Michael Potter
- Published in print:
- 2002
- Published Online:
- May 2007
- ISBN:
- 9780199252619
- eISBN:
- 9780191712647
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199252619.001.0001
- Subject:
- Philosophy, Logic/Philosophy of Mathematics
This book is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s. It reassesses the brilliant ...
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This book is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s. It reassesses the brilliant innovations of Frege, Russell, Wittgenstein, and others, which transformed philosophy as well as the understanding of mathematics. The book argues that through the problem of arithmetic participates in the larger puzzle of the relationship between thought, language, experience, and the world, we can distinguish accounts that look to each of these to supply the content we require: those that involve the structure of our experience of the world; those that explicitly involve our grasp of a ‘third realm’ of abstract objects distinct from the concrete objects of the empirical world and the ideas of the author's private Gedankenwelt; those that appeal to something non-physical that is nevertheless an aspect of reality in harmony with which the physical aspect of the world is configured; and finally those that involve only our grasp of language.Less
This book is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s. It reassesses the brilliant innovations of Frege, Russell, Wittgenstein, and others, which transformed philosophy as well as the understanding of mathematics. The book argues that through the problem of arithmetic participates in the larger puzzle of the relationship between thought, language, experience, and the world, we can distinguish accounts that look to each of these to supply the content we require: those that involve the structure of our experience of the world; those that explicitly involve our grasp of a ‘third realm’ of abstract objects distinct from the concrete objects of the empirical world and the ideas of the author's private Gedankenwelt; those that appeal to something non-physical that is nevertheless an aspect of reality in harmony with which the physical aspect of the world is configured; and finally those that involve only our grasp of language.
P. M. S Hacker
- Published in print:
- 2001
- Published Online:
- April 2005
- ISBN:
- 9780199245697
- eISBN:
- 9780191602245
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/019924569X.001.0001
- Subject:
- Philosophy, History of Philosophy
Consists of 13 thematically linked essays on different aspects of the philosophy of Wittgenstein, by one of the leading commentators on his work. After an opening overview of Wittgenstein’s ...
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Consists of 13 thematically linked essays on different aspects of the philosophy of Wittgenstein, by one of the leading commentators on his work. After an opening overview of Wittgenstein’s philosophy, the following essays fall into two classes: those that investigate connections between the philosophy of Wittgenstein and other philosophers and philosophical trends, and those which enter into some of the controversies that, over the last two decades, have raged over the interpretation of one aspect or another of Wittgenstein’s writings. The connections that are explored include the relationship between Wittgenstein's philosophy and the humanistic and hermeneutic traditions in European philosophy, Wittgenstein’s response to Frazer’s Golden Bough and the interpretation of ritual actions, his attitude towards and criticisms of Frege (both in the Tractatus and in the later philosophy), the relationship between his ideas and those of members of the Vienna Circle on the matter of ostensive definition, and a comparison of Carnap’s conception of the elimination of metaphysics and of Strawson’s rehabilitation of metaphysics with Wittgenstein's later criticisms of metaphysics. The controversies into which Hacker enters include the Diamond–Conant interpretation of the Tractatus (which is shown to be inconsistent with the text of the Tractatus and with Wittgenstein’s explanations of and comments on his book), Winch's interpretation of the Tractatus conception of names, Kripke’s interpretation of Wittgenstein’s discussion of following a rule (which is demonstrated to be remote from Wittgenstein’s intentions), and Malcolm’s defence of the idea that Wittgenstein claimed that mastery of a language logically requires that the language be shared with other speakers. These far-ranging essays, several of them difficult to find or not published elsewhere, shed much light on different aspects of Wittgenstein’s thought, and on the controversies that it has stimulated.Less
Consists of 13 thematically linked essays on different aspects of the philosophy of Wittgenstein, by one of the leading commentators on his work. After an opening overview of Wittgenstein’s philosophy, the following essays fall into two classes: those that investigate connections between the philosophy of Wittgenstein and other philosophers and philosophical trends, and those which enter into some of the controversies that, over the last two decades, have raged over the interpretation of one aspect or another of Wittgenstein’s writings. The connections that are explored include the relationship between Wittgenstein's philosophy and the humanistic and hermeneutic traditions in European philosophy, Wittgenstein’s response to Frazer’s Golden Bough and the interpretation of ritual actions, his attitude towards and criticisms of Frege (both in the Tractatus and in the later philosophy), the relationship between his ideas and those of members of the Vienna Circle on the matter of ostensive definition, and a comparison of Carnap’s conception of the elimination of metaphysics and of Strawson’s rehabilitation of metaphysics with Wittgenstein's later criticisms of metaphysics. The controversies into which Hacker enters include the Diamond–Conant interpretation of the Tractatus (which is shown to be inconsistent with the text of the Tractatus and with Wittgenstein’s explanations of and comments on his book), Winch's interpretation of the Tractatus conception of names, Kripke’s interpretation of Wittgenstein’s discussion of following a rule (which is demonstrated to be remote from Wittgenstein’s intentions), and Malcolm’s defence of the idea that Wittgenstein claimed that mastery of a language logically requires that the language be shared with other speakers. These far-ranging essays, several of them difficult to find or not published elsewhere, shed much light on different aspects of Wittgenstein’s thought, and on the controversies that it has stimulated.
