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Infinitely many tasks in finite time
A supertask is a countably infinite sequence of operations that occur sequentially within a finite interval of time. Supertasks are called hypertasks
Supertask
Philosophical puzzle
philosopher James F. Thomson, who used it to analyze the possibility of a supertask, which is the completion of an infinite number of tasks. Consider a lamp
Thomson's_lamp
Abstract mathematics problem
tries to illustrate the conceptual difficulties with the notion of a supertask, in which an infinite number of tasks are completed sequentially. The
Ross–Littlewood_paradox
of this question using set theory gives rise to the paradoxes of the supertask. Tristram Shandy, the hero of a novel by Laurence Sterne, writes his autobiography
Paradoxes_of_set_theory
System to train actors
the scale of the drama as a whole and is called, for that reason, a "supertask" (or "superobjective"). A performance consists of the inner aspects of
Stanislavski's_system
form Substitution Suffering Supererogation Supermind Superrationality Supertask Supervenience Symbol Syntax Taste Tantra Teleology Teleology in biology
List of philosophical concepts
List_of_philosophical_concepts
Set of philosophical problems
Philosophy of space and time Renormalization Ross–Littlewood paradox Supertask Zeno machine List of paradoxes "Zeno's Paradoxes | Internet Encyclopedia
Zeno's_paradoxes
Algebraic manipulation of "true" and "false"
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Boolean_algebra
Type of logical system
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
First-order_logic
Set of the elements not in a given subset
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Complement_(set_theory)
Thought experiment of infinite sets
Hilbert's paradox of the Grand Hotel (colloquially the Infinite Hotel Paradox or Hilbert's Hotel) is a thought experiment which illustrates a counterintuitive
Hilbert's paradox of the Grand Hotel
Hilbert's_paradox_of_the_Grand_Hotel
Matrioshka brain Physics of computation Programmable matter Quantum computing Supertask Transcomputational problem Sandberg, Anders (22 December 1999). "The Physics
Limits_of_computation
Subfield of mathematics
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Mathematical_logic
Hypothetical concept in astrophysics
continues to accelerate. Reversible computing – Concept in computer science Supertask – Infinitely many tasks in finite time Zeno's paradoxes – Set of philosophical
Dyson's_eternal_intelligence
Sequence of words formed by specific rules
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Formal_language
Mathematical concept for comparing objects
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Equivalence_relation
Paradox involving infinity
performs it, are all labelled "Benardete Paradoxes". These are examples of supertasks. The paradox supposes there is an infinite sequence of Reapers, each assigned
Grim_Reaper_paradox
Diagram that shows all possible logical relations between a collection of sets
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Venn_diagram
Branch of logic
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Propositional_logic
Branch of mathematics that studies sets
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Set_theory
Computation model defining an abstract machine
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Turing_machine
Mathematical concept
Infinite monkey theorem Names of large numbers Paradoxes of infinity Supertask Surreal number Allen, G Donald (2003). "3 The Emergence of Calculus".
Infinity
Hypothetical computational model
steps, and then continue take more steps. This can be thought of as a supertask where 1 2 n {\displaystyle {\frac {1}{2^{n}}}} units of time are taken
Zeno_machine
Models of computation
can complete infinitely many steps in finite time, a feat known as a supertask. Simply being able to run for an unbounded number of steps does not suffice
Hypercomputation
Logical connective AND
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Logical_conjunction
Theorem for proving more complex theorems
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Lemma_(mathematics)
Set theory concept
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Von_Neumann_universe
Standard system of axiomatic set theory
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Zermelo–Fraenkel_set_theory
Mathematical logic concept
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Contraposition
Mathematical-logic system based on functions
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Lambda_calculus
Set of all things that may be the input of a mathematical function
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Domain_of_a_function
On linear-time algorithms for graph logic
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Courcelle's_theorem
Type of cardinal number in mathematics
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Regular_cardinal
Statement that is taken to be true
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Axiom
Concept in logic
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Logical_equivalence
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Mathematical_object
Logical connective
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Material_conditional
Identities and relationships involving sets
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Algebra_of_sets
3-volume treatise on mathematics, 1910–1913
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Principia_Mathematica
Mathematical set that can be enumerated
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Countable_set
Infinite cardinal number
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Aleph_number
Mathematical set formed from two given sets
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Cartesian_product
Input to a mathematical function
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Argument_of_a_function
System of formal deduction in logic
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Hilbert_system
Proposition in mathematical logic
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Continuum_hypothesis
Finite collection of distinct objects
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Finite_set
Method of deriving conclusions
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Rule_of_inference
Basis for Euclidean geometry
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Hilbert's_axioms
Mathematical function such that every output has at least one input
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Surjective_function
Function computable with bounded loops
