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A New Introduction to Modal Logic by G.E. Hughes
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Monadology and Other Philosophical Essays
Gottfried Wilhelm Leibniz - 1714
Written toward the end of his life in order to support a metaphysics of simple substances, it's thus about formal atoms which aren't physical but metaphysical. The Monadology is written in 90 logical paragraphs, each generally following from the previous. Its name is due to the fact that Leibniz, imitating Marsilio Ficino, Giordano Bruno & Viscountess Anne Conway, wanted to keep together the meanings of monas (Greek, unity) & logos (treatise/science/word/reason). Therefore, the Monadology came to be the science of the unity. The text is dialectically reasoned, facing questions & problems helping readers to advance. For instance, it can be accepted that composed bodies are something derived, extended, phenomenal or repeated according to simple substances (later expressed by Kant's phenomena-noumena dichotomy). Is the soul a monad? If affirmative, then the soul is a simple substance. If it's an aggregate of matter, then it cannot be a monad. Leibniz, 1st using the term in 1696, ties almost all ancient & early modern meanings of "monad" together in his metaphysical hypothesis of infinitely many simple substances. Monads are everywhere in matter & are either noticeably active (awake), when they form the central or governing monad, which is the center of activity & of perception within an organism, or they are only weakly active (asleep), when they belong to the countless subordinate monads w/in or outside of an organic body. Monads are the sources of any spontaneous action unexplainable in mechanical terms. They constitute the unity of any individual. All monads are living mirrors representing the whole universe, because of the lack of any vacuum they have an irrecognizably obscure recognition of every body in the world; & they appetite, which means they strive from one perception to the next. Nevertheless all monads differ in the degree of clarity & distinction with which they perceive the surrounding world according to the organic body in which they're incorporated. The most fundamental level in the hierarchy of monads are the entelechies, which are genuine centers of a non-physical force, namely a spontaneous activity in organisms. If these centers are capable of sentiment & memory, as in animals, they're called souls. The highest level of monads are souls endowed with reason, or spirits, reflectively self-conscious. Leibniz characterizes monads as metaphysical points, animate points or metaphysical atoms. In contrast to those physical atoms postulated by classic atomism they aren't extended & thus aren't bodies. As he explains in letters to Burchard de Volder & Bartholomew des Bosses, this doesn't imply that monads are immaterial. They rather consist of two inseparable principles constituting together a complete substance or monad: the innermost center of a monad, i.e. the mathematical point, where the entelechy, soul or spirit is located, is the monad's inner form. This form has no existence in itself, but is incarnated in a physical point or an infinitesimally small sphere, the "vehicle of the soul". This hull consists of a special matter, called primary matter (materia prima-matière primitive). The problem that monads are supposed to have some kind of matter on the one hand, but to have neither any parts nor extension on the other, may be explained by the dynamic nature of primary matter. Leibniz conceives primary matter in contrast to the 2nd matter (materia secunda), i.e. extended & purely phenomenal bodies. Primary matter is a very fine, fluid & elastic matter, which he identifies in his early "Hypothesis physica nova" (1671) with aether, spiritus or matter of light, flowing anywhere thru every body. Strictly taken, this primary matter or matter of light doesn't consist in "extension, but in the desire to extension": "The nature of light strives to extend itself". The animate centre of a monad cannot exist w/out the encasing coating fluid of light, because 1stly monads w/out this passive principle couldn't perceive any impressions from the exterior world, & because 2ndly they'd have no limitation of power. "It follows that God can never strip any created substance bare of its primary matter, even tho by his absolute power he can take off her 2ndary matter; otherwise he would make it become pure activity, which can only be himself." Only God is free from any matter, he's the creating 1st monad, out of which all created monads derive by continuous effulgurations. The punch-line of the monad or metaphysical point is its dynamical unity of the mathematical centre & the encasing physical point: The fluid ethereal sphere of the monad is extended, has parts & can be destroyed, but in every deformation or division of the sphere the mathematical point in which the soul is incarnated shall outlive within the smallest remaining fluid. Indestructible