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2020 science fiction novel by Lindsay Ellis
Axiom's End is a 2020 science fiction alternate history novel by American writer Lindsay Ellis. Set in 2007, the novel is about a U.S. government coverup
Axiom's_End
American author and film critic (born 1984)
author, video essayist, film critic, and YouTuber. Her debut novel, Axiom's End, published in July 2020, became a New York Times Best Seller. Ellis was
Lindsay_Ellis
Axioms for the natural numbers
mathematical logic, the Peano axioms (/piˈɑːnoʊ/; [peˈaːno]), also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers
Peano_axioms
Axiom of set theory
the axiom of choice for their proofs. Contemporary set theorists also study axioms that are not compatible with the axiom of choice, such as the axiom of
Axiom_of_choice
Basis for Euclidean geometry
throughout. The Axioms of Incidence were called Axioms of Connection by Townsend. These axioms axiomatize Euclidean solid geometry. Removing five axioms mentioning
Hilbert's_axioms
Concept in axiomatic set theory
specification, one gets the weaker system of axioms called ZC (i.e., Zermelo's axioms, plus the axiom of choice). The axiom schema of unrestricted comprehension
Axiom_schema_of_specification
Axiom set used in first-order logic
axiomizations of Euclidean geometry are Hilbert's axioms (1899) and Birkhoff's axioms (1932). Using his axiom system, Tarski was able to show that the first-order
Tarski's_axioms
Mathematical model of the physical space
axioms can be formulated which are logically equivalent to the parallel postulate (in the context of the other axioms). For example, Playfair's axiom
Euclidean_geometry
2021 science fiction novel by Lindsay Ellis
Press Publication place United States Media type Print (hardcover) Pages 496 ISBN 9781250274540 Preceded by Axiom's End Followed by Apostles of Mercy
Truth_of_the_Divine
Limitative results in mathematical logic
consistent set of axioms for all mathematics is impossible. The first incompleteness theorem states that no consistent system of axioms whose theorems can
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Rules related to the mathematical principles of origami
The Huzita–Justin axioms or Huzita–Hatori axioms are a set of rules related to the mathematical principles of origami, describing the operations that can
Huzita–Hatori_axioms
Axioms for defining a topology
topology and related branches of mathematics, the Kuratowski closure axioms are a set of axioms that can be used to define a topological structure on a set. They
Kuratowski_closure_axioms
English YouTuber and actress (born 1993)
OSS 117, and The Man from U.N.C.L.E. Thorn narrated the audiobook for Axiom's End (2020) by Lindsay Ellis, alongside Stephanie Willis. For her narration
Abigail_Thorn
Number used for counting
Two standard formal definitions are based on the Peano axioms and set theory. The Peano axioms (named for Giuseppe Peano) do not explicitly define what
Natural_number
3-volume treatise on mathematics, 1910–1913
purely logical axioms. However, Principia Mathematica required, in addition to the basic axioms of type theory, three further axioms that seemed to not
Principia_Mathematica
Mathematical term; concerning axioms used to derive theorems
statements known as axioms that are used for the logical deduction of other statements. In mathematics these logical consequences of the axioms may be known
Axiomatic_system
System of formal deduction in logic
presents his 17 axioms—axioms of implication #1-4, axioms about & and V #5-10, axioms of negation #11-12, his logical ε-axiom #13, axioms of equality #14-15
Hilbert_system
Axiom of the form, "If a condition holds, then the following will be done"
An action axiom is an axiom that embodies a criterion for describing action. Action axioms are of the form "If a condition holds, then the following will
Action_axiom
Concept in set theory
In set theory, the axiom schema of replacement is a schema of axioms in Zermelo–Fraenkel set theory (ZF) that asserts that the image of any set under
Axiom_schema_of_replacement
Formal argument for the existence of God
criticism of Gödel's proof is aimed at its axioms: as with any proof in any logical system, if the axioms the proof depends on are doubted, then the conclusions
