“All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers.” FormSimpleResultsMathematicsPropertyMathematicalInvestigationIntegers Author:Leopold Kronecker
“The news media reported the $250 million as an unthinkably huge waste of money and proclaimed that something was wrong with NASA. The result was an investigation and a congressional hearing. Not to defend failure, but $250 million is not much more than the cost to produce Kevin Costner's film flop Waterworld.” FilmResultsMillionsMediaProduceHugeCostWasteNewsHearingExplorationInvestigationSpace ExplorationNasaKevinNews Media Author:Neil deGrasse Tyson
“Logical investigations can obviously be a useful tool for philosophy. They must, however, be informed by a sensitivity to the philosophical significance of the formalism and by a generous admixture of common sense, as well as a thorough understanding both of the basic concepts and of the technical details of the formal material used. It should not be supposed that the formalism can grind out philosophical results in a manner beyond the capacity of ordinary philosophical reasoning. There is no mathematical substitute for philosophy.” ShouldWellsPhilosophyUsedUnderstandingResultsCommonMaterialsOrdinaryConceptsCapacityToolsPhilosophicalDetailsCommon SenseMathematicalGenerousReasoningLogicalSignificanceSubstitutesInvestigationFormalSensitivityGrindThoroughThorough Understanding Author:Saul Kripke
“We will take all appropriate actions based on the results of the investigation to ensure that the integrity and values of the SeaWorld organization are upheld.” ActionValuesResultsIntegrityOrganizationAppropriateInvestigation Author:Joel Manby
“[On Archimedes mathematical results:] It is not possible to find in all geometry more difficult and intricate questions, or more simple and lucid explanation... No investigation of yours would succeed in attaining the proof, and yet, once seen you immediately believe you would have discovered it.” BelieveDifficultSimpleResultsSucceedDiscoveryProofMathematicalExplanationInvestigationGeometryEpiphanyIntricate Author:Proclus