The general principles of the scientific method, which are applicable across all of the sciences, are essential for perspective, productivity, and innovation. These principles include deductive and inductive logic, probability, parsimony, and hypothesis testing, as well as science's presuppositions, limitations, ethics, and bold claims of rationality and truth. The implicit contrast is with specialized techniques confined to a given discipline, such as DNA sequencing in biology. Neither general principles nor specialized techniques can substitute for one another, but rather the winning (...) combination for scientists is mastery of both. The purposes of this book are to enhance perspective on science by drawing insights from the humanities, and to increase productivity by fostering a deep understanding of the general principles of scientific method. The examples and case studies span the physical, biological, and social sciences; include applications in agriculture, engineering, and medicine; and also explore science's interrelationships with disciplines in the humanities such as philosophy and law. This book engages a great diversity of viewpoints on science, both historical and contemporary, and responds by affirming science's rationality. Informed by position papers on science from the American Association for the Advancement of Science, National Academy of Sciences, and National Science Foundation, this book aligns with a distinctively mainstream vision of science. It is an ideal resource for anyone undertaking a systematic study of scientific method for the first time, from undergraduates to professionals in both the sciences and the humanities. (shrink)

God’s authority justifies belief in scripture, yet scripture also offers corroborating witnesses of prophecies and miracles to Jesus’s authority.

Public presuppositions suffice in arguments for Christianity, without needing controversial presuppositions such as the authority of the Bible. Necessary and sufficient presuppositions can be derived from rudimentary common sense, which is shared by Christianity and virtually all other worldviews. These claims are defended against three problematic ideas in contemporary Christian apologetics concerning circular reasoning, starting points, and neutral rationality. Public presuppositions are discussed in the contexts of both evidential and presuppositional apologetics.

Ramified natural theology concerns arguments for or against distinctively Christian theism, using only our natural endowments of reason and sense perception, without appealing to the authority of divine revelation. Before ramified natural theology’s arguments and evidence can be evaluated properly, first its methodology must be clear, impartial, settled, and effective. This paper defends three theses regarding methodology. First, ramified natural theology and science share the same core methodology, namely, the PEL model, specifying that conclusions about the world require three resources: (...) Presuppositions, Evidence, and Logic. Second, ramified natural theology, especially when implemented with the PEL model, provides a suitable methodology for investigating miracles. Third, despite methodological differences, there is a fruitful synergy between natural and revealed theology. Ramified natural theology has its own intrinsic importance, and yet its full value emerges from its synergy with revealed theology. (shrink)

The argument for Christianity from fulfilled Bible prophecies, when implemented with best practices, can be public, impartial, empirical, significant, efficient, and promising. The competing hypotheses considered here are that Bible prophecies exhibit spectacular accuracy because of revelation from God, or else miserable accuracy because of merely occasional luck from unaided humans. A new statistical analysis can test these hypotheses efficiently with a manageable collection of fulfilled Bible prophecies, typically about five to twenty prophecies, and also can refute a charge that (...) these successful prophecies result from mere luck and bias. (shrink)

An important 2003 book by Richard Swinburne and 2009 chapter by Timothy and Lydia McGrew develop the case for the bodily resurrection of Jesus as a project in ramified natural theology featuring public evidence. This paper imports a model for full disclosure of arguments from natural science to specify natural theology’s methodological and statistical requirements. Four matters need further clarification in this project’s ongoing development: the strength of the evidence, hypotheses being tested, dependence on generic natural theology, and range of (...) evidence considered relative to apostolic precedents. The related historiographical method of Michael Licona is also discussed. (shrink)

This long-awaited book replaces Hughes and Cresswell's two classic studies of modal logic: _An Introduction to Modal Logic_ and _A Companion to Modal Logic_. _A New Introduction to Modal Logic_ is an entirely new work, completely re-written by the authors. They have incorporated all the new developments that have taken place since 1968 in both modal propositional logic and modal predicate logic, without sacrificing tha clarity of exposition and approachability that were essential features of their earlier works. The book takes (...) readers from the most basic systems of modal propositional logic right up to systems of modal predicate with identity. It covers both technical developments such as completeness and incompleteness, and finite and infinite models, and their philosophical applications, especially in the area of modal predicate logic. (shrink)

In a recent article in Philosophia Christi, Hugh G. Gauch, Jr., argues for the necessity of “public presuppositions” for Christian apologetics. In the course of his argument, he critiques three tenets of my approach, as given in my book, Covenantal Apologetics. Though all three objections have been lodged and answered in numerous places, I respond to Gauch by arguing that the three tenets are embedded in and consistent with the theology that came out of the Reformation. Thus, (...) I conclude that our apologetic differences have their roots in our theological differences. (shrink)

This entirely new work guides the reader through the most basic systems of modal propositional logic up to systems of modal predicate with identity, dealing with both technical developments and discussing philosophical applications.

Modal propositional logic; Modal predicate logic; A survey of modal logic.

Normal propositional modal systems This first chapter has two main aims. One is to give a general account of the propositional modal systems that we shall ...

