Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact (...) of model theory on contemporary algebraic geometry, number theory, combinatorics, and differential equations. This comprehensive and detailed book will interest logicians and mathematicians as well as those working on the history and philosophy of mathematics. (shrink)

The law-governed world-picture -- A remarkable idea about the way the universe is cosmos and compulsion -- The laws as the cosmic order : the best-system approach -- The three ways : no-laws, non-governing-laws, governing-laws -- Work that laws do in science -- An important difference between the laws of nature and the cosmic order -- The picture in four theses -- The strategy of this book -- The meta-theoretic conception of laws -- The measurability approach to laws -- What (...) comes where -- In defense of some received views -- Some assumptions that will be in play -- The laws are propositions -- The laws are true -- The logically contingent consequences of the laws are laws themselves -- At least some laws are metaphysically contingent -- The meta-theoretic conception of laws -- Laws of nature, laws of science, laws of theories -- The first-order conception versus the meta-theoretic conception -- What is a law of nature? -- Some examples of meta-theoretic accounts -- The virtues of the meta-theoretic conception -- Weighing the virtues and shortcomings of the meta-theoretic conception -- An epistemological argument for the meta-theoretic conception of laws -- The discoverability thesis, the governing thesis, and the first-order conception -- The main argument -- The objection from bad company -- The objection from inference to the best explanation -- The objection from bayesianism -- The objection from contextualist epistemology -- The objection from the threat of inductive skepticism -- Laws, governing, and counterfactuals -- Where we are now -- What would things have to be like in order for the laws of nature to govern the universe? -- Lawhood, inevitability, counterfactuals -- What is it for a proposition to be inevitably true? -- What is it for a whole class of propositions to be inevitably true? -- What is it for lawhood to confer inevitability? -- NP and supporting counterfactuals -- The worry about context-variability -- A solution and a look ahead -- When would the laws have been different? -- Where we are now -- The God cases -- Other counterexamples to NP -- A moral-theoretic counterexample to NP -- Scientific contexts and non-scientific contexts -- Scientific God cases? -- Lewisian non-backtracking counterexamples -- Where things stand now -- How could science show that the laws govern? -- Why the law-governed world-picture must include the science-says-so thesis -- What is extra-scientific? -- How can the science-says-so thesis be true? -- NP as a consequence of the presuppositions in any scientific context -- Np as true in all possible scientific contexts -- But how could it be so? -- Attack of the actual-factualists -- Measurement and counterfactuals -- Where we are now -- Measurements, reliability, counterfactuals -- A general principle that captures the relation between measurement and counterfactuals -- What we can learn about lawhood from what we have learned about the counterfactual commitments of science -- A first-order account of laws or a meta-theoretic account of laws? -- What methods are presupposed to be legitimate measurement procedures? -- Why we must adopt a meta-theoretic account of laws -- What lawhood is -- Where we are now -- The measurability account of laws -- Brief review of the case for the mal -- A note about hedged laws -- How plausible is the mal? -- What if we don't care about the law-governed world-picture? -- Newton's God and Laplace's demon -- Beyond humean and non-humean -- Two views of laws -- Humean supervenience and the meta-theoretic conception -- Alleged counterexamples to humean supervenience -- Governing and non-trivial necessity -- How the mal lets us have it all -- Humeanism? non-humeanism? -- What is the significance of the idea of the law-governed universe? -- Where in the world are the laws of nature? -- Appendix: The mal in action : a few examples -- Of scientific theories and their laws -- Newton's theory as a paradigm example -- Classical special-force laws -- Geometrical optics and one of its laws -- Local deterministic field theories. (shrink)

CHAPTER 1 Combinatorial Geometries and Infinitary Logics In this chapter we introduce two of the key concepts that are used throughout the text. ...

