consistent - Article Index

Encyclopedia - Crispin Wright: Encyclopedia - Crispin Wright
Crispin Wright (born 1942) is a British philosopher, who has written on neo-Fregean philosophy of mathematics, Wittgenstein's later philo...   » Read the article

Encyclopedia - Cut-elimination Theorem: Encyclopedia - Cut-elimination Theorem
The cut-elimination theorem is the central result establishing the significance of the sequent calculus. It was originally proved by Gerh...   » Read the article

Encyclopedia - Theory: Encyclopedia - Theory
Theory has a number of distinct meanings in different fields of knowledge, depending on the context and their methodologies. Theory - Ety...   » Read the article

Encyclopedia - Consistency: Encyclopedia - Consistency
Consistency has three technical meanings: In mathematics and logic, as well as in theoretical physics, it refers to the proposition that...   » Read the article

Encyclopedia - Efficiency Statistics: Encyclopedia Ii - Efficiency Statistics - Examples
Consider a sample of size N drawn from a normal distribution of mean μ and unit variance (i.e., ). The sample mean, , of the sample , de...   » Read the article

Encyclopedia - Exponential Family: Encyclopedia Ii - Exponential Family - Maximum Entropy Derivation
The exponential family arises naturally as the answer to the following question: what is the maximum entropy distribution consistent with...   » Read the article

Encyclopedia - Model Theory: Encyclopedia Ii - Model Theory - Definition
A model is formally defined in the context of some language L, which consists of a set of constant symbols, a set of relation symbols eac...   » Read the article

Encyclopedia - Physical Paradox: Encyclopedia Ii - Physical Paradox - Paradoxes Relating To False Assumptions
Certain physical paradoxes defy common sense predictions about physical situations. In some cases, this is the result of modern physics c...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Second Incompleteness Theorem
Gödel's second incompleteness theorem can be stated as follows: For any formal theory T including basic arithmetical truths and also ce...   » Read the article

Encyclopedia - Tom Regan: Encyclopedia Ii - Tom Regan - Animal Rights
In The Case for Animal Rights, Regan argues that non-human animals are the bearers of moral rights. His philosophy lies broadly within th...   » Read the article

Encyclopedia - Systems Architect: Encyclopedia Ii - Systems Architect - Background
Large systems architecture was developed as a way to handle systems too large for one person to conceive of, let alone design. Systems of...   » Read the article

Encyclopedia - Hardware Architect: Encyclopedia Ii - Hardware Architect - Background
Large systems architecture was developed as a way to handle systems too large for one person to conceive of, let alone design. Systems of...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Second Incompleteness Theorem
Gödel's second incompleteness theorem can be stated as follows: For any formal theory T including basic arithmetical truths and also ce...   » Read the article

Encyclopedia - Forcing Mathematics: Encyclopedia Ii - Forcing Mathematics - The Countable Chain Condition
An antichain A of P is a subset such that if p and q are in A, then p and q are incompatible (written p ⊥ q), meaning there is no r in ...   » Read the article

Encyclopedia - Epistemic Theories Of Truth: Encyclopedia Ii - Epistemic Theories Of Truth - Perspectivist Views
Turning to perspectivalism (relativism), a proposition is only ever true relative to something like a perspective. There are four main ve...   » Read the article

Encyclopedia - Theory: Encyclopedia Ii - Theory - Science
In scientific usage, a theory does not mean an unsubstantiated guess or hunch, as it does in other contexts. Neither is a scientific theo...   » Read the article

Encyclopedia - Sqlite: Encyclopedia Ii - Sqlite - Features
The library implements most of SQL-92 standard, including transactions that are atomic, consistent, isolated, and durable (ACID), trigger...   » Read the article

Encyclopedia - Theory: Encyclopedia Ii - Theory - Science
In scientific usage, a theory does not mean an unsubstantiated guess or hunch, as it often does in other contexts. Scientific theories ar...   » Read the article

Encyclopedia - Instrumental Variable: Encyclopedia Ii - Instrumental Variable - Mathematics
When x and ε are uncorrelated, the second term goes to zero in the limit and the estimator is consistent. When x and ε are correlated, ...   » Read the article

Article - Popular Topic Pages Ii - 26
This is a sitemap for popular topic pages at Global Oneness. Click on a link and you will find multiple articles related to the topic: ...   » Read the article

Article - Popular Topic Pages Ii - 18
This is a sitemap for popular topic pages at Global Oneness. Click on a link and you will find multiple articles related to the topic: ...   » Read the article

Encyclopedia - Forcing Mathematics: Encyclopedia Ii - Forcing Mathematics - Random Reals
In the Borel sets ( Bor(I) , ⊆ , I ) example, the generic filter converges to a real number r, called a random real. A name for the dec...   » Read the article

Encyclopedia - Forcing Mathematics: Encyclopedia Ii - Forcing Mathematics - Easton Forcing
The exact value of the continuum in the above Cohen model, and variants like Fin(ω × κ , 2) for cardinals κ in general, was worked ou...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Meaning Of Gödel's Theorems
Gödel's theorems are theorems in first-order logic, and must ultimately be understood in that context. In formal logic, both mathematica...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Proof Sketch For The First Theorem
The main problem in fleshing out the above mentioned proof idea is the following: in order to construct a statement p that is equivalent ...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Proof Sketch For The Second Theorem
Let p stand for the undecidable sentence constructed above, and let's assume that the consistency of the system can be proven from within...   » Read the article

