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Good And Necessary Consequence
The phrase good and necessary consequence was used more commonly several centuries ago to express the idea which would today fall under the general heading of logic; that is, to reason validly by logical deduction or better, deductive reasoning. Even more particularly, it would be understood in terms of term logic, also known as traditional logic. Many today would also consider good and necessary consequence to be part of formal logic, which deals with the ''form'' (or logical form) of arguments as to which are valid or invalid. In this context, one may better understand the word "good" in the phrase "good and necessary consequence" more technically as intending a "valid argument form." One of the best recognized articulations of the authoritative and morally binding use of good and necessary consequence to make deductions from Scripture appears in probably the most famous of Protestant confessions of faith, the Westminster Confession of Faith (1646), Chapter 1, sec. 6, as ...
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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 usual ...
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Deductive Reasoning
Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if it is impossible for the premises to be true and the conclusion to be false. For example, the inference from the premises "all men are mortal" and "Socrates is a man" to the conclusion "Socrates is mortal" is deductively valid. An argument is '' sound'' if it is ''valid'' and all its premises are true. Some theorists define deduction in terms of the intentions of the author: they have to intend for the premises to offer deductive support to the conclusion. With the help of this modification, it is possible to distinguish valid from invalid deductive reasoning: it is invalid if the author's belief about the deductive support is false, but even invalid deductive reasoning is a form of deductive reasoning. Psychology is interested in deductive reasoning as a psychological process, i.e. how people ''actually'' draw ...
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Term Logic
In philosophy, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly by his followers, the Peripatetics. It was revived after the third century CE by Porphyry's Isagoge. Term logic revived in medieval times, first in Islamic logic by Alpharabius in the tenth century, and later in Christian Europe in the twelfth century with the advent of new logic, remaining dominant until the advent of predicate logic in the late nineteenth century. However, even if eclipsed by newer logical systems, term logic still plays a significant role in the study of logic. Rather than radically breaking with term logic, modern logics typically expand it, so to understand the newer systems, one must be acquainted with the earlier one. Aristotle's system Aristotle's logical work is collected in the six texts that are collectively known as th ...
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Argument Form
In logic, logical form of a statement is a precisely-specified semantic version of that statement in a formal system. Informally, the logical form attempts to formalize a possibly ambiguous statement into a statement with a precise, unambiguous logical interpretation with respect to a formal system. In an ideal formal language, the meaning of a logical form can be determined unambiguously from syntax alone. Logical forms are semantic, not syntactic constructs; therefore, there may be more than one string that represents the same logical form in a given language. The logical form of an argument is called the argument form of the argument. History The importance of the concept of form to logic was already recognized in ancient times. Aristotle, in the '' Prior Analytics'', was probably the first to employ variable letters to represent valid inferences. Therefore, Jan Łukasiewicz claims that the introduction of variables was "one of Aristotle's greatest inventions." Accordi ...
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Validity (logic)
In logic, specifically in deductive reasoning, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. It is not required for a valid argument to have premises that are actually true, but to have premises that, if they were true, would guarantee the truth of the argument's conclusion. Valid arguments must be clearly expressed by means of sentences called well-formed formulas (also called ''wffs'' or simply ''formulas''). The validity of an argument can be tested, proved or disproved, and depends on its logical form. Arguments In logic, an argument is a set of statements expressing the ''premises'' (whatever consists of empirical evidences and axiomatic truths) and an ''evidence-based conclusion.'' An argument is ''valid'' if and only if it would be contradictory for the conclusion to be false if all of the premises are true. Validity doesn't require the truth of the premises, ins ...
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The Bible
The Bible (from Koine Greek , , 'the books') is a collection of religious texts or scriptures that are held to be sacred in Christianity, Judaism, Samaritanism, and many other religions. The Bible is an anthologya compilation of texts of a variety of forms originally written in Hebrew, Aramaic, and Koine Greek. These texts include instructions, stories, poetry, and prophecies, among other genres. The collection of materials that are accepted as part of the Bible by a particular religious tradition or community is called a biblical canon. Believers in the Bible generally consider it to be a product of divine inspiration, but the way they understand what that means and interpret the text can vary. The religious texts were compiled by different religious communities into various official collections. The earliest contained the first five books of the Bible. It is called the Torah in Hebrew and the Pentateuch (meaning ''five books'') in Greek; the second oldest part was a col ...