We give a general account of the goals of axiomatization, introducing a variant on Detlefsen’s notion of ‘complete descriptive axiomatization’. We describe how distinctions between the Greek and modern view of number, magnitude, and proportion impact the interpretation of Hilbert’s axiomatization of geometry. We argue, as did Hilbert, that Euclid’s propositions concerning polygons, area, and similar triangles are derivable from Hilbert’s first-order axioms. We argue that Hilbert’s axioms including continuity show much more than the geometrical propositions of Euclid’s theorems and (...) thus are an immodest complete descriptive axiomatization of that subject. (shrink)

The article covers electronic informed consent from different dimensions so that practitioners might understand the history, regulation, and current status of eIC. It covers the transition of informed consent to electronic screens and the implications of that transition in terms of design, costs, and data analysis. The article explores the limits of regulation mandating eIC for mobile application research, and addresses some of the broader social context around eIC.

We introduce the notion T does not omit obstructions. If a stable theory does not admit obstructions then it does not have the finite cover property . For any theory T, form a new theory $T_{\rm Aut}$ by adding a new unary function symbol and axioms asserting it is an automorphism. The main result of the paper asserts the following: If T is a stable theory, T does not admit obstructions if and only if $T_{\rm Aut}$ has a model companion. (...) The proof involves some interesting new consequences of the nfcp. (shrink)

The projective plane of Baldwin 695) is model complete in a language with additional constant symbols. The infinite rank bicolored field of Poizat 1339) is not model complete. The finite rank bicolored fields of Baldwin and Holland 371; Notre Dame J. Formal Logic , to appear) are model complete. More generally, the finite rank expansions of a strongly minimal set obtained by adding a ‘random’ unary predicate are almost strongly minimal and model complete provided the strongly minimal set is ‘well-behaved’ (...) and admits ‘exactly rank k formulas’. The last notion is a geometric condition on strongly minimal sets formalized in this paper. (shrink)

Hrushovski originated the study of “flat” stable structures in constructing a new strongly minimal set and a stable 0-categorical pseudoplane. We exhibit a set of axioms which for collections of finite structure with dimension function δ give rise to stable generic models. In addition to the Hrushovski examples, this formalization includes Baldwin's almost strongly minimal non-Desarguesian projective plane and several others. We develop the new case where finite sets may have infinite closures with respect to the dimension function δ. In (...) particular, the generic structure need not be ω-saturated and so the argument for stability is significantly more complicated. We further show that these structures are “flat” and do not interpret a group. (shrink)

What is the reason for the continued interest in Newman’s theology? This article’s reply that Newman was a contextual theologian is based on a consideration of three questions:Was Newman a theologian? What was the context of his theology? What are the reasons for Newman’s theological longevity?

How do I live a good life, one that is deeply personal and sensitive to others? John T. Lysaker suggests that those who take this question seriously need to reexamine the work of Ralph Waldo Emerson. In philosophical reflections on topics such as genius, divinity, friendship, and reform, Lysaker explores "self-culture" or the attempt to remain true to one's deepest commitments. He argues that being true to ourselves requires recognition of our thoroughly dependent and relational nature. Lysaker guides readers (...) from simple self-absorption toward a more fulfilling and responsive engagement with the world. (shrink)

Subcreative sets, introduced by Blum, are known to coincide with the effectively speedable sets. Subcreative sets are shown to be the complete sets with respect to S-reducibility, a special case of Turing reducibility. Thus a set is effectively speedable exactly when it contains the solution to the halting problem in an easily decodable form. Several characterizations of subcreative sets are given, including the solution of an open problem of Blum, and are used to locate the subcreative sets with respect to (...) the complete sets of other reducibilities. It is shown that q-cylindrification is an order-preserving map from the r.e. T-degrees to the r.e. S-degrees. Consequently, T-complete sets are precisely the r.e. sets whose q-cylindrifications are S-complete. (shrink)

I propose understanding CP-law statements as statements that assert the existence of vague statistical laws, not by fully specifying the contents of those laws, but by picking them out via a description that is both self-referential and self-locating. I argue that this proposal validates many common assumptions about CP-laws and correctly classifies many examples of putative CP-laws. It does this while avoiding the most serious worries that motivate some philosophers to be skeptical of CP-laws, namely the worry that they lack (...) non-trivial truth conditions and that it is impossible for empirical evidence to disconfirm them. (shrink)

