Faster access than browser!Similarities between Hyperreal number and List of mathematical logic topics
Hyperreal number and List of mathematical logic topics have 17 things in common (in Unionpedia): Axiom of choice, Cardinal number, Continuum hypothesis, Elementary equivalence, First-order logic, Function (mathematics), Hyperinteger, Non-standard analysis, Non-standard calculus, Saharon Shelah, Saturated model, Soundness, Standard part function, Transfer principle, Ultraproduct, Zermelo–Fraenkel set theory, Zorn's lemma.
Axiom of choice
In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty.
Axiom of choice and Hyperreal number · Axiom of choice and List of mathematical logic topics ·
Cardinal number
In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets.
Cardinal number and Hyperreal number · Cardinal number and List of mathematical logic topics ·
Continuum hypothesis
In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.
Continuum hypothesis and Hyperreal number · Continuum hypothesis and List of mathematical logic topics ·
Elementary equivalence
In model theory, a branch of mathematical logic, two structures M and N of the same signature σ are called elementarily equivalent if they satisfy the same first-order σ-sentences.
Elementary equivalence and Hyperreal number · Elementary equivalence and List of mathematical logic topics ·
First-order logic
First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.
First-order logic and Hyperreal number · First-order logic and List of mathematical logic topics ·
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
Function (mathematics) and Hyperreal number · Function (mathematics) and List of mathematical logic topics ·
Hyperinteger
In non-standard analysis, a hyperinteger n is a hyperreal number that is equal to its own integer part.
Hyperinteger and Hyperreal number · Hyperinteger and List of mathematical logic topics ·
Non-standard analysis
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers.
Hyperreal number and Non-standard analysis · List of mathematical logic topics and Non-standard analysis ·
Non-standard calculus
In mathematics, non-standard calculus is the modern application of infinitesimals, in the sense of non-standard analysis, to differential and integral calculus.
Hyperreal number and Non-standard calculus · List of mathematical logic topics and Non-standard calculus ·
Saharon Shelah
Saharon Shelah (שהרן שלח) is an Israeli mathematician.
Hyperreal number and Saharon Shelah · List of mathematical logic topics and Saharon Shelah ·
Saturated model
In mathematical logic, and particularly in its subfield model theory, a saturated model M is one which realizes as many complete types as may be "reasonably expected" given its size.
Hyperreal number and Saturated model · List of mathematical logic topics and Saturated model ·
Soundness
In mathematical logic, a logical system has the soundness property if and only if every formula that can be proved in the system is logically valid with respect to the semantics of the system.
Hyperreal number and Soundness · List of mathematical logic topics and Soundness ·
Standard part function
In non-standard analysis, the standard part function is a function from the limited (finite) hyperreal numbers to the real numbers.
Hyperreal number and Standard part function · List of mathematical logic topics and Standard part function ·
Transfer principle
In model theory, a transfer principle states that all statements of some language that are true for some structure are true for another structure.
Hyperreal number and Transfer principle · List of mathematical logic topics and Transfer principle ·
Ultraproduct
The ultraproduct is a mathematical construction that appears mainly in abstract algebra and in model theory, a branch of mathematical logic.
Hyperreal number and Ultraproduct · List of mathematical logic topics and Ultraproduct ·
Zermelo–Fraenkel set theory
In mathematics, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.
Hyperreal number and Zermelo–Fraenkel set theory · List of mathematical logic topics and Zermelo–Fraenkel set theory ·
Zorn's lemma
Zorn's lemma, also known as the Kuratowski–Zorn lemma, after mathematicians Max Zorn and Kazimierz Kuratowski, is a proposition of set theory that states that a partially ordered set containing upper bounds for every chain (that is, every totally ordered subset) necessarily contains at least one maximal element.
Hyperreal number and Zorn's lemma · List of mathematical logic topics and Zorn's lemma ·
The list above answers the following questions
- What Hyperreal number and List of mathematical logic topics have in common
- What are the similarities between Hyperreal number and List of mathematical logic topics
Hyperreal number and List of mathematical logic topics Comparison
Hyperreal number has 87 relations, while List of mathematical logic topics has 354. As they have in common 17, the Jaccard index is 3.85% = 17 / (87 + 354).
References
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