Barry Stroud
- Published in print:
- 1984
- Published Online:
- November 2003
- ISBN:
- 9780198247616
- eISBN:
- 9780191598494
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198247613.001.0001
- Subject:
- Philosophy, Metaphysics/Epistemology
The thesis of scepticism is a thesis about the human condition: the view that we can know nothing, or that nothing is certain, or that everything is open to doubt. This book examines the sceptical ...
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The thesis of scepticism is a thesis about the human condition: the view that we can know nothing, or that nothing is certain, or that everything is open to doubt. This book examines the sceptical thesis that we can know nothing about the physical world around us. The author argues that the sceptical thesis is motivated by a persistent philosophical problem that calls the very possibility of knowledge about the external world into question, and that the sceptical thesis is the only acceptable answer to this problem as traditionally posed.On the basis of a detailed analysis of the sceptical argument advanced by Descartes, Stroud discusses and criticizes responses to scepticism by a wide range of writers, including J. L. Austin, G. E. Moore, Kant, R. Carnap, and W. V. Quine. In this discussion, Stroud is concerned with the significance of philosophical scepticism in three different respects.Firstly, he shows philosophical scepticism to be significant as opposed to insignificant or unimportant: the philosophical study of knowledge is not an idle exercise, and the comforting popular belief that we already understand quite well how and why philosophical scepticism goes wrong is simply not true.Secondly, Stroud argues for the significance of philosophical scepticism by defending it against the charge that it is meaningless or incoherent or unintelligible, and in doing so aims to articulate as clearly as possible what exactly it does mean.Thirdly, and most importantly, Stroud argues that philosophical scepticism is significant in virtue of what it signifies, or indicates, or shows: even if the sceptical thesis turned out to be false, meant nothing, or not what it seemed to mean, the study of scepticism about the the world around us would still reveal something deep and important about human knowledge and human nature and the urge to understand them philosophically. One aim of the book is to investigate how and why this is so. Engaging in a philosophical reflection about our knowledge of the external world in this way, Stroud argues, can also reveal something about the nature of philosophical problems generally and about philosophy itself; studying the sources of the philosophical problem of scepticism can yield some degree of philosophical understanding or illumination even if we never arrive at something we can regard as a solution to that problem.Less
The thesis of scepticism is a thesis about the human condition: the view that we can know nothing, or that nothing is certain, or that everything is open to doubt. This book examines the sceptical thesis that we can know nothing about the physical world around us. The author argues that the sceptical thesis is motivated by a persistent philosophical problem that calls the very possibility of knowledge about the external world into question, and that the sceptical thesis is the only acceptable answer to this problem as traditionally posed.
On the basis of a detailed analysis of the sceptical argument advanced by Descartes, Stroud discusses and criticizes responses to scepticism by a wide range of writers, including J. L. Austin, G. E. Moore, Kant, R. Carnap, and W. V. Quine. In this discussion, Stroud is concerned with the significance of philosophical scepticism in three different respects.
Firstly, he shows philosophical scepticism to be significant as opposed to insignificant or unimportant: the philosophical study of knowledge is not an idle exercise, and the comforting popular belief that we already understand quite well how and why philosophical scepticism goes wrong is simply not true.
Secondly, Stroud argues for the significance of philosophical scepticism by defending it against the charge that it is meaningless or incoherent or unintelligible, and in doing so aims to articulate as clearly as possible what exactly it does mean.
Thirdly, and most importantly, Stroud argues that philosophical scepticism is significant in virtue of what it signifies, or indicates, or shows: even if the sceptical thesis turned out to be false, meant nothing, or not what it seemed to mean, the study of scepticism about the the world around us would still reveal something deep and important about human knowledge and human nature and the urge to understand them philosophically. One aim of the book is to investigate how and why this is so. Engaging in a philosophical reflection about our knowledge of the external world in this way, Stroud argues, can also reveal something about the nature of philosophical problems generally and about philosophy itself; studying the sources of the philosophical problem of scepticism can yield some degree of philosophical understanding or illumination even if we never arrive at something we can regard as a solution to that problem.
