國立虎尾科技大學 |

Generality and reference : = An examination of denoting in Russell's "Principles of Mathematics".

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Generality and reference :/
其他題名:	An examination of denoting in Russell's "Principles of Mathematics".
作者:	Yu, Yung-ping.
面頁冊數:	1 online resource (222 pages)
附註:	Source: Dissertation Abstracts International, Volume: 56-10, Section: A, page: 4004.
Contained By:	Dissertation Abstracts International56-10A.
標題:	Philosophy. -
電子資源:	click for full text (PQDT)

Generality and reference : = An examination of denoting in Russell's "Principles of Mathematics".
Yu, Yung-ping.

Generality and reference :An examination of denoting in Russell's "Principles of Mathematics". - 1 online resource (222 pages)

Source: Dissertation Abstracts International, Volume: 56-10, Section: A, page: 4004.

Thesis (Ph.D.)--The University of Iowa, 1995.

Includes bibliographical references

This essay is a study of the theory of denoting concepts Russell proposed in his 1903 Principles of Mathematics. According to the theory, a denoting phrase such as "every man" is a referring expression. One problem facing such a theory is how to express the equipment of modern quantificational theory with bound and free variables. A quite different problem was raised by Russell in the famous "Gray's Elegy Argument" set forth in his 1905 article "On Denoting". Despite its being subject to a great deal of analysis, the argument remains unclear. Some regard it as a criticism of Frege's view on quantification, others regard it as a criticism of Russell's own theory of Principles. In the first part of this essay, I shall provide a new interpretation of the argument. Having refuted those who take the argument to be against Frege, I turn to three interpretations of Russell's 1903 theory. Each differs concerning the question about the occurrence of a denoting concept in a proposition. I call them "PoM-0", "PoM-1", and "PoM-2", respectively. Most commentators have taken PoM-0 as the historical background of the Gray's Elegy Argument. I shall argue that only PoM-1 and PoM-2 are historically viable. Set in the context of PoM-1 or PoME-2, the Gray's Elegy Argument is shown to offer a sound criticism of the theory of denoting concepts. The criticism can be avoided, but only at the expense of facing another difficulty, namely, the problem of logical form. This problem is the problem of specifying the logical structure of a denoting concept's occurrence as a concept versus its occurrence as a term. In the second part of this essay, I examine whether recent discussion of determiners and general quantifiers in natural language provides a solution to these problems. I point out that first order language seems unable to do so. On the other hand, a second order logic with nominalized predicates solves the problem, but any such theory relies on a solution of Russell's paradox of predication.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

Subjects--Topical Terms:

559771
Philosophy.
Index Terms--Genre/Form:

554714
Electronic books.

Generality and reference : = An examination of denoting in Russell's "Principles of Mathematics".
LDR:03215ntm a2200325Ki 4500 001 919075
005 20181116114322.5
006 m o u
007 cr mn||||a|a||
008 190606s1995 xx obm 000 0 eng d
035 $a (MiAaPQ)AAI9603108
035 $a AAI9603108
040 $a MiAaPQ $b eng $c MiAaPQ $d NTU
100 1 $a Yu, Yung-ping. $3 1193558
245 1 0 $a Generality and reference : $b An examination of denoting in Russell's "Principles of Mathematics".
264 0 $c 1995
300 $a 1 online resource (222 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 56-10, Section: A, page: 4004.
500 $a Supervisor: Gregory Landini.
502 $a Thesis (Ph.D.)--The University of Iowa, 1995.
504 $a Includes bibliographical references
520 $a This essay is a study of the theory of denoting concepts Russell proposed in his 1903 Principles of Mathematics. According to the theory, a denoting phrase such as "every man" is a referring expression. One problem facing such a theory is how to express the equipment of modern quantificational theory with bound and free variables. A quite different problem was raised by Russell in the famous "Gray's Elegy Argument" set forth in his 1905 article "On Denoting". Despite its being subject to a great deal of analysis, the argument remains unclear. Some regard it as a criticism of Frege's view on quantification, others regard it as a criticism of Russell's own theory of Principles. In the first part of this essay, I shall provide a new interpretation of the argument. Having refuted those who take the argument to be against Frege, I turn to three interpretations of Russell's 1903 theory. Each differs concerning the question about the occurrence of a denoting concept in a proposition. I call them "PoM-0", "PoM-1", and "PoM-2", respectively. Most commentators have taken PoM-0 as the historical background of the Gray's Elegy Argument. I shall argue that only PoM-1 and PoM-2 are historically viable. Set in the context of PoM-1 or PoME-2, the Gray's Elegy Argument is shown to offer a sound criticism of the theory of denoting concepts. The criticism can be avoided, but only at the expense of facing another difficulty, namely, the problem of logical form. This problem is the problem of specifying the logical structure of a denoting concept's occurrence as a concept versus its occurrence as a term. In the second part of this essay, I examine whether recent discussion of determiners and general quantifiers in natural language provides a solution to these problems. I point out that first order language seems unable to do so. On the other hand, a second order logic with nominalized predicates solves the problem, but any such theory relies on a solution of Russell's paradox of predication.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Philosophy. $3 559771
650 4 $a Mathematics. $3 527692
650 4 $a Language. $3 571568
655 7 $a Electronic books. $2 local $3 554714
690 $a 0422
690 $a 0405
690 $a 0679
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a The University of Iowa. $3 1189561
773 0 $t Dissertation Abstracts International $g 56-10A.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9603108 $z click for full text (PQDT)