Gödel's_ontological_proof
Planned private crewed spaceflight to the International Space Station in 2027
Axiom Mission 5 (or Ax-5) is an upcoming private spaceflight to the International Space Station operated by Axiom Space using a SpaceX Crew Dragon spacecraft
Axiom_Mission_5
Mathematician and philosopher (1906–1978)
neither the axiom of choice nor the continuum hypothesis can be disproved from the accepted Zermelo–Fraenkel set theory, assuming that its axioms are consistent
Kurt_Gödel
Topics referred to by the same term
also refer to: A fictional character from the science fiction novel Axiom's End A fictional character in the comic book series Y: The Last Man The fictional
Ampersand_(disambiguation)
Spanish professional wrestler (born 1997)
signed to WWE, where he performs on the SmackDown brand under the ring name Axiom. He is a former one-time and the inaugural NXT UK Heritage Cup Champion
Axiom_(wrestler)
System of mathematical set theory
finitely many axioms, the axiom schema of class comprehension is first replaced with finitely many class existence axioms. Then these axioms are used to
Von Neumann–Bernays–Gödel set theory
Von_Neumann–Bernays–Gödel_set_theory
Type of geometry
the other axioms, it is possible to define the basic operations of arithmetic, geometrically. The resulting operations satisfy the axioms of a field
Projective_geometry
Axiomatic logical system
infix + and ·, respectively. The following axioms for Q are Q1–Q7 in Burgess (2005, p. 42) (cf. also the axioms of first-order arithmetic). Variables not
Robinson_arithmetic
Public high school in Johnson City, Tennessee, United States
first baseman Matt Czuchry, actor Lindsay Ellis, film critic, author (Axiom's End) Aubrayo Franklin, National Football League (NFL) player Wyck Godfrey
Science_Hill_High_School
American science fiction novelist (born 1951)
a major influence. In addition, Card inspired Lindsay Ellis's novel Axiom's End. Since 1994, Card has served as a judge for Writers of the Future, a
Orson_Scott_Card
Possible axiom of set theory
The axioms of replacement, global choice, and union (with the other axioms of NBG) imply the axiom of limitation of size. Therefore, this axiom is equivalent
Axiom_of_limitation_of_size
Geometry without using coordinates
geometry Foundations of geometry Hilbert's axioms Incidence geometry Synthetic differential geometry Tarski's axioms Klein 1948, p. 55 Greenberg 1974, p. 59
Synthetic_geometry
Set of axioms for set theory
mathematics, the elementary theory of the category of sets or ETCS is a set of axioms for set theory proposed by William Lawvere in 1964. Although it was originally
Elementary theory of the category of sets
Elementary_theory_of_the_category_of_sets
Emirati royal and politician (born 1949)
British Virgin Islands (BVI) and the Bahamas. Registered by an Emirati firm, Axiom Limited, the three companies were Tandem Investco Limited and Tandem DirectorCo
Mohammed bin Rashid Al Maktoum
Mohammed_bin_Rashid_Al_Maktoum
President of the United States (2017–2021; since 2025)
be his best friend. Fred passed along to Donald his work ethic and the axiom to bring in projects "on time and under budget". He told him repeatedly
Donald_Trump
Role-playing game adventure
When Axioms Collide is a 1992 role-playing adventure for Torg published by West End Games. When Axioms Collide is an adventure in which the Storm Knights
When_Axioms_Collide
Basic proposition or assumption
Kantians. In mathematics and formal logic, first principles are referred to as axioms or postulates. In physics and other sciences, theoretical work is said to
First_principle
2015 video game
up", and shoots him. Axiom Verge is an independent project by Petroglyph Games engineer Tom Happ, who has worked on games such as End of Nations, NFL Street
Axiom_Verge
Topics referred to by the same term
poetry collection by Evan Oakley Noumena, a novel series by Lindsay Ellis Axiom's End, the first novel in the Noumena series Truth of the Divine, the second
Noumenon_(disambiguation)
Intelligence in machines
solution of the problem and whose leaf nodes are labelled by premises or axioms. In the case of Horn clauses, problem-solving search can be performed by
Artificial_intelligence
In mathematics, a statement that has been proven
