyms:

feeling, demonstration, eduction, certainty, evidence, result, answer, viewpoint, illation, attitude, view, judgment, stand, self-assessment, concentration, proof, surmise, summation, soul-searching, focus, reputation, reflection, stance, reasoning, sequitur, introspection, impression, consequence, illative, forethought

enumeration, statistics, calculation, evaluation, thought, approximation, value, conclusion, judgement, mathematics, tally, estimation, account, supposition, presumption, consideration, rank, assessment, arithmetic, method, computation, schedule, appraisal, program, study, plot, division, system, calculus, quantification, score, guess, algorithm, gauge, multiplication, sum, count, plan, reckoning, valuation, deduction, triangulation, determination, algebra, scheme, measurement, total

position, principle, argument, problem, paradigm, theorem, hypothesis, essay, axiom, issue, postulation, idea, motif, opinion, text, statement, matter, conjecture, topic, thesis, exposition, assertion, theme, assumption, belief, basis, subject, point, question, dissertation, contention, premise, concept, query

conceptualization, analysis, reason, induction, logic, synthesis, brain work, cogitation, thinking

Usage examples:

• The inference that Kemp had been inside the house was irresistible. - "The Hampstead Mystery", John R. Watson.
• It is only by inference that the fire is judged to be the cause of the heat which we feel in our body. - "Mysticism and Logic and Other Essays", Bertrand Russell.
• It was but a reasonable inference to say No. These invisible thoughts and aspirations have also a future- a destiny in a, to us, still invisible world- in the Life of the Spirit. - "The Prodigal Returns", Lilian Staveley.