Judgments which assign relative importance to the causes of particular results can be objective. Historians usually do and can use a factual principle of selection to distinguish between causes and conditions and between more and less important causes. The judgments which distinguish between causes and conditions and the judgments which distinguish between more and less important causes require radically different analyses. In A. M. Jones's work on the decline and fall of Rome, he argued that increased barbarian pressure on the (...) West was the most important cause of Rome's fall. It is possible to understand this statement as an instantiation of the following: A was a more important cause of P relative to 0 than was B if 1) A and B were each a cause of P relative to 0 and 2) either A was necessary for P or B was not necessary for P and 3) had B not occurred, something would have occurred which more closely approximates P than had A not occurred. (shrink)

In this entertaining and challenging collection of logic puzzles, Raymond Smullyan-author of Forever Undecided-continues to delight and astonish us with his gift for making available, in the thoroughly pleasurable form of puzzles, some of the most important mathematical thinking of our time.

Collects a variety of mathematics and logic puzzles, some based on the theorems of the mathematician Kurt Godel.

The Tao Is Silent Is Raymond Smullyan's beguiling and whimsical guide to the meaning and value of eastern philosophy to westerners. "To me," Writes Smullyan, "Taoism means a state of inner serenity combined with an intense aesthetic awareness. Neither alone is adequate; a purely passive serenity is kind of dull, and an anxiety-ridden awareness is not very appealing." This is more than a book on Chinese philosophy. It is a series of ideas inspired by Taoism that treats a wide (...) variety of subjects about life in general. Smullyan sees the Taoist as "one who is not so much in search of something he hasn't, but who is enjoying what he has." Readers will be charmed and inspired by this witty, sophisticated, yet deeply religious author, whether he is discussing gardening, dogs, the art of napping, or computers who dream that they're human. (shrink)

A collection of paradoxes, dialogues, problems, and essays discusses aspects of philosophy, including the natures of reality, truth, existence, and death.

Eighty paradoxes, logical lobyrinths, and intriguing enigmas progress from light fables and fancies to challenging Zen exercises and a novella and probe the timeless questions of philosophy and life.

Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems. Smullyan's accessible narrative provides memorable examples of concepts related to proofs, propositional logic and first-order logic, incompleteness theorems, and incompleteness proofs. Additional topics include undecidability, combinatoric logic, and recursion theory. Suitable for undergraduate and (...) graduate courses, this book will also amuse and enlighten mathematically minded readers. (shrink)

Interferon (IFN) induced during a virus infection mediates antiviral effects both by direct inhibition of virus replication and by influencing the proliferation, differentiation, and chemotaxis of cyto‐toxic lymphocytes which control the infection. Cells from tissue taken from virus‐infected mice are conditioned by IFN to resist lysis by natural killer (NK) cells, while they become increasingly susceptible to lysis by cytotoxic Tlymphocytes (CTL). This is due to marked IFN‐induced biochemical changes, including an up‐regulation of major histocompatibility antigens, which are targets for (...) CTL. Cytopathic viruses, which inhibit cellular RNA and protein synthesis, render target cells refractory to IFN‐mediated protection against NK cells, thereby providing a mechanism for NK cells to mediate antiviral effect by preferentially lysing virus‐infected but not uninfected cells. (shrink)

An entertaining series of logic problems and puzzles of increasing difficulty, and all relating important mathematical and logical concepts, includes mind-benders, paradoxes, metapuzzles, number exercises, and a mathematical novel.

Generally speaking, it appears correct to say that in a formulation of first order logic in which a large number of connectives are taken as primitive which allows us to have our cake and eat it too.

More on propositional and first-order logic -- More on propositional logic -- More on first-order logic -- Recursion theory and metamathematics -- Some special topics -- Elementary formal systems and recursive enumerability -- Some recursion theory -- Doubling up -- Metamathematical applications -- Elements of combinatory logic -- Beginning combinatory logic -- Combinatorics galore -- Sages, oracles, and doublets -- Complete and partial systems -- Combinators, recursion, and the undecidable -- Where to go from here.

FRENCH philosophers from Descartes on have been particularly concerned with the philosophical significance of the human body. Perhaps, as Hyppolite declares, Merleau-Ponty most clearly articulates an ontology of the animate body. Such an interest is by no means confined to philosophers in the French tradition. Surprising, as it may seem, the early Hegel also had a strong interest in the theme of embodiment, the significance of which even Merleau-Ponty in his essay ‘Hegel’s Existentialism’ fails to grasp. The French phenomenologist argues (...) that once Hegel embarks on his discussion of Observational Reason the ‘existential’ viewpoint ceases. Thus, the existential problem of death becomes transmuted into a higher form of life through such ‘altitude thinking’. Even Zaner’s The Problem of Embodiment fails to explore the early Hegelian foundations of incarnate-consciousness in the thought of Marcel, Sartre and Merleau-Ponty. It seems appropriate therefore to briefly examine Hegel’s conception of embodiment in The Phenomenology of Mind on the 200th anniversary of his birth. (shrink)

After examining c.s. peirce's concept, taxonomy, and hierarchy of the theoretical sciences of discovery as well as his notion of the economy of research as an objective of science, a study is made of his occasional but distinct use of the term 'system' in conceptual and procedural contexts. the study shows that peirce's views on systems theory resemble current views held by some proponents of the systems concept and the systems approach to problem-solving.

A good historian often can assess the relative likelihood of competing historical claims more reliably on implicit grounds - intuitively, if you like - than in any other available way. This idea has been a persistent theme of Verstehen-theorists. It is, in essence, the old saw that there is no substitute for the brewmaster's nose, adapted to the art of producing historical brew. If true, it augments the importance of the historian relative to that of his arguments, and thereby gives (...) him a dignity that he might otherwise lack. And some have thought that it marks an important methodological difference between historical studies and the natural sciences. It is, in its way, a humane idea. But is it true? (shrink)