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Primitive_recursive_function
Type of logical argument that applies deductive reasoning
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Syllogism
Infinite set that is not countable
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Uncountable_set
Logical principle
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Law_of_excluded_middle
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Decidability of first-order theories of the real numbers
Decidability_of_first-order_theories_of_the_real_numbers
Relationship where one statement follows from another
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Logical_consequence
British philosopher (1921–1984)
devised the puzzle of Thomson's lamp, to argue against the possibility of supertasks (a word he also coined) Thomson was born in London in 1921 and graduated
James F. Thomson (philosopher)
James_F._Thomson_(philosopher)
Term in logic and deductive reasoning
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Soundness
Collection of mathematical objects
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Set_(mathematics)
Logic theorem
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Law_of_noncontradiction
Measure of algorithmic complexity
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Kolmogorov_complexity
Symbol representing a mathematical object
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Variable_(mathematics)
Theorem in mathematical logic
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Compactness_theorem
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Abstract_model_theory
Set that is not a finite set
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Infinite_set
Set theory concept
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Large_cardinal
Any one of the distinct objects that make up a set in set theory
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Element_of_a_set
Annual music festival in Rothbury, Michigan, US
Rome in Silver Sebastian Paul Slenderbodies Sohmi Star Kitchen Sunsquabi Supertask Surf Mesa Tinlicker Township Rebellion Tsuruda Underscores Uniiqu3 Vnssa
Electric_Forest
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Diagonal_intersection
Mathematical problem
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Tarski's high school algebra problem
Tarski's_high_school_algebra_problem
If and only if relation
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Logical_biconditional
Mathematical concept
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Transfinite_induction
Axioms for the natural numbers
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Peano_axioms
Mathematical operation with two operands
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Binary_operation
Russian actor and theatre director (1863–1938)
(1935), showing the inner (left) and outer (right) aspects of a role uniting in the pursuit of a character's overall "supertask" (top) in the drama.
Konstantin_Stanislavski
Characteristic of some logical systems
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Completeness_(logic)
Study of computable functions and Turing degrees
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Computability_theory
Mathematical set containing no elements
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Empty_set
Limitative results in mathematical logic
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Mathematical proof at least partially generated by computer
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Computer-assisted_proof
School of thought in philosophy of mathematics
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Logicism
Obsolete theories in natural history and natural philosophy
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
List of superseded scientific theories
List_of_superseded_scientific_theories
Summary of a mathematical proof
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Proof sketch for Gödel's first incompleteness theorem
Proof_sketch_for_Gödel's_first_incompleteness_theorem
In logic, a statement which is always true
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Tautology_(logic)
Mathematical proposition equivalent to the axiom of choice
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Zorn's_lemma
Form of mathematical proof
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Mathematical_induction
Mathematical theory of data types
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Type_theory
Paradox in set theory
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Russell's_paradox
Approach to logic
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Term_logic
System of mathematical set theory
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Von Neumann–Bernays–Gödel set theory
Von_Neumann–Bernays–Gödel_set_theory
Theory of truth in the philosophy of language
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Semantic_theory_of_truth
One-to-one correspondence
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Bijection
Mathematical use of "for all"
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Universal_quantification
Size of a possibly infinite set
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Cardinal_number
Number of arguments required by a function
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Arity
Infinite series summing alternating 1 and -1 terms
a parable involving two brothers who share a gem. Thomson's lamp is a supertask in which a hypothetical lamp is turned on and off infinitely many times
Grandi's_series
Concept in set theory
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Urelement
Attempt to persuade or to determine the truth of a conclusion
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Argument
Logical connective OR
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Logical_disjunction
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Generic_filter
Impossible task in computing
Category of sets History of logic History of mathematical logic timeline Logicism Mathematical object Philosophy of mathematics Supertask Mathematics portal
Entscheidungsproblem
SUPERTASK
SUPERTASK
SUPERTASK
SUPERTASK
Boy/Male
Teutonic Irish
Spear strength.
Girl/Female
Tamil
Chandramathi | சஂதà¯à®°à®®à®¤à®¿
As beautiful as the Moon
Boy/Male
Muslim
Abraham, Earth, Abraham, Earth a prophets name
Boy/Male
Hindu, Indian, Marathi
Shining Brightly
Girl/Female
Indian
Young Goddess
Boy/Male
English
Ermine (ferret-like mammal).
Boy/Male
Tamil
Girl/Female
Hindu, Indian
Timid
Female
English
18th century elaborated form of English Dora, DORINDA means "gift."
Boy/Male
Arabic
Rare; Precious
SUPERTASK
SUPERTASK
SUPERTASK
SUPERTASK
SUPERTASK