“The goal of a definition is to introduce a mathematical object. The goal of a theorem is to state some of its properties, or interrelations between various objects. The goal of a proof is to make such a statement convincing by presenting a reasoning subdivided into small steps each of which is justified as an "elementary" convincing argument.” StatesGoalStepsObjectsArgumentMathematicsPropertyDefinitionsVariousProofStatementsMathematicalReasoningIntroducingJustifiedConvincingPresentingTheoremsSmall Steps Author:IU?. I. Manin
“The only argument this president needs to persuade Americans is that sacking Saddam is necessary for the security of America and the West, of civilization as we know it. All those other goals are nice, worthy even, but irrelevant to the job immediately at hand.” KnowsNeedsWarHandsJobsAmericaGoalPresidentNiceSecurityCivilizationArgumentWestWorthyIrrelevantSaddamKnow It AllSacking Author:Wesley Pruden
“The [first] argument asserts the non-existence of motion on the ground that that which is in locomotion must arrive at the half-way stage before it arrives at the goal.” WayFirstsScienceGoalExistenceHalfStageArgumentNotionHalf WayNon Existence Author:Zeno of Elea