Charles S Chihara
Biographic Data
| ID | 1105667 |
|---|---|
| NAME | Charles S Chihara |
| GIVEN NAMES | Charles S |
| FAMILY NAME | Chihara |
| SIGNATURE | CHIHARA C S |
| AFFILIATIONS | University of California, Berkeley |
| VERIFIED | No |
| TOTAL WORKS | 20 |
| TOTAL CITATIONS | 25 |
| AUTHOR COUNT | 20 |
| EDITOR COUNT | 0 |
| FIRST PUBLICATION YEAR | 1963 |
| LATEST PUBLICATION YEAR | 2010 |
| H-INDEX | 3 |
New directions for nominalist philosophers of mathematics
The present paper will argue that, for too long, many nominalists have concentrated their researches on the question of whether one could make sense of applications of mathematics (especially in science) without presupposing the existence of mathematical objects. This was, no doubt, due to the enormous influence of Quine's "Indispensability Argument", which challenged the nominalist to come up with an explanation of how science could be done with…
The Worlds of Possibility
Introduction 1. Possible Worlds Semantics 2. Transworld Identity 3. Modal Realism 4. Forbes's Anti-Modal Realism 5. The Semantics of Classical Predicate Logic 6. Modality without Worlds: The Semantics of Modal Sentential Logic 7. Quantificational Logic 8. Modality without Worlds: Explorations, Developments, and Defences 9. Anti-Realism in Mathematics Bibliography Index
A Biological Objection to Constructive Empiricism
Constructibility and Mathematical Existence
Constructibility and Mathematical Existence
Journal Article Book Reviews Get access Constructibility and Mathematical Existence. By Charles S. Chihara. (Oxford: Clarendon Press, 1990. Pp. xv + 282. Price £32.50.) M.D. Potter M.D. Potter Fitzwilliam College, Cambridge Search for other works by this author on: Oxford Academic Google Scholar The Philosophical Quarterly, Volume 41, Issue 164, July 1991, Pages 345–348, https://doi.org/10.2307/2220036 Published: 01 July 1991
Constructibility and mathematical existence
Guest editors' preface
Tharp's ?Myth and Mathematics
Some Problems for Bayesian Confirmation Theory
The semantic paradoxes
A Godelian Thesis Regarding Mathematical Objects
I n recent years, ontological Platonism1 has gained respectability in philosophical circles, primarily, I believe, because some distinguished logicians have defended certain arguments that are thought to support it. Among these I would like Kurt Gbdel, George Kreisel, and Willard Quine.2 This paper is concerned with a particular claim about Platonism in mathematics made by the first two mentioned above. In Part I, I shall assess what I take to be…
The Wright-Wing Defense of Wittgenstein's Philosophy of Logic
C rispin Wright's recent book purportedly is a systematic account of Wittgenstein's later philosophy of mathematics.' In this paper, I shall analyze Wright's defense of Wittgenstein's views on logical consistency, primarily for two reasons. First, this defense provides a crucial test of the Wright-Wittgenstein philosophy of logic: most of the basic theses attributed to Wittgenstein by Wright are brought into the defense. Second, focusing on this …
Quine and the Confirmational Paradoxes
The Semantic Paradoxes
I n this paper, I shall give diagnoses of the principal semantic paradoxes (or antinomies) that have played such a significant role in developments in the foundations of logic and mathematics.1 I use the term 'diagnoses' rather than the more standard 'solutions' for two principal reasons. First of all, I wish to indicate that I am concerned with only one of two closely related problems raised by the paradoxes. Alfred Tarski once remarked: appeara…
Wittgenstein's Analysis of the Paradoxes in His Lectures on the Foundations of Mathematics
L UDWIG Wittgenstein is still regarded in many circles as the greatest philosopher of the Twentieth Century.1 Hence, the publication of his 1939 lectures on the foundations of mathematics2 will undoubtedly be hailed by many as an important event, which makes a major contribution to the philosophical literature. From the point of view of Wittgensteinian scholarship, there can be little doubt that this publication is valuable, for the text was prep…
Ontology and the Vicious Circle Principle
Ontology and the Vicious Circle Principle
