This eloquent 1757 treatise examines how interactions with the physical world affect formulation of ideals related to beauty and art. Tremendously influential on the development of aesthetic theory, this formative dissertation was among the first explorations of the concept of the sublime and remains a thought-provoking study for modern readers.

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

"This book is valuable as expounding in full a theory of meaning that has its roots in the work of Frege and has been of the widest influence.

George Boolos was one of the most prominent and influential logician-philosophers of recent times. This collection, nearly all chosen by Boolos himself shortly before his death, includes thirty papers on set theory, second-order logic, and plural quantifiers; on Frege, Dedekind, Cantor, and Russell; and on miscellaneous topics in logic and proof theory, including three papers on various aspects of the Gödel theorems. Boolos is universally recognized as the leader in the renewed interest in studies of Frege's work on logic and (...) the philosophy of mathematics. John Burgess has provided introductions to each of the three parts of the volume, and also an afterword on Boolos's technical work in provability logic, which is beyond the scope of this volume. (shrink)

Alfred North Whitehead's SCIENCE AND THE MODERN WORLD, originally published in 1925, redefines the concept of modern science.

This paper is concerned with the question of the truth conditions of nomological statements. My fundamental thesis is that it is possible to set out an acceptable, noncircular account of the truth conditions of laws and nomological statements if and only if relations among universals - that is, among properties and relations, construed realistically - are taken as the truth-makers for such statements. My discussion will be restricted to strictly universal, nonstatistical laws. The reason for this limitation is not that (...) I feel there is anything dubious about the concept of a statistical law, nor that I feel that basic laws cannot be statistical. The reason is methodological. The case of strictly universal, nonstatistical laws would seem to be the simplest case. If the problem of the truth conditions of laws can be solved for this simple subcase, one can then investigate whether the solution can be extended to the more complex cases. I believe that the solution I propose here does have that property, though I shall not pursue that question here.1. (shrink)

The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed description of higher-order logic, including a comprehensive discussion of its semantics. He goes on to demonstrate the prevalence of second-order concepts in mathematics and the extent to which mathematical ideas can be formulated in higher-order logic. He also shows how first-order languages are often insufficient to codify (...) many concepts in contemporary mathematics, and thus that both first- and higher-order logics are needed to fully reflect current work. Throughout, the emphasis is on discussing the associated philosophical and historical issues and the implications they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic comparable to that provided in a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in the field today. (shrink)

"--J.M.Coetzee "Here is a writer almost magically summoning up the world through words and ideas, in a new way, and so guiding the reader, lovingly, to receive the treasures and accept the pleasures of this book as naturally as breathing.

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

Definitions I presented in a previous article as part of a semantic approach in epistemology assumed that the concept of derivability from standard logic held across all mathematical and scientific disciplines. The present article argues that this assumption is not true for quantum mechanics (QM) by showing that concepts of validity applicable to proofs in mathematics and in classical mechanics are inapplicable to proofs in QM. Because semantic epistemology must include this important theory, revision is necessary. The one I propose (...) also extends semantic epistemology beyond the ‘hard’ sciences. The article ends by presenting and then refuting some responses QM theorists might make to my arguments. (shrink)

In "Translation and Belief" I presented a two-stage version of Church's translation argument against Carnap's analysis of belief. Here I show that the first stage is sufficient to establish a weaker, though no less significant conclusion, if supplemented with the principle that the same thought or idea can be expressed in different languages.

I present a formally explicit statement of Church's celebrated argument against Carnap's analysis of belief and defend it against well-known objections by W.V.O. Quine, R.M. Martin, and Michael Dummett.

Philosophers have recognized for some time the usefulness of semantic conceptions of truth and belief. That the third member of the knowledge triad, evidence, might also have a useful semantic version seems to have been overlooked. This paper corrects that omission by defining a semantic conception of evidence for science and mathematics and then developing a semantic conception of knowledge for these fields, arguably mankind’s most important knowledge repository. The goal is to demonstrate the advantages of having an answer to (...) the more modest question “What is necessary and sufficient for introducing a knowledge predicate into scientific and mathematical languages?” – as contrasted with the ambitious Platonic question “What is knowledge?” After presenting the theory, the paper responds to a wide range of objections stemming from traditional philosophical concerns. (shrink)

Gilbert Ryle has argued that Plato's Theory of Forms is a "logically vicious" doctrine because it's fundamental concept of exemplification leads to a vicious infinite regress. David Armstrong and Alan Donagan have agreed with Ryle. After making Ryle's argument logically explicit, I show the exemplification regress is illusory. Exemplification is a genuine universal alongside other relations; there is nothing paradoxical in its being exemplified over and over and over ... Platonism can define logical properties of this relation but not the (...) relation itself, however. (shrink)

I attempt to rescue Frege's naive conception of a set according to which there is a set for every property by redefining the technical concept of degree of an open sentence. Instead of making degree a function of the number of free variables, I make it a function of free variable occurrences. What Russell proved, then, is that there is not a relation-in-extension for every relation-in-intension. In a brief paper it is not possible to discuss how redefining the function-argument correlation (...) affects Frege's system. (shrink)

According to Platonism, "Socrates is wise" expresses the exemplification by Socrates of the property of being wise; while "Simmias is taller than Socrates" expresses the exemplification by <Simmias, Socrates> of the relation of being taller than. What about "Socrates is as tall as Socrates"? Is this property or relation exemplification? I show there is an answer that solves Russell's Paradox, Plato's "Third Man" argument, and the Greeling-Nelson paradox of non-self-applying terms.

