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Mantiq
Early Islamic law placed importance on formulating standards of argument, which gave rise to a "novel approach to logic" ( ''manṭiq'' "speech, eloquence") in Kalam (Islamic scholasticism). However, with the rise of the Mu'tazili philosophers, who highly valued Aristotle's ''Organon'', this approach was displaced by the older ideas from Hellenistic philosophy. The works of al-Farabi, Avicenna, al-Ghazali and other Persian Muslim logicians who often criticized and corrected Aristotelian logic and introduced their own forms of logic, also played a central role in the subsequent development of European logic during the Renaissance. According to the Routledge Encyclopedia of Philosophy: Important developments made by Muslim logicians included the development of "Avicennian logic" as a replacement of Aristotelian logic. Avicenna's system of logic was responsible for the introduction of hypothetical syllogism, temporal modal logic and inductive logic. Other important developmen ...
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Al-Farabi
Abu Nasr Muhammad Al-Farabi ( fa, ابونصر محمد فارابی), ( ar, أبو نصر محمد الفارابي), known in the West as Alpharabius; (c. 872 – between 14 December, 950 and 12 January, 951)PDF version was a renowned early Islamic philosopher and jurist who wrote in the fields of political philosophy, metaphysics, ethics and logic. He was also a scientist, cosmologist, mathematician and music theorist.Ludwig W. Adamec (2009), ''Historical Dictionary of Islam'', pp.95–96. Scarecrow Press. . In Islamic philosophical tradition he was often called "the Second Teacher", following Aristotle who was known as "the First Teacher". He is credited with preserving the original Greek texts during the Middle Ages via his commentaries and treatises, and influencing many prominent philosophers, such as Avicenna and Maimonides. Through his works, he became well-known in the West as well as the East. Biography The existing variations in the basic accounts of ...
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Al-Ghazali
Al-Ghazali ( – 19 December 1111; ), full name (), and known in Persian-speaking countries as Imam Muhammad-i Ghazali (Persian: امام محمد غزالی) or in Medieval Europe by the Latinized as Algazelus or Algazel, was a Persian polymath. He is known as one of the most prominent and influential philosophers, theologians, jurists, logicians and mystics of the Islamic Golden Age. Ludwig W. Adamec (2009), ''Historical Dictionary of Islam'', p.109. Scarecrow Press. . He is considered to be the 5th century's '' mujaddid'',William Montgomery Watt, ''Al-Ghazali: The Muslim Intellectual'', p. 180. Edinburgh: Edinburgh University Press, 1963. a renewer of the faith, who, according to the prophetic hadith, appears once every 100 years to restore the faith of the Islamic community. His works were so highly acclaimed by his contemporaries that al-Ghazali was awarded the honorific title "Proof of Islam" ('' Ḥujjat al-Islām'').Hunt Janin, ''The Pursuit of Learning in the I ...
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Islamic Law
Sharia (; ar, شريعة, sharīʿa ) is a body of religious law that forms a part of the Islamic tradition. It is derived from the religious precepts of Islam and is based on the sacred scriptures of Islam, particularly the Quran and the Hadith. In Arabic, the term ''sharīʿah'' refers to God's immutable divine law and is contrasted with '' fiqh'', which refers to its human scholarly interpretations. In the historical course, fiqh sects have emerged that reflect the preferences of certain societies and state administrations on behalf of people who are interested in the theoretical (method) and practical application ( Ahkam / fatwa) studies of laws and rules, but sharia has never been a valid legal system on its own. It has been used together with " customary (Urf) law" since Omar or the Umayyads. It may also be wrong to think that the Sharia, as a religious argument or belief, is entirely within or related to Allah's commands and prohibitions. Several non-graded c ...
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Terminology
Terminology is a group of specialized words and respective meanings in a particular field, and also the study of such terms and their use; the latter meaning is also known as terminology science. A ''term'' is a word, compound word, or multi-word expressions that in specific contexts is given specific meanings—these may deviate from the meanings the same words have in other contexts and in everyday language. Terminology is a discipline that studies, among other things, the development of such terms and their interrelationships within a specialized domain. Terminology differs from lexicography, as it involves the study of concepts, conceptual systems and their labels (''terms''), whereas lexicography studies words and their meanings. Terminology is a discipline that systematically studies the "labelling or designating of concepts" particular to one or more subject fields or domains of human activity. It does this through the research and analysis of terms in context for the p ...
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Analogy
Analogy (from Greek ''analogia'', "proportion", from ''ana-'' "upon, according to" lso "against", "anew"+ ''logos'' "ratio" lso "word, speech, reckoning" is a cognitive process of transferring information or meaning from a particular subject (the analog, or source) to another (the target), or a linguistic expression corresponding to such a process. In a narrower sense, analogy is an inference or an argument from one particular to another particular, as opposed to deduction, induction, and abduction, in which at least one of the premises, or the conclusion, is general rather than particular in nature. The term analogy can also refer to the relation between the source and the target themselves, which is often (though not always) a similarity, as in the biological notion of analogy. Analogy plays a significant role in problem solving, as well as decision making, argumentation, perception, generalization, memory, creativity, invention, prediction, emotion, explanation, ...