Journal Article Ontology and the Vicious Circle Principle Get access Ontology and the Vicious Circle Principle. By Charles Chihara. ( Cornell U.P., 1973. Pp. xvii + 259. Price £5.65 Tom Richards Tom Richards La Trobe University Search for other works by this author on: Oxford Academic Google Scholar The Philosophical Quarterly, Volume 25, Issue 98, January 1975, Pages 68–79, https://doi.org/10.2307/2217955 Published: 01 January 1975
What dreams are made on
On the Possibility of Completing an Infinite Process
Accelerating Turing machines are Turing machines of a sort able to perform tasks that are commonly regarded as impossible for Turing machines.For example, they can determine whether or not the decimal representation of π contains n consecutive 7s, for any n; solve the Turing-machine halting problem; and decide the predicate calculus.Are accelerating Turing machines, then, logically impossible devices?I argue that they are not.There are implicatio…
Mathematical Discovery and Concept Formation
I T HAS recently been claimed that in the philosophy of mathematics, Platonists, who hold among other things that the mathematician is primarily a discoverer of truths which are in some sense independent of us, stand opposed to constructivists who claim that the activity of the mathematician is essentially one of creating rather than finding.' Now, is the mathematician a discoverer or a creator? Compare
Some Problems for Bayesian Confirmation Theory
The Semantic Paradoxes
I n this paper, I shall give diagnoses of the principal semantic paradoxes (or antinomies) that have played such a significant role in developments in the foundations of logic and mathematics.1 I use the term 'diagnoses' rather than the more standard 'solutions' for two principal reasons. First of all, I wish to indicate that I am concerned with only one of two closely related problems raised by the paradoxes. Alfred Tarski once remarked: appeara…
On the Possibility of Completing an Infinite Process
Accelerating Turing machines are Turing machines of a sort able to perform tasks that are commonly regarded as impossible for Turing machines.For example, they can determine whether or not the decimal representation of π contains n consecutive 7s, for any n; solve the Turing-machine halting problem; and decide the predicate calculus.Are accelerating Turing machines, then, logically impossible devices?I argue that they are not.There are implicatio…
A Biological Objection to Constructive Empiricism
Wittgenstein's Analysis of the Paradoxes in His Lectures on the Foundations of Mathematics
L UDWIG Wittgenstein is still regarded in many circles as the greatest philosopher of the Twentieth Century.1 Hence, the publication of his 1939 lectures on the foundations of mathematics2 will undoubtedly be hailed by many as an important event, which makes a major contribution to the philosophical literature. From the point of view of Wittgensteinian scholarship, there can be little doubt that this publication is valuable, for the text was prep…
Tharp's ?Myth and Mathematics
Mathematical Discovery and Concept Formation
I T HAS recently been claimed that in the philosophy of mathematics, Platonists, who hold among other things that the mathematician is primarily a discoverer of truths which are in some sense independent of us, stand opposed to constructivists who claim that the activity of the mathematician is essentially one of creating rather than finding.' Now, is the mathematician a discoverer or a creator? Compare
What dreams are made on
On the Possibility of Completing an Infinite Process
Accelerating Turing machines are Turing machines of a sort able to perform tasks that are commonly regarded as impossible for Turing machines.For example, they can determine whether or not the decimal representation of π contains n consecutive 7s, for any n; solve the Turing-machine halting problem; and decide the predicate calculus.Are accelerating Turing machines, then, logically impossible devices?I argue that they are not.There are implicatio…
Ontology and the Vicious Circle Principle
Journal Article Ontology and the Vicious Circle Principle Get access Ontology and the Vicious Circle Principle. By Charles Chihara. ( Cornell U.P., 1973. Pp. xvii + 259. Price £5.65 Tom Richards Tom Richards La Trobe University Search for other works by this author on: Oxford Academic Google Scholar The Philosophical Quarterly, Volume 25, Issue 98, January 1975, Pages 68–79, https://doi.org/10.2307/2217955 Published: 01 January 1975
