Islamic Logic
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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 Muʿtazila ( ar, المعتزلة ', English: "Those Who Withdraw, or Stand Apart", and who called themselves ''Ahl al-ʿAdl wa al-Tawḥīd'', English: "Party of ivineJustice and Oneness f God); was an Islamic group that appeared in early Islamic ...
philosophers, who highly valued Aristotle's '' Organon'', this approach was displaced by the older ideas from
Hellenistic philosophy Hellenistic philosophy is a time-frame for Western philosophy and Ancient Greek philosophy corresponding to the Hellenistic period. It is purely external and encompasses disparate intellectual content. There is no single philosophical school or cu ...
. The works of al-Farabi,
Avicenna Ibn Sina ( fa, ابن سینا; 980 – June 1037 CE), commonly known in the West as Avicenna (), was a Persian polymath who is regarded as one of the most significant physicians, astronomers, philosophers, and writers of the Islamic G ...
, 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 Ibn Sina ( fa, ابن سینا; 980 – June 1037 CE), commonly known in the West as Avicenna (), was a Persian polymath who is regarded as one of the most significant physicians, astronomers, philosophers, and writers of the Islamic G ...
's
system of logic A formal system is an abstract structure used for inferring theorems from axioms according to a set of rules. These rules, which are used for carrying out the inference of theorems from axioms, are the logical calculus of the formal system. A form ...
was responsible for the introduction of hypothetical syllogism, temporal
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 ...
and inductive logic. Other important developments in early Islamic philosophy include the development of a strict science of citation, the isnad or "backing", and the development of a scientific method of open inquiry to disprove claims, the
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 le ...
, which could be generally applied to many types of questions.


Islamic law and theology

Early forms of analogical reasoning,
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'' re ...
and categorical
syllogism A syllogism ( grc-gre, συλλογισμός, ''syllogismos'', 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true. ...
were introduced in Fiqh (Islamic jurisprudence),
Sharia 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 H ...
(Islamic law) and Kalam (Islamic theology) from the 7th century with the process of ''
Qiyas In Islamic jurisprudence, qiyas ( ar, قياس , "analogy") is the process of deductive analogy in which the teachings of the hadith are compared and contrasted with those of the Quran, in order to apply a known injunction ('' nass'') to a new ...
'', before the Arabic translations of Aristotle's works. Later during the Islamic Golden Age, there was a logical debate among Islamic philosophers, logicians and theologians over whether the term ''Qiyas'' refers to analogical reasoning, inductive reasoning or categorical syllogism. Some Islamic scholars argued that ''Qiyas'' refers to inductive reasoning, which Ibn Hazm (994-1064) disagreed with, arguing that ''Qiyas'' does not refer to inductive reasoning, but refers to categorical syllogism in a real sense and analogical reasoning in a metaphorical sense. On the other hand, al-Ghazali (1058–1111) and Ibn Qudamah al-Maqdisi (1147-1223) argued that ''Qiyas'' refers to analogical reasoning in a real sense and categorical syllogism in a metaphorical sense. Other Islamic scholars at the time, however, argued that the term ''Qiyas'' refers to both analogical reasoning and categorical syllogism in a real sense.


Aristotelian logic

The first original Arabic writings on logic were produced by al-Kindi (Alkindus) (805–873), who produced a summary on earlier logic up to his time. The first writings on logic with non-Aristotelian elements was produced by al-Farabi (Alfarabi) (873–950), who discussed the topics of future
contingent Contingency or Contingent may refer to: * Contingency (philosophy), in philosophy and logic * Contingency plan, in planning * Contingency table, in statistics * Contingency theory, in organizational theory * Contingency theory (biology) in evoluti ...
s, the number and relation of the categories, the relation between logic and grammar, and non-Aristotelian forms of
inference Inferences are steps in reasoning, moving from premises to logical consequences; etymologically, the word '' infer'' means to "carry forward". Inference is theoretically traditionally divided into deduction and induction, a distinction that in ...
.History of logic: Arabic logic
'' Encyclopædia Britannica''.
He is also credited for categorizing logic into two separate groups, the first being "idea" and the second being "
proof Proof most often refers to: * Proof (truth), argument or sufficient evidence for the truth of a proposition * Alcohol proof, a measure of an alcoholic drink's strength Proof may also refer to: Mathematics and formal logic * Formal proof, a con ...
". Averroes (1126–98) was the last major logician from al-Andalus, who wrote the most elaborate commentaries on Aristotelian logic.


Avicennian logic

Avicenna (980–1037) developed his own system of logic known as "Avicennian logic" as an alternative to Aristotelian logic. By the 12th century, Avicennian logic had replaced Aristotelian logic as the dominant system of logic in the Islamic world. The first criticisms of Aristotelian logic were written by Avicenna, who produced independent treatises on logic rather than commentaries. He criticized the logical school of Baghdad for their devotion to Aristotle at the time. He investigated the theory of
definition A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories: intensional definitions (which try to give the sense of a term), and extensional definitio ...
and
classification Classification is a process related to categorization, the process in which ideas and objects are recognized, differentiated and understood. Classification is the grouping of related facts into classes. It may also refer to: Business, organizat ...
and the quantification of the predicates of categorical propositions, and developed an original theory on " temporal modal" syllogism. Its premises included modifiers such as "at all times", "at most times", and "at some time". While Avicenna often relied on
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 fals ...
in philosophy, he used a different approach in medicine. Avicenna contributed inventively to the development of inductive logic, which he used to pioneer the idea of a syndrome. In his medical writings, Avicenna was the first to describe the methods of agreement, difference and concomitant variation which are critical to inductive logic and the scientific method.Lenn Evan Goodman (2003), ''Islamic Humanism'', p. 155, Oxford University Press, . Ibn Hazm (994–1064) wrote the ''Scope of Logic'', in which he stressed on the importance of sense perception as a source of knowledge.Science and Muslim Scientists
, Islam Herald.
Al-Ghazali (Algazel) (1058–1111) had an important influence on the use of logic in theology, making use of Avicennian logic in Kalam. Fakhr al-Din al-Razi (b. 1149) criticised Aristotle's " first figure" and developed a form of inductive logic, foreshadowing the system of inductive logic developed by
John Stuart Mill John Stuart Mill (20 May 1806 – 7 May 1873) was an English philosopher, political economist, Member of Parliament (MP) and civil servant. One of the most influential thinkers in the history of classical liberalism, he contributed widely to ...
(1806–1873). Systematic refutations of Greek logic were written by the Illuminationist school, founded by Shahab al-Din Suhrawardi (1155–1191), who developed the idea of "decisive necessity", an important innovation in the history of logical philosophical speculation. Another systematic refutation of Greek logic was written by
Ibn Taymiyyah Ibn Taymiyyah (January 22, 1263 – September 26, 1328; ar, ابن تيمية), birth name Taqī ad-Dīn ʾAḥmad ibn ʿAbd al-Ḥalīm ibn ʿAbd al-Salām al-Numayrī al-Ḥarrānī ( ar, تقي الدين أحمد بن عبد الحليم ...
(1263–1328), the ''Ar-Radd 'ala al-Mantiqiyyin'' (''Refutation of Greek Logicians''), where he argued against the usefulness, though not the validity, of the
syllogism A syllogism ( grc-gre, συλλογισμός, ''syllogismos'', 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true. ...
and in favour of
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'' re ...
.


See also

*
Early Islamic philosophy Early Islamic philosophy or classical Islamic philosophy is a period of intense philosophical development beginning in the 2nd century AH of the Islamic calendar (early 9th century CE) and lasting until the 6th century AH (late 12th century CE) ...
* History of logic


References


Bibliography

* Rescher, Nicholas 1964. ''Studies in the History of Arabic Logic'', Pittsburgh: University of Pittsburgh Press. *


External links

* * Routledge Encyclopedia of Philosophy
Logic in Islamic philosophy
Routledge, 1998
Logic in Islamic philosophyby Deborah L. Black
Muslimphilosophy.com:

at Raul Corazzon's ''History of Logic''. {{DEFAULTSORT:Logic In Islamic Philosophy Logic
Islam Islam (; ar, ۘالِإسلَام, , ) is an Abrahamic religions, Abrahamic Monotheism#Islam, monotheistic religion centred primarily around the Quran, a religious text considered by Muslims to be the direct word of God in Islam, God (or ...