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Indeterminacy (other)
Indeterminacy or underdeterminacy may refer to: Law * Indeterminacy debate in legal theory * Underdeterminacy (law) Linguistics * Indeterminacy of translation * Referential indeterminacy Philosophy *Indeterminacy (philosophy) *Indeterminism, the belief that not all events are causally determined *Deterministic system (philosophy) *Underdetermination Physics *Quantum indeterminacy *Uncertainty principle *Scientific determinism Other * Indeterminacy (literature) a literary term * Indeterminacy in computation (other) * Indeterminate system * Aleatoric music and indeterminacy in music * Statically indeterminate * Underdetermined system * In set theory and game theory, the opposite of determinacy * In biology, indeterminate growth of an organism See also * Nondeterminism (other) * Determinism (other) *Indeterminate (other) Indeterminate may refer to: In mathematics * Indeterminate (variable), a symbol that is treated as a variable * Indete ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indeterminacy Debate In Legal Theory
The indeterminacy debate in legal theory can be summed up as follows: Can the law constrain the results reached by adjudicators in legal disputes? Some members of the critical legal studies movement — primarily legal academics in the United States — argued that the answer to this question is "no." Another way to state this position is to suggest that disputes cannot be resolved with clear answers, and thus there is at least some amount of uncertainty in legal reasoning and its application to disputes. A given body of legal doctrine is said to be "indeterminate" by demonstrating that every legal rule in that body of legal doctrine is opposed by a counterrule that can be used in a process of legal reasoning. The ''indeterminacy thesis'' emerged as a left reply to Ronald Dworkin's "right answer" thesis. In its strongest form it is an extreme version of legal realism. It argues that nothing is law until it has been promulgated by an official - either a judge or the legislature. Fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indeterminacy In Computation (other)
Indeterminacy is a property of formal systems that evolve in time (often conceptualized as a computation), in which complete information about the ''internal'' state of the system at some point in time admits multiple future trajectories. In simpler terms, if such a system is returned to the same initial condition—or two identical copies of the system are started at the same time—they won't with certainty produce the same behaviour, as some element of chance is able to enter the system from outside its formal specification. In some cases the indeterminacy arises from the laws of physics, in other cases it leaks in from the abstract model, and sometimes the model includes an explicit source of indeterminacy, as with deliberately randomized algorithms, for the benefits that this provides. Disambiguation Indeterminacy in computation may refer to: * quantum indeterminacy in quantum computers * nondeterministic finite automata * nondeterministic algorithm In concurrency: * inde ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nondeterminism (other)
Nondeterminism or nondeterministic may refer to: Computer science *Nondeterministic programming *Nondeterministic algorithm *Nondeterministic model of computation **Nondeterministic finite automaton **Nondeterministic Turing machine *Indeterminacy in computation Other *Indeterminism Indeterminism is the idea that events (or certain events, or events of certain types) are not caused, or are not caused deterministically. It is the opposite of determinism and related to chance. It is highly relevant to the philosophical pr ... (philosophy) See also * Indeterminacy (other) {{Disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indeterminate Growth
In biology and botany, indeterminate growth is growth that is not terminated, in contrast to determinate growth that stops once a genetically predetermined structure has completely formed. Thus, a plant that grows and produces flowers and fruit until killed by frost or some other external factor is called indeterminate. For example, the term is applied to tomato varieties that grow in a rather gangly fashion, producing fruit throughout the growing season. In contrast, a determinate tomato plant grows in a more bushy shape and is most productive for a single, larger harvest, then either tapers off with minimal new growth or fruit or dies. Inflorescences In reference to an inflorescence (a shoot specialised for bearing flowers, and bearing no leaves other than bracts), an indeterminate type (such as a raceme) is one in which the first flowers to develop and open are from the buds at the base, followed progressively by buds nearer to the growing tip. The growth of the shoot is not ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Determinacy
Determinacy is a subfield of game theory and set theory that examines the conditions under which one or the other player of a game has a winning strategy, and the consequences of the existence of such strategies. Alternatively and similarly, "determinacy" is the property of a game whereby such a strategy exists. Determinacy was introduced by Gale and Stewart in 1950, under the name determinateness. The games studied in set theory are usually Gale–Stewart games—two-player games of perfect information in which the players make an infinite sequence of moves and there are no draws. The field of game theory studies more general kinds of games, including games with draws such as tic-tac-toe, chess, or infinite chess, or games with imperfect information such as poker. Basic notions Games The first sort of game we shall consider is the two-player game of perfect information of length ω, in which the players play natural numbers. These games are often called Gale–St ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Underdetermined System
In mathematics, a system of linear equations or a system of polynomial equations is considered underdetermined if there are fewer equations than unknowns (in contrast to an overdetermined system, where there are more equations than unknowns). The terminology can be explained using the concept of constraint counting. Each unknown can be seen as an available degree of freedom. Each equation introduced into the system can be viewed as a constraint that restricts one degree of freedom. Therefore, the critical case (between overdetermined and underdetermined) occurs when the number of equations and the number of free variables are equal. For every variable giving a degree of freedom, there exists a corresponding constraint removing a degree of freedom. An indeterminate system additional constraints that are not equations, such as restricting the solutions to integers. The underdetermined case, by contrast, occurs when the system has been underconstrained—that is, when the unknown ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Statically Indeterminate
