“I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that people learn about and gather together. Then there is a sort of inevitable development in those fields. You get to the point where a certain theorem is bound to be proved, independent of any particular individual, because it is just in the path of development.” PeopleThinkingTogetherCertainIndividualPathSubjectsFieldsParticularDevelopmentCivilizationMathematicsIndependentBoundsMathematicalInevitableTerritoryTheorems Author:William Thurston
“As one reads mathematics, one needs to have an active mind, asking questions, forming mental connections between the current topic and other ideas from other contexts, so as to develop a sense of the structure, not just familiarity with a particular tour through the structure.” NeedsMindIdeasTeachingParticularConnectionsAskingMathematicsStructureCurrentsActiveMathTopicsFamiliarityAsking QuestionsActive Minds Book:Three-Dimensional Geometry and Topology, Volume 1 Source: Three-Dimensional Geometry and Topology, Volume 1
