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Showing posts from August, 2009

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