Natural number

Related lectures (32)

Covers the concept of natural numbers, including properties like commutativity and associativity.

Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.

Explains the principle of double inclusion and provides examples with natural numbers and geometry.

Explores place-valued arithmetic, covering addition, subtraction, and limitations of digital systems.

Explains Cantor's theorem comparing cardinalities of different number sets.

Covers function composition and integers, including properties and examples.

Covers strings, countable sets, cardinality, and the concept of countability, exploring the countability of various sets and Cantor diagonalization.

Explains mathematical induction for proving propositions true for all positive integers.

Covers the binary representation of integers, including positive and negative numbers.

Explores the Cartesian product in linear algebra and the method of induction for proving propositions.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Covers the principle of mathematical induction for proving propositions true for all positive integers.

Covers basic properties of natural numbers, including order relations and inverses.

Explores the construction of G-sets and left adjoint functors in category theory.

Explores the analytic continuation of the zeta function and its relation to holomorphic functions and natural numbers.

Explores a counterexample to the induction principle, demonstrating a property of natural numbers.

Explores the properties of division in natural numbers and its relation to multiplication.

Explains the concept of free actions and their preservation properties in group theory.

Covers the basics of proofs, defining sets, and applications between sets.

Explores recursively defined sets, natural numbers, strings, functions, and propositional logic formulae.

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