Combining Texts

All the ideas for 'Phenomenalism', 'Many, but almost one' and 'Building Blocks of Mathematical Logic'

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7 ideas

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
Variables are auxiliary notions, and not part of the 'eternal' essence of logic [Schönfinkel]
     Full Idea: A variable in a proposition of logic ....has the status of a mere auxiliary notion that is really inappropriate to the constant, 'eternal' essence of the propositions of logic.
     From: Moses Schönfinkel (Building Blocks of Mathematical Logic [1924], §1)
     A reaction: He presumably thinks that what the variables stand for (and he mentions 'argument places' and 'operators') will be included in the essence. My attention was caught by the thought that he takes logic to have an essence.
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Semantic indecision explains vagueness (if we have precisifications to be undecided about) [Lewis]
     Full Idea: Semantic indecision will suffice to explain the phenomenon of vagueness. [note] Provided that there exist the many precisifications for us to be undecided between. If you deny this, you will indeed have need of vague objects.
     From: David Lewis (Many, but almost one [1993], 'Two solutions')
     A reaction: [He mentions Van Inwagen 1990:213-83] There seem to be three solutions to vague objects: that they really are vague, that they are precise but we can't know precisely, or Lewis's view. I like Lewis's view. Do animals have any problem with vagueness?
9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail
If cats are vague, we deny that the many cats are one, or deny that the one cat is many [Lewis]
     Full Idea: To deny that there are many cats on the mat (because removal of a few hairs seems to produce a new one), we must either deny that the many are cats, or else deny that the cats are many. ...I think both alternatives lead to successful solutions.
     From: David Lewis (Many, but almost one [1993], 'The paradox')
     A reaction: He credits the problem to Geach (and Tibbles), and says it is the same as Unger's 'problem of the many' (Idea 15536).
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
We have one cloud, but many possible boundaries and aggregates for it [Lewis]
     Full Idea: Many surfaces are equally good candidates to be boundaries of a cloud; therefore many aggregates of droplets are equally good candidates to be the cloud. How is it that we have just one cloud? And yet we do. This is Unger's (1980) 'problem of the many'.
     From: David Lewis (Many, but almost one [1993], 'The problem')
     A reaction: This is the problem of vague objects, as opposed to the problem of vague predicates, or the problem of vague truths, or the problem of vague prepositions (like 'towards').
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Modern phenomenalism holds that objects are logical constructions out of sense-data [Ayer]
     Full Idea: Nowadays phenomenalism is held to be a theory of perception which says that physical objects are logical constructions out of sense-data.
     From: A.J. Ayer (Phenomenalism [1947], §1)
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
The concept of sense-data allows us to discuss appearances without worrying about reality [Ayer]
     Full Idea: The introduction of the term 'sense-datum' is a means of referring to appearances without prejudging the question of what it is, if anything, that they are appearances of.
     From: A.J. Ayer (Phenomenalism [1947], §1)
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
Basic to pragmatics is taking a message in a way that makes sense of it [Lewis]
     Full Idea: The cardinal principle of pragmatics is that the right way to take what is said, if at all possible, is the way that makes sense of the message.
     From: David Lewis (Many, but almost one [1993], 'A better solution')
     A reaction: Thus when someone misuses a word, suggesting nonsense, we gloss over it, often without even mentioning it, because the underlying sense is obvious. A good argument for the existence of propositions. Lewis doesn't mention truth.