Encyclopedia - Sqlite: Encyclopedia Ii - Sqlite - Language Bindings
SQLite is embedded in the REALbasic framework, enabling applications developed in REALbasic for Windows, Linux or Mac OS X to use the SQL...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Minds And Machines
Many scholars have debated over what Gödel's incompleteness theorem implies about human intelligence. Much of the debate centers on whet...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Discussion And Implications
The incompleteness results affect the philosophy of mathematics, particularly viewpoints like formalism, which uses formal logic to defin...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Gentzen's Theorem
In 1936 Gerhard Gentzen proved the consistency of first order arithmetic. In itself, the result is rather trivial, since the consistency ...   » Read the article

Encyclopedia - Forcing Mathematics: Encyclopedia Ii - Forcing Mathematics - Cohen Forcing
The simplest nontrivial forcing poset is ( Fin(ω,2) , ⊇ , 0 ), the finite partial functions from ω to 2={0,1} under reverse inclusion...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Examples Of Undecidable Statements
It should be noted that there are two distinct senses of the word "undecidable" in use. The first of these is the sense used in relation ...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - First Incompleteness Theorem
Gödel's first incompleteness theorem is perhaps the most celebrated result in mathematical logic. It basically says that: For any consi...   » Read the article

Encyclopedia - Efficiency Statistics: Encyclopedia Ii - Efficiency Statistics - Efficient Estimator
If an estimator of a parameter, , attains e(T) = 1 for all values of the parameter, then the estimator is called efficient. Equivalently,...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Examples Of Undecidable Statements
It should be noted that there are two distinct senses of the word "undecidable" in use. The first of these is the sense used in relation ...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Discussion And Implications
The incompleteness results affect the philosophy of mathematics, particularly viewpoints like formalism, which uses formal logic to defin...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Minds And Machines
Many scholars have debated over what Gödel's incompleteness theorem implies about human intelligence. Much of the debate centers on whet...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Meaning Of Gödel's Theorems
Gödel's theorems are theorems in first-order logic, and must ultimately be understood in that context. In formal logic, both mathematica...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Gentzen's Theorem
In 1936 Gerhard Gentzen proved the consistency of first order arithmetic. In itself, the result is rather trivial, since the consistency ...   » Read the article

Encyclopedia - Theory: Encyclopedia Ii - Theory - Mathematics
In mathematics, the word theory is used informally to refer to certain distinct bodies of knowledge about mathematics. This knowledge con...   » Read the article

Encyclopedia - Epistemic Theories Of Truth: Encyclopedia Ii - Epistemic Theories Of Truth - Verificationist Views
Verificationism about truth comes in three main kinds: Epistemic theories of truth - Positivism. The process of verification involves t...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - First Incompleteness Theorem
Gödel's first incompleteness theorem is perhaps the most celebrated result in mathematical logic. It basically says that: For any consi...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Proof Sketch For The First Theorem
The main problem in fleshing out the above mentioned proof idea is the following: in order to construct a statement p that is equivalent ...   » Read the article

Encyclopedia - Gödel's Incompleteness Theorem: Encyclopedia Ii - Gödel's Incompleteness Theorem - Proof Sketch For The Second Theorem
Let p stand for the undecidable sentence constructed above, and let's assume that the consistency of the system can be proven from within...   » Read the article

Encyclopedia - Forcing Mathematics: Encyclopedia Ii - Forcing Mathematics - Forcing Posets
A forcing poset is an ordered triple (P, ≤, 1) where "≤" is a reflexive, transitive binary relation on P, and 1 is a largest elemen...   » Read the article

Encyclopedia - Forcing Mathematics: Encyclopedia Ii - Forcing Mathematics - Countable Transitive Models And Generic Filters
The key step in forcing is, given a ZFC universe V, to find appropriate G not in V. The resulting class of all interpretations of P-names...   » Read the article

Encyclopedia - Forcing Mathematics: Encyclopedia Ii - Forcing Mathematics - Forcing
Given a generic filter G⊆P, one proceeds as follows. The subclass of P-names in M is denoted M(P). Let M[G]={val(u,G):u∈M(P)}. To red...   » Read the article

Encyclopedia - Exponential Family: Encyclopedia Ii - Exponential Family - Role In Statistics
Classical frequentist hypothesis testing is seriously impeded in the case of likelihoods which are not exponential families because of th...   » Read the article

Encyclopedia - Physical Paradox: Encyclopedia Ii - Physical Paradox - Causality Paradoxes
A set of similar paradoxes occurs within the area of physics involving arrow of time and causality. One of these, the grandfather paradox...   » Read the article

Encyclopedia - Model Theory: Encyclopedia Ii - Model Theory - Theorems Of Model Theory
Gödel's completeness theorem (not to be confused with his incompleteness theorems) says that a theory has a model if and only if it is c...   » Read the article

Encyclopedia - Physical Paradox: Encyclopedia Ii - Physical Paradox - Paradoxes Relating To Unphysical Mathematical Idealizations
A common paradox occurs with mathematical idealizations such as point sources which describe physical phenomena well at distant or global...   » Read the article

Encyclopedia - Physical Paradox: Encyclopedia Ii - Physical Paradox - Quantum Mechanical Paradoxes
A significant set of physical paradoxes are associated with the privileged position of the observer in quantum mechanics. Two of the most...   » Read the article

Encyclopedia - Forcing Mathematics: Encyclopedia Ii - Forcing Mathematics - Consistency
The above can be summarized by saying the fundamental consistency result is that given a forcing poset P, we may assume that there exists...   » Read the article