therefore isn't the whole sphere consisting in matter of light, but only the dynamic point within the monad. Leibniz understands monads as the intellectual answer to the mind-body problem, radically exposed by Descartes. Because he conceives soul (not the monad) as an immaterial centre, he denies any direct interaction or physical influence (influxus physicus) between body & soul. He allocates the causal connection between both w/in the monad, because its fluid ethereal matter is the substantial bond (vinculum substantiale) between body & mind. The circulation of the aether or matter of light thru visible worldly bodies is the preestablished divine artifice, which constitutes the exact correspondence & harmony between the perceptions of the soul & the bodies' movements. Preestablished harmony doesn't only govern the relation between body & soul, but also between monads. According to Leibniz’ slogan, monads have "no windows" or portals, thru which something could enter from the outside or could escape from the inside since the monad's center in which the soul is incarnated is always encased by its own primary matter. Despite that, the monad represents in a spontaneous act the surrounding world with an individual perspective, constituted by its punctual structure of centre, radius & circumference. The Monadology tried to put an end from a monist point of view to the main question of what is reality & particularly to the problem of communication of substances, both studied by Descartes. Leibniz offered a new solution to mind/matter interaction by means of a preestablished harmony expressed as the Best of all possible worlds form of optimism; in other words, he drew the relationship between “the kingdom of final causes”, or teleological ones, & “the kingdom of efficient causes”, or mechanical ones, which wasn't causal, but synchronous. Monads & matter are only apparently linked. There isn't even any communication between different monads, as far as they act according to their degree of distinction only, as they were influenced by bodies & vice versa. Leibniz fought against Cartesian dualism in his Monadology & tried to surpass it thru a metaphysical system considered at the same time monist (since only the unextended is substantial) & pluralist (as substances are disseminated in the world in infinite number). For that reason the monad is an irreducible force, which makes it possible for the bodies to have the characteristics of inertia & impenetrability, & which contains in itself the source of all its actions. Monads are the 1st elements of every composed thing.
The Essential Tension: Selected Studies in Scientific Tradition and Change
Thomas S. Kuhn - 1977
A Treatise Concerning the Principles of Human Knowledge
George Berkeley - 1710
"A Treatise Concerning the Principles of Human Knowledge" is one of Berkeley's best known works and in it Berkeley expounds upon this idea of subjective idealism, which in other words is the idea that all of reality, as far as humans are concerned, is simply a construct of the way our brains perceive and according to Berkeley no other sense of reality matters beyond that which we perceive.
Mathematical Thought from Ancient to Modern Times, Volume 1
Morris Kline - 1972
Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.
Discrete-Event System Simulation
Jerry Banks - 1983
This text provides a basic treatment of discrete-event simulation, including the proper collection and analysis of data, the use of analytic techniques, verification and validation of models, and designing simulation experiments. It offers an up-to-date treatment of simulation of manufacturing and material handling systems, computer systems, and computer networks. Students and instructors will find a variety of resources at the associated website, www.bcnn.net, including simulation source code for download, additional exercises and solutions, web links and errata.
Introduction to Mineralogy
William D. Nesse - 1999
It presents the important traditional content of mineralogy including crystallography, chemical bonding, controls on mineral structure, mineral stability, and crystal growth to provide a foundation that enables students to understand the nature and occurrence of minerals. Physical, optical, and X-ray powder diffraction techniques of mineral study are described in detail, and common chemical analytical methods are outlined as well. Detailed descriptions of over 100 common minerals are provided, and the geologic context within which these minerals occur is emphasized. Appendices provide tables and diagrams to help students with mineral identification, using both physical and optical properties. Numerous line drawings, photographs, and photomicrographs help make complex concepts understandable. Introduction to Mineralogy not only provides specific knowledge about minerals but also helps students develop the intellectual tools essential for a solid, scientific education. This comprehensive text is useful for undergraduate students in a wide range of mineralogy courses.