In statics and structural mechanics, a structure is statically indeterminate when the equilibrium equations force and moment equilibrium conditions are insufficient for determining the internal forces and reactions on that structure. Mathematics Based on Newton's laws of motion, the equilibrium equations available for a two-dimensional body are: : \sum \mathbf F = 0 : the vectorial sum of the forces acting on the body equals zero. This translates to: :: \sum \mathbf H = 0 : the sum of the horizontal components of the forces equals zero; :: \sum \mathbf V = 0 : the sum of the vertical components of forces equals zero; : \sum \mathbf M = 0 : the sum of the moments (about an arbitrary point) of all forces equals zero. In the beam construction on the right, the four unknown reactions are , , , and . The equilibrium equations are: : \begin \sum \mathbf V = 0 \quad & \implies \quad \mathbf V_A - \mathbf F_v + \mathbf V_B + \mathbf V_C = 0 \\ \sum \mathbf H = 0 \quad & \implies ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indeterminacy In Music
Indeterminacy is a composing approach in which some aspects of a musical work are left open to chance or to the interpreter's free choice. John Cage, a pioneer of indeterminacy, defined it as "the ability of a piece to be performed in substantially different ways". The earliest significant use of music indeterminacy features is found in many of the compositions of American composer Charles Ives in the early 20th century. Henry Cowell adopted Ives's ideas during the 1930s, in works allowing players to arrange the fragments of music in a number of different possible sequences. Beginning in the early 1950s, the term came to refer to the (mostly American) movement which grew up around Cage. This group included the other members of the New York School. In Europe, following the introduction of the expression " aleatory music" by Werner Meyer-Eppler, the French composer Pierre Boulez was largely responsible for popularizing the term. Definition Describing indeterminacy, composer John C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aleatoric Music
Aleatoric music (also aleatory music or chance music; from the Latin language, Latin word ''alea'', meaning "dice") is music in which some Aspect of music, element of the composition is left to Randomness, chance, and/or some primary element of a composed work's realization is left to the determination of its performer(s). The term is most often associated with procedures in which the chance element involves a relatively limited number of possibilities. The term became known to European composers through lectures by acoustics, acoustician Werner Meyer-Eppler at the Darmstadt New Music Summer School, Darmstadt International Summer Courses for New Music in the beginning of the 1950s. According to his definition, "a process is said to be aleatoric ... if its course is determined in general but depends on chance in detail". Through a confusion of Meyer-Eppler's German terms ''Aleatorik'' (noun) and ''aleatorisch'' (adjective), his translator created a new English word, "aleatoric" (ra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indeterminate System
In mathematics, particularly in number theory, an indeterminate system has fewer equations than unknowns but an additional a set of constraints on the unknowns, such as restrictions that the values be integers. In modern times indeterminate equations are often called Diophantine equations. Examples Linear indeterminate equations An example linear indeterminate equation arises from imagining two equally rich men, one with 5 rubies, 8 sapphires, 7 pearls and 90 gold coins; the other has 7, 9, 6 and 62 gold coins; find the prices (y, c, n) of the respective gems in gold coins. As they are equally rich: 5y + 8c + 7n + 90 = 7y + 9c + 6n + 62 Bhāskara II gave an general approach to this kind of problem by assigning a fixed integer to one (or N-2 in general) of the unknowns, e.g. n=1, resulting a series of possible solutions like (y, c, n)=(14, 1, 1), (13, 3, 1). For given integers , and , the general linear indeterminant equation is ax + by = n with unknowns and restricted to in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indeterminacy (literature)
Indeterminacy in literature is a situation in which components of a text require the reader to make their own decisions about the text's meaning. (Baldick 2008) This can occur if the text's ending does not provide full closure and there are still questions to be answered, or when "the language is such that the author’s original intention is not known". Baldick further describes the concept as "a principle of uncertainty invoked to deny the existence of any final or determinate meaning that could bring to an end the play of meaning between the elements of a text". Therefore, indeterminacy is the belief that it is not possible to decide entirely what a word means when used in a certain circumstance, so the meaning of the whole text must remain open to interpretation. Indeterminacy is not ambiguity In literature, indeterminacy is sometimes confused with the idea of ambiguity, as the two are very alike. However, as opposed to ambiguity, indeterminacy is "applied by its practitioners ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Underdeterminacy (law)
In American law, underdeterminacy is a concept particularly relevant to originalism. It is distinct from ''indeterminacy''. The problem arises because even having established the original meaning of a clause of the Constitution, "''knowing the meaning of these words only takes us so far in resolving current cases and controversies. Due either to ambiguity or vagueness, the original meaning of the text may not always determine a unique rule of law to be applied to a particular case or controversy. While not ''indeterminate'', the original meaning can be ''underdeterminate" ( R. Barnett, The original meaning of the Commerce Clause', text accompanying note 37). Underdeterminacy is crucial to originalism, because it creates an important question of what an originalist judge should do in cases of underdeterminacy; different scholars and judges have proposed various alternatives, ranging from using tradition to fill in the gaps (Scalia Antonin Gregory Scalia (March 11, 1936&nbs ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