Nathan Salmon
- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780199284726
- eISBN:
- 9780191713774
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199284726.003.0010
- Subject:
- Philosophy, Philosophy of Language
This chapter criticizes the traditional conventionalist notion of analyticity. A notion of analyticity is proposed, on which sentences widely regarded as contingent a priori are, although indeed ...
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This chapter criticizes the traditional conventionalist notion of analyticity. A notion of analyticity is proposed, on which sentences widely regarded as contingent a priori are, although indeed contingent, a posteriori yet analytic. A particular candidate is considered: ‘π is the ratio (if there is a fixed such ratio) of the circumference of a circle to its diameter’.Less
This chapter criticizes the traditional conventionalist notion of analyticity. A notion of analyticity is proposed, on which sentences widely regarded as contingent a priori are, although indeed contingent, a posteriori yet analytic. A particular candidate is considered: ‘π is the ratio (if there is a fixed such ratio) of the circumference of a circle to its diameter’.
Michael Potter
- Published in print:
- 2002
- Published Online:
- May 2007
- ISBN:
- 9780199252619
- eISBN:
- 9780191712647
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199252619.003.0013
- Subject:
- Philosophy, Logic/Philosophy of Mathematics
This concluding chapter summarizes the discussion in the preceding chapters. The book sought an answer to the question: can we give an account of arithmetic which does not make it depend for its ...
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This concluding chapter summarizes the discussion in the preceding chapters. The book sought an answer to the question: can we give an account of arithmetic which does not make it depend for its truth on the way the world is? And if so, what constrains the world to conform to arithmetic? All the accounts we have considered have turned out to be flawed. But what is striking is how often an account was rejected not for philosophical reasons but for technical ones. It is shown that since the problem of arithmetic participates in the larger puzzle of the relationship between thought, language, experience, and the world, we can distinguish accounts that look to each of these to supply the content we require.Less
This concluding chapter summarizes the discussion in the preceding chapters. The book sought an answer to the question: can we give an account of arithmetic which does not make it depend for its truth on the way the world is? And if so, what constrains the world to conform to arithmetic? All the accounts we have considered have turned out to be flawed. But what is striking is how often an account was rejected not for philosophical reasons but for technical ones. It is shown that since the problem of arithmetic participates in the larger puzzle of the relationship between thought, language, experience, and the world, we can distinguish accounts that look to each of these to supply the content we require.
Bronwyn Finnigan and Koji Tanaka
- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199751426
- eISBN:
- 9780199827190
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199751426.003.0011
- Subject:
- Religion, Buddhism
A consequence of the Mādhyamika notion of two truths is that the normative role of truth is flattened, and thus the conventional authority of epistemic practices is undermined. This chapter offers a ...
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A consequence of the Mādhyamika notion of two truths is that the normative role of truth is flattened, and thus the conventional authority of epistemic practices is undermined. This chapter offers a way out of the dismal slough of pure conventionalism by putting the notion of the two truths in dialogue with the twentieth-century philosopher Rudolph Carnap. A consideration of two truths in the context of Carnap’s pragmatism brings to surface the relationship between the semantic issue of the two truths and practical matters such as action and ethics.Less
A consequence of the Mādhyamika notion of two truths is that the normative role of truth is flattened, and thus the conventional authority of epistemic practices is undermined. This chapter offers a way out of the dismal slough of pure conventionalism by putting the notion of the two truths in dialogue with the twentieth-century philosopher Rudolph Carnap. A consideration of two truths in the context of Carnap’s pragmatism brings to surface the relationship between the semantic issue of the two truths and practical matters such as action and ethics.
Mary Leng
- Published in print:
- 2010
- Published Online:
- May 2010
- ISBN:
- 9780199280797
- eISBN:
- 9780191723452
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199280797.003.0002
- Subject:
- Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology
This chapter clarifies and motivates the naturalist premise of the indispensability argument, which holds that we should look to our best scientific theories to discover what we have reason to ...
