Friday, June 22, 2012

Impossible Objects applied to the First Commandment


            In the first of the Ten Commandments given by God to Moses on Mount Sinai, God commands his people “I, the LORD, am your God, who brought you out of the land of Egypt, that place of slavery, you shall not have other gods besides me.”[1] There appears, however, to be a contradiction because there is only one God, not many gods.[2]
Clearly God is saying something intelligent through the use of his term gods in the first commandment, but how can God intended a meaning behind something that does not exist in actuality? It is not possible for God, who is perfect, to make a misleading claim because this would imply a contradiction in God for nothing can be perfect and make a mistake, because if he did He would not be perfect, so there must be some way in which god is signifying a meaning by his term gods. [3] This paper intends to make sense of the term gods by drawing a distinction between and clarifying what is meant by real beings and beings of reason.
            There is an obvious distinction between simply blabbering, what the Stoics and Aristotelians called scindapsos and saying something meaningful.[4] A baby who is putting syllables together is not saying anything of meaning, he is not signifying anything, he is simply making noises. A parent, however, who is telling her baby to be quiet, is speaking with meaning because she is signifying something through the use of her sounds, her sounds have meaning.
            Even when a person speaks coherently they can speak in a manner that at first glance appears to be nonsense. A person, for example, can speak of a square circle, a clear impossible object. An impossible object is one which cannot exist in reality in anyway because it would contradict the essence of the individual things. For example a square circle cannot exist in reality because a square is “a rectangle with all four sides equal” [5] and a circle is “a closed plane curve every point of which is equidistant from a fixed point within the curve”[6]  It is simply impossible for these two shapes to exist together because their essences contradict each other. “ A square can never exist as a circle and a circle can never exist as a square.”[7] What it means for a square to be a square cannot take on the definition of a circle without ceasing to become a square and become a circle. Yet even though impossible objects like square circles are impossible objects it is possible to speak in some way about them with truth and meaning. It is possible to give a definition of what a square circle would be even if it can not exist in reality.
            The term gods is an impossible object, does not exist in reality, but it appears to exist in some way because we are able to talk about it. It is “an object with enough density to be the completing correlate of true judgments.”[8] While gods may not exist in reality, judgments of truth and falsity can be made about them.
A distinction can then be made of beings. This distinction can be divided into beings in actuality, real beings, and beings in the mind, beings of reason. This distinction of being is not a categorical distinction but rather a division between transcendental being and super-transcendental being.
The Latin Medievals tracing their roots to the Arabic philosopher Averroes believed that being was divided into beings in the mind and beings outside the mind. Francisco Suarez, a late sixteenth to early seventeenth Jesuit scholastic, draws out and explains an important distinction of being in the last of his 54 metaphysical disputations. In the 54th disputation he “passed from being insofar as it is real being or being insofar as it is actual or possible to consider beings which do not or even cannot exist despite the fact that we can think and speak of them with truth and meaning.”[9] In this disputation Suarez addresses the idea of impossible objects. He draws out and explains this distinction between real beings and beings of reason.
            Real beings are those beings that exist in actuality, actual beings.[10] The study of real being is the study of being as being. They are the beings that are discussed by Aristotle in his work on metaphysics and are the proper subject matter for all metaphysics. They are a being “as that which can exist independent of the human mind.”[11]
Real beings have a real essence that is found in its actual physical existence. The truth about the term dog is based on the dog existing independently of the mind, which in reality exists, barks, and wags its tail etc.. Statements made about the dog are said to be true to the extent that they relate to how it is that the dog really is.
While real beings and beings of reason share the term being there is little in common between them. “Instead, between beings of reason and real beings, Suarez will only allow an extrinsic analogy of proportionality. Another name for an extrinsic analogy of proportionality is metaphor.”[12] While real beings and beings of reason only share the metaphorical term being the term being applied to beings of reason is appropriate because beings of reason do exist in some way.
             Beings of reason are beings, “which do not or even cannot exist despite the fact that we can think and speak of them with truth and meaning.”[13] Beings of reason do not and cannot exist in reality yet they do signify something. A being of reason “has being only objectively in the intellect.”[14]  They are “items which are completely mind-dependent inasmuch as they exist only objectively in the intellect.”[15] The fact, however that beings of reason do exist in the mind demonstrates that they must be in some regard.
            Since beings of reason exist in some way but do not exist in reality they cannot exist apart from the mind. “The one way in fact in which beings of reason could be known was if the intellect itself were to render it knowable.”[16] Since they have no intelligibility in themselves they can only be understood indirectly through the means of other things. It is impossible to understand a goat-stag without understanding a goat and a stag.
The fact that beings of reason exist dependent of the mind should not make one think that they are fake or arbitrary. Many of the ancient philosophers speak of the fictional term goat-stag, a combination of a goat and a stag. The first known mention of the goat-stag in a philosophical context comes in Plato’s Republic where no question is raised about its, existence seeming to imply that Plato believed they did exist.[17] While the Latin Medievals have debated the existence of goat-stags the fact that Plato can speak with meaning about the goat-stag implies that it must have existence in some manner.
Clearly, a goat stag could not exist in reality, however it is possible to describe all of the properties of a goat-stag. If the goat-stag did not exist in some way it would not be possible to say anything about it because either something is or something is not.[18] Since nothing comes from nothingit is simply not possible to talk about something that doesn’t exist except to say that it does not exist. [19]
            The term gods is a being of reason because while it does not exist in reality it does exist in some way in the mind. One is able to say what is meant by the term gods. It has being which is grounded not in reality, but rather, in the intellect. When God speaks with the term god’s he intends some meaning behind it. Through the use of the term gods one comes to understand what God means by his commandment as many biblical exegesis have been able to demonstrate.
There are two types of beings of reason, they can be classified either as beings of reason that have some foundation in reality but are completed through reason and those that are total creations of the intellect.[20] The goat stage would be an example of a being of reason because both goats and stags exist in reality but it is the mind that puts the two together. The term gods on the other hand would be a complete creation of the mind. No component of the term gods exists in reality and as such the term is a complete fabrication of the mind, yet this fabrication has meaning.
            Simply because gods do not exist in reality does not imply that God is simply putting syllables together, making sounds without meaning. Without recognizing the distinction between beings of reason and real beings it instantly appears that God is simply blabbering in his first commandment. While the Jewish people of Moses’ age were not able to explain this distinction they clearly knew it existed because they were able to understand what God was commanding of them. Since the term gods is a being of reason it is possible for theologians to speak with meaning about the term and come to understand God’s meaning in his first commandment.
            By understanding the distinction between real beings and beings of reason one understands that God is not speaking about a real being, but rather, he is speaking about a being of reason.  He is not claiming that gods exist actually in the world but is rather using the term gods analogously. If the term gods was not a being it would have to be nothing and nothing can be said of nothing. It is important for theologians to understand the philosophical distinction between real beings and beings of reason in order to understand God’s first commandment given to Moses on Mount Sinai.