theorem is a logical consequence of the axioms and previously proved theorems. In mainstream mathematics, the axioms and the inference rules are commonly
Theorem
Basic framework of mathematics
must result from explicit axioms and previously proved theorems by the application of clearly defined inference rules. The axioms need not correspond to
Foundations_of_mathematics
do. Leung and Bond (2008) provide a formal definition of social axioms: "Social axioms are generalized beliefs about people, social groups, social institutions
Social_Axioms_Survey
Series of open-hardware cinema cameras
AXIOM is an open hardware and free software digital cinema camera family of devices being developed by a DIY community around the apertus° project. The
AXIOM_(camera)
American actor and film producer (born 1962)
co-produce. Both will fly to the International Space Station as part of a future Axiom Space mission in a SpaceX Dragon 2 spacecraft. In May 2021, Cruise protested
Tom_Cruise
Form of mathematical proof
an axiom of the natural numbers; see Peano axioms. It is strictly stronger than the well-ordering principle in the context of the other Peano axioms. Suppose
Mathematical_induction
Mathematical problem
&(x^{y})^{z}&=x^{y\cdot z}\end{aligned}}} These eleven axioms, sometimes called the high school identities, are related to the axioms of a bicartesian closed
Tarski's high school algebra problem
Tarski's_high_school_algebra_problem
Algebraic manipulation of "true" and "false"
algebra follows logically from these axioms. Furthermore, Boolean algebras can then be defined as the models of these axioms as treated in § Boolean algebras
Boolean_algebra
Two geometries based on axioms closely related to those specifying Euclidean geometry
mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry
Non-Euclidean_geometry
Form of geometry without distances
of that set and every point of the other set. These axioms are closely related to Hilbert's axioms of order. For a comprehensive survey of axiomatizations
Ordered_geometry
Mathematical formulae
_{i+j=n}(P^{i}x)\smile (P^{j}y)\end{aligned}}} . The name derives from Henri Cartan, son of Élie. More precisely, these five axioms define cohomology operations
Cartan_formula
American businessman (born 1961)
"Ari Emanuel's Company to Acquire 7 Broadway Theaters and 10 in the West End". The New York Times. ISSN 0362-4331. Retrieved August 11, 2026. Huston,
Ari_Emanuel
Type of relation for subsets of a topological space
connected spaces (and their connected components) as well as to the separation axioms for topological spaces. Separated sets should not be confused with separated
Separated_sets
Set with associative invertible operation
uniqueness of inverse elements are not part of the axioms; they are consequences of the three axioms. Formally, a group is an ordered pair of a set and
Group_(mathematics)
Mathematical concept
infinite sets. Among the axioms of Zermelo–Fraenkel set theory, on which most of modern mathematics can be developed, is the axiom of infinity, which guarantees
Infinity
In logic, Nicod's axiom (named after the French logician and philosopher Jean Nicod) is a formula that can be used as the sole axiom of a semantically
Nicod's_axiom
American professional wrestling tag team
causing the match to end in a no contest. A rematch between the two was later scheduled for the NXT Deadline kickoff pre-show, where Axiom defeated Frazer
Fraxiom
2021 video game
Axiom Verge 2 is a Metroidvania video game by American indie developer Thomas Happ Games. It is the sequel to Axiom Verge and was released on August 11
Axiom_Verge_2
Field of knowledge
axioms is not a mathematical problem. In turn, the axiomatic method allows for the study of various geometries obtained either by changing the axioms
Mathematics
System of mathematical set theory
power set axiom, choice, and sometimes infinity. Also the axioms of separation and collection here are weaker than the corresponding axioms in ZFC because
Kripke–Platek_set_theory
Algebraic structure with addition and multiplication
and ⋅ (multiplication) satisfying the following three sets of axioms, called the ring axioms: R is an abelian group under addition, meaning that: (a + b)
Ring_(mathematics)
English actor (born 1967)
with his limitations as an actor. His Parker, in any case, is more of an axiom than a fully rounded human being." A 2012 BBC News report estimated that
