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Grammar Of Assent
''An Essay in Aid of a Grammar of Assent'' (commonly abbreviated to the last three words) is John Henry Newman's seminal book on the philosophy of faith."NEWMAN, John Henry", in ''Chambers Biographical Dictionary'' (1990), Edinburgh: Chambers. Completed in 1870, the book took Newman 20 years to write, he confided to friends. Newman's aim was to show that the scientific standards for evidence and assent are too narrow and inapplicable in concrete life. He argued that logic and its conclusions are not transferable to real life decision making as such. As a result, it is inappropriate to judge the validity of assent in concrete faith by conventional logical standards because paper logic is unequal to the task. "Logic is loose at both ends," he said, meaning that the process of logic initially depends on restrictive assumptions and is thus unable to fit its conclusions neatly into real world situations. Aim and content The ''Grammar'' was an apologia for faith. Newman was concer ...
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John Henry Newman
John Henry Newman (21 February 1801 – 11 August 1890) was an English theologian, academic, intellectual, philosopher, polymath, historian, writer, scholar and poet, first as an Anglican ministry, Anglican priest and later as a Catholic priest and Cardinal (Catholic Church), cardinal, who was an important and controversial figure in the religious history of England in the 19th century. He was known nationally by the mid-1830s, and Canonisation of John Henry Newman, was canonised as a saint in the Catholic Church in 2019. Originally an Evangelical Anglicanism, evangelical academic at the University of Oxford and priest in the Church of England, Newman became drawn to the high-church tradition of Anglicanism. He became one of the more notable leaders of the Oxford Movement, an influential and controversial grouping of Anglicans who wished to return to the Church of England many Catholicity, Catholic beliefs and liturgical rituals from before the English Reformation. In th ...
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Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usually un ...
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Probabiliorism
In Catholic moral theology, probabilism provides a way of answering the question about what to do when one does not know what to do. Probabilism proposes that one can follow an authoritative opinion regarding whether an act may be performed morally, even though the opposite opinion is more probable. (An opinion is probable when, by reason of intrinsic or extrinsic arguments, it is able to gain the assent of many prudent men.) It was first formulated in 1577 by Bartholomew Medina, OP, who taught at Salamanca. Formulation and opposed views Probabilism is a way of approaching difficult matters of conscience. In such cases, according to probabilism, one may safely follow a doctrine approved by a recognized Doctor of the Church, even if the opposite opinion is supported by—or "more probable" as judged by—other criteria, such as those of science or other authoritative sources. A more radical view, "minus probabilissimus", holds that an action is permissible if a single opinion a ...
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Development Of Doctrine
Development of doctrine is a term used by John Henry Newman and other theologians influenced by him to describe the way Catholic teaching has become more detailed and explicit over the centuries, while later statements of doctrine remain consistent with earlier statements. Newman's Formulation The term was introduced in Newman's 1845 book ''An Essay on the Development of Christian Doctrine''. Newman used the idea of development of doctrine to defend Catholic teaching from attacks by some Anglicans and other Protestants, who saw certain elements in Catholic teaching as corruptions or innovations. He relied on an extensive study of early Church Fathers in tracing the elaboration or development of doctrine which he argued was in some way implicitly present in the Divine Revelation in Sacred Scripture and Tradition which was present from the beginnings of the Church. He argued that various Catholic doctrines not accepted by Protestants (such as devotion to the Blessed Virgin Mary, ...
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Bayesian Probability
Bayesian probability is an Probability interpretations, interpretation of the concept of probability, in which, instead of frequentist probability, frequency or propensity probability, propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief. The Bayesian interpretation of probability can be seen as an extension of propositional logic that enables reasoning with Hypothesis, hypotheses; that is, with propositions whose truth value, truth or falsity is unknown. In the Bayesian view, a probability is assigned to a hypothesis, whereas under frequentist inference, a hypothesis is typically tested without being assigned a probability. Bayesian probability belongs to the category of evidential probabilities; to evaluate the probability of a hypothesis, the Bayesian probabilist specifies a prior probability. This, in turn, is then updated to a posterior probability in the light of new, re ...
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Bayes' Theorem
In probability theory and statistics, Bayes' theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes, describes the probability of an event, based on prior knowledge of conditions that might be related to the event. For example, if the risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to an individual of a known age to be assessed more accurately (by conditioning it on their age) than simply assuming that the individual is typical of the population as a whole. One of the many applications of Bayes' theorem is Bayesian inference, a particular approach to statistical inference. When applied, the probabilities involved in the theorem may have different probability interpretations. With Bayesian probability interpretation, the theorem expresses how a degree of belief, expressed as a probability, should rationally change to account for the availability of related evidence. Bayesian inference is fundamental to Bayesia ...
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Thomas Bayes
Thomas Bayes ( ; 1701 7 April 1761) was an English statistician, philosopher and Presbyterian minister who is known for formulating a specific case of the theorem that bears his name: Bayes' theorem. Bayes never published what would become his most famous accomplishment; his notes were edited and published posthumously by Richard Price. Biography Thomas Bayes was the son of London Presbyterian minister Joshua Bayes, and was possibly born in Hertfordshire. He came from a prominent Nonconformist (Protestantism), nonconformist family from Sheffield. In 1719, he enrolled at the University of Edinburgh to study logic and theology. On his return around 1722, he assisted his father at the latter's chapel in London before moving to Royal Tunbridge Wells, Tunbridge Wells, Kent, around 1734. There he was minister of the Mount Sion Chapel, until 1752. He is known to have published two works in his lifetime, one theological and one mathematical: #''Divine Benevolence, or an Attempt to ...
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Logical Truth
Logical truth is one of the most fundamental concepts in logic. Broadly speaking, a logical truth is a statement which is true regardless of the truth or falsity of its constituent propositions. In other words, a logical truth is a statement which is not only true, but one which is true under all interpretations of its logical components (other than its logical constants). Thus, logical truths such as "if p, then p" can be considered tautologies. Logical truths are thought to be the simplest case of statements which are analytically true (or in other words, true by definition). All of philosophical logic can be thought of as providing accounts of the nature of logical truth, as well as logical consequence. Logical truths are generally considered to be ''necessarily true''. This is to say that they are such that no situation could arise in which they could fail to be true. The view that logical statements are necessarily true is sometimes treated as equivalent to saying that log ...
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Phronesis
''Phronesis'' ( grc, φρόνησῐς, phrónēsis), translated into English by terms such as prudence, practical virtue and practical wisdom, or, colloquially, sense (as in "good sense", "horse sense") is an ancient Greek word for a type of wisdom or intelligence relevant to practical action. It implies both good judgment and excellence of character and habits, and was a common topic of discussion in ancient Greek philosophy, in ways that are still influential today. In Aristotelian ethics, for example in the ''Nicomachean Ethics'', the concept is distinguished from other words for wisdom and intellectual virtues – such as ''episteme'' and ''techne'' – because of its practical character. The traditional Latin translation was , the source of the English word "prudence". Among other proposals, Thomas McEvilley has proposed that the best translation is "mindfulness". Ancient Greek philosophy Plato In some of Plato's dialogues, Socrates proposes that ''phronēsis'' is a nec ...
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Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of philosophy within the Lyceum and the wider Aristotelian tradition. His writings cover many subjects including physics, biology, zoology, metaphysics, logic, ethics, aesthetics, poetry, theatre, music, rhetoric, psychology, linguistics, economics, politics, meteorology, geology, and government. Aristotle provided a complex synthesis of the various philosophies existing prior to him. It was above all from his teachings that the West inherited its intellectual lexicon, as well as problems and methods of inquiry. As a result, his philosophy has exerted a unique influence on almost every form of knowledge in the West and it continues to be a subject of contemporary philosophical discussion. Little is known about his life. Aristotle was born in th ...
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Calculus
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus and integral calculus; the former concerns instantaneous Rate of change (mathematics), rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus, and they make use of the fundamental notions of convergence (mathematics), convergence of infinite sequences and Series (mathematics), infinite series to a well-defined limit (mathematics), limit. Infinitesimal calculus was developed independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including (ε, δ)-definition of limit, codify ...
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