“The space that we're looking through is nine-dimensional. If you build a mathematical model, the amount of searching that we've done in 50 years is equivalent to scooping one 8-ounce glass out of the Earth's ocean, looking and seeing if you caught a fish. No, no fish in that glass? Well, I don't think you're going to conclude that there are no fish in the ocean. You just haven't searched very well yet. That's where we are.” IfsThinkingYearsWellsDoneEarthSpaceSeeingHavensAmountOceanModelsGlassesCaughtFishesNineMathematicalMathematical Models Author:Jill Tarter
“If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming.” IfsMayUseActionModelsMethodStructureObjectivesAlternativesMathematicalProgrammingSchedulesExhibitsMathematical Models Book:Linear Programming and Extensions Source: Linear Programming and Extensions
“The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing?” ShouldDoeFaithUniverseAnswersApproachModelsMathematicalBotherUsualMathematical Models Author:Stephen Hawking
“The good news is that, at least in economics, I've seen movement away from its overemphasis on mathematical models of purely rational behavior to a more eclectic and commonsense approach: research that is, among other things, more respectful of insights from psychology.” PsychologyMovementBehaviorApproachNewsModelsResearchEconomicsInsightRationalMathematicalGood NewsRespectfulEclecticMathematical Models Author:Robert J. Shiller
“Is war an inevitable outcome of competing interests in a complex society? In other words, would war be the same even if human nature were very different? There are mathematical models of large groups working together that lead to conflict on a reliable basis. So there's a whole other view of war that is not psychological at all.” IfsHumansDifferentWarWholeTogetherInterestViewsGroupsHuman NatureConflictModelsBasesComplexesPsychologicalMathematicalInevitableOutcomesWorking TogetherCompetingLarge GroupsMathematical Models Author:Jaron Lanier
“As a graduate student, I wrote a long paper connecting the dots between mathematical models of learning and language development in children. It was published in a major journal.” ChildrenLongLanguageStudentsDevelopmentPaperMajorsModelsMathematicalGraduatesJournalConnectingDotsGraduate StudentsConnecting The DotsMathematical ModelsLanguage Development Author:Steven Pinker