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All the ideas for 'Intro to Naming,Necessity and Natural Kinds', 'Mathematics and the Metaphysicians' and 'The Meaning of the Word'

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10 ideas

2. Reason / D. Definition / 1. Definitions
The new view is that "water" is a name, and has no definition [Schwartz,SP]
     Full Idea: Perhaps the modern view is best expressed as saying that "water" has no definition at all, at least in the traditional sense, and is a proper name of a specific substance.
     From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III)
     A reaction: This assumes that proper names have no definitions, though I am not clear how we can grasp the name 'Aristotle' without some association of properties (human, for example) to go with it. We need a definition of 'definition'.
3. Truth / A. Truth Problems / 2. Defining Truth
You can only define a statement that something is 'true' by referring to its functional possibilities [James]
     Full Idea: Pragmatism insists that statements and beliefs are inertly and statically true only by courtesy: they practically pass for true; but you cannot define what you mean by calling them true without referring to their functional possibilities.
     From: William James (The Meaning of the Word "Truth" [1907], p.2)
     A reaction: I think this clarifies an objection to pragmatism, because all functional definitions (e.g. of the mind, or of moral behaviour) are preceded by the question of WHY this thing is able to function in this way. What special quality makes this possible?
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
If the hypothesis of God is widely successful, it is true [James]
     Full Idea: On pragmatistic principles, if the hypothesis of God works satisfactorily in the widest sense of the word, it is true.
     From: William James (The Meaning of the Word "Truth" [1907], p.299), quoted by Michael Potter - The Rise of Analytic Philosophy 1879-1930 35 'Prag'
     A reaction: How you get from 'widely satisfactory' to 'true' is beyond my comprehension. This is dangerous nonsense. This view of truth seems to be a commonplace in American culture. Peirce hurray! James boo! James accepted verification, where possible.
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP]
     Full Idea: We can refer to Thales by using the name "Thales" even though perhaps the only description we can supply is false of him.
     From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III)
     A reaction: It is not clear what we would be referring to if all of our descriptions (even 'Greek philosopher') were false. If an archaeologist finds just a scrap of stone with a name written on it, that is hardly a sufficient basis for successful reference.
The traditional theory of names says some of the descriptions must be correct [Schwartz,SP]
     Full Idea: The traditional theory of proper names entails that at least some combination of the things ordinarily believed of Aristotle are necessarily true of him.
     From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III)
     A reaction: Searle endorses this traditional theory. Kripke and co. tried to dismiss it, but you can't. If all descriptions of Aristotle turned out to be false (it was actually the name of a Persian statue), our modern references would have been unsuccessful.
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
     Full Idea: Presumably Zeno appealed to the axiom that the whole has more terms than the parts; so if Achilles were to overtake the tortoise, he would have been in more places than the tortoise, which he can't be; but the conclusion is absurd, so reject the axiom.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.89)
     A reaction: The point is that the axiom is normally acceptable (a statue contains more particles than the arm of the statue), but it breaks down when discussing infinity (Idea 7556). Modern theories of infinity are needed to solve Zeno's Paradoxes.
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
     Full Idea: Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.76)
     A reaction: A famous remark, though Musgrave is rather disparaging about Russell's underlying reasoning here.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
     Full Idea: A collection of terms is infinite if it contains as parts other collections which have as many terms as it has; that is, you can take away some terms of the collection without diminishing its number; there are as many even numbers as numbers all together.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.86)
     A reaction: He cites Dedekind and Cantor as source for these ideas. If it won't obey the rule that subtraction makes it smaller, then it clearly isn't a number, and really it should be banned from all mathematics.
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]
     Full Idea: Self-evidence is often a mere will-o'-the-wisp, which is sure to lead us astray if we take it as our guide.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.78)
     A reaction: The sort of nice crisp remark you would expect from a good empiricist philosopher. Compare Idea 4948. However Russell qualifies it with the word 'often', and all philosophers eventually realise that you have to start somewhere.
18. Thought / C. Content / 8. Intension
The intension of "lemon" is the conjunction of properties associated with it [Schwartz,SP]
     Full Idea: The conjunction of properties associated with a term such as "lemon" is often called the intension of the term "lemon".
     From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §II)
     A reaction: The extension of "lemon" is the set of all lemons. At last, a clear explanation of the word 'intension'! The debate becomes clear - over whether the terms of a language are used in reference to ideas of properties (and substances?), or to external items.