The essays in this volume explore current work in central areas of philosophy, work unified by attention to salient questions of human action and human agency. They ask what it is for humans to act knowledgeably, to use language, to be friends, to act heroically, to be mortally fortunate, and to produce as well as to appreciate art. The volume is dedicated to J. O. Urmson, in recognition of his inspirational contributions to these areas. All the essays but one have (...) been specially written for this volume. (shrink)
We elaborate Weiermann-style phase transitions for well-partial-orderings (wpo) determined by iterated finite sequences under Higman-Friedman style embedding with Gordeev’s symmetric gap condition. For every d-times iterated wpo ${\left({\rm S}\text{\textsc{eq}}^{d}, \trianglelefteq _{d}\right)}$ in question, d > 1, we fix a natural extension of Peano Arithmetic, ${T \supseteq \sf{PA}}$ , that proves the corresponding second-order sentence ${\sf{WPO}\left({\rm S}{\textsc{eq}}^{d}, \trianglelefteq _{d}\right) }$ . Having this we consider the following parametrized first-order slow well-partial-ordering sentence ${\sf{SWP}\left({\rm S}\text{\textsc{eq}}^{d}, \trianglelefteq _{d}, r\right):}$ $$\left( \forall K > 0 (...) \right) \left( \exists M > 0\right) \left( \forall x_{0},\ldots ,x_{M}\in {\rm S}\text{\textsc{eq}}^{d}\right)$$ $$\left( \left( \forall i\leq M\right) \left( \left| x_{i}\right| < K + r \left\lceil \log _{d} \left( i+1\right) \right\rceil \right)\rightarrow \left( \exists i < j \leq M \right) \left(x_{i} \trianglelefteq _{d} x_{j}\right) \right)$$ for a natural additive Seq d -norm |·| and r ranging over EFA-provably computable positive reals, where EFA is an abbreviation for IΔ 0 + exp. We show that the following basic phase transition clauses hold with respect to ${T = \Pi_{1}^{0}\sf{CA}_{ < \varphi ^{_{\left( d-1\right) }} \left(0\right) }}$ and the threshold point1. If r < 1 then ${\sf{SWP}\left({\rm S}\text{\textsc{eq}}^{d}, \trianglelefteq _{d},r \right) }$ is provable in T. If ${r > 1}$ then ${\sf{SWP}\left({\rm S}\text{\textsc{eq}}^{d}, \trianglelefteq _{d},r \right) }$ is not provable in T.Moreover, by the well-known proof theoretic equivalences we can just as well replace T by PA or ACA 0 and ${\Delta _{1}^{1}\sf{CA}}$ , if d = 2 and d = 3, respectively.In the limit case d → ∞ we replaceEFA-provably computable reals r by EFA-provably computable functions ${f: \mathbb{N} \rightarrow \mathbb{R}_{+}}$ and prove analogous theorems. (In the sequel we denote by ${\mathbb{R}_{+}}$ the set of EFA-provably computable positive reals). In the basic case T = PA we strengthen the basic phase transition result by adding the following static threshold clause ${\sf{SWP}\left({\rm S}\text{\textsc{eq}}^{2}, \trianglelefteq _{2}, 1\right)}$ is still provable in T = PA (actually in EFA). Furthermore we prove the following dynamic threshold clauses which, loosely speaking are obtained by replacing the static threshold t by slowly growing functions 1 α given by ${1_{\alpha }\left( i\right)\,{:=}\,1+\frac{1}{H_{\alpha }^{-1}\left(i\right) }, H_{\alpha}}$ being the familiar fast growing Hardy function and ${H_{\alpha }^{-1}\left( i\right)\,{:=}\,\rm min \left\{ j \mid H_{\alpha } \left ( j\right) \geq i \right\}}$ the corresponding slowly growing inversion. If ${\alpha < \varepsilon _{0}}$ , then ${\sf{SWP}\left({\rm S}\text{\textsc{eq}}^{2}, \trianglelefteq _{2}, 1_{\alpha}\right)}$ is provable in T = PA. ${\sf{SWP}\left( {\rm S}\text{\textsc{eq}}^{2}, \trianglelefteq _{2},1_{\varepsilon _{0}}\right)}$ is not provable in T = PA. We conjecture that this pattern is characteristic for all ${T\supseteq \sf{PA}}$ under consideration and their proof-theoretical ordinals o (T ), instead of ${\varepsilon _{0}}$. (shrink)
It might seem that there are two separate questions about universals, the question of what they are and the question why we should believe that there are such things, and that the former question should be taken first; it might seem that until you know what they are it cannot be sensible to ask whether one should believe in them. How, for example, could one know whether it was sensible or even possible to believe in Father Christmas until one knew (...) who or what he was supposed to be? But appearances could be deceptive. In the case of universals the position is different. What happened was that philosophers found themselves faced with certain problems of which they were inclined to say: this problem is insoluble unless there are some entities which have certain characteristics, the characteristics which would enable the problem to be solved. The things which, if they existed, would solve their problems they called forms or universals. So universals are things which have whatever properties they need to have to solve certain problems. This being so, it is clearly sensible to approach the theory of universals from the problems which led to philosophers postulating their existence. (shrink)
On its first appearance in 1960, J.O. Urmson's Concise encyclopedia of Western philosophy and philosophers established itself as a classic. Its contributors included many of the leading philosophers of the English-speaking world: Ryle, Hare, Strawson, Ayer, Dummett, Williams and many others. They wrote with an authority and individuality which made the Encyclopedia into a lively and engaging introduction to philosophy as well as a convenient reference work. For this edition, supervised by Jonathan Rée, the original articles have been revised and (...) updated, and eighty articles by thirty one new authors have been added. The additions take account of recent developments in philosophy, of literary, historical and political issues in philosophy, and of developments in continental thought, including in Marxism, psychoanalysis, phenomenology, existentialism, structuralism, post-structuralism and deconstruction. There is a clear, integral cross-referencing system which allows the reader to identify points of overlap between philosophical traditions and their personalities at a glance. (shrink)
A Satisfactory discussion in depth of all the philosophical problems that could be raised concerning musical representation would require much more space as well as more ability than I have at my disposal. Nobody should believe, or believe that I believe, that what follows is more than a rather sketchy examination of a few central issues.