Subcreative sets, introduced by Blum, are known to coincide with the effectively speedable sets. Subcreative sets are shown to be the complete sets with respect to S-reducibility, a special case of Turing reducibility. Thus a set is effectively speedable exactly when it contains the solution to the halting problem in an easily decodable form. Several characterizations of subcreative sets are given, including the solution of an open problem of Blum, and are used to locate the subcreative sets with respect to (...) the complete sets of other reducibilities. It is shown that q-cylindrification is an order-preserving map from the r.e. T-degrees to the r.e. S-degrees. Consequently, T-complete sets are precisely the r.e. sets whose q-cylindrifications are S-complete. (shrink)

This paper explores Church's Thesis and related claims madeby Turing. Church's Thesis concerns computable numerical functions, whileTuring's claims concern both procedures for manipulating uninterpreted marksand machines that generate the results that these procedures would yield. Itis argued that Turing's claims are true, and that they support (the truth of)Church's Thesis. It is further argued that the truth of Turing's and Church'sTheses has no interesting consequences for human cognition or cognitiveabilities. The Theses don't even mean that computers can do as much (...) as peoplecan when it comes to carrying out effective procedures. For carrying out aprocedure is a purposive, intentional activity. No actual machine does, orcan do, as much. (shrink)

This article examines cognitive process models of human sentence comprehension based on the idea of informed search. These models are rational in the sense that they strive to find a good syntactic analysis quickly. Informed search derives a new account of garden pathing that handles traditional counterexamples. It supports a symbolic explanation for local coherence as well as an algorithmic account of entropy reduction. The models are expressed in a broad framework for theories of human sentence comprehension.

Against David Schenck's interpretation, I argue that it is not absolutely clear that Merleau-Ponty ever meant to replace what Schenck refers to as the "unity of meanings" interpretation of "structure" with a "material meanings" interpretation. A particular problem-setting -- for example, an attempt to understand the "truth in naturalism" or the "truth in dualism" -- may very well require a particular mode of expression. I argue that the mode of expression chosen by Merleau-Ponty for these purposes, while unfortunate in some (...) of its apparent implications, need not be interpreted as recommitting him to the doctrine he spent his life working to renounce. I have argued that this would have been clearer had he been able to avail himself of James J. Gibson's notion of affordances, which capture perfectly what he was reaching for. (shrink)

We emphasize the role of the choice of vocabulary in formalization of a mathematical area and remark that this is a particular preoccupation of logicians. We use this framework to discuss Kennedy’s notion of ‘formalism freeness’ in the context of various schools in model theory. Then we clarify some of the mathematical issues in recent discussions of purity in the proof of the Desargues proposition. We note that the conclusion of ‘spatial content’ from the Desargues proposition involves arguments which are (...) algebraic and even metamathematical. Hilbert showed that the Desargues proposition implies the coordinatizing ring is associative, which in turn implies the existence of a three-dimensional geometry in which the given plane can be embedded. With W. Howard we give a new proof, removing Hilbert’s ‘detour’ through algebra, of the ‘geometric’ embedding theorem. Finally, our investigation of purity leads to the conclusion that even the introduction of explicit definitions in a proof can violate purity. We argue that although both involve explicit definition, our proof of the embedding theorem is pure while Hilbert’s is not. Thus the determination of whether an argument is pure turns on the content of the particular proof. Moreover, formalizing the situation does not provide a tool for characterizing purity. (shrink)

This essay examines Newman’s Dublin lecture on the relationship between Theology and Science—their inevitable intersections and their circumstantial collisions. What lessons can be learned from Newman’s “view” of Theology and Science in considering the confrontations between Theology and Science in the twenty-first century?