Philosophy of Mind
Jaegwon Kim - 1996
But it has never held a more important place than it does today, with both traditional problems and new topics often sparked by the developments in the psychological, cognitive, and computer sciences. Jaegwon Kim's Philosophy of Mind is the classic, comprehensive survey of the subject. Now in its second edition, Kim explores, maps, and interprets this complex and exciting terrain. Designed as an introduction to the field for upper-level undergraduates and graduate students, Philosophy of Mind focuses on the mind/body problem and related issues, some touching on the status of psychology and cognitive science. The second edition features a new chapter on Cartesian substance dualism-a perspective that has been little discussed in the mainstream philosophy of mind and almost entirely ignored in most introductory books in philosophy of mind. In addition, all the chapters have been revised and updated to reflect the trends and developments of the last decade. Throughout the text, Kim allows readers to come to their own terms with the central problems of the mind. At the same time, the author's own emerging views are on display and serve to move the discussion forward. Comprehensive, clear, and fair, Philosophy of Mind is a model of philosophical exposition. It is a major contribution to the study and teaching of the philosophy of mind.
The Book of Numbers
John H. Conway - 1995
Whether it is a visualization of the Catalan numbers or an explanation of how the Fibonacci numbers occur in nature, there is something in here to delight everyone. The diagrams and pictures, many of which are in color, make this book particularly appealing and fun. A few of the discussions may be confusing to those who are not adept mathematicians; those who are may be irked that certain facts are mentioned without an accompanying proof. Nonetheless, The Book of Numbers will succeed in infecting any reader with an enthusiasm for numbers.
Scepticism and Animal Faith
George Santayana - 1923
The central concept of his philosophy is found in a careful discrimination between the awareness of objects independent of our perception and the awareness of essences attributed to objects by our mind, or between what Santayana calls the realm of existents and the realm of subsistents. Since we can never be certain that these attributes actually inhere in a substratum of existents, skepticism is established as a form of belief, but animal faith is shown to be a necessary quality of the human mind. Without this faith there could be no rational approach to the necessary problem of understanding and surviving in this world.Santayana derives this practical philosophy from a wide and fascinating variety of sources. He considers critically the positions of such philosophers as Descartes, Euclid, Hume, Kant, Parmenides, Plato, Pythagoras, Schopenhauer, and the Buddhist school as well as the assumptions made by the ordinary man in everyday situations. Such matters as the nature of belief, the rejection of classical idealism, the nature of intuition and memory, symbols and myth, mathematical reality, literary psychology, the discovery of essence, sublimation of animal faith, the implied being of truth, and many others are given detailed analyses in individual chapters.
Ptolemy's Almagest
Ptolemy
A masterpiece of technical exposition, it was the basic textbook of astronomy for more than a thousand years, and still is the main source for our knowledge of ancient astronomy. This translation, based on the standard Greek text of Heiberg, makes the work accessible to English readers in an intelligible and reliable form. It contains numerous corrections derived from medieval Arabic translations and extensive footnotes that take account of the great progress in understanding the work made in this century, due to the discovery of Babylonian records and other researches. It is designed to stand by itself as an interpretation of the original, but it will also be useful as an aid to reading the Greek text.
The Origins of Order: Self-Organization and Selection in Evolution
Stuart A. Kauffman - 1993
The book drives to the heart of the exciting debate on the origins of life and maintenance of order in complex biological systems. It focuses on the concept of self-organization: the spontaneous emergence of order that is widely observed throughout nature Kauffman argues that self-organization plays an important role in the Darwinian process of natural selection. Yet until now no systematic effort has been made to incorporate the concept of self-organization into evolutionary theory. The construction requirements which permit complex systems to adapt are poorly understood, as is the extent to which selection itself can yield systems able to adapt more successfully. This book explores these themes. It shows how complex systems, contrary to expectations, can spontaneously exhibit stunning degrees of order, and how this order, in turn, is essential for understanding the emergence and development of life on Earth. Topics include the new biotechnology of applied molecular evolution, with its important implications for developing new drugs and vaccines; the balance between order and chaos observed in many naturally occurring systems; new insights concerning the predictive power of statistical mechanics in biology; and other major issues. Indeed, the approaches investigated here may prove to be the new center around which biological science itself will evolve. The work is written for all those interested in the cutting edge of research in the life sciences.
