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Set of probability measures
a credal set is a set of probability distributions or, more generally, a set of (possibly only finitely additive) probability measures. A credal set is
Credal_set
Probabilistic graphical models based on imprecise probability
networks can be regarded as an extension of Bayesian networks, where credal sets replace probability mass functions in the specification of the local
Credal_network
Mathematical framework to model epistemic uncertainty
identifies a credal set, i.e., a convex set of probability distributions on the same domain it is defined on. More precisely, the corresponding credal set is:
Dempster–Shafer_theory
Programming paradigm
indifference. Alternatively, probabilistic answer set programming under the credal semantics allocates a credal set to every query. Its lower probability bound
Probabilistic logic programming
Probabilistic_logic_programming
Mathematical theory for handling uncertainty
as an upper probability: any possibility distribution defines a unique credal set of admissible probability distributions by K = { P ∣ ∀ S P ( S ) ≤ Π
Possibility_theory
probability Maximum likelihood Bayesian probability Principle of indifference Credal set Cox's theorem Principle of maximum entropy Information entropy Urn problems
List_of_probability_topics
Probability in decision theory
He contrasts the pignistic level, where one might take action, with the credal level, where one interprets the state of the world: The transferable belief
Pignistic_probability
theorem Cramér's theorem (large deviations) Cramér's V Craps principle Credal set Credible interval Cricket statistics Crime statistics Critical region –
List_of_statistics_articles
Model for reasoning with uncertain beliefs and evidence
of 0 or 1 as probabilities.) The TBM describes beliefs at two levels: a credal level where beliefs are entertained and quantified by belief functions,
Transferable_belief_model
Type of sensitivity analysis
straightforward. Bayesian inference Bayes' rule Imprecise probability Credal set Probability bounds analysis Maximum entropy principle Berger, J.O. (1984)
Robust_Bayesian_analysis
Concept in probability
computationally convenient kind of credal set. Whereas a credal set is defined solely in terms of the constraint F as a convex set of distributions (which automatically
Probability_box
Probability theory for low quality data
the theory of probability, including: credal sets, or sets of probability distributions previsions Random set theory Dempster–Shafer evidence theory
Imprecise_probability
Statement of belief
Universalist Association (UUA). Instead of a creed, the UUA abides by a set of principles, such as “a free and responsible search for truth and meaning”
Creed
Christian credal structure. While many had previously suspected that an original Josephus passage had been edited by a later Christian to give the credal appearance
Josephus_on_Jesus
Early Christian hymn of praise
spread throughout the world.[citation needed] The hymn then returns to its credal formula, naming Christ and recalling his birth, suffering and death, his
Te_Deum
Interpretation of probability
Bayesian epistemology Bertrand paradox—a paradox in classical probability Credal network Credence (statistics) De Finetti's game—a procedure for evaluating
Bayesian_probability
Set of ordinances and regulations made by ecclesiastical authority
historic doctrinal statement of the Lutheran Church, consisting of ten credal documents recognized as authoritative in Lutheranism since the 16th century
Canon_law
Protestant Christian denomination
existence of a triune God, and it affirmed that biblical view in the non-credal 28 Fundamental Beliefs. However, mainstream scholars are still not convinced
Seventh-day_Adventist_Church
Historic doctrinal standard of the Lutheran Church
reprinted by Concordia Publishing House.) i.e., denominational creeds and credal statements F. Bente, ed. and trans., Concordia Triglotta, (St. Louis: Concordia
Book_of_Concord
Chapter of the New Testament
salvation (freedom) offered by Jesus. For this group of Jews, the fundamental credal proposition was that "Abraham is our father" (first arm of John 8:39). The
John_8
Pentecostal denomination founded 1923
dominant Landmark Baptist views of the Church, which he believed were too credal and exclusive. With seven members from Holly Springs and Pleasant Hill Missionary
Church_of_God_of_Prophecy
Major branch of Protestantism
Ecumenical Creeds, which date to Roman times, the Book of Concord contains seven credal documents articulating Lutheran theology in the Reformation era. The doctrinal
Lutheranism
Adherents of Christianity
Christian ... has tended, in nominally Christian countries, to lose any credal significance and imply only that which is ethically praiseworthy (e.g. 'a
Christians
Abode of the dead, in various cultures
immortality. Pool (1998), Against returning to Egypt: Exposing and Resisting Credalism in the Southern Baptist Convention, p. 133, 'Various concepts of conditional
Hell
Earliest Puritan history, 1558–1603
predestinarianism, a position that Kendall contrasted with credal predestinarianism.[page needed] Kendall identified credal predestinarians as anyone who accepted the
History of the Puritans under Elizabeth I
History_of_the_Puritans_under_Elizabeth_I