Individualist and communitarian. Anarchist and totalitarian. Classicist and romanticist. Progressive and reactionary. Since the eighteenth century, Jean-Jacques Rousseau has been said to be all of these things. Few philosophers have been the subject of as much or as intense debate, yet almost everyone agrees that Rousseau is among the most important and influential thinkers in the history of political philosophy. This new edition of his major political writings, published in the year of the three-hundredth anniversary of his birth, renews attention (...) to the perennial importance of Rousseau’s work. The book brings together superb new translations by renowned Rousseau scholar John T. Scott of three of Rousseau’s works: the _Discourse on the Sciences and Arts,_ the _Discourse on the Origin and Foundations of Inequality Among Men, _and _On the Social Contract. _The two _Discourses_ show Rousseau developing his well-known conception of the natural goodness of man and the problems posed by life in society. With the _Social Contract, _Rousseau became the first major thinker to argue that democracy is the only legitimate form of political organization. Scott’s extensive introduction enhances our understanding of these foundational writings, providing background information, social and historical context, and guidance for interpreting the works. Throughout, translation and editorial notes clarify ideas and terms that might not be immediately familiar to most readers. The three works collected in _The Major Political Writings of Jean-Jacques Rousseau_ represent an important contribution to eighteenth-century political theory that has exerted an extensive influence on generations of thinkers, beginning with the leaders of the French Revolution and continuing to the present day. The new translations on offer here will be welcomed by a wide readership of both Rousseau scholars and readers with a general interest in political thought. (shrink)

We introduce the notion T does not omit obstructions. If a stable theory does not admit obstructions then it does not have the finite cover property (nfcp). For any theory T, form a new theory by adding a new unary function symbol and axioms asserting it is an automorphism. The main result of the paper asserts the following: If T is a stable theory, T does not admit obstructions if and only if has a model companion. The proof involves some (...) interesting new consequences of the nfcp. (shrink)

For John Morreall, cuteness is an abstract general attribute of infants that causes adults to want to care for them (or which is the reason, or at least important reason, for such solicitousness). I shall try to show, in what follows, that this is, if not an altogether fallacious way of explaining the matter, at least an extremely misleading one. As it stands, in particular, it is too easy to infer from Morreall's line of reasoning 1) that infants in (...) general might conceivably never have developed cuteness, and 2) that infants, because of this deficiency, would then not be cared for as adequately by their parents. An equally wrong further implication, which further helps to express my difficulty with Morreall's formulation of the matter, would be that if baby spiders (for example) had happened to have the abstract general characteristic called 'cuteness', while human children did not have it, then human adults would have been more inclined to care for baby spiders than for baby humans. It is to avoid such oddities as these that, it seems to me, a further consideration of the problem is warranted. (shrink)

Often when a new scientific theory is introduced, new terms are introduced along with it. Some of these new terms might be given explicit definitions using only terms that were in currency prior to the introduction of the theory. Some of them might be defined using other new terms introduced with the theory. But it frequently happens that the standard formulations of a theory do not define some of the new terms at all; these terms are adopted as primitives. The (...) audience is expected to come to grasp the meanings of the primitive terms by learning the role they play in the theory and its applications. I shall call such new and undefined terms, as well as new terms that are defined using them, theoretical terms. 1 If T is a theory, the T-terms are the theoretical terms introduced by T. A theoretical term need not be a word new to human language; it might be an old term that is employed in a new and specialized sense, not equivalent to any of its familiar senses; e.g. “color” in quantum chromodynamics. (shrink)

The existence of “undermining futures” appears to show that a contradiction can be deduced from the conjunction of Humean supervenience about chance and the Principal Principle. A number of strategies for rescuing HS from this problem have been proposed recently. In this paper, a novel way of defending HS from the threat is presented, and it is argued that this defense has advantages not shared by others. In particular, it requires no revisionism about chance, and it is equally available to (...) defenders of HS who hold HS to be necessary and those who hold it to be contingent. (shrink)

This is the first part of a two-part article in which we defend the thesis of Humean Supervenience about Laws of Nature (HS). According to this thesis, two possible worlds cannot differ on what is a law of nature unless they also differ on the Humean base. The Humean base is easy to characterize intuitively, but there is no consensus on how, precisely, it should be defined. Here in Part I, we present and motivate a characteriza- tion of the Humean (...) base that, we argue, enables HS to capture what is really stake in the debate, without taking on extraneous commitments. (shrink)

