P
Perplexity
Guest
As Fergus Kerr notes in After Aquinas: Versions of Thomism, the five ways have incompatible, seemingly equi-plausible interpretations. He notes, that the neo-thomist’s have introduced new readings of the arguments utilizing metaphysical principles. This is contrasted by the French interpretation heralded by theologians like the Jesuits Marcel Chossat (1862–1926) and Henri de Lubac (1896-1991). The prestigious Dictionnaire de Théologie Catholique describes this position clearly:
“As for the argument of the prime mover such as Saint Thomas understood it, it is a long time since it has been taught, even in the Thomist camp. . . If the argument is taken in the sense in which Saint Thomas borrowed it historically from the Arabs, it is not conclusive, and the criticism offered by Scotus is decisive . . . The Neo-Thomists, by adverting to metaphysical considerations . . . actually abandon the physical argument of the prime mover, just as do all the other members of the Thomistic school . . . [The argument has only] survived in the ranks of Protestant scholasticism, among certain philosophers and well-intentioned apologists’.” [1]
So, it seems there will be trouble in trying to figure out what Aquinas means in the First Way.
To make matters worse, the logic of his first way seems elusive. Graham Oppy formalizes a popular understanding of the Quinque Viae’s form as follows:
The first way instantiates this form as follows:
1’. Some things are in a process of change.
2’. Whatever is in a process of change is being changed by something else.
3’. An infinite regress of changers, each changed by another, is impossible.
4’. (Hence) There is a first cause of change, not itself in a process of change. [3]
[He seems to place (3) into (2’)]
“For starters, the argument seems to be plainly invalid: the most that could follow from the premises is that there are first causes of change that are not themselves in a process of change. There is nothing in the premises of this argument that justifies drawing the conclusion that there is a unique first cause of change that is not itself in a process of change.” 4
I agree. Aquinas’ first way is definitely logically invalid. The thomist has two roads from here. He can either proffer the first way as an ampliative argument (a deductively invalid argument which still affords considerable inductive support for the conclusion)[5], or, he may revise the argument to make it valid.
If he tries to use this as an ampliative argument, to ensure that we best protect ourselves from error, I will employ Bayes’ theorem. That’s gonna get messy, especially if you’re unfamiliar with it. So, for simplicity’s sake, let’s just revise it.
So, how should we revise it?
I suggest, and will be working with the following:
I’ll post my critiques of this argument on this thread once I can find time to do my best in doing so.
Foot Notes:
[1]: Dictionnaire de Théologie Catholique, vol. 4 (Paris: Letouzet et Ané, 1939): col. 932–5. As cited by Fergus Kerr, After Aquinas: Versions of Thomism. Malden (Ma.): Blackwell, 2008. p. 53.
[2]: Oppy, Graham. Arguing about Gods. New York: Cambridge UP, 2006. p. 98.
[3]: ibid., pp. 102-103
[5]: Interestingly, most inference to best explanation (IBE, also called abductive) arguments are ampliative:
"An abduction (or inference to the best explanation, or retroduction) is an inductive argument whose premise (or premises) constitute the avaliable evidence, and whose conclusion is a hypothesis regarding what best explains the evidence. Abduction often takes the same general form as the fallacious deductive argument affirming the consequent:
A → B
B_____
A" - Cook, Roy T. A Dictionary of Philosophical Logic. Edinburgh: Edinburgh UP, 2009. p. 4.
“As for the argument of the prime mover such as Saint Thomas understood it, it is a long time since it has been taught, even in the Thomist camp. . . If the argument is taken in the sense in which Saint Thomas borrowed it historically from the Arabs, it is not conclusive, and the criticism offered by Scotus is decisive . . . The Neo-Thomists, by adverting to metaphysical considerations . . . actually abandon the physical argument of the prime mover, just as do all the other members of the Thomistic school . . . [The argument has only] survived in the ranks of Protestant scholasticism, among certain philosophers and well-intentioned apologists’.” [1]
So, it seems there will be trouble in trying to figure out what Aquinas means in the First Way.
To make matters worse, the logic of his first way seems elusive. Graham Oppy formalizes a popular understanding of the Quinque Viae’s form as follows:
- The two-place relational predicate ‘R’ is instantiated – that is, there are a and b such that Rab.
- R is irreflexive – that is, nothing can stand in this relation to itself.
- R is transitive – that is, if Rab and Rbc, then Rac.
- There cannot be a beginningless series of things that stand in the relation R to one another – that is, there cannot be…e, f, g such that…Ref, Rfg.
- (Hence) There is a unique thing to which other things stand in the relation R but which does not stand in the relation R to anything. [2]
The first way instantiates this form as follows:
1’. Some things are in a process of change.
2’. Whatever is in a process of change is being changed by something else.
3’. An infinite regress of changers, each changed by another, is impossible.
4’. (Hence) There is a first cause of change, not itself in a process of change. [3]
[He seems to place (3) into (2’)]
“For starters, the argument seems to be plainly invalid: the most that could follow from the premises is that there are first causes of change that are not themselves in a process of change. There is nothing in the premises of this argument that justifies drawing the conclusion that there is a unique first cause of change that is not itself in a process of change.” 4
I agree. Aquinas’ first way is definitely logically invalid. The thomist has two roads from here. He can either proffer the first way as an ampliative argument (a deductively invalid argument which still affords considerable inductive support for the conclusion)[5], or, he may revise the argument to make it valid.
If he tries to use this as an ampliative argument, to ensure that we best protect ourselves from error, I will employ Bayes’ theorem. That’s gonna get messy, especially if you’re unfamiliar with it. So, for simplicity’s sake, let’s just revise it.
So, how should we revise it?
I suggest, and will be working with the following:
- Some things are in a process of change.
- Whatever is in a process of change is being changed by something else.
- An infinite regress of changers, each changed by another, is impossible.
- If (1)-(3), then there is a first cause of change, not itself in a process of change.
- (Hence) There is a first cause of change, not itself in a process of change. (4), (1)-(3), M.P.]
I’ll post my critiques of this argument on this thread once I can find time to do my best in doing so.
Foot Notes:
[1]: Dictionnaire de Théologie Catholique, vol. 4 (Paris: Letouzet et Ané, 1939): col. 932–5. As cited by Fergus Kerr, After Aquinas: Versions of Thomism. Malden (Ma.): Blackwell, 2008. p. 53.
[2]: Oppy, Graham. Arguing about Gods. New York: Cambridge UP, 2006. p. 98.
[3]: ibid., pp. 102-103
[5]: Interestingly, most inference to best explanation (IBE, also called abductive) arguments are ampliative:
"An abduction (or inference to the best explanation, or retroduction) is an inductive argument whose premise (or premises) constitute the avaliable evidence, and whose conclusion is a hypothesis regarding what best explains the evidence. Abduction often takes the same general form as the fallacious deductive argument affirming the consequent:
A → B
B_____
A" - Cook, Roy T. A Dictionary of Philosophical Logic. Edinburgh: Edinburgh UP, 2009. p. 4.