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This is a list of mathematical logic topics. For traditional syllogistic logic, see the list of topics in logic . See also the list of computability and complexity topics for more theory of algorithms .
The Ages of Three Children puzzle (sometimes referred to as the Census-Taker Problem [1]) is a logical puzzle in number theory which on first inspection seems to have insufficient information to solve. However, with closer examination and persistence by the solver, the question reveals its hidden mathematical clues, especially when the solver ...
Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense , algebra , geometry , measurement , and data analysis .
Boolean algebra – branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0, respectively. It is used for describing logical operations. Analysis/Calculus – the branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. Calculus is the study of ...
A statement in logic that is formed by combining two or more statements with logical connectives, allowing for the construction of more complex statements from simpler ones. [67] [68] comprehension schema A principle in set theory and logic allowing for the formation of sets based on a defining property or condition. computable function
Before the Renaissance, mathematics was divided into two main areas: arithmetic, regarding the manipulation of numbers, and geometry, regarding the study of shapes. [7] Some types of pseudoscience, such as numerology and astrology, were not then clearly distinguished from mathematics. [8] During the Renaissance, two more areas appeared.
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