Book picks similar to
Frege: Philosophy of Mathematics by Michael Dummett


philosophy
philosophy-of-mathematics
philosophy-of-math
analytic-philosophy

Descartes' Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe


Amir D. Aczel - 2005
    His apothegm "Cogito, ergo sum" marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates have made our physical and intellectual conquest of physical space possible.But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes's death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians in history, moved to Paris in search of this notebook--and eventually found it in the possession of Claude Clerselier, a friend of Descartes. Leibniz called on Clerselier and was allowed to copy only a couple of pages--which, though written in code, he amazingly deciphered there on the spot. Leibniz's hastily scribbled notes are all we have today of Descartes's notebook, which has disappeared.Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions lead Amir Aczel and the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.

Basic Writings


Martin Heidegger - 1964
    Basic Writings offers a full range of this profound and controversial thinker's writings in one volume, including:The Origin of the Work of ArtThe introduction to Being and TimeWhat Is Metaphysics?Letter on HumanismThe Question Concerning TechnologyThe Way to LanguageThe End of Philosophy

Probability Theory: The Logic of Science


E.T. Jaynes - 1999
    It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

Science Fiction and Extro-Science Fiction, followed by "The Billiard Ball"


Quentin Meillassoux - 2013
    With his usual argumentative rigor, he elucidates the distinction between science fiction, a genre in which science remains possible in spite of all the upheavals that may attend the world in which the tale takes place, and fiction outside-science, the literary concept he fashions in this book, a fiction in which science becomes impossible. With its investigations of the philosophies of Hume, Kant, and Popper, Science Fiction and Fiction of Worlds Outside-Science broadens the inquiry that Meillassoux began in After Finitude, thinking through the concrete possibilities and consequences of a chaotic world in which human beings can no longer resort to science to ground their existence. It is a significant milestone in the work of an emerging philosopher, which will appeal to readers of both philosophy and literature. The text is followed by Isaac Asimov’s essay “The Billiard Ball.”

The Particles of the Universe


Jeff Yee - 2012
    Everything around us, including matter, is energy. A deep look into the mysteries of the subatomic world – the particles that make up the atom – provides answers to basic questions about how the universe works. To solve the future of mankind’s energy needs we need to understand the basic building blocks of the universe, including the atom and its parts. By exploring the subatomic world we’ll find more answers to our questions about time, forces like gravity and the matter that surrounds us. More importantly, we’ll find new ways to tap into the energy that exists around us to power our growing needs. In a new branch of particle physics, where tiny particles are thought of as energy waves, we find new answers that may help us in our quest to find alternative energy sources.

Hellenistic Philosophy: Introductory Readings


Brad Inwood - 1988
    Inwood and Gerson maintain the standard of consistency and accuracy that distinguished their translations in the first edition, while regrouping some material into larger, more thematically connected passages. This edition is further enhanced by a new, more spacious page design.

History of Astronomy


George Forbes - 1909
    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

Seeker After Truth


Idries Shah - 1982
    It is precisely because of the unreliability of vision, of memory, of wanting to believe, of induced belief ... that the Sufis say that an objective perception must be acquired before even familiar things can be seen as they are. "Seeker After Truth" goes beyond the familiar "first do this, then do that" style of handbook, transporting the reader to new ranges of perception, according to his or her capacity. Among the many assumptions questioned are: the objective worth of deep emotional feelings; the superiority of man's social habits over those of rats, and the origin of those habits; the evils of deceit ... The magazine Literary Review said about it: "This book ... is food for many different kinds of study - a book unlike anything our society has produced until recently, in its richness, its unexpectedness, its capacity to shock us into seeing ourselves as others see us, both personally and as a society."

The Presocratic Philosophers


Jonathan Barnes - 1979
    This volume provides a comprehensive and precise exposition of their arguments, and offers a rigorous assessment of their contribution to philosophical thought.