Generations of scholars have worked to clarify the structure and content of the TMA, one of the most famous arguments in the history of philosophy. Though progress has been made, I show that a premise crucial to the argument has yet to be stated openly. This premise holds the way out of the predicament that enables Plato to retain intact the foundations of the Theory of Forms.

Platonism considers existence as well as nonexistence as genuine properties. Kant and others have denied the former and the latter seems absurd. I reply that critics have forgotten that Platonism means accepting properties that are neither exemplified (like being a unicorn) nor exemplifiable (like nonexistence). I also present a Platonist analysis of negative existentials without appealing to nonexistence.

A theory purporting to solve the problem of universals must be able to explain predication, recurrence, and classification. How Platonism does this is well known. Here I take a hard look at an attempt by M.J. Cresswell to give an Aristotelian answer and show it to be a complete and utter failure. The answer does not eliminate commitment to universals and it is only half an answer anyway because it does not cover relational predicates, an omission that Russell noted dooms (...) answers by other philosophers as well. (shrink)

Am şlefuit materia pentru a afla linia continuă.Und das Problem ensteht: was is das, was übrigbleibt, wenn ich von der Tatsache, daß ich meinen Arm hebe, die abziehe, daß mein Arm sich hebt?Acknowledged to have launched modern poetry with Les Fleurs du mal, Charles Baudelaire was also a prolific and influential art critic, a close friend of Edouard Manet, and an early champion of Eugène Delacroix. At one time decidedly not a friend of sculpture, Baudelaire published a critique of this (...) art form in a section of his Salon de 1846 titled “Pourquoi la sculpture est ennuyeuse” :3Sculpture has several disadvantages inherent in the medium itself. Crude and direct like nature, sculpture is.. (shrink)

Contemporary empiricism is closely allied with naturalism. Not only do empiricists hold that all our knowledge is based upon sensory experience, but they also tend to offer some sort of causal account of how this experience comes about. The causal ingredient in knowledge seems very plausible — after all, my knowing that there is a tea cup on my desk is based on sense impressions which are caused by the cup itself. Photons come from the cup to my eye; a (...) signal is then sent down the optic nerve into the visual part of the brain, and so on. And without that causal process, I likely wouldn't have the knowledge that I do have. (shrink)

This study provides a unified theory of properties, relations, and propositions (PRPs). Two conceptions of PRPs have emerged in the history of philosophy. The author explores both of these traditional conceptions and shows how they can be captured by a single theory.

Aesthetics has typically been regarded as an arena where claims about truth cannot be made as questions about art seem to involve more matters of taste than knowledge. In _Real Beauty_, however, Eddy Zemach maintains that beauty, ugliness, gracefulness, gaudiness, and similar aesthetic properties are real features of public things and argues that whether these features are present is a matter of fact that can be empirically investigated. By examining the opposing nonrealistic views of Subjectivism, Noncognitivism, and Relativism, Zemach attempts (...) to show how antirealistic interpretations of art generate absurd results and leave the realistic reading as the only cogent semantic interpretation of aesthetic statements. By discussing what inclines most people to hold nonrealistic views in aesthetics, such as the fluctuations of taste in fashion, Zemach argues that Realism can account for these fluctuations. He proposes that the aesthetic value of some things is due to their relations to other things and that relation may be temporal, resulting in the need for a temporal point for the correct temporal angle from which to view things. Zemach concludes that great art reveals significant truths about reality and that significantly true statements are aesthetically valuable, hence truth is an aesthetic merit. (shrink)

"Sir Hermann Bondi, NatureThe late S. Chandrasekhar was best known for his discovery of the upper limit to the mass of a white dwarf star, for which he received ...

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be (...) preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

In _An Introduction to Kant’s Aesthetics_, Christian Wenzel discusses and demystifies Kant’s Critique of the Power of Judgment, guiding the reader each step of the way and placing key points of discussion in the context of Kant’s other work. Explains difficult concepts in plain language, using numerous examples and a helpful glossary. Proceeds in the same order as Kant’s text for ease of reference and comprehension. Includes an illuminating foreword by Henry E. Allison. Offers twenty-six further-reading sections, commenting briefly on (...) books and articles from the English, German, and French, that are relevant for each topic Provides an extensive bibliography and a chapter summarizing Kant's main points. (shrink)

Theories of Truth provides a clear, critical introduction to one of the most difficult areas of philosophy. It surveys all of the major philosophical theories of truth, presenting the crux of the issues involved at a level accessible to nonexperts yet in a manner sufficiently detailed and original to be of value to professional scholars. Kirkham's systematic treatment and meticulous explanations of terminology ensure that readers will come away from this book with a comprehensive general understanding of one of philosophy's (...) thorniest set of topics. -/- Included are discussions of the correspondence, coherence, pragmatic, semantic, performative, redundancy, appraisal, and truth-as-justification theories. There are also chapters or sections of chapters on the liar paradox, three-valued logic, Field's critique of Tarski, Davidson's program, Dummett's theory of linguistic competence, satisfaction, recursion, the extension/intension distinction, and an explanation of how theories of justification, properly understood, differ from theories of truth. -/- A persistent theme is that philosophers have too often failed to recognize that not all theories of truth are intended to answer the same question. When the various questions are made distinct, it is apparent that many of the "debates" in this field are really cases of philosophers talking past one another. There is much less disagreement within the field than has commonly been thought. (shrink)