“Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.” MayProblemResultsKnownPiecesMysteryBuiltLogicMathematicsSolveProofCertaintyUncertaintyIslandsReasoningIngredientsSpeculationOntologyTheoremsUnanswered QuestionsUnanswered Author:Ivars Peterson
“Each new ontological theory, propounded in lieu of previous ones shown to be untenable, has been followed by a new criticism leading to a new scepticism. All possible conceptions have been one by one tried and found wanting; and so the entire field of speculation has been gradually exhausted without positive result: the only result reached being the negative one above stated, that the reality existing behind all appearances is, and must ever be, unknown.” Has BeensRealityFoundResultsBehindsFieldsTheoryNegativeCriticismAppearanceConceptionExhaustedSpeculationScepticismPositive Results Book:Synthetic Philosophy ...: First principles. 1920. [v.2-3] The principles of biology. v.1, rev. & enl. ed., 1921 Source: Synthetic Philosophy ...: First principles. 1920. [v.2-3] The principles of biology. v.1, rev. & enl. ed., 1921
“Fantasy is a product of thought, Imagination of sensibility. If the thinking, discursive mind turns to speculation, the result isFantasy; if, however, the sensitive, intuitive mind turns to speculation, the result is Imagination. Fantasy may be visionary, but it is cold and logical. Imagination is sensuous and instinctive. Both have form, but the form of Fantasy is analogous to Exposition, that of Imagination to Narrative.” IfsThinkingMindMayFormTurnsImaginationResultsFantasyProductsColdNarrativeSensitiveLogicalSensibilitySpeculationIntuitiveVisionariesSensuous Author:Herbert Read