Christian religious issue
Theological Seminary, the leading institution of the Old School, demanded credal subscription and dedicated a large part of its academic theology to the
Fundamentalist–modernist controversy
Fundamentalist–modernist_controversy
Restorationist nontrinitarian Christian denomination
immortality.', Pool, 'Against returning to Egypt: Exposing and Resisting Credalism in the Southern Baptist Convention', p. 133 (1998) 'However, Strack and
Christadelphians
Christian churches advocating pacifism
have historically been persecuted for failing to bear arms. Although non-credal and not explicitly pacifist, the Community of Christ (formerly known as
Peace_churches
Debate about the uniqueness of the Holocaust
Syllabus. The article outlines the "German catechism" as including these five "credal" beliefs: The Holocaust is unique because it was the unlimited Vernichtung
Catechism_debate
Christological doctrine attributed to Arius
Ursacius of Singidunum and Valens of Mursa Palladius's rule of faith Three credal statements found in fragments, subordinating the Son to the Father In 321
Arianism
Interpretation of the Trinity
and capacities. This is, in my view, all for the better. For although credally affirmed, the doctrine of the generation of the Son (and the procession
Social_trinitarianism
Syrian plateau occupied by Israel
Sivan 2008, p. 99: "The transfer of the Ghassanid to the Golan tipped credal and ethnic balance in favour of Christianity and Arabs." Sivan 2008, p. 102
Golan_Heights
Belief that most or all the dead who have ever lived will be resurrected
Gunnar af Hällström (1988). Carnis Resurrection: The Interpretation of a Credal Formula. Helsinki. p. 10. Caroline Walker Bynum (1995). The Resurrection
Universal_resurrection
International Christian communion
a magisterium nor by appeal to one founding theologian, nor by an extra-credal summary of doctrine (such as the Westminster Confession of the Presbyterian
Anglican_Communion
Ethical and moral codes taught by religious traditions
historic doctrinal statement of the Lutheran Church, consisting of ten credal documents recognized as authoritative in Lutheranism since the 16th century
Religious_law
Andalusian Muslim polymath (994–1064)
matters of creed in its first chapter, Kitab al-Tawheed, whose focus is on credal matters related to monotheism and the fundamental principles of approach
Ibn_Hazm
Christian conception of God
number of New Testament passages (e.g., John 5:22 and Acts 10:42) and later credal confessions indicate that the task of judgement is assigned to Jesus. John
God_in_Christianity
Belief that the Bible is without error
mainline Protestant denominations except for those descended from the non-credal Stone-Campbell movement. As stated by Alister E. McGrath, "An important
Biblical_inerrancy
Foundational Christian doctrine that states that Jesus rose from the dead
Hällström, Gunnar (1988). Carnis Resurrection: The Interpretation of a Credal Formula. Societas Scientiarum Fennica= Helsinki. Harrington, Daniel J. (2004)
Resurrection_of_Jesus
Rejection of the Christian doctrine of the Trinity
Christian church is the Non-Subscribing Presbyterian Church of Ireland, non-credal but Biblically based. The Society of Friends is largely Christian but again
Nontrinitarianism
Church of England prayer book
others, John Habgood, sometime Archbishop of York) as being unknown to the credal discussions of the Church, Eastern or Western, modern or ancient. The Marriage
Alternative_Service_Book
Concept of eternal life
Hällström, Gunnar (1988). Carnis Resurrection: The Interpretation of a Credal Formula. Helsinki: Societas Scientiarum Fennica. Immortality Institute (2004)
Immortality
Abrahamic monotheistic religion
– historic doctrinal standard of the Lutheran Church, consisting of ten credal documents recognized as authoritative in Lutheranism since the 16th century
Outline_of_Christianity
scholars, claiming Zoroastrianism as being "the oldest of the revealed credal religions, which has probably had more influence on mankind directly or
Culture_of_Iran
1537 work by Philip Melanchthon
Potestate et Primatu Papae), The Tractate for short, is the seventh Lutheran credal document of the Book of Concord. Philip Melanchthon, its author, completed
Treatise on the Power and Primacy of the Pope
Treatise_on_the_Power_and_Primacy_of_the_Pope
Dutch politician (1763–1840)
system of orthodoxy. Van der Palm's theology included a disinterest in credal expressions and doctrinal formulae. As teacher and preacher he preferred
Johannes Hendricus van der Palm
Johannes_Hendricus_van_der_Palm
Far-right coalition
Forum by Hope not Hate – told The Independent that while the group is not "credally defined", it opposes "globalism, cultural and non-cultural Marxism" and
London Forum (far-right group)
London_Forum_(far-right_group)
Book by Alister McGrath
instead to a classic Christian theological formulation (i.e., traditional credal Christian orthodoxy), which is a position closer to John Polkinghorne according
A_Scientific_Theology
Kritopoulos' Confession is more of a theological treatise than a brief credal statement. He discusses at some length the points on which Catholics and
Timeline of Eastern Orthodoxy in Greece (1453–1821)
Timeline_of_Eastern_Orthodoxy_in_Greece_(1453–1821)
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