Jason_Statham
Axiom(s) of Set Theory
1 Theorem: the natural numbers satisfy Peano’s axioms William S. Hatcher (1982) derives Peano's axioms from several foundational systems, including ZFC
Set-theoretic definition of natural numbers
Set-theoretic_definition_of_natural_numbers
Collection of mathematical objects
primitive notion. Instead, they are characterized by basic properties (axioms) that sets must have to correspond to intuition about collections. In modern
Set_(mathematics)
Paradox in set theory
including the axiom of choice). The main difference between Russell's and Zermelo's solution to the paradox is that Zermelo modified the axioms of set theory
Russell's_paradox
Axiom in Russell's ramified theory of types
axioms of logic—four axioms of Implication, six axioms of logical AND and logical OR, 2 axioms of logical negation, and 1 ε-axiom ("existence" axiom)--
Axiom_of_reducibility
Branch of mathematics
transformations of a projective space. Until the end of the 19th century, geometric spaces were defined by axioms relating points, lines, and planes (synthetic
Linear_algebra
System of mathematical set theory
Thus, the axioms introduce a new term, "standard", which can be used to make discriminations not possible under the conventional ZFC axioms for sets.
Internal_set_theory
Lisa Edelstein Actress House M.D. Lindsay Ellis Youtuber, author B.A. Axiom's End Kathryn Erbe Actress B.F.A., 1989 Oz, Law and Order: Criminal Intent
List of NYU Tisch School of the Arts people
List_of_NYU_Tisch_School_of_the_Arts_people
Private crewed spaceflight to the International Space Station in 2025
Axiom Mission 4 (Ax‑4) was a private crewed spaceflight to the International Space Station (ISS) operated by Axiom Space in partnership with SpaceX and
Axiom_Mission_4
Systems design methodology
two axioms used in Axiomatic Design (AD) are: Axiom 1: The Independence Axiom. Maintain the independence of the functional requirements (FRs). Axiom 2:
Axiomatic_design
Economic concept
construction of the utility function directly from the data, unlike earlier axioms like SARP, which only prove existence for infinite datasets. For instance
Revealed_preference
Science fiction audiobook award
Phalanx (2020) Scott Sigler Bronson Pinchot Blackstone Audio Finalist Axiom's End (2020) Lindsay Ellis Stephanie Willis and Abigail Thorn Macmillan Audio
Audie Award for Science Fiction
Audie_Award_for_Science_Fiction
General, formal theory of continuous quantity
The axioms of the theory of conjoint measurement are not stochastic; and given the ordinal constraints placed on data by the cancellation axioms, order
Theory of conjoint measurement
Theory_of_conjoint_measurement
Study of geometries as axiomatic systems
that an axiom is independent of the remaining axioms of the system, it is sufficient to find two models of the remaining axioms, for which the axiom is a
Foundations_of_geometry
Axiomatic set theories based on the principles of mathematical constructivism
The usual Peano axioms for natural numbers. Axioms asserting that the domain and range of a function are both sets. Additionally, an Axiom of non-choice
Constructive_set_theory
Branch of metaphysics
the theory consisting of primitive C and P, defined E and O, the axioms C1-3, and axioms assuring that P is a partial order. Replacing the M in MT with
Mereotopology
Hypothesis of hidden life in space
character Luo Ji, while discussing with Ye Wenjie. She introduces three key axioms to a new field she describes as "cosmic sociology": "Suppose a vast number
Dark_forest_hypothesis
German mathematician (1862–1943)
Robert Lee Moore published an equivalent set of axioms. Some of the axioms coincide, while some of the axioms in Moore's system are theorems in Hilbert's
David_Hilbert
Number measuring the chance an event occurs
errors of observation. The reprint (1757) of this memoir lays down the axioms that positive and negative errors are equally probable, and that certain
Probability
Branch of mathematics
based on the number of operations they use and the laws they follow, called axioms. Universal algebra and category theory provide general frameworks to investigate
Algebra
American actor and professional wrestler (born 1977)