Ontology and the Vicious Circle Principle
Wittgenstein's Analysis of the Paradoxes in His Lectures on the Foundations of Mathematics
L UDWIG Wittgenstein is still regarded in many circles as the greatest philosopher of the Twentieth Century.1 Hence, the publication of his 1939 lectures on the foundations of mathematics2 will undoubtedly be hailed by many as an important event, which makes a major contribution to the philosophical literature. From the point of view of Wittgensteinian scholarship, there can be little doubt that this publication is valuable, for the text was prep…
The Semantic Paradoxes
I n this paper, I shall give diagnoses of the principal semantic paradoxes (or antinomies) that have played such a significant role in developments in the foundations of logic and mathematics.1 I use the term 'diagnoses' rather than the more standard 'solutions' for two principal reasons. First of all, I wish to indicate that I am concerned with only one of two closely related problems raised by the paradoxes. Alfred Tarski once remarked: appeara…
Quine and the Confirmational Paradoxes
A Godelian Thesis Regarding Mathematical Objects
I n recent years, ontological Platonism1 has gained respectability in philosophical circles, primarily, I believe, because some distinguished logicians have defended certain arguments that are thought to support it. Among these I would like Kurt Gbdel, George Kreisel, and Willard Quine.2 This paper is concerned with a particular claim about Platonism in mathematics made by the first two mentioned above. In Part I, I shall assess what I take to be…
The Wright-Wing Defense of Wittgenstein's Philosophy of Logic
C rispin Wright's recent book purportedly is a systematic account of Wittgenstein's later philosophy of mathematics.' In this paper, I shall analyze Wright's defense of Wittgenstein's views on logical consistency, primarily for two reasons. First, this defense provides a crucial test of the Wright-Wittgenstein philosophy of logic: most of the basic theses attributed to Wittgenstein by Wright are brought into the defense. Second, focusing on this …
The semantic paradoxes
Some Problems for Bayesian Confirmation Theory
Guest editors' preface
Tharp's ?Myth and Mathematics
Constructibility and Mathematical Existence
Journal Article Book Reviews Get access Constructibility and Mathematical Existence. By Charles S. Chihara. (Oxford: Clarendon Press, 1990. Pp. xv + 282. Price £32.50.) M.D. Potter M.D. Potter Fitzwilliam College, Cambridge Search for other works by this author on: Oxford Academic Google Scholar The Philosophical Quarterly, Volume 41, Issue 164, July 1991, Pages 345–348, https://doi.org/10.2307/2220036 Published: 01 July 1991
Constructibility and mathematical existence
Constructibility and Mathematical Existence
A Biological Objection to Constructive Empiricism
The Worlds of Possibility
Introduction 1. Possible Worlds Semantics 2. Transworld Identity 3. Modal Realism 4. Forbes's Anti-Modal Realism 5. The Semantics of Classical Predicate Logic 6. Modality without Worlds: The Semantics of Modal Sentential Logic 7. Quantificational Logic 8. Modality without Worlds: Explorations, Developments, and Defences 9. Anti-Realism in Mathematics Bibliography Index
New directions for nominalist philosophers of mathematics
The present paper will argue that, for too long, many nominalists have concentrated their researches on the question of whether one could make sense of applications of mathematics (especially in science) without presupposing the existence of mathematical objects. This was, no doubt, due to the enormous influence of Quine's "Indispensability Argument", which challenged the nominalist to come up with an explanation of how science could be done with…
Philosophy (18 works) · Epistemology (17 works) · Computer Science (10 works) · Contemporary philosophy (9 works) · Philosophy and Theoretical Science (9 works) · Analytic philosophy (8 works) · General interest (7 works) · Mathematics (5 works) · Philosophy and History of Science (5 works) · Philosophy of science (5 works)