The Möbius Strip: Dr. August Möbius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology


Clifford A. Pickover - 2007
    Escher -- goes to some of the strangest spots imaginable. It takes us to a place where the purely intellectual enters our daily world: where our outraged senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller. Come along as Pickover traces the origins of the Mobius strip from the mid-1800s, when the visionary scientist Dr. August Mobius became the first to describe the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music. It has become a metaphor for change, strangeness, looping, and rejuvenation. Touching on everything from molecules and metal sculptures to postage stamps, architectural structures, and models of our entire universe, The Mobius Strip is lavishly illustrated and gives readers a glimpse into other worlds and new ways of thinking as Pickover reaches across cultures and dimensions.

The Fate of Reason: German Philosophy from Kant to Fichte


Frederick C. Beiser - 1987
    The philosophers of this time broke with the two central tenets of the modern Cartesian tradition: the authority of reason and the primacy of epistemology. They also witnessed the decline of the Aufkl�rung, the completion of Kant's philosophy, and the beginnings of post-Kantian idealism.Thanks to Frederick C. Beiser we can newly appreciate the influence of Kant's critics on the development of his philosophy. Beiser brings the controversies, and the personalities who engaged in them, to life and tells a story that has uncanny parallels with the debates of the present.

104 Number Theory Problems: From the Training of the USA IMO Team


Titu Andreescu - 2006
    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

Origami Design Secrets: Mathematical Methods for an Ancient Art


Robert J. Lang - 2003
    Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the centuries-old art of origami.

A System of Logic, Ratiocinative and Inductive: Being a Connected View of the Principles of Evidence and the Methods of Scientific Investigation


John Stuart Mill - 1843
    A System of Logic is the first major installment of his comprehensive restatement of an empiricist and utilitarian position. It begins the attack on ""intuitionism"" which Mill carried on throughout his life, and makes plain his belief that social planning and political action should rely primarily on scientific knowledge, not on authority, custom, revelation, or prescription.Contents Include: OF NAMES AND PROPOSITIONS Of the Necessity of commencing with an Analysis of Language Of Names Of the Things denoted by Names Of Proposition Of the Import of Propositions Of Propositions merely Verbal Of the nature of Classification and the five Predicables Of Definition OF REASONING Of Inference, or Reasoning in General Of Ratiocination, or Syllogism Of the Functions, and logical Values of Syllogism Of trains of Reasoning and Deductive Sciences Of Demonstration and Necessary truths OF INDUCTION Observations on Induction in General On the Ground of Induction Of the Laws of Nature Of The Law of Universal Causation Of The Composition of Causes Of Observation and Experiment, Four Methods of Experimental Enquiry Miscellaneous Examples Plurality of Causes Of the Deductive Method Explanation of Laws of Nature. Keywords: Knowledge, Theory of Logic Science Methodology

Quantum Enigma: Physics Encounters Consciousness


Bruce Rosenblum - 2006
    Can you believe that physical reality is created by our observation of it? Physicists were forced to this conclusion, the quantum enigma, by what they observed in their laboratories.Trying to understand the atom, physicists built quantum mechanics and found, to their embarrassment, that their theory intimately connects consciousness with the physical world. Quantum Enigma explores what that implies and why some founders of the theory became the foremost objectors to it. Schr�dinger showed that it absurdly allowed a cat to be in a superposition simultaneously dead and alive. Einstein derided the theory's spooky interactions. With Bell's Theorem, we now know Schr�dinger's superpositions and Einstein's spooky interactions indeed exist.Authors Bruce Rosenblum and Fred Kuttner explain all of this in non-technical terms with help from some fanciful stories and bits about the theory's developers. They present the quantum mystery honestly, with an emphasis on what is and what is not speculation.Physics' encounter with consciousness is its skeleton in the closet. Because the authors open the closet and examine the skeleton, theirs is a controversial book. Quantum Enigma's description of the experimental quantum facts, and the quantum theory explaining them, is undisputed. Interpreting what it all means, however, is controversial.Every interpretation of quantum physics encounters consciousness. Rosenblum and Kuttner therefore turn to exploring consciousness itself--and encounter quantum physics. Free will and anthropic principles become crucial issues, and the connection of consciousness with the cosmos suggested by some leading quantum cosmologists is mind-blowing.Readers are brought to a boundary where the particular expertise of physicists is no longer a sure guide. They will find, instead, the facts and hints provided by quantum mechanics and the ability to speculate for themselves.