at Battleground on July 19 to retain the United States Championship and end their feud. Cena resumed his feud with then-WWE World Heavyweight Champion
John_Cena
Algebraic structure in linear algebra
first four axioms (related to vector addition) say that a vector space is an abelian group under addition, and the four remaining axioms (related to
Vector_space
Measure of a civilization's evolution
proposed a classification of civilizations into three types, based on the axiom of exponential growth: A Type I civilization (planetary) is able to access
Kardashev_scale
Christian ethical consideration
and does not intend the bad effect, either as a means to the good or as an end in itself; the good effect outweighs the bad effect in circumstances sufficiently
Principle_of_double_effect
American professional wrestler (born 1994)
to Ilja Dragunov. On the September 26 episode of NXT, Williams defeated Axiom, Dragon Lee and Tyler Bate in a fatal four-way match to become the number
Trick_Williams
Characterization of normal spaces by continuous functions
&V(1/2)&\subseteq &U(3/4)&\subseteq &V(3/4)&\subseteq &B^{\complement }\end{array}}} This construction proceeds by mathematical induction. For the base
Urysohn's_lemma
Mathematical operation on vectors in 3D space
by Lie algebras, which are axiomatized as binary products satisfying the axioms of multilinearity, skew-symmetry, and the Jacobi identity. Many Lie algebras
Cross_product
Laws in physics about force and motion
over that interval, and an average velocity of zero means that the body ends the time interval in the same place as it began. Calculus gives the means
Newton's_laws_of_motion
Average uncertainty in variable's states
combinatorics and machine learning. The definition can be derived from a set of axioms establishing that entropy should be a measure of how informative the average
Entropy_(information_theory)
Mathematical proposition equivalent to the axiom of choice
contains at least one maximal element. The lemma was proven (assuming the axiom of choice) by Kazimierz Kuratowski in 1922 and independently by Max Zorn
Zorn's_lemma
Whole number
so forth. Grammatical number Mathematical constant Number theory Peano axioms No long count date actually using the number 0 has been found before the
0
Algebraic structure with addition, multiplication, and division
operations are required to satisfy the following properties, called field axioms. These axioms are required to hold for all elements a, b, c of the field F: Associativity
Field_(mathematics)
American professional wrestler (born 1999)
Last Man Standing match for a shot at the NXT Title, Nathan Frazer and Axiom vs. The Street Profits for the NXT Tag Titles, Giulia vs. Chelsea Green"
Sol_Ruca
American football player and wrestler (born 1996)
Michelle McCool Debut April 13, 2024 Football career Profile Position Defensive end Personal information Listed height 6 ft 4 in (1.93 m) Listed weight 260 lb
Anthony_Luke
Logic formalism
precondition axioms, one for each action Successor state axioms, one for each fluent Axioms describing the world in various situations The foundational axioms of
Situation_calculus
Figure of speech
truth. Aphorisms are distinct from axioms: aphorisms generally originate from experience and custom, whereas axioms are self-evident truths and therefore
Aphorism
System of mathematical set theory
comprehension, the following axioms are the same as those for NBG, inessential details aside. The symbolic versions of the axioms employ the following notational
Morse–Kelley_set_theory
2026 Lucha Libre AAA Worldwide event
Toro's eyes with a hairspray, allowing Axiom to take advantage and eliminate them via pinfall. Bravo and Axiom later worked together against the Tokyo
Triplemanía_34
Probability distribution modeling a coin toss which need not be fair
− p . {\displaystyle {\begin{aligned}\Pr(X{=}1)&=p,\\\Pr(X{=}0)&=q=1-p.\end{aligned}}} The probability mass function f {\displaystyle f} of this distribution
Bernoulli_distribution
Economic system free from interventionism
regulations). Applied to a system of thought, laissez-faire implies the following axioms: "the individual is the basic unit in society, i.e., the standard of measurement
Laissez-faire
travel, tourism, insurance
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travel, tourism, insurance