[1] Exodus 20:2-3 The New American Bible. Catholic Biblical Association of America, ed. New York: P.J. Kenedy & Sons, 1970.
[2] For an explanation of only one God see Aristotle’s proof of the unmoved mover. Aristotle, Metaphysics Book 12 trans. Hippocrates G. Apostle. Bloomington: Indiana University Press, 1966. 197-212.
[3] For proof of the perfection of God see: Thomas Aquinas, Summa theologiae, I, q. 4, a. 1, in Summa theologica: Complete English Edition in Five Volumes, vol. 1, trans. Fathers of the English Dominican Province (Notre Dame, IN: Christian Classics, 1981), 20-21.
[4] Doyle, John. "Another God, Chimerae, Goat-Stags, and Man-Lions: A Seventeenth-Century Debate About Impossible Objects." The Review of Metaphysics XLVIII (1995): 771-808.
[5] Merriam Webster Dictionary Online. http://www.merriam-webster.com Accessed 5/1/2011
[6] Merriam Webster Dictionary Online. Accessed 5/1/2011
[7] Howard Whitcraft Ph.D. (Mathematics from St. Louis University), Phone Interview. 25 April 2011.
[8] Doyle, "Another God, Chimerae, Goat-Stags, and Man-Lions: A Seventeenth-Century Debate About Impossible Objects."
[9] Suarez, Francisco. On Beings of Reason.17.
                [10] Doyle, John. "Suarex on the Reality of the Possibles" The Modern Schoolman ( November 1967): 31.
[11] Doyle, John. “Beings of Reason and Imagniation in 17th-Century Jesuit Thought” Imagination-Fiktion-Kreation: Das Kulturschaffende Vermogen Der Phantasie (2003): 213.
[12] Suarez, Francisco. On Beings of Reason. Translated by John Doyle. Milwaukee: Marquette University Press, 1995.23.
                [13] Suarez, Francisco. On Beings of Reason. 17.
[14] Doyle, John. "Suarez on Beings of Reason and Truth." Vivarium XXV.
                [15] Suarez, Francisco. On Beings of Reason.22.
                [16] Suarez, Francisco. On Beings of Reason.19.
[17] Doyle, "Another God, Chimerae, Goat-Stags, and Man-Lions: A Seventeenth-Century Debate About Impossible Objects."
[18] For further clarification see the law of the excluded middle in a logic textbook.
                [19] For further clarification see the ex nihilo nihil fit argument of Parmenides.
                [20] Suarez, Francisco. On Beings of Reason.33.

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