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  2. Aleph number - Wikipedia

    en.wikipedia.org/wiki/Aleph_number

    The set is itself an ordinal number larger than all countable ones, so it is an uncountable set. Therefore, ℵ 1 {\displaystyle \aleph _{1}} is distinct from ℵ 0 {\displaystyle \aleph _{0}} .

  3. Absolute infinite - Wikipedia

    en.wikipedia.org/wiki/Absolute_Infinite

    It can be thought of as a number that is bigger than any other conceivable or inconceivable quantity, either finite or transfinite. Cantor linked the absolute infinite with God , [ 1 ] [ 2 ] : 175 [ 3 ] : 556 and believed that it had various mathematical properties, including the reflection principle : every property of the absolute infinite is ...

  4. Negative number - Wikipedia

    en.wikipedia.org/wiki/Negative_number

    In mathematics, a negative number is the opposite of a positive real number. [1] ... the subtraction of a larger number from a smaller yields a negative result, with ...

  5. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.

  6. Infinity - Wikipedia

    en.wikipedia.org/wiki/Infinity

    [1] [3] For example, if a line is viewed as the set of all of its points, their infinite number (i.e., the cardinality of the line) is larger than the number of integers. [4] In this usage, infinity is a mathematical concept, and infinite mathematical objects can be studied, manipulated, and used just like any other mathematical object.

  7. Cardinality of the continuum - Wikipedia

    en.wikipedia.org/wiki/Cardinality_of_the_continuum

    The smallest infinite cardinal number is . The second smallest is ℵ 1 {\displaystyle \aleph _{1}} ( aleph-one ). The continuum hypothesis , which asserts that there are no sets whose cardinality is strictly between ℵ 0 {\displaystyle \aleph _{0}} and c {\displaystyle {\mathfrak {c}}} , means that c = ℵ 1 {\displaystyle {\mathfrak {c ...

  8. Additive inverse - Wikipedia

    en.wikipedia.org/wiki/Additive_inverse

    In a vector space, the additive inverse −v (often called the opposite vector of v) has the same magnitude as v and but the opposite direction. [11] In modular arithmetic, the modular additive inverse of x is the number a such that a + x ≡ 0 (mod n) and always exists. For example, the inverse of 3 modulo 11 is 8, as 3 + 8 ≡ 0 (mod 11).

  9. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    2. Denotes that a number is positive and is read as plus. Redundant, but sometimes used for emphasizing that a number is positive, specially when other numbers in the context are or may be negative; for example, +2. 3. Sometimes used instead of for a disjoint union of sets. − 1.