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ALFARABI ON CONDITIONALS
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Abstract
I examine the theory of conditional propositions (
qaḍāyā šarṭiyya muttaṣila
) and conditional syllogisms (
qiyāsāt šarṭiyya
) in the logical works of Alfarabi (d. 950). I contextualize Alfarabi's logical doctrines related to conditional reasoning against the backdrop of the context-theory of logic, which was developed by Aristotle's ancient commentators. I show that Alfarabi thought that conditional propositions have truth-conditions. I provide conjectural truth-conditions for conditional propositions, and conjectural validity-conditions for connective conditional syllogisms. These truth-conditions and validity-conditions are shown to be sensitive to the pragmatic conditions in which conditional propositions and arguments are deployed. I end by suggesting that Alfarabi's logical pragmatism is a consequence of his adoption of the late antique context-theory of logic rather than a result of his developing Aristotle's formal syllogistic theory adumbrated in the
Prior Analytics
.
Title: ALFARABI ON CONDITIONALS
Description:
Abstract
I examine the theory of conditional propositions (
qaḍāyā šarṭiyya muttaṣila
) and conditional syllogisms (
qiyāsāt šarṭiyya
) in the logical works of Alfarabi (d.
950).
I contextualize Alfarabi's logical doctrines related to conditional reasoning against the backdrop of the context-theory of logic, which was developed by Aristotle's ancient commentators.
I show that Alfarabi thought that conditional propositions have truth-conditions.
I provide conjectural truth-conditions for conditional propositions, and conjectural validity-conditions for connective conditional syllogisms.
These truth-conditions and validity-conditions are shown to be sensitive to the pragmatic conditions in which conditional propositions and arguments are deployed.
I end by suggesting that Alfarabi's logical pragmatism is a consequence of his adoption of the late antique context-theory of logic rather than a result of his developing Aristotle's formal syllogistic theory adumbrated in the
Prior Analytics
.
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