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This chapter clarifies and motivates the naturalist premise of the indispensability argument, which holds that we should look to our best scientific theories to discover what we have reason to believe. It distinguishes Quinean naturalism from an even more modest form of naturalism, according to which philosophers should hold back from questioning the truth of utterances made in the context of successful scientific theorizing. And it considers the debate between Carnap and Quine over ontological questions, following Quine in accepting that practical reasons to speak as if there are Fs can sometimes be viewed as providing evidence for the existence of Fs. It notes that Quine's claim that practical reasons are always evidential can only be plausible when applied to our best scientific theories, from which merely practical ways of speaking have been ironed out, hence the focus on the indispensability of mathematics to our best theories.Less
This chapter clarifies and motivates the naturalist premise of the indispensability argument, which holds that we should look to our best scientific theories to discover what we have reason to believe. It distinguishes Quinean naturalism from an even more modest form of naturalism, according to which philosophers should hold back from questioning the truth of utterances made in the context of successful scientific theorizing. And it considers the debate between Carnap and Quine over ontological questions, following Quine in accepting that practical reasons to speak as if there are Fs can sometimes be viewed as providing evidence for the existence of Fs. It notes that Quine's claim that practical reasons are always evidential can only be plausible when applied to our best scientific theories, from which merely practical ways of speaking have been ironed out, hence the focus on the indispensability of mathematics to our best theories.
Bas C. van Fraassen
- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780199278220
- eISBN:
- 9780191707926
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199278220.003.00011
- Subject:
- Philosophy, Philosophy of Mind, Philosophy of Science
In his Logische Aufbau, Rudolf Carnap presented a structuralist philosophy of science. Carnap exhibited a fluctuating awareness of the difficulty besetting that programme, and of the limited options ...
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In his Logische Aufbau, Rudolf Carnap presented a structuralist philosophy of science. Carnap exhibited a fluctuating awareness of the difficulty besetting that programme, and of the limited options his epistemology allowed for escape. The option he finally chose has the form of solution that Newman suggested, somewhat ironically, to Russell. But Carnap attempted simultaneously to refer to experience and to claim that the notions he needed are experience-independent. The basic problem returned after some decades when Hilary Putnam put it to good use in his seminal critique of metaphysical realism. It is argued that in both cases, a dissolution of problem is possible with the introduction of indexical reference.Less
In his Logische Aufbau, Rudolf Carnap presented a structuralist philosophy of science. Carnap exhibited a fluctuating awareness of the difficulty besetting that programme, and of the limited options his epistemology allowed for escape. The option he finally chose has the form of solution that Newman suggested, somewhat ironically, to Russell. But Carnap attempted simultaneously to refer to experience and to claim that the notions he needed are experience-independent. The basic problem returned after some decades when Hilary Putnam put it to good use in his seminal critique of metaphysical realism. It is argued that in both cases, a dissolution of problem is possible with the introduction of indexical reference.
Bas C. van Fraassen
- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780199278220
- eISBN:
- 9780191707926
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199278220.003.00012
- Subject:
- Philosophy, Philosophy of Mind, Philosophy of Science
The mechanization and mathematization of the world-picture in modern science has a rightful claim upon us to develop views of science that do justice to its revolutionary impact on the sciences ...
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The mechanization and mathematization of the world-picture in modern science has a rightful claim upon us to develop views of science that do justice to its revolutionary impact on the sciences themselves. This claim is honoured in the century-long attempts to develop structuralist views of science, the recurrent defeats of such views notwithstanding. It is argued that the defeats were not inevitable. The structuralism here developed however, as a view of science rather than a view of nature, can find its proper articulation only in an empiricist setting. Essential to an empiricist structuralism is the following core construal of the slogan that all we know is structure: (I) Science represents the empirical phenomena as embeddable in certain abstract structures (theoretical models); (II) Those abstract structures are describable only up to structural isomorphism. This faces at once the Weyl's paradox introduced in Chapter 8; but the lessons concerning indexicality learned from the cases of Russell, Carnap, and Putnam show the way out of the paradox.Less
The mechanization and mathematization of the world-picture in modern science has a rightful claim upon us to develop views of science that do justice to its revolutionary impact on the sciences themselves. This claim is honoured in the century-long attempts to develop structuralist views of science, the recurrent defeats of such views notwithstanding. It is argued that the defeats were not inevitable. The structuralism here developed however, as a view of science rather than a view of nature, can find its proper articulation only in an empiricist setting. Essential to an empiricist structuralism is the following core construal of the slogan that all we know is structure: (I) Science represents the empirical phenomena as embeddable in certain abstract structures (theoretical models); (II) Those abstract structures are describable only up to structural isomorphism. This faces at once the Weyl's paradox introduced in Chapter 8; but the lessons concerning indexicality learned from the cases of Russell, Carnap, and Putnam show the way out of the paradox.
Sanford Shieh
- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199890576
- eISBN:
- 9780199980031
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199890576.003.0013
- Subject:
- Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics
This chapter treats C. I. Lewis' criticism of Bertrand Russell's material implication. This chapter gives an overview of the differences between Russell's conception of logic and contemporary ones. ...