J.O. Urmson's The Greek Philosophical Vocabulary contains some five hundred alphabetically arranged entries, each aiming to provide useful information on a particular word used by Greek philosophers. The book includes a wealth of quotations ranging from the fifth century BC to the sixth century AD.
We defend the many-worlds interpretation of quantum mechanics against the objection that it cannot explain why measurement outcomes are predicted by the Born probability rule. We understand quantum probabilities in terms of an observer's self-location probabilities. We formulate a probability postulate for the MWI: the probability of self-location in a world with a given set of outcomes is the absolute square of that world's amplitude. We provide a proof of this postulate, which assumes the quantum formalism and two principles concerning (...) symmetry and locality. We also show how a structurally similar proof of the Born rule is available for collapse theories. We conclude by comparing our account to the recent account offered by Sebens and Carroll. (shrink)
Originally published in 1968, this book traces the development of the emotive theory of ethics from its outline by Ogden and Richards in The Meaning of Meaning to the elaborate presentation by Stevenson in Ethics and Language. Attention is paid to the positive features of the ethical theory whilst the author also shows how a more adequate view can be reached through critical reflection on it.
The many worlds interpretation of quantum mechanics (MWI) states that the world we live in is just one among many parallel worlds. It is widely believed that because of this commitment to parallel worlds, the MWI violates common sense. Some go so far as to reject the MWI on this basis. This is despite its myriad of advantages to physics (e.g. consistency with relativity theory, mathematical simplicity, realism, determinism, etc.). Here, we make the case that common sense in fact favors (...) the MWI. We argue that causal explanations are commonsensical only when they are local causal explanations. We present several quantum mechanical experiments that seem to exhibit nonlocal “action at a distance”. Under the assumption that only one world exists, these experiments seem immune to local causal explanation. However, we show that the MWI, by taking all worlds together, can provide local causal explanations of the experiments. The MWI therefore restores common sense to physical explanation. (shrink)
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 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)
The assumption on which this volume is founded is that a proper comparison between scientific cognition and folk ways of thought rests on an adequate study of ...
On its first appearance in 1960, J.O. Urmson's _Concise encyclopedia of Western philosophy and philosophers_ established itself as a classic. Its contributors included many of the leading philosophers of the English-speaking world: Ryle, Hare, Strawson, Ayer, Dummett, Williams and many others. They wrote with an authority and individuality which made the _Encyclopedia_ into a lively and engaging introduction to philosophy as well as a convenient reference work. For this edition, supervised by Jonathan Rée, the original articles have been revised and (...) updated, and eighty articles by thirty one new authors have been added. The additions take account of recent developments in philosophy, of literary, historical and political issues in philosophy, and of developments in continental thought, including in Marxism, psychoanalysis, phenomenology, existentialism, structuralism, post-structuralism and deconstruction. There is a clear, integral cross-referencing system which allows the reader to identify points of overlap between philosophical traditions and their personalities at a glance. (shrink)
"This volume offers a new translation of the Neoplatonist philosopher Simplicius' commentary on the chapters concerning place and time in Aristotle's Physics, Book Four. Written after the closing of the Athenian Neoplatonist school in A.D. 529, the commentary clarifies the structure and meaning of Aristotle's arguments and provides a rich account of 800 years of interpretation." "Surprisingly, in the first five chapters of Book Four Aristotle shows place as two-dimensional: one's place is the two-dimensional inner surface of one's surroundings. He (...) also suggests that the upward motion of air and fire and the downward motion of earth and water are partly explained by the natural places to which they tend. Place thus has power (dunamis) of its own. In his last five chapters, Aristotle argues that if time did not entail change its passage would be undetectable, and that time, by definition countable, requires the existence of conscious beings to do the counting. Among the many relevant views that Simplicius records are those of Galen, who attacks this claim, and of Eudemus, who rebuts the Pythagorean theory that history will repeat itself exactly. J. O. Urmson's translation serves as a companion to his earlier translation of the Corollaries on Place and Time, in which Simplicius sets forth his own views as distinct from those of Aristotle." "A major sourcebook for the interpretation of Aristotle, this volume will be welcomed by scholars and students in the fields of classics, ancient philosophy, ancient history, and medieval studies."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved. (shrink)