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Ijtihad
''Ijtihad'' ( ; ar, اجتهاد ', ; lit. physical or mental ''effort'') is an Islamic legal term referring to independent reasoning by an expert in Islamic law, or the thorough exertion of a jurist's mental faculty in finding a solution to a legal question. It is contrasted with '' taqlid'' (imitation, conformity to legal precedent). According to classical Sunni theory, ''ijtihad'' requires expertise in the Arabic language, theology, revealed texts, and principles of jurisprudence ('' usul al-fiqh''), and is not employed where authentic and authoritative texts (Qur'an and Hadith) are considered unambiguous with regard to the question, or where there is an existing scholarly consensus (''ijma''). ''Ijtihad'' is considered to be a religious duty for those qualified to perform it. An Islamic scholar who is qualified to perform ''ijtihad'' is called as a "'' mujtahid''". Throughout the first five Islamic centuries, the practice of ''ijtihad'' continued both theoretically and practi ...
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Scientific Method
The scientific method is an empirical method for acquiring knowledge that has characterized the development of science since at least the 17th century (with notable practitioners in previous centuries; see the article history of scientific method for additional detail.) It involves careful observation, applying rigorous skepticism about what is observed, given that cognitive assumptions can distort how one interprets the observation. It involves formulating hypotheses, via induction, based on such observations; the testability of hypotheses, experimental and the measurement-based statistical testing of deductions drawn from the hypotheses; and refinement (or elimination) of the hypotheses based on the experimental findings. These are ''principles'' of the scientific method, as distinguished from a definitive series of steps applicable to all scientific enterprises. Although procedures vary from one field of inquiry to another, the underlying process is frequentl ...
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Isnad
Hadith studies ( ar, علم الحديث ''ʻilm al-ḥadīth'' "science of hadith", also science of hadith, or science of hadith criticism or hadith criticism) consists of several religious scholarly disciplines used by Muslim scholars in the study and evaluation of the Islamic hadith—i.e. the record of the words, actions, and the silent approval of the Islamic prophet, Muhammad. Determining authenticity of hadith is enormously important in Islam because along with the Quran, the ''Sunnah'' of the Islamic prophet—his words, actions, and the silent approval—are considered the explanation of the divine revelation ('' wahy''), and the record of them (i.e. hadith) provides the basis of Islamic law (Sharia). In addition, while the number of verses pertaining to law in the Quran is relatively few, hadith give direction on everything from details of religious obligations (such as ''Ghusl'' or ''Wudu'', ablutions An-Nawawi, ''Riyadh As-Salihin'', 1975: p.203 for ''salat'' pray ...
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Scientific Citation
Scientific citation is providing detailed reference in a scientific publication, typically a paper or book, to previous published (or occasionally private) communications which have a bearing on the subject of the new publication. The purpose of citations in original work is to allow readers of the paper to refer to cited work to assist them in judging the new work, source background information vital for future development, and acknowledge the contributions of earlier workers. Citations in, say, a review paper bring together many sources, often recent, in one place. To a considerable extent the quality of work, in the absence of other criteria, is judged on the number of citations received, adjusting for the volume of work in the relevant topic. While this is not necessarily a reliable measure, counting citations is trivially easy; judging the merit of complex work can be very difficult. Previous work may be cited regarding experimental procedures, apparatus, goals, previous the ...
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Inductive Reasoning
Inductive reasoning is a method of reasoning in which a general principle is derived from a body of observations. It consists of making broad generalizations based on specific observations. Inductive reasoning is distinct from ''deductive'' reasoning. If the premises are correct, the conclusion of a deductive argument is ''certain''; in contrast, the truth of the conclusion of an inductive argument is '' probable'', based upon the evidence given. Types The types of inductive reasoning include generalization, prediction, statistical syllogism, argument from analogy, and causal inference. Inductive generalization A generalization (more accurately, an ''inductive generalization'') proceeds from a premise about a sample to a conclusion about the population. The observation obtained from this sample is projected onto the broader population. : The proportion Q of the sample has attribute A. : Therefore, the proportion Q of the population has attribute A. For example, say there ...
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Modal Logic
Modal logic is a collection of formal systems developed to represent statements about necessity and possibility. It plays a major role in philosophy of language, epistemology, metaphysics, and natural language semantics. Modal logics extend other systems by adding unary operators \Diamond and \Box, representing possibility and necessity respectively. For instance the modal formula \Diamond P can be read as "possibly P" while \Box P can be read as "necessarily P". Modal logics can be used to represent different phenomena depending on what kind of necessity and possibility is under consideration. When \Box is used to represent epistemic necessity, \Box P states that P is epistemically necessary, or in other words that it is known. When \Box is used to represent deontic necessity, \Box P states that P is a moral or legal obligation. In the standard relational semantics for modal logic, formulas are assigned truth values relative to a '' possible world''. A formula's truth value ...
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Temporal Logic
In logic, temporal logic is any system of rules and symbolism for representing, and reasoning about, propositions qualified in terms of time (for example, "I am ''always'' hungry", "I will ''eventually'' be hungry", or "I will be hungry ''until'' I eat something"). It is sometimes also used to refer to tense logic, a modal logic-based system of temporal logic introduced by Arthur Prior in the late 1950s, with important contributions by Hans Kamp. It has been further developed by computer scientists, notably Amir Pnueli, and logicians. Temporal logic has found an important application in formal verification, where it is used to state requirements of hardware or software systems. For instance, one may wish to say that ''whenever'' a request is made, access to a resource is ''eventually'' granted, but it is ''never'' granted to two requestors simultaneously. Such a statement can conveniently be expressed in a temporal logic. Motivation Consider the statement "I am hungry". Though it ...
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