“Whether game theory leads to clear-cut solutions, to vague solutions, or to impasses, it does achieve one thing. In bringing techniques of logical and mathematical analysis gives men an opportunity to bring conflicts up from the level of fights, where the intellect is beclouded by passions, to the level of games, where the intellect has a chance to operate.” MenGivingDoeFightingPassionOpportunityGamesChanceLevelsClearCuttingOne ThingAchieveTheoryConflictSolutionsIntellectTechniqueMathematicalAnalysisLogicalVagueImpasseMathematical Analysis Author:Anatol Rapoport
“I am fully assured, that no general method for the solution of questions in the theory of probabilities can be established which does not explicitly recognize, not only the special numerical bases of the science, but also those universal laws of thought which are the basis of all reasoning, and which, whatever they may be as to their essence, are at least mathematical as to their form.” MayDoeFormLawSpecialTheorySolutionsEssenceUniversalBasesMethodMathematicalReasoningProbabilityAssuredUniversal Laws Book:Collected Logical Works Source: Collected Logical Works
“It seems, in theory, that I should be able to control at least a few of my bad habits. The problem is that my habits make me depressed, and the depression makes me want to indulge my habits and so I do. There isn't any solution to this.” WantShouldProblemSeemsAbleTheoryHabitSolutionsIndulgeBad Habits Author:John S. Hall
“A proven theorem of game theory states that every game with complete information possesses a saddle point and therefore a solution.” StatesGamesInformationTheorySolutionsProvenTheoremsSaddles Author:Richard Arnold Epstein
“The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the impossibility of it. However, if I am not mistaken, they have not as yet succeeded. I therefore dare hope that the mathematicians will receive this memoir with good will, for its purpose is to fill this gap in the theory of algebraic equations.” IfsHas BeensPurposeTheoryProveFindingsSolutionsDareMemoirGapsMathematicianMistakenEquationsImpossibilityGood Will Author:Niels Henrik Abel
“The first step toward the management of disease was replacement of demon theories and humours theories by the germ theory. That very step, the beginning of hope, in itself dashed all hopes of magical solutions. It told workers that progress would be made stepwise, at great effort, and that a persistent, unremitting care would have to be paid to a discipline of cleanliness. So it is with software engineering today.” FirstsMadeWould BeCareTodayEffortStepsProgressHumourTheoryDisciplineDiseaseSolutionsPaidManagementWorkersDemonSoftwareEngineeringFirst StepsPersistentCleanlinessGermsReplacementsSoftware EngineeringGreat Effort Author:Fred Brooks
“Precisely constructed models for linguistic structure can play an important role, both negative and positive, in the process of discovery itself. By pushing a precise but inadequate formulation to an unacceptable conclusion, we can often expose the exact source of this inadequacy and, consequently, gain a deep understanding of the linguistic data. More positively, a formalized theory may automatically provide solutions for many problems other than those for which it was explicitly designed.” MayImportantPlayProblemProcessUnderstandingRolesTheorySourceModelsSolutionsDiscoveryGainsNegativeStructureConclusionDataPushingPrecisePositivelyInadequateInadequacyDeep UnderstandingNegative And Positive Book:Syntactic Structures Source: Syntactic Structures
“A holistic solution to income inequality is going to take a lot of work, but every time you prove that one of the strands is achievable and that it has a positive impact on people's lives you take another step towards proving the bigger theory of the case.” PeopleStepsCasesTheoryProveSolutionsBiggerImpactIncomeInequalityProgressiveHolisticStrandsIncome InequalityPositive Impact Author:Bill de Blasio