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This chapter treats C. I. Lewis' criticism of Bertrand Russell's material implication. This chapter gives an overview of the differences between Russell's conception of logic and contemporary ones. Lewis's criticism is often taken to rest on the divergence between material implication and our intuitive conception of logical consequence. The chapter argues that a more fundamental criticism Lewis makes is internal to Russell's conception: for Russell a system of logic must not merely enable correct inferences to be made; it must state correct implications. Lewis came to hold that a primitive notion of possibility is required if the laws of logic are to capture the facts of inferential practice. But Lewis's incorporation of modality is meant to revise Principia to make its axioms properly logical. The chapter concludes the chapter by sketching some other aspects of this history, from Wittgenstein through Carnap, Quine and the full re-emergence of modal notions in analytic philosophy.Less
This chapter treats C. I. Lewis' criticism of Bertrand Russell's material implication. This chapter gives an overview of the differences between Russell's conception of logic and contemporary ones. Lewis's criticism is often taken to rest on the divergence between material implication and our intuitive conception of logical consequence. The chapter argues that a more fundamental criticism Lewis makes is internal to Russell's conception: for Russell a system of logic must not merely enable correct inferences to be made; it must state correct implications. Lewis came to hold that a primitive notion of possibility is required if the laws of logic are to capture the facts of inferential practice. But Lewis's incorporation of modality is meant to revise Principia to make its axioms properly logical. The chapter concludes the chapter by sketching some other aspects of this history, from Wittgenstein through Carnap, Quine and the full re-emergence of modal notions in analytic philosophy.
Leila Haaparanta
- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199890576
- eISBN:
- 9780199980031
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199890576.003.0014
- Subject:
- Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics
The chapter begins with the observation that one disagreement between logical empiricism and early analytic philosophy, on the one hand, and early phenomenology, on the other, concerned the relations ...
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The chapter begins with the observation that one disagreement between logical empiricism and early analytic philosophy, on the one hand, and early phenomenology, on the other, concerned the relations between logic and metaphysics. This chapter seeks to open up that disagreement. The chapter first discusses Frege’s doctrine of “being” and being and elaborates the interpretation she proposed and developed in the eighties. The chapter argues that Frege’s ideas of “being” and being fall between those of Carnap and Heidegger. The chapter also discusses Carnap’s attack against metaphysics in general and against Heidegger’s metaphysics in particular. In the end, it makes a few remarks on Frege’s view of judging and being. The chapter argues that the so called veridical meaning of “is” played a central role in Frege’s conceptual notation; moreover, if we take that point seriously, we may have reason to modify the view that Frege held the thesis concerning the ambiguity of “is”.Less
The chapter begins with the observation that one disagreement between logical empiricism and early analytic philosophy, on the one hand, and early phenomenology, on the other, concerned the relations between logic and metaphysics. This chapter seeks to open up that disagreement. The chapter first discusses Frege’s doctrine of “being” and being and elaborates the interpretation she proposed and developed in the eighties. The chapter argues that Frege’s ideas of “being” and being fall between those of Carnap and Heidegger. The chapter also discusses Carnap’s attack against metaphysics in general and against Heidegger’s metaphysics in particular. In the end, it makes a few remarks on Frege’s view of judging and being. The chapter argues that the so called veridical meaning of “is” played a central role in Frege’s conceptual notation; moreover, if we take that point seriously, we may have reason to modify the view that Frege held the thesis concerning the ambiguity of “is”.
Penelope Maddy
- Published in print:
- 2007
- Published Online:
- January 2009
- ISBN:
- 9780199273669
- eISBN:
- 9780191706264
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199273669.003.0006
- Subject:
- Philosophy, Logic/Philosophy of Mathematics
Like Kant, Carnap holds that many traditional philosophical controversies are actually ill-posed pseudo-problems. In Carnap's eyes, for example, there's no fact about which the skeptic and the ...
