mathematicians
Proof-writing academics
Mathematicians are people who study or work professionally in mathematics—the abstract science of number, quantity, and space.
The term covers both researchers advancing mathematical knowledge and those applying it in fields like physics, engineering, or finance: The mathematicians proved the theorem after years of work.
She's a mathematician at a hedge fund.
Demonstrated logical conclusion
- lemmaBase form, or helper theorem
- corollaryLogical natural consequence
- conjectureGuess from limited facts
- axiomSelf-evident starting principle
postulate · demonstration · derivation · verification · QED · Euclid · rigor · elegance
Study of spatial arrangement
- manifoldMany and various
- infinityUnlimited extent or quantity
- symmetryInvariance under transformation
- setArrange in position
group · vector · matrix · function · variable · differential · integral · algebra
Conclusion from premises
- inductionFormal admission process
- inferenceConclusion reached through reasoning
- propositionStatement expressing a judgment
- predicateSentence's non-subject portion
quantifier · implication · contradiction · tautology · validity · consistency · syllogism · fallacy
Finite problem-solving procedure
- computationMathematical processing work
- recursionProcess invoking itself
- iterationRepeated procedural pass
- complexityState of being complicated
optimization · numerical · approximation · simulation · programming · cryptography · encoding · heuristic
Guess from limited facts
- paradoxSeemingly absurd truth
- enigmaSomething hard to fathom
- problemMatter requiring resolution
- challengeTest of ability
Millennium · Fermat · unsolved · brainteaser · recreational · elegant · solution · insight
Mathematics of basic operations
- primeReadying for action
- compositeMade of distinct parts
- factorialDescending multiplication of integers
- piCircle's fundamental ratio
irrational · rational · integer · real · complex · imaginary · numerator · denominator
Testable proposed explanation
- frameworkUnderlying support system
- modelRepresentation or paradigm
- paradigmGoverning framework of thought
- formulationDevised mixture or expression
principle · system · foundation · incompleteness · chaos · game · number · set
theorem
Demonstrated logical conclusion
- lemmaBase form, or helper theorem
- corollaryLogical natural consequence
- conjectureGuess from limited facts
axiom · postulate · demonstration · derivation · verification · QED · Euclid · rigor · elegance · counterexample
topology
Study of spatial arrangement
set · group · vector · matrix · function · variable · differential · integral · algebra · geometry
deduction
Conclusion from premises
- inductionFormal admission process
- inferenceConclusion reached through reasoning
- propositionStatement expressing a judgment
predicate · quantifier · implication · contradiction · tautology · validity · consistency · syllogism · fallacy · reasoning
algorithm
Finite problem-solving procedure
- computationMathematical processing work
- recursionProcess invoking itself
- iterationRepeated procedural pass
complexity · optimization · numerical · approximation · simulation · programming · cryptography · encoding · heuristic · combinatorics
conjecture
Guess from limited facts
challenge · Millennium · Fermat · unsolved · brainteaser · recreational · elegant · solution · insight · eureka
arithmetic
Mathematics of basic operations
- primeReadying for action
- compositeMade of distinct parts
- factorialDescending multiplication of integers
pi · irrational · rational · integer · real · complex · imaginary · numerator · denominator · fraction
hypothesis
Testable proposed explanation
- frameworkUnderlying support system
- modelRepresentation or paradigm
- paradigmGoverning framework of thought
formulation · principle · system · foundation · incompleteness · chaos · game · number · set · graph
- math peoplemathletes, professors, researchers, grad students, postdocs
- codebreakerscodebreaker, codebreakers, cryptanalysts, decoders, cryptanalyst
- finance prosfinancial analysts, investment bankers, stockbrokers, stock brokers, traders
- Jewish livesrabbis, survivors, Jewish scholars, Jewish women, cantors
- Human ComputersKatherine Johnson, Mary Jackson
- teachersteacher, tutor, tutors, instructor, instructors
mathematiciansmanual laborers
Workers using physical effort
laborers · construction workers · factory workers · craftsmen · tradespeople
mathematicianspractitioners
People who perform a discipline
technicians · implementers · engineers · calculators · doers
- Greek mathematicianAncient thinker with theorems
- British mathematicianNumbers scholar from Britain
- French mathematicianNumbers expert from France