Class I: April 5

A change from the overall course schedule: The reading for this class is limited to the chapters mentioned from Notes on Logic, plus the two arguments mentioned in #5 below. (We will take up the material from Summa Contra Gentiles in the class on April 19.

1. The nature of an argument. 

2. How to evaluate an argument: The difference between deductive and non-deductive arguments.

3. The distinction between an original premise and a derived premise. Original premises are any premises which are not conclusions of subordinate arguments. Original premises are the assumptions of the main argument. A derived premise of a main argument is the conclusion of a subordinate argument within the main argument.

4. Three ways to attack a deductive argument: Is it valid? Is each subordinate argument valid? Is every premise true? Is every assumption of the argument sufficiently evident to serve as a premise? 

If an argument is valid and one or more of its premises is false, the conclusion may be false or it may be true. If an argument is invalid and all of its premises are true, the conclusion may be false or it may be true. So to show that an argument is not sound is not to show that it's conclusion is false.

5. Time permitting, we will analyse two arguments which we are relevant for later classes. 

The first argument is from J. L. Mackie, "Evil and Omnipotence": "The simplest form of the problem is this: God is omnipotent; God is wholly good; and yet evil exists. There seems to be some contradiction between these three propositions, so that if any two of them were true the third would be false. . . . To show [the contradiction]we need some additional premises, or perhaps some quasi-logical rules connecting the terms 'good', 'evil', and 'omnipotent'. The additional premises are that good is opposed to evil in such way that a good thing always eliminates evil as far as it can, and that there are no limits to what an omnipotent thing can do. From these it follows that a good omnipotent thing eliminates evil completely, and then the popositions that a good omnipotent thing exists, and that evil exists, are incompatible." [Excerpts from the article by Mackie will be reading for a class in the near future.]

The second argument is the first of Aquinas's "five ways" to show that God exists in the Summa Theologiae.  Summa Theologiae, I, q. 2, a. 3

 




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