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Like Kant, Carnap holds that many traditional philosophical controversies are actually ill-posed pseudo-problems. In Carnap's eyes, for example, there's no fact about which the skeptic and the non-sceptic are disagreeing. The only real question in the vicinity concerns the best kind of linguistic framework to adopt — in particular, whether or not to adopt evidential rules strong enough to allow the existence of physical objects to be confirmed — and this is a matter of conventional, pragmatic choice, not of truth or falsity. When the Second Philosopher insists she has good evidence for the existence of ordinary objects, and even of unobservable atoms, Carnap's response echoes Kant's: for her purposes, operating inside the linguistic framework of science, she's quite right, but there is another inquiry, the Logic of Science, where other concerns (ending the pseudo-debate between the sceptic and his opponent or the scientific realist and his opponent) are addressed by other methods (rational reconstruction). Like Kant, Carnap sees two distinct levels of inquiry, the Second Philosopher only one.Less
Like Kant, Carnap holds that many traditional philosophical controversies are actually ill-posed pseudo-problems. In Carnap's eyes, for example, there's no fact about which the skeptic and the non-sceptic are disagreeing. The only real question in the vicinity concerns the best kind of linguistic framework to adopt — in particular, whether or not to adopt evidential rules strong enough to allow the existence of physical objects to be confirmed — and this is a matter of conventional, pragmatic choice, not of truth or falsity. When the Second Philosopher insists she has good evidence for the existence of ordinary objects, and even of unobservable atoms, Carnap's response echoes Kant's: for her purposes, operating inside the linguistic framework of science, she's quite right, but there is another inquiry, the Logic of Science, where other concerns (ending the pseudo-debate between the sceptic and his opponent or the scientific realist and his opponent) are addressed by other methods (rational reconstruction). Like Kant, Carnap sees two distinct levels of inquiry, the Second Philosopher only one.
Penelope Maddy
- Published in print:
- 2007
- Published Online:
- January 2009
- ISBN:
- 9780199273669
- eISBN:
- 9780191706264
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199273669.003.0023
- Subject:
- Philosophy, Logic/Philosophy of Mathematics
This chapter returns to the compare-and-contrast approach of Part I, focusing this time on van Fraassen's constructive empiricism. The constructive empiricist holds that no evidence can support the ...
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This chapter returns to the compare-and-contrast approach of Part I, focusing this time on van Fraassen's constructive empiricism. The constructive empiricist holds that no evidence can support the claim that unobservable entities exist, which seems to deny the force of the accepted scientific evidence for the existence of atoms. In a move familiar from Kant, Carnap, and Putnam, van Fraassen agrees that the Second Philosopher's evidence is valid for her purposes, but posits another level of inquiry — philosophical or epistemological inquiry — where the existence of atoms can never be confirmed. As before, the Second Philosopher sees this other inquiry as unmotivated and its methods unclear, but this doesn't ally her with van Fraassen's opponents, the scientific realists, who join him in thinking the ordinary evidence needs some kind of supplementation. The chapter closes with an examination of Worrall's anti-naturalism.Less
This chapter returns to the compare-and-contrast approach of Part I, focusing this time on van Fraassen's constructive empiricism. The constructive empiricist holds that no evidence can support the claim that unobservable entities exist, which seems to deny the force of the accepted scientific evidence for the existence of atoms. In a move familiar from Kant, Carnap, and Putnam, van Fraassen agrees that the Second Philosopher's evidence is valid for her purposes, but posits another level of inquiry — philosophical or epistemological inquiry — where the existence of atoms can never be confirmed. As before, the Second Philosopher sees this other inquiry as unmotivated and its methods unclear, but this doesn't ally her with van Fraassen's opponents, the scientific realists, who join him in thinking the ordinary evidence needs some kind of supplementation. The chapter closes with an examination of Worrall's anti-naturalism.
Gabriel Sandu and Tuomo Aho
- Published in print:
- 2009
- Published Online:
- September 2009
- ISBN:
- 9780195137316
- eISBN:
- 9780199867912
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195137316.003.0040
- Subject:
- Philosophy, Logic/Philosophy of Mathematics
This chapter explores logical semantics, that is, the structural meaning of logical expressions like connectives (it is not the case that, either or, if … then), quantifiers (there is, for all, ...
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This chapter explores logical semantics, that is, the structural meaning of logical expressions like connectives (it is not the case that, either or, if … then), quantifiers (there is, for all, etc.), and modalities (it is necessary that, it is possible that). It focuses on truth-theoretical semantics for formalized languages, a tradition emerging from Carnap's and Tarski's work in the first half of the last century that specifies the meaning of these expressions in terms of the truth-conditions of the sentences in which they occur. It considers Tarski-style definitions of the semantics of a given language in a stronger metalanguage, Tarski's impossibility results, and attempts to overcome them in the post-Tarskian tradition.Less
This chapter explores logical semantics, that is, the structural meaning of logical expressions like connectives (it is not the case that, either or, if … then), quantifiers (there is, for all, etc.), and modalities (it is necessary that, it is possible that). It focuses on truth-theoretical semantics for formalized languages, a tradition emerging from Carnap's and Tarski's work in the first half of the last century that specifies the meaning of these expressions in terms of the truth-conditions of the sentences in which they occur. It considers Tarski-style definitions of the semantics of a given language in a stronger metalanguage, Tarski's impossibility results, and attempts to overcome them in the post-Tarskian tradition.
