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A graph that shows the number of balls in and out of the vase for the first ten iterations of the problem. The Ross–Littlewood paradox (also known as the balls and vase problem or the ping pong ball problem) is a hypothetical problem in abstract mathematics and logic designed to illustrate the paradoxical, or at least non-intuitive, nature of infinity.
Hypothetical imperatives tell us how to act in order to achieve a specific goal and the commandment of reason applies only conditionally, e.g. "I must study to get a degree." To put it simply, a hypothetical imperative is the blueprint for the use of reason in the interest of achieving a goal.
Analyst's traveling salesman theorem (discrete mathematics) Analytic Fredholm theorem (functional analysis) Anderson's theorem (real analysis) Andreotti–Frankel theorem (algebraic geometry) Angle bisector theorem (Euclidean geometry) Ankeny–Artin–Chowla theorem (number theory) Anne's theorem ; Apéry's theorem (number theory)
Imperative logic is the field of logic concerned with imperatives. In contrast to declaratives, it is not clear whether imperatives denote propositions or more generally what role truth and falsity play in their semantics. Thus, there is almost no consensus on any aspect of imperative logic.
Hypothetical syllogisms come in two types: mixed and pure. A mixed hypothetical syllogism has two premises: one conditional statement and one statement that either affirms or denies the antecedent or consequent of that conditional statement.
In mathematics and logic, a collection of objects and morphisms between them that satisfies certain axioms, fundamental to category theory. category theory A branch of mathematics that deals with abstract algebraic structures and relationships between them, providing a unifying framework for various areas of mathematics. causal logic
Group (mathematics) Halting problem. insolubility of the halting problem; Harmonic series (mathematics) divergence of the (standard) harmonic series; Highly composite number; Area of hyperbolic sector, basis of hyperbolic angle; Infinite series. convergence of the geometric series with first term 1 and ratio 1/2; Integer partition; Irrational ...
In mathematical logic, a judgment (or judgement) or assertion is a statement or enunciation in a metalanguage.For example, typical judgments in first-order logic would be that a string is a well-formed formula, or that a proposition is true.