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| Author | : Hilary Putnam |
| Publisher | : Cambridge University Press |
| Total Pages | : 380 |
| Release | : 1979-04-30 |
| Genre | : Mathematics |
| ISBN | : 9780521295505 |
This volume deals with the philosophy of mathematics and of science and the nature of philosophical and scientific enquiry.
| Author | : Hilary Putnam |
| Publisher | : CUP Archive |
| Total Pages | : 362 |
| Release | : 1975-11 |
| Genre | : Philosophy |
| ISBN | : 9780521206655 |
| Author | : Hilary Putnam |
| Publisher | : Cambridge University Press |
| Total Pages | : 382 |
| Release | : 2012-05-11 |
| Genre | : Philosophy |
| ISBN | : 1139241664 |
| Author | : H. W. Wyld |
| Publisher | : CRC Press |
| Total Pages | : 296 |
| Release | : 2018-03-14 |
| Genre | : Science |
| ISBN | : 0429978642 |
This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
| Author | : Russell Marcus |
| Publisher | : Bloomsbury Publishing |
| Total Pages | : 849 |
| Release | : 2016-02-11 |
| Genre | : Philosophy |
| ISBN | : 1472529480 |
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
| Author | : Victoria S. Harrison |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 262 |
| Release | : 2012-12-06 |
| Genre | : Religion |
| ISBN | : 9401008728 |
The Apologetic Value of Human Holiness begins by providing the first comprehensive account of the model of human holiness developed by the leading theologian Hans Urs von Balthasar. In so doing, the book also provides the first detailed explication of his Christocentric philosophical anthropology. Part 2 argues that von Balthasar anticipates some key developments in late twentieth-century Anglo-American analytical philosophy, and that certain of these developments - in particular, the `internal realism' of Hilary Putnam - provide powerful support for von Balthasar's theological philosophy. The final part elucidates von Balthasar's core intuition that human holiness is of immense apologetic value for religious faith, and concludes with a new, `internalist' theory of religious pluralism. The Apologetic Value of Human Holiness will be seen as an important and original contribution to both Philosophy of Religion and Theology, and is likely to prove essential reading in upper-level undergraduate and postgraduate courses in both subjects.
| Author | : Jerrold J. Katz |
| Publisher | : MIT Press |
| Total Pages | : 268 |
| Release | : 1997-12-08 |
| Genre | : Philosophy |
| ISBN | : 9780262263290 |
Jerrold Katz develops a new philosophical position integrating realism and rationalism. In Realistic Rationalism, Jerrold J. Katz develops a new philosophical position integrating realism and rationalism. Realism here means that the objects of study in mathematics and other formal sciences are abstract; rationalism means that our knowledge of them is not empirical. Katz uses this position to meet the principal challenges to realism. In exposing the flaws in criticisms of the antirealists, he shows that realists can explain knowledge of abstract objects without supposing we have causal contact with them, that numbers are determinate objects, and that the standard counterexamples to the abstract/concrete distinction have no force. Generalizing the account of knowledge used to meet the challenges to realism, he develops a rationalist and non-naturalist account of philosophical knowledge and argues that it is preferable to contemporary naturalist and empiricist accounts. The book illuminates a wide range of philosophical issues, including the nature of necessity, the distinction between the formal and natural sciences, empiricist holism, the structure of ontology, and philosophical skepticism. Philosophers will use this fresh treatment of realism and rationalism as a starting point for new directions in their own research.
| Author | : Ian Hacking |
| Publisher | : Cambridge University Press |
| Total Pages | : 307 |
| Release | : 2014-01-30 |
| Genre | : Mathematics |
| ISBN | : 1107050170 |
Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.
| Author | : V.I. Arnol'd |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 530 |
| Release | : 2013-04-09 |
| Genre | : Mathematics |
| ISBN | : 1475720637 |
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
| Author | : Paul Benacerraf |
| Publisher | : Cambridge University Press |
| Total Pages | : 604 |
| Release | : 1984-01-27 |
| Genre | : Science |
| ISBN | : 1107268133 |
The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.