This is a fundamental re-assessment of the world-view of the alchemists, natural philosophers and intelligencers of the mid 17th century. Based almost entirely upon the extensive and hitherto little-researched manuscript archive of Samuel Hartlib, it charts and contextualises the personal and intellectual history of Johann Moriaen (c.1592-1668), a Dutch-German alchemist and natural philosopher. Moriaen was closely acquainted with many of the leading thinkers and experimenters of his time, including René Descartes, J.A. Comenius, J.R. Glauber and J.S. KÃ1⁄4ffler. His detailed reports (...) of relations with these figures and his response to their work provide a uniquely informed insight into the world of alchemy and natural philosophy. This study also illuminates the nature and mechanisms of intellectual and technological exchanges between Germany, The Netherlands and England. (shrink)

In this paper, I try to explain the philosophical problems that Niels Bohr felt had been exposed by the discovery of the "quantum of action," and by the emergence of the quantum theory that arose in large part as a result of his efforts. I won't have space to make the case adequately here, but my own view is that we have not yet fully digested the message brought to us by Bohr's "Copenhagen Interpretation" of Quantum Mechanics, and I suspect (...) that it will finally prove to be every bit as revolutionary as Bohr thought it was. (shrink)

Previous discussions of addiction have often focused on the question of whether addiction is a disease. This discussion distinguishes that question – the disease question – from the question of whether addiction is a disability. I argue that, however one answers the disease question, and indeed on almost any credible account of addiction, addiction is a disability. I then consider the implications of this view, or why it matters that addiction is a disability. The disease model of addiction has led (...) many to see addiction as primarily a medical problem, and to make medical treatment of the addicted person the first priority in addressing addiction. Once addiction is viewed as a disability, different concerns are foregrounded. The problem of addiction resides not only in the addicted person, but also in the social environment in which the addicted person finds herself. The fundamental ethical question about addiction is not how addicted persons can be treated or otherwise changed, but how a just society can make reasonable accommodations for addicted persons. (shrink)

Thesis: The exclusion of organized labor/management issues from the principal arenas for business ethics study and discussions needs to be remedied. The paper develops this thesis in three steps: 1) Exclusion: A careful examination of select textbooks, journals, and conferences provides evidence as to the virtual absence of unions and such crucial organized labor/management issues as labor organizing and collective bargaining; 2) Inclusion: A series of brief arguments favoring inclusion of these issues in business ethics based on the notion of (...) privileged institutions, adversarial posturing, the societal benefits, and globalization; 3) Suggestions: Some practical, cooperative initiatives involving the academy, management and labor, such as, labor officials as guest speakers and members of business school committees, internships in labor organizations, training workshops in business ethics for labor leaders, fora for joint management/labor discussions of issues each group faces in the economy and the legislatures. (shrink)

The existence of "undermining futures" appears to show that a contradiction can be deduced from the conjunction of Humean supervenience (HS) about chance and the Principal Principle. A number of strategies for rescuing HS from this problem have been proposed recently. In this paper, a novel way of defending HS from the threat is presented, and it is argued that this defense has advantages not shared by others. In particular, it requires no revisionism about chance, and it is equally available (...) to defenders of HS who hold HS to be necessary and those who hold it to be contingent. (shrink)

I elaborate and defend an interpretation of Leibniz on which he is committed to a stronger space-time structure than so-called Leibnizian space-time, with absolute speeds grounded in his concept of force rather than in substantival space and time. I argue that this interpretation is well-motivated by Leibniz's mature writings, that it renders his views on space, time, motion, and force consistent with his metaphysics, and that it makes better sense of his replies to Clarke than does the standard interpretation. Further, (...) it illuminates the way in which Leibniz took his physics to be grounded in his metaphysics. (shrink)

We use κ-free but not Whitehead Abelian groups to constructElementary Classes (AEC) which satisfy the amalgamation property but fail various conditions on the locality of Galois-types. We introduce the notion that an AEC admits intersections. We conclude that for AEC which admit intersections, the amalgamation property can have no positive effect on locality: there is a transformation of AEC's which preserves non-locality but takes any AEC which admits intersections to one with amalgamation. More specifically we have: Theorem 5.3. There is (...) an AEC with amalgamation which is not (N₀, N₁)-tame but is 2(N0, ∞)-tame; Theorem 3.3. It is consistent with ZFC that there is an AEC with amalgamation which is not (≤ N₂, ≤ N₂)-compact. (shrink)