C. Anthony Anderson
- Published in print:
- 2009
- Published Online:
- May 2009
- ISBN:
- 9780195367881
- eISBN:
- 9780199867585
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195367881.003.0002
- Subject:
- Philosophy, Philosophy of Language
This chapter focuses on David Kaplan's work where formal logic plays an explicit or strongly implicit role. Topics covered include David's dissertation, which is squarely in the Frege‐Church ...
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This chapter focuses on David Kaplan's work where formal logic plays an explicit or strongly implicit role. Topics covered include David's dissertation, which is squarely in the Frege‐Church tradition but takes into account the then‐novel ideas of Carnap on modal logic; his isolation and clarification of the idea of a standard name of something; and the paradox of Knower. It is argued that Kaplan's philosophical work often has a formal system or its semantics either in front of or in back of the discussion. There is, however, none of the flaunting of symbols that one learns early on can be used to intimidate those who are quantificationally challenged. The formalism is used for what it is good for—to crystallize ideas and to test their consequences, which is the true method of analytic philosophy.Less
This chapter focuses on David Kaplan's work where formal logic plays an explicit or strongly implicit role. Topics covered include David's dissertation, which is squarely in the Frege‐Church tradition but takes into account the then‐novel ideas of Carnap on modal logic; his isolation and clarification of the idea of a standard name of something; and the paradox of Knower. It is argued that Kaplan's philosophical work often has a formal system or its semantics either in front of or in back of the discussion. There is, however, none of the flaunting of symbols that one learns early on can be used to intimidate those who are quantificationally challenged. The formalism is used for what it is good for—to crystallize ideas and to test their consequences, which is the true method of analytic philosophy.
Michael Tooley
- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199604760
- eISBN:
- 9780191741548
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199604760.003.0008
- Subject:
- Philosophy, Philosophy of Religion, Metaphysics/Epistemology
Suppose that the world contains n events, each of which is such that, judged in the light of the totality of known rightmaking and wrongmaking properties, it would be morally wrong for anyone to ...
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Suppose that the world contains n events, each of which is such that, judged in the light of the totality of known rightmaking and wrongmaking properties, it would be morally wrong for anyone to allow the event in question. What is the logical probability — given only that evidence — that at least one of those n events is such that the totality of the rightmaking and wrongmaking properties, both known and unknown, of allowing that event makes that action morally wrong? Answering this question is the task of this chapter and it requires a rigorous application of inductive logic. It is shown that a Carnapian, structure-description approach entails that the probability must be less than ( 1 n + 1 ) . But the existence of such an event is logically incompatible with the existence of God, and so the probability that God exists, relative to evidence of the sort described, must be less than ( 1 n + 1 ) .Less
Suppose that the world contains n events, each of which is such that, judged in the light of the totality of known rightmaking and wrongmaking properties, it would be morally wrong for anyone to allow the event in question. What is the logical probability — given only that evidence — that at least one of those n events is such that the totality of the rightmaking and wrongmaking properties, both known and unknown, of allowing that event makes that action morally wrong? Answering this question is the task of this chapter and it requires a rigorous application of inductive logic. It is shown that a Carnapian, structure-description approach entails that the probability must be less than ( 1 n + 1 ) . But the existence of such an event is logically incompatible with the existence of God, and so the probability that God exists, relative to evidence of the sort described, must be less than ( 1 n + 1 ) .
John Skorupski
- Published in print:
- 2005
- Published Online:
- July 2005
- ISBN:
- 9780195148770
- eISBN:
- 9780199835560
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195148770.003.0003
- Subject:
- Philosophy, Logic/Philosophy of Mathematics
This chapter provides a broadly sympathetic historical account of post-Kantian empiricist approaches to mathematics and logic. It focuses primarily but on John Stuart Mill’s radical empiricism and ...
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This chapter provides a broadly sympathetic historical account of post-Kantian empiricist approaches to mathematics and logic. It focuses primarily but on John Stuart Mill’s radical empiricism and logical positivism, but also on Rudolf Carnap and Moritz Schlick. The later work of W. V. O. Quine is also treated.Less
This chapter provides a broadly sympathetic historical account of post-Kantian empiricist approaches to mathematics and logic. It focuses primarily but on John Stuart Mill’s radical empiricism and logical positivism, but also on Rudolf Carnap and Moritz Schlick. The later work of W. V. O. Quine is also treated.
Penelope Maddy
- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199608553
- eISBN:
- 9780191729645
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199608553.003.0007
- Subject:
- Philosophy, History of Philosophy, Metaphysics/Epistemology
The goal of this paper is to characterize a particularly austere form of contemporary naturalism called ‘Second Philosophy’ using radical skepticism about the external world as a diagnostic ...
