Book picks similar to
Reading Frege's Grundgesetze by Richard G. Heck Jr.


philosophy-of-mathematics
all-philosophy
logic-and-math
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Death and the Afterlife


Samuel Scheffler - 2013
    To what extent would you remain committed to your current projects and plans? Would scientists still search for a cure forcancer? Would couples still want children?In Death and the Afterlife, philosopher Samuel Scheffler poses this thought experiment in order to show that the continued life of the human race after our deaths--the afterlife of the title--matters to us to an astonishing and previously neglected degree. Indeed, Scheffler shows that, in certainimportant respects, the future existence of people who are as yet unborn matters more to us than our own continued existence and the continued existence of those we love. Without the expectation that humanity has a future, many of the things that now matter to us would cease to do so. By contrast, the prospect of our own deaths does little to undermine our confidence in the value of our activities. Despite the terror we may feel when contemplating our deaths, the prospect of humanity's imminent extinction would pose a far greater threat to our ability to lead lives of wholehearted engagement.Scheffler further demonstrates that, although we are not unreasonable to fear death, personal immortality, like the imminent extinction of humanity, would also undermine our confidence in the values we hold dear. His arresting conclusion is that, in order for us to lead value-laden lives, what isnecessary is that we ourselves should die and that others should live.Death and the Afterlife concludes with commentary by four distinguished philosophers--Harry Frankfurt, Niko Kolodny, Seana Shiffrin, and Susan Wolf--who discuss Scheffler's ideas with insight and imagination. Scheffler adds a final reply.

The Self and its Brain


Karl Popper - 1977
    Without pretending to be able to foresee future developments, both authors of this book think it improbable that the problem will ever be solved, in the sense that we shall really understand this relation. We think that no more can be expected than to make a little progress here or there. We have written this book in the hope that we have been able to do so. We are conscious of the fact that what we have done is very conjectur al and very modest. We are aware of our fallibility; yet we believe in the intrinsic value of every human effort to deepen our understanding of our selves and of the world we live in. We believe in humanism: in human rationality, in human science, and in other human achievements, however fallible they are. We are unimpressed by the recurrent intellectual fashions that belittle science and the other great human achievements. An additional motive for writing this book is that we both feel that the debunking of man has gone far enough - even too far. It is said that we had to learn from Copernicus and Darwin that man's place in the universe is not so exalted or so exclusive as man once thought. That may well be."

Truth: A Guide


Simon Blackburn - 1999
    Now Blackburn offers a tour de force exploration of what he calls the most exciting and engaging issue in the whole of philosophy--the age-old war over truth.The front lines of this war are well defined. On one side are those who believe in plain, unvarnished facts, rock-solid truths that can be found through reason and objectivity--that science leads to truth, for instance. Their opponents mock this idea. They see the dark forces of language, culture, power, gender, class, ideology and desire--all subverting our perceptions of the world, and clouding our judgement with false notions of absolute truth. Beginning with an early skirmish in the war--when Socrates confronted the sophists in ancient Athens--Blackburn offers a penetrating look at the longstanding battle these two groups have waged, examining the philosophical battles fought by Plato, Protagoras, William James, David Hume, Hans-Georg Gadamer, Jacques Derrida, Michel Foucault, Richard Rorty, and many others, with a particularly fascinating look at Nietzsche. Among the questions Blackburn considers are: is science mere opinion, can historians understand another historical period, and indeed can one culture ever truly understand another.Blackburn concludes that both sides have merit, and that neither has exclusive ownership of truth. What is important is that, whichever side we embrace, we should know where we stand and what is to be said for our opponents.

Stoicism: A Very Short Introduction


Brad Inwood - 2018
    - Provides an introductory account of Stoic philosophy- Addresses ancient Stoicism, its enduring legacy, and how the two are connected- Situates ancient Stoicism in the context of the rest of ancient philosophy- Offers an account of the reception of Stoic thought in the western tradition- Considers the place of Stoicism in modern life- Part of the Very Short Introductions series - over nine million copies sold worldwide

The Era, 1947-1957: When the Yankees, the Giants, and the Dodgers Ruled the World


Roger Kahn - 1993
    The Era begins in 1947 with Jackie Robinson changing major league baseball forever by taking the field for the Dodgers. Dazzling, momentous events characterize the decade that followed-Robinson's amazing accomplishments; the explosion on the national scene of such soon-to-be legends as Mickey Mantle, Willie Mays, Bobby Thomson, Duke Snider, and Yogi Berra; Casey Stengel's crafty managing; the emergence of televised games; and the stunning success of the Yankees as they play in nine out of eleven World Series. The Era concludes with the relocation of the Dodgers from Brooklyn to Los Angeles, a move that shook the sport to its very roots.

Minds, Brains and Science


John Rogers Searle - 1984
    How do we reconcile common sense and science? John Searle argues vigorously that the truths of common sense and the truths of science are both right and that the only question is how to fit them together.Searle explains how we can reconcile an intuitive view of ourselves as conscious, free, rational agents with a universe that science tells us consists of mindless physical particles. He briskly and lucidly sets out his arguments against the familiar positions in the philosophy of mind, and details the consequences of his ideas for the mind-body problem, artificial intelligence, cognitive science, questions of action and free will, and the philosophy of the social sciences.

Metaphysics: A Contemporary Introduction


Michael J. Loux - 1997
    This third edition of the successful textbook provides a fresh look at key topics in metaphysics and includes two new chapters on time and causation.Wherever possible, Loux links contemporary views to their classical sources in the history of philosophy. This new edition also keeps the user-friendly format, the chapter overviews summarizing the main topics and examples to clarify difficult concepts.

Essays on Actions and Events


Donald Davidson - 1980
    A superb work on the nature of human action, it features influential discussions of numerous topics. These include the freedom to act; weakness of the will; thelogical form of talk about actions, intentions, and causality; the logic of practical reasoning; Hume's theory of the indirect passions; and the nature and limits of decision theory.

Philosophical Devices: Proofs, Probabilities, Possibilities, and Sets


David Papineau - 2012
    Notions like denumerability, modal scope distinction, Bayesian conditionalization, and logical completeness are usually only elucidated deep within difficultspecialist texts. By offering simple explanations that by-pass much irrelevant and boring detail, Philosophical Devices is able to cover a wealth of material that is normally only available to specialists.The book contains four sections, each of three chapters. The first section is about sets and numbers, starting with the membership relation and ending with the generalized continuum hypothesis. The second is about analyticity, a prioricity, and necessity. The third is about probability, outliningthe difference between objective and subjective probability and exploring aspects of conditionalization and correlation. The fourth deals with metalogic, focusing on the contrast between syntax and semantics, and finishing with a sketch of Godel's theorem.Philosophical Devices will be useful for university students who have got past the foothills of philosophy and are starting to read more widely, but it does not assume any prior expertise. All the issues discussed are intrinsically interesting, and often downright fascinating. It can be read withpleasure and profit by anybody who is curious about the technical infrastructure of contemporary philosophy.

Proofs and Refutations: The Logic of Mathematical Discovery


Imre Lakatos - 1976
    Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

Bobby Approved: Your Ultimate Shopping Guide At The Grocery Store


Bobby