Combining Texts

All the ideas for 'Phenomenalism', 'Philosophy of Language' and 'Mathematical Truth'

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13 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Singular terms refer, using proper names, definite descriptions, singular personal pronouns, demonstratives, etc. [Lycan]
     Full Idea: The paradigmatic referring devices are singular terms, denoting particular items. In English these include proper names, definite descriptions, singular personal pronouns, demonstrative pronouns, and a few others.
     From: William Lycan (Philosophy of Language [2000], Ch. 1)
     A reaction: This list provides the agenda for twentieth century philosophy of language, since this is the point where language is supposed to hook onto the world.
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf]
     Full Idea: Most accounts of the concept of mathematical truth can be identified with serving one or another of either semantic theory (matching it to ordinary language), or with epistemology (meshing with a reasonable view) - always at the expense of the other.
     From: Paul Benacerraf (Mathematical Truth [1973], Intro)
     A reaction: The gist is that language pulls you towards platonism, and epistemology pulls you towards empiricism. He argues that the semantics must give ground. He's right.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan]
     Full Idea: Benacerraf argues that realists about mathematical objects have a nice normal semantic but no epistemology, and anti-realists have a good epistemology but an unorthodox semantics.
     From: report of Paul Benacerraf (Mathematical Truth [1973]) by Mark Colyvan - Introduction to the Philosophy of Mathematics 1.2
The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf]
     Full Idea: The principle defect of the standard (platonist) account of mathematical truth is that it appears to violate the requirement that our account be susceptible to integration into our over-all account of knowledge.
     From: Paul Benacerraf (Mathematical Truth [1973], III)
     A reaction: Unfortunately he goes on to defend a causal theory of justification (fashionable at that time, but implausible now). Nevertheless, his general point is well made. Your theory of what mathematics is had better make it knowable.
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 / A. Nature of Meaning / 4. Meaning as Truth-Conditions
The truth conditions theory sees meaning as representation [Lycan]
     Full Idea: The truth conditions theory sees meaning as representation.
     From: William Lycan (Philosophy of Language [2000], Ch. 9)
     A reaction: This suggests a nice connection to Fodor's account of intentional thinking. The whole package sounds right to me (though the representations need not be 'symbolic', or in mentalese).
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Meaning must be known before we can consider verification [Lycan]
     Full Idea: How could we know whether a sentence is verifiable unless we already knew what it says?
     From: William Lycan (Philosophy of Language [2000], Ch. 8)
     A reaction: This strikes me as a devastating objection to verificationism. Lycan suggests that you can formulate a preliminary meaning, without accepting true meaningfulness. Maybe verification just concerns truth, and not meaning.
19. Language / A. Nature of Meaning / 6. Meaning as Use
Could I successfully use an expression, without actually understanding it? [Lycan]
     Full Idea: Could I not know the use of an expression and fall in with it, mechanically, but without understanding it?
     From: William Lycan (Philosophy of Language [2000], Ch. 6)
     A reaction: In a foreign country, you might successfully recite a long complex sentence, without understanding a single word. This doesn't doom the 'use' theory, but it means that quite a lot of detail needs to be filled in.
It is hard to state a rule of use for a proper name [Lycan]
     Full Idea: Proper names pose a problem for the "use" theorist. Try stating a rule of use for the name 'William G. Lycan'.
     From: William Lycan (Philosophy of Language [2000], Ch. 6)
     A reaction: Presumably it is normally used in connection with a particular human being, and is typically the subject of a grammatical sentence. Any piece of language could also be used to, say, attract someone's attention.
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth conditions will come out the same for sentences with 'renate' or 'cordate' [Lycan]
     Full Idea: A Davidsonian truth theory will not be able to distinguish the meaning of a sentence containing 'renate' from that of one containing 'cordate'.
     From: William Lycan (Philosophy of Language [2000], Ch. 9)
     A reaction: One might achieve the distinction by referring to truth conditions in possible worlds, if there are possible worlds where some cordates are not renate. See Idea 7773.
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
A sentence's truth conditions is the set of possible worlds in which the sentence is true [Lycan]
     Full Idea: A sentence's truth conditions can be taken to be the set of possible worlds in which the sentence is true.
     From: William Lycan (Philosophy of Language [2000], Ch.10)
     A reaction: Presumably the meaning can't be complete possible worlds, so this must be a supplement to the normal truth conditions view proposed by Davidson. It particularly addresses the problem seen in Idea 7770.
Possible worlds explain aspects of meaning neatly - entailment, for example, is the subset relation [Lycan]
     Full Idea: The possible worlds construal affords an elegant algebra of meaning by way of set theory: e.g. entailment between sentences is just the subset relation - S1 entails S2 if S2 is true in any world in which S1 is true.
     From: William Lycan (Philosophy of Language [2000], Ch.10)
     A reaction: We might want to separate the meanings of sentences from their entailments (though Brandom links them, see Idea 7765).