Mathematics and Plausible Reasoning: Patterns of plausible inference

a₁ analogy angle appears B₁ B₂+1 Basilicata Bernoulli's method calculus of probability chance chapter coincidence column computation conclusion consider D. H. Lehmer definite denote derivation dice discussed draw E₁ equal equation Euler Euler's conjecture event evidence examine example fact fair dice false foregoing formulated frustum fundamental inductive pattern Goldbach's conjecture guess heuristic pattern Hiller house hypothesis H implies incompatible inductive reasoning integers isoperimetric theorem less credible logic mass phenomenon mathematical means modus tollens non-A non-B numerical value obtain pattern of plausible pattern of sect plausible inference plausible reasoning possible Pr{A Pr{AB Pr{B predict principal frequency problem problem-solver proof prove quadrilateral question radius of convergence random mass reject render result rival conjectures rules sequence sides situation solution statement statistical hypothesis succession Table tetrahedron theorem tion triangle true verification verified consequences white balls zeros