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The goal of this paper is to characterize a particularly austere form of contemporary naturalism called ‘Second Philosophy’ using radical skepticism about the external world as a diagnostic instrument. It begins by presenting Second Philosophy alongside the relevant form of First Philosophy, then develops an extended compare-and-contrast with responses to skepticism from transcendental philosophy (represented by Kant) and therapeutic philosophy (represented by Kant again, and then by Carnap, Wittgenstein and Austin). The hope is that this exercise will bring Second Philosophy into sharper focus.Less
The goal of this paper is to characterize a particularly austere form of contemporary naturalism called ‘Second Philosophy’ using radical skepticism about the external world as a diagnostic instrument. It begins by presenting Second Philosophy alongside the relevant form of First Philosophy, then develops an extended compare-and-contrast with responses to skepticism from transcendental philosophy (represented by Kant) and therapeutic philosophy (represented by Kant again, and then by Carnap, Wittgenstein and Austin). The hope is that this exercise will bring Second Philosophy into sharper focus.
Paolo Mancosu
- Published in print:
- 2008
- Published Online:
- September 2010
- ISBN:
- 9780199296309
- eISBN:
- 9780191712272
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199296309.003.0008
- Subject:
- Philosophy, Logic/Philosophy of Mathematics
Tarski's presentation of the semantic conception of truth at the Paris congress in 1935 gave rise to conflicting positions. While Carnap and others hailed Tarski's definition of truth as a major ...
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Tarski's presentation of the semantic conception of truth at the Paris congress in 1935 gave rise to conflicting positions. While Carnap and others hailed Tarski's definition of truth as a major success in conceptual analysis, others, such as Neurath, expressed serious concerns about Tarski's project. This chapter reviews the debate that accompanied the international recognition of Tarskian semantics by using not only the published sources but also the extended correspondence between Neurath, Tarski, Lutman–Kokoszynska, and Hempel.Less
Tarski's presentation of the semantic conception of truth at the Paris congress in 1935 gave rise to conflicting positions. While Carnap and others hailed Tarski's definition of truth as a major success in conceptual analysis, others, such as Neurath, expressed serious concerns about Tarski's project. This chapter reviews the debate that accompanied the international recognition of Tarskian semantics by using not only the published sources but also the extended correspondence between Neurath, Tarski, Lutman–Kokoszynska, and Hempel.
Greg Frost‐Arnold
- Published in print:
- 2008
- Published Online:
- September 2010
- ISBN:
- 9780199296309
- eISBN:
- 9780191712272
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199296309.003.0009
- Subject:
- Philosophy, Logic/Philosophy of Mathematics
Alfred Tarski was a nominalist. But he published almost nothing on his nominalist views, and until recently the only sources scholars had for studying Tarski's nominalism were conversational reports ...
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Alfred Tarski was a nominalist. But he published almost nothing on his nominalist views, and until recently the only sources scholars had for studying Tarski's nominalism were conversational reports from his friends and colleagues. However, a recently-discovered archival resource provides the most detailed information yet about Tarski's nominalism. Tarski spent the academic year 1940-41 at Harvard, along with many of the leading lights of scientific philosophy: Carnap, Quine, Hempel, Goodman, and (for the Fall semester) Russell. This group met frequently to discuss logical and philosophical topics of shared interest. At these meetings, Carnap took dictation notes, which are now stored in the Archives of Scientific Philosophy. Interestingly, and somewhat surprisingly, the plurality of notes covers a proposal Tarski presents for a nominalist language of unified science. This chapter addresses the following questions about this project. What, precisely, is Tarski's nominalist position? What rationales are given for Tarski's nominalist stance, and are these rationales defensible? Finally, how is Tarskian nominalism of 1941 related to current nominalist projects?Less
Alfred Tarski was a nominalist. But he published almost nothing on his nominalist views, and until recently the only sources scholars had for studying Tarski's nominalism were conversational reports from his friends and colleagues. However, a recently-discovered archival resource provides the most detailed information yet about Tarski's nominalism. Tarski spent the academic year 1940-41 at Harvard, along with many of the leading lights of scientific philosophy: Carnap, Quine, Hempel, Goodman, and (for the Fall semester) Russell. This group met frequently to discuss logical and philosophical topics of shared interest. At these meetings, Carnap took dictation notes, which are now stored in the Archives of Scientific Philosophy. Interestingly, and somewhat surprisingly, the plurality of notes covers a proposal Tarski presents for a nominalist language of unified science. This chapter addresses the following questions about this project. What, precisely, is Tarski's nominalist position? What rationales are given for Tarski's nominalist stance, and are these rationales defensible? Finally, how is Tarskian nominalism of 1941 related to current nominalist projects?