How to Solve It: A New Aspect of Mathematical Method
George Pólya - 1944
Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.
What Computers Still Can't Do: A Critique of Artificial Reason
Hubert L. Dreyfus - 1972
The world has changed since then. Today it is clear that "good old-fashioned AI," based on the idea of using symbolic representations to produce general intelligence, is in decline (although several believers still pursue its pot of gold), and the focus of the AI community has shifted to more complex models of the mind. It has also become more common for AI researchers to seek out and study philosophy. For this edition of his now classic book, Dreyfus has added a lengthy new introduction outlining these changes and assessing the paradigms of connectionism and neural networks that have transformed the field. At a time when researchers were proposing grand plans for general problem solvers and automatic translation machines, Dreyfus predicted that they would fail because their conception of mental functioning was naive, and he suggested that they would do well to acquaint themselves with modern philosophical approaches to human being. "What Computers Still Can't Do" was widely attacked but quietly studied. Dreyfus's arguments are still provocative and focus our attention once again on what it is that makes human beings unique.
An Autobiography
R.G. Collingwood - 1939
Collingwood was originally published in 1939 and we are now republishing it with a brand new introductory biography. 'An Autobiography' is the story of Collingwood's personal and academic life. Robin George Collingwood was born on 22nd February 1889, in Cartmel, England. He was the son of author, artist, and academic, W. G. Collingwood. He was greatly influenced by the Italian Idealists Croce, Gentile, and Guido de Ruggiero. Another important influence was his father, a professor of fine art and a student of Ruskin. He published many works of philosophy, such as Speculum Mentis (1924), An Essay on Philosophic Method (1933), and An Essay on Metaphysics (1940).
Morality Without God?
Walter Sinnott-Armstrong - 2009
Walter Sinnott-Armstrong argues that God is not only not essential to morality, but that our moral behavior should be utterly independent of religion. He attacks several core ideas: that atheists are inherently immoral people; that any society will sink into chaos if it is becomes too secular; that without religion, we have no reason to be moral; that absolute moral standards require the existence of God; and that without religion, we simply couldn't know what is wrong and what is right.Sinnott-Armstrong brings to bear convincing examples and data, as well as a lucid, elegant, and easy to understand writing style. This book should fit well with the debates raging over issues like evolution and intelligent design, atheism, and religion and public life as an example of a pithy, tightly-constructed argument on an issue of great social importance.In his call for sincere dialogue with theists, Sinnott-Armstrong provides a welcome relief from the apoplectic excesses of Richard Dawkins and Christopher Hitchens, while also addressing objections to homosexuality and evolution frequently raised by evangelical Christians. --Publishers Weekly [I]t is accessible and lively, my hope is that it will be widely read, especially by theists.--Peter Lamal, The Humanist ... the clarity of this text successfully defuses many erroneous claims about religion and morality, both popular and academic; this volume certainly deserves a wide audience in this increasingly secular and skeptical world. -ChoiceMorality Without God? is an engaging, pithy book arguing against the necessity of God and religion for a robust morality. Walter Sinnott-Armstrong has distinguished himself as a leading philosopher in his work on metaethics and moral psychology, as well as books on moral and epistemological skepticism, and in Morality Without God? he commendably succeeds in writing a philosophically respectable introduction to the problems facing religious morality suitable for virtually any audience. --Philosophia Christi