Similarities between Naive set theory and Outline of logic
Naive set theory and Outline of logic have 32 things in common (in Unionpedia): Antinomy, Begriffsschrift, Binary relation, Boolean algebra, Boolean algebra (structure), Cardinal number, Complement (set theory), Domain of discourse, Empty set, First-order logic, Function (mathematics), Gödel's incompleteness theorems, Infinite set, Intersection (set theory), Logical conjunction, Logical disjunction, Mathematics, Natural language, Negation, Ordered pair, Paradox, Partially ordered set, Power set, Russell's paradox, Set (mathematics), Set theory, Subset, Tuple, Union (set theory), Universal set, ..., Venn diagram, Zermelo–Fraenkel set theory. Expand index (2 more) »
Antinomy
Antinomy (Greek ἀντί, antí, "against, in opposition to", and νόμος, nómos, "law") refers to a real or apparent mutual incompatibility of two laws.
Antinomy and Naive set theory · Antinomy and Outline of logic ·
Begriffsschrift
Begriffsschrift (German for, roughly, "concept-script") is a book on logic by Gottlob Frege, published in 1879, and the formal system set out in that book.
Begriffsschrift and Naive set theory · Begriffsschrift and Outline of logic ·
Binary relation
In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.
Binary relation and Naive set theory · Binary relation and Outline of logic ·
Boolean algebra
In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.
Boolean algebra and Naive set theory · Boolean algebra and Outline of logic ·
Boolean algebra (structure)
In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice.
Boolean algebra (structure) and Naive set theory · Boolean algebra (structure) and Outline of logic ·
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 Naive set theory · Cardinal number and Outline of logic ·
Complement (set theory)
In set theory, the complement of a set refers to elements not in.
Complement (set theory) and Naive set theory · Complement (set theory) and Outline of logic ·
Domain of discourse
In the formal sciences, the domain of discourse, also called the universe of discourse, universal set, or simply universe, is the set of entities over which certain variables of interest in some formal treatment may range.
Domain of discourse and Naive set theory · Domain of discourse and Outline of logic ·
Empty set
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
Empty set and Naive set theory · Empty set and Outline of logic ·
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 Naive set theory · First-order logic and Outline of logic ·
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
Function (mathematics) and Naive set theory · Function (mathematics) and Outline of logic ·
Gödel's incompleteness theorems
Gödel's incompleteness theorems are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system containing basic arithmetic.
Gödel's incompleteness theorems and Naive set theory · Gödel's incompleteness theorems and Outline of logic ·
Infinite set
In set theory, an infinite set is a set that is not a finite set.
Infinite set and Naive set theory · Infinite set and Outline of logic ·
Intersection (set theory)
In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.
Intersection (set theory) and Naive set theory · Intersection (set theory) and Outline of logic ·
Logical conjunction
In logic, mathematics and linguistics, And (∧) is the truth-functional operator of logical conjunction; the and of a set of operands is true if and only if all of its operands are true.
Logical conjunction and Naive set theory · Logical conjunction and Outline of logic ·
Logical disjunction
In logic and mathematics, or is the truth-functional operator of (inclusive) disjunction, also known as alternation; the or of a set of operands is true if and only if one or more of its operands is true.
Logical disjunction and Naive set theory · Logical disjunction and Outline of logic ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Mathematics and Naive set theory · Mathematics and Outline of logic ·
Natural language
In neuropsychology, linguistics, and the philosophy of language, a natural language or ordinary language is any language that has evolved naturally in humans through use and repetition without conscious planning or premeditation.
Naive set theory and Natural language · Natural language and Outline of logic ·
Negation
In logic, negation, also called the logical complement, is an operation that takes a proposition P to another proposition "not P", written \neg P (¬P), which is interpreted intuitively as being true when P is false, and false when P is true.
Naive set theory and Negation · Negation and Outline of logic ·
Ordered pair
In mathematics, an ordered pair (a, b) is a pair of objects.
Naive set theory and Ordered pair · Ordered pair and Outline of logic ·
Paradox
A paradox is a statement that, despite apparently sound reasoning from true premises, leads to an apparently self-contradictory or logically unacceptable conclusion.
Naive set theory and Paradox · Outline of logic and Paradox ·
Partially ordered set
In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.
Naive set theory and Partially ordered set · Outline of logic and Partially ordered set ·
Power set
In mathematics, the power set (or powerset) of any set is the set of all subsets of, including the empty set and itself, variously denoted as, 𝒫(), ℘() (using the "Weierstrass p"),,, or, identifying the powerset of with the set of all functions from to a given set of two elements,.
Naive set theory and Power set · Outline of logic and Power set ·
Russell's paradox
In the foundations of mathematics, Russell's paradox (also known as Russell's antinomy), discovered by Bertrand Russell in 1901, showed that some attempted formalizations of the naïve set theory created by Georg Cantor led to a contradiction.
Naive set theory and Russell's paradox · Outline of logic and Russell's paradox ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Naive set theory and Set (mathematics) · Outline of logic and Set (mathematics) ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Naive set theory and Set theory · Outline of logic and Set theory ·
Subset
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.
Naive set theory and Subset · Outline of logic and Subset ·
Tuple
In mathematics, a tuple is a finite ordered list (sequence) of elements.
Naive set theory and Tuple · Outline of logic and Tuple ·
Union (set theory)
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.
Naive set theory and Union (set theory) · Outline of logic and Union (set theory) ·
Universal set
In set theory, a universal set is a set which contains all objects, including itself.
Naive set theory and Universal set · Outline of logic and Universal set ·
Venn diagram
A Venn diagram (also called primary diagram, set diagram or logic diagram) is a diagram that shows all possible logical relations between a finite collection of different sets.
Naive set theory and Venn diagram · Outline of logic and Venn diagram ·
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.
Naive set theory and Zermelo–Fraenkel set theory · Outline of logic and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What Naive set theory and Outline of logic have in common
- What are the similarities between Naive set theory and Outline of logic
Naive set theory and Outline of logic Comparison
Naive set theory has 97 relations, while Outline of logic has 501. As they have in common 32, the Jaccard index is 5.35% = 32 / (97 + 501).
References
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