“Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.” SeemsLossSeriousDiscoveryLogicBasesFoundationSurpriseContradictionSoleArithmeticConsternation Author:Gottlob Frege
“Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.” PhilosophyScienceHalfLogicMathematicsVery GoodPhilosopherAnalysisMathematician Author:Gottlob Frege
“It really is worth the trouble to invent a new symbol if we can thus remove not a few logical difficulties and ensure the rigour of the proofs. But many mathematicians seem to have so little feeling for logical purity and accuracy that they will use a word to mean three or four different things, sooner than make the frightful decision to invent a new word.” IfsMeanLittlesDifferentUseFeelingsSeemsScienceThreeDecisionFourTroubleLogicDifficultyProofSymbolsPurityDifferent ThingsRemoveLogicalMathematicianAccuracyNomenclatureNew WordsRigour Book:Translations from the Philosophical Writings of Gottlob Frege Source: Translations from the Philosophical Writings of Gottlob Frege