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LOCATING THE VANISHING POINT
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abrupt change abstract According actually algebraists arithmetic asymptotic limit behave believe black hole calculus called Cantor catastrophe theory century certainty chess combinatorics common sense concept cusp catastrophe deductive reasoning definition described digits dimension discovery earth electron ematicians ematics Euclid's geometry evidence example existence fractions Frege game theory Gauss Georg Cantor Goldbach's conjecture group theory human hypothesis imaginary numbers imagination infinite set infinitely long infinity instance invented irrational number Leonhard Euler logic Mandelbrodt math anxiety mathematical mathematicians means Michael Guillen miles multiplied natural world negative numbers NP-class problems null set object optimal strategy paradox person players positive number possible postulate predict principle of faith probabilistic behavior proved qualitative rational number line real number reality reason recognize Related Essay Riemann's Russell's paradox scientists sequence species speed starfish statistics straight line surface symmetry theorems things Thom's topological invariants transfinite number traveling salesman problem truth two-person universe whole numbers width zero