Mathematical modelA mathematical model is an abstract description of a concrete system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in many fields, including applied mathematics, natural sciences, social sciences and engineering. In particular, the field of operations research studies the use of mathematical modelling and related tools to solve problems in business or military operations.
Wishful thinkingWishful thinking is the formation of beliefs based on what might be pleasing to imagine, rather than on evidence, rationality, or reality. It is a product of resolving conflicts between belief and desire. Methodologies to examine wishful thinking are diverse. Various disciplines and schools of thought examine related mechanisms such as neural circuitry, human cognition and emotion, types of bias, procrastination, motivation, optimism, attention and environment.
ConjectureIn mathematics, a conjecture is a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's conjecture (now a theorem, proven in 1995 by Andrew Wiles), have shaped much of mathematical history as new areas of mathematics are developed in order to prove them. Resolution of conjecturesProofFormal mathematics is based on provable truth.
Point estimationParameter estimation via sample statisticsIn statistics, point estimation involves the use of sampledata to calculate a single value (known as a point estimate, since it identifies a point rather than an interval), which serves as a "best guess" or "best estimate" of an unknown quantity, for example, the population mean, the variance of a distribution, or a model parameter (in a parametric model).*As an Amazon Associate I earn from qualifying purchases.