“Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers.” NumbersFieldsTheoryComputerMathematicsFiniteGeometryAlgebraCryptography Author:Vladimir Arnold
“There is no single theory that is used in economics that considers the finite nature of resources. It's shocking.” UsedTheoryResourcesEconomicsShockingFinite Author:Jeremy Grantham
“You can keep counting forever. The answer is infinity. But, quite frankly, I don't think I ever liked it. I always found something repulsive about it. I prefer finite mathematics much more than infinite mathematics. I think that it is much more natural, much more appealing and the theory is much more beautiful. It is very concrete. It is something that you can touch and something you can feel and something to relate to. Infinity mathematics, to me, is something that is meaningless, because it is abstract nonsense.” ThinkingFeelsBeautifulScienceFoundNaturalAnswersForeverTheoryInfiniteMathematicsRelateAbstractNonsenseInfinityMeaninglessConcreteFiniteCounting Author:Doron Zeilberger
“Renormalization is just a stop-gap procedure. There must be some fundamental change in our ideas, probably a change just as fundamental as the passage from Bohr's orbit theory to quantum mechanics. When you get a number turning out to be infinite which ought to be finite, you should admit that there is something wrong with your equations, and not hope that you can get a good theory just by doctoring up that number.” ShouldIdeasNumbersTheoryOughtInfiniteFundamentalsGapsPassagesQuantumMechanicFiniteEquationsProceduresQuantum MechanicsOrbitDoctoring Author:Paul Dirac
“If you go through the list of things that are not possible you're left with a very finite amount of possibilities. The fancy name for this is constraint theory. It's a nonquantitative model, but it's a field of mathematics.” IfsNamesLeftFieldsPossibilityTheoryAmountModelsMathematicsListsFancyFiniteConstraints Author:George Friedman