Self‐pollination in some groups of plants is prevented by a sophisticated biochemical signalling system. The molecule active in the female emerges as a highly charged glycoprotein, but the identity of the male determinant remains unknown. Studies of both the molecular biology and the physiology of the interaction suggest that the female polypeptide belongs to a family of glycoproteins which may play an additional, and more general, role in pollination. Pollen compatibility is controlled by one of two genetic systems and new (...) information indicates a mechanism by which they may have arisen, together with the different stigma types with which they are correlated. (shrink)

In this paper I attempt to elucidate the nature of that sense of 'methodology' which is concerned with the strategies, techniques, and procedures of scientific experimentation. It is claimed that methodology in this sense is at bottom a set of logical relations between sentences expressing pervasive facts of the subject matter and sentences describing experimental behavior. In particular a successful methodology is one in which the set of these sentences is logically consistent. I then turn to the problems involved in (...) teaching and learning an explicit methodology. Finally, I argue that this analysis throws fresh light on the distinction between knowing a fact and possessing a skill or competence. (shrink)

John Buridan was a fourteenth-century philosopher who enjoyed an enormous reputation for about two hundred years, was then totally neglected, and is now being 'rediscovered' through his relevance to contemporary work in philosophical logic. The final chapter of Buridan's Sophismata deals with problems about self-reference, and in particular with the semantic paradoxes. He offers his own distinctive solution to the well-known 'Liar Paradox' and introduces a number of other paradoxes that will be unfamiliar to most logicians. Buridan also moves on (...) from these problems to more general questions about the nature of propositions, the criteria of their truth and falsity and the concepts of validity and knowledge. This edition of that chapter is intended to make Buridan's ideas and arguments accessible to a wider range of readers. The volume should interest many philosophers, linguists and logicians, who are increasingly finding in medieval work striking anticipations of their own concerns. (shrink)

Can I ever, by my subsequent actions, bring it about that something I on a previous occasion was done from a certain motive rather than from some other one?

Originally published in 1965. This is a textbook of modern deductive logic, designed for beginners but leading further into the heart of the subject than most other books of the kind. The fields covered are the Propositional Calculus, the more elementary parts of the Predicate Calculus, and Syllogistic Logic treated from a modern point of view. In each of the systems discussed the main emphases are on Decision Procedures and Axiomatisation, and the material is presented with as much formal rigour (...) as is compatible with clarity of exposition. The techniques used are not only described but given a theoretical justification. Proofs of Consistency, Completeness and Independence are set out in detail. The fundamental characteristics of the various systems studies, and their relations to each other are established by meta-logical proofs, which are used freely in all sections of the book. Exercises are appended to most of the chapters, and answers are provided. (shrink)

No one who has read with reasonable attention the Works and Days, the Theogony, the Shield, and even the fragments of the lost Hesiodic poems, can have failed to notice a peculiar feature. Again and again a passage, be it longer or shorter, is followed by what may be called, if not a true ‘doublet,’ at least an ‘echo’—a second passage reproducing the general idea, and often the more prominent verbal details of the preceding lines. In fact, in these poems (...) we have a series of variants or alternate versions. Editors of the Hesiodic works have indeed drawn attention to many of these ‘echoes,’ but they have been content to let the matter rest when they have drawn a distinction between ‘prima’ and ‘altera recensio,’ and have labelled one or other of them as ‘spurious.’ Yet this feature in the Hesiodic vulgate is surely of the highest interest and importance. How came these variant passages to be ‘stitched’ together, and when was the stitching done? (shrink)

In Proverb. Vat. IV. 3 the proverbial σιδειον γρας is somewhat darkly explained as follows: ριστοτλης ν ρχομενων πολιτεα δς τετφθαι φησ τν σοδον κα πιγ἗μματος τοδε τνχεν. Χαρε, δς βσας κα δς τον ντιβολσας, σοδ′, νθρποις μτρον χων σοης.

This paper presents a basically new theory of values. Potential goods such as flying machines have been creatively actualized and thus value is creative actualization. Norms, ideals, standards, and theories also require creative actualization. As actions melioristically transform the world for the better, the goals of action provide purpose and meaning, as well as the ground of change, a superior goal providing the end for which agents undertake action. The kinds of value represent irreducibly plural categories of good: beauty, knowledge, (...) prosperity, intimacy, and so on. (shrink)

Originally published in 1965. This is a textbook of modern deductive logic, designed for beginners but leading further into the heart of the subject than most other books of the kind. The fields covered are the Propositional Calculus, the more elementary parts of the Predicate Calculus, and Syllogistic Logic treated from a modern point of view. In each of the systems discussed the main emphases are on Decision Procedures and Axiomatisation, and the material is presented with as much formal rigour (...) as is compatible with clarity of exposition. The techniques used are not only described but given a theoretical justification. Proofs of Consistency, Completeness and Independence are set out in detail. The fundamental characteristics of the various systems studies, and their relations to each other are established by meta-logical proofs, which are used freely in all sections of the book. Exercises are appended to most of the chapters, and answers are provided. (shrink)