Posts

Valid Inferences and Valid Arguments

I would like to distinguish between the form of a valid deduction and the validity of an argument. Formal logic deals with the forms of our inferences, and not the validity of our arguments. For example, appealing to the masses is not a valid form of argument, though it could be expressed as a valid syllogism. A valid argument must have a valid logical form; or, at least, it must be expressible in such a form. But having a valid logical form is not enough. Admittedly, I haven't thought about this distinction before, and I would not be surprised if I suddenly reversed or qualified my position. This might be better discussed by focusing on examples of logical fallacies. Example 1: Begging the Question 1) If X, then ~~X 2) X 3) ~~X This is begging the question by any account. Yet, it is a valid syllogism. Example 2: Appeal to the Masses This is also a logical fallacy, but it can be expressed as a valid syllogism: 1) If everybody knows that X, then X. 2) Everybody knows that X 3...

Original Sin

Context: A woman calling herself "Mom" has made the following claim: Original Sin can only be understood from the heart, not the head. And understood it must be, she says, or else . . . well, I'm not sure how she would have me end that sentence. But apparently it's very important I understand Original Sin with my heart. The problem is, I can't get it past those darn censors in my head. Here's what I wrote: God thinks I deserve to be punished for being born, but God is punishing Himself instead. Since God created me, God is responsible for my birth. It seems only right that God would punish Himself. If God punishes Himself, it is because He wants to. He makes the rules, and he could give Himself a break. He could decide that nobody needs to be punished for sin. But He doesn't. He punishes Himself. That's His choice. God wants to suffer. But let's consider this suffering. God punishes Himself by killing His son. Though that's not quite righ...

Stanley and Williamson on Ryle: "Knowing How"

[ In July and August, 2010, I made some significant revisions and deleted some questionable portions of this post. ] In " Knowing How " (2001), Jason Stanley and Timothy Williamson (S&W) defend intellectualism against Gilbert Ryle. Their paper was selected by The Philosopher's Annual as one of the ten best papers of 2001. Yet, as I will argue, they profoundly misrepresent Ryle (and so fail to make a sound critique of his project). This suggests that there has been a widespread and severe misunderstanding of Ryle among academic philosophers. Despite the problems with their response to Ryle, S&W's formulation of knowledge-how as a species of knowledge-that is a stand-alone argument and invites criticism of its own. As I aim to show, a clarification of some relevant issues makes it difficult to fully accept their analysis. In section I, I present intellectualism. In section II, I correct S&W's misrepresentation of Ryle's argument against intell...

Logic and Reference

I want to better explain why I reject the idea that logic refers to something, such as abstractions or Platonic forms. Words and sentences, of themselves, do not refer to anything. Rather, people can use words and sentences to refer to things. (This should be clear when we remember that the same words and sentences can refer to different things, depending on the context of utterance.) Furthermore, the meaning of a sentence is not always its referent; for we can understand sentences even when a referent is unspecified, and also in cases where the referent is non-existant. (E.g., "The King of France is bald.") From these points it follows, first, that the referent of a sentence depends on how it is used in a particular context; and, second, that sentences can be meaningful even if they have no known referent. When we look at the meaning of a syllogism, we may easily find referents. For example, All men are mortal. Socrates is a man. Therefore, Socrates is mortal. Taken by...

The Language of Consciousness

There is no good definition of "consciousness"--at least, not in any rigorous philosophical or scientific sense. There are just lots of ways we use the term in everyday life. For example, we use it to distinguish between sleep and wakefulness, or to indicate that we are focusing our attention on something, or that we remember something, or that we know something. These aren't all the same, or even necessarily similar, processes. So the idea that there is some unique thing called "consciousness" is perhaps an error. And so the idea that there are "conscious processes" in the brain is also perhaps an error. The word "consciousness" does not pick out anything specific, but has meaning only in so far as it provides some structure to our discourse--specifically, our discourse about ourselves. It is a grammatical construction without extra-linguistic referent. * Once we've understood the language, we've understood consciousness. Th...

Mathematical Procedures and Incommensurability

I. Procedure and Representation We can use numbers to perform calculations without having to stipulate that each number refers to anything outside of our mathematical operations. Number systems are tools for counting and performing other arithmetical functions. We can define arithmetic procedurally, and avoid wondering what sort of existence numbers might have on their own, perhaps in some Platonic realm. Numbers are symbols used to represent mathematical procedures. I used to think that the existence of irrational numbers posed a problem for this view. To define rational numbers, we say they can be represented as a fraction between m and n (where m and n are not both divisible by two). Irrational numbers are defined as numbers which cannot be represented as fractions in this way. They seem to point to something beyond comprehension, beyond the possibility of finite containment. Indeed, the fact is, we have symbols for irrational numbers; the numbers themselves are the referent...

Summarizing Dennett on Consciousness

A few days ago I posted the following in a discussion at PhilPapers : Not far into Consciousness Explained (paperback, p. 23), Dennett writes: "Today we talk about our conscious decisions and unconscious habits, about the conscious experience we enjoy (in contrast to, say, automatic cash machines, which have no such experiences) -- but we are no longer quite sure we know what we mean when we say these things. While there are still thinkers who gamely hold out for consciousness being some one genuine precious thing (like love, like gold), a thing that is just 'obvious' and very, very special, the suspicion is growing that this is an illusion. Perhaps the various phenomena that conspire to create the sense of a single mysterious phenomenon have no more ultimate or essential unity than the various phenomena that contribute to the sense that love is a simple thing." I think understanding this passage is critical to understanding Dennett's approach. Our talk of co...