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Protestant
Protestantism is a Christian denomination, branch of Christianity that follows the theological tenets of the Reformation, Protestant Reformation, a movement that began seeking to reform the Catholic Church from within in the 16th century against what its followers perceived to be growing Criticism of the Catholic Church, errors, abuses, and discrepancies within it. Protestantism emphasizes the Christian believer's justification by God in faith alone (') rather than by a combination of faith with good works as in Catholicism; the teaching that Salvation in Christianity, salvation comes by Grace in Christianity, divine grace or "unmerited favor" only ('); the Universal priesthood, priesthood of all faithful believers in the Church; and the ''sola scriptura'' ("scripture alone") that posits the Bible as the sole infallible source of authority for Christian faith and practice. Most Protestants, with the exception of Anglo-Papalism, reject the Catholic doctrine of papal supremacy, ...
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Confessions Of Faith
A creed, also known as a confession of faith, a symbol, or a statement of faith, is a statement of the shared beliefs of a community (often a religious community) in a form which is structured by subjects which summarize its core tenets. The earliest known creed in Christianity, " Jesus is Lord", originated in the writings of Paul the Apostle. One of the most widely used Christian creeds is the Nicene Creed, first formulated in AD 325 at the First Council of Nicaea. It was based on Christian understanding of the canonical gospels, the letters of the New Testament and, to a lesser extent, the Old Testament. Affirmation of this creed, which describes the Trinity, is generally taken as a fundamental test of orthodoxy for most Christian denominations, and was historically purposed against Arianism. A shorter version of the creed, called the Apostles' Creed, is nowadays the most used version in Christian services. Some Christian denominations do not use any of those creeds. A ...
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Westminster Confession Of Faith
The Westminster Confession of Faith is a Reformed confession of faith. Drawn up by the 1646 Westminster Assembly as part of the Westminster Standards to be a confession of the Church of England, it became and remains the " subordinate standard" of doctrine in the Church of Scotland and has been influential within Presbyterian churches worldwide. In 1643, the English Parliament called upon "learned, godly and judicious Divines" to meet at Westminster Abbey in order to provide advice on issues of worship, doctrine, government and discipline of the Church of England. Their meetings, over a period of five years, produced the confession of faith, as well as a Larger Catechism and a Shorter Catechism. For more than three hundred years, various churches around the world have adopted the confession and the catechisms as their standards of doctrine, subordinate to the Bible. The Westminster Confession of Faith was modified and adopted by Congregationalists in England in the form ...
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Heidelberg Catechism
The Heidelberg Catechism (1563), one of the Three Forms of Unity, is a Protestant confessional document taking the form of a series of questions and answers, for use in teaching Calvinist Christian doctrine. It was published in 1563 in Heidelberg, Germany. Its original title translates to ''Catechism, or Christian Instruction, according to the Usages of the Churches and Schools of the Electoral Palatinate''. Commissioned by the prince-elector of the Electoral Palatinate, it is sometimes referred to as the "Palatinate Catechism." It has been translated into many languages and is regarded as one of the most influential of the Reformed catechisms. History Elector Frederick III, sovereign of the Electoral Palatinate from 1559 to 1576, commissioned the composition of a new Catechism for his territory. While the catechism's introduction credits the "entire theological faculty here" (at the University of Heidelberg) and "all the superintendents and prominent servants of the church"Emi ...
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Belgic Confession
The ''Confession of Faith'', popularly known as the Belgic Confession, is a doctrinal standard document to which many of the Reformed churches subscribe. The Confession forms part of the Three Forms of Unity of the Reformed Church, which are still the official subordinate standards of the Dutch Reformed Church. The confession's chief author was Guido de Brès, a preacher of the Reformed churches of the Netherlands, who died a martyr to the faith in 1567, during the Dutch Reformation. De Brès first wrote the Belgic Confession in 1559. Terminology The name ''Belgic Confession'' follows the seventeenth-century Latin designation ''Confessio Belgica''. ''Belgica'' referred to the whole of the Low Countries The term Low Countries, also known as the Low Lands ( nl, de Lage Landen, french: les Pays-Bas, lb, déi Niddereg Lännereien) and historically called the Netherlands ( nl, de Nederlanden), Flanders, or Belgica, is a coastal lowland region in N ..., both north and south, wh ...
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Term Logic
In philosophy, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly by his followers, the Peripatetics. It was revived after the third century CE by Porphyry's Isagoge. Term logic revived in medieval times, first in Islamic logic by Alpharabius in the tenth century, and later in Christian Europe in the twelfth century with the advent of new logic, remaining dominant until the advent of predicate logic in the late nineteenth century. However, even if eclipsed by newer logical systems, term logic still plays a significant role in the study of logic. Rather than radically breaking with term logic, modern logics typically expand it, so to understand the newer systems, one must be acquainted with the earlier one. Aristotle's system Aristotle's logical work is collected in the six texts that are collectively known as th ...
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