Aristotle gave seven arguments for the law of non-contradiction. The first one is against a special case of dialetheism, the view that only some contradictions are true, and other six arguments are...

Graham Priest’s Theory of Gluons concerns the problem of unity, i.e. what makes an object into a unity? Based on his theory of Gluons, Priest gives his accounts of being and nothingness. In this paper, I will explore the relationship between nothingness and the being of the totality of every object, and then, I will try to demonstrate that, according to Gluon Theory, these two have the same properties, or in other words, nothingness is the being of the totality of (...) every object. (shrink)

The theory of Wahdat al-Wujūd, or as it is called in English the Oneness of Being, is the core idea of Sufism. The founder of this theory is Ibn ‘Arabī. There are contradictions in Ibn ‘Arabī’s theory of the Oneness of Being. The most important one, which is my main concern in this essay, occurs in his explanation of the relation between Being, which is, according to him, the only real being, and other beings. According to Ibn ‘Arabī, Being is (...) identical and also non-identical with beings. Different philosophers, through hundreds of years, tried to dissolve such contradictions, by proposing consistent readings of Ibn ‘Arabī’s theory of the Oneness of Being. I will not follow this path. Instead, I take the theory of the Oneness of Being to be a dialetheic one, that is, according to this theory there are true contradictions. Thus, I claim that one can have a paraconsistent semantics of the theory of the Oneness of Being. To do so, I appeal to Graham Priest’s Gluon theory. Gluon theory concerns the problem of unity, that is, what makes the plurality of an object’s parts into a whole? I give a translation of the theory of the Oneness of Being into Gluon theory, and show how Gluon theory explains the theory of the Oneness of Being. (shrink)

Graham Priest’s Theory of Gluons concerns the problem of unity, i.e. what makes an object into a unity? Based on his theory of Gluons, Priest gives his accounts of being and nothingness. In this paper, I will explore the relationship between nothingness and the being of the totality of every object, and then, I will try to demonstrate that, according to Gluon Theory, these two have the same properties, or in other words, nothingness is the being of the totality of (...) every object. (shrink)

This paper is a comparative study between Brower’s solution to the problem of divine simplicity and that of Abū Hāšim al-Ǧubbāī (d. 933). First, I argue that the theory of aḥwāl is a semantic theory rather than a metaphysical one. Then, I present a reconstruction of Abū Hāšim al-Ǧubbāī’s theory of aḥwāl, based on Brower’s truthmaker theory of predication. Then, I show how Abū Hāšim would reply to some of the objections that Saenz raised against Brower’s truthmaker theory of divine (...) simplicity. Later on, I discuss Abū Hāšim’s explanation of the similarities between the properties that God and creatures share. (shrink)

This article is about Avicenna’s account of syllogisms comprising opposite premises. We examine the applications and the truth conditions of these syllogisms. Finally, we discuss the relation between these syllogisms and the principle of non-contradiction.

Similar to Meinong, Abū Hāšim al-Ğubbāī held the view that some objects do not exist. This paper is a comparative study between Meinong’s object theory and Abū Hāšim’s theory of nonexistent objects. Our comparative study is mostly done through three topics: the characterization principle, objecthood, and the ontological status of existence. Moreover, Abū Hāšim’s theory of nonexistent objects is based on his theory of states, according to which some things, namely states, which among other things include existence, are neither existent (...) nor nonexistent. In this paper, we have also discussed two arguments on behalf of this claim and then we have examined them from a Meinongian perspective. (shrink)

In this article, I present a formal semantics for Abū Hāšim’s theory of states. According to Hāšim al-Ǧubbāī (d. 933), there is a middle between existence and non-existence, and some entities, namely states, are neither existent nor non-existent. Moreover, states, which their objecthood follows from Abū Hāšim’s definition of objects, are not themselves objects. Roughly speaking, states explain the similarities and differences between objects in general and accidents in particular. The purpose of this paper is to reconstruct the theory of (...) states in the context of contemporary logic. This has been done by a formal semantics based on LP. (shrink)

In this article, I present a formal semantics for Abū Hāšim’s theory of states. According to Hāšim al-Ǧubbāī (d. 933), there is a middle between existence and non-existence, and some entities, namely states, are neither existent nor non-existent. Moreover, states, which their objecthood follows from Abū Hāšim’s definition of objects, are not themselves objects. Roughly speaking, states explain the similarities and differences between objects in general and accidents in particular. The purpose of this paper is to reconstruct the theory of (...) states in the context of contemporary logic. This has been done by a formal semantics based on LP. (shrink)

This article is about Avicenna’sAvicenna account of syllogismsSyllogism comprising opposite premises. We examine the applications and the truth conditions of these syllogismsSyllogism. Finally, we discuss the relation between these syllogismsSyllogism and the principle of non-contradiction.

This paper is about two challenges concerning the gluons of partite objects. One is Marmodoro’s argument that from the non-objecthood of gluons, it follows that gluons do not unify objects. I demonstrate that Marmodoro’s argument fails. The second Challenge is about the unity of gluons themselves. I show that gluon theory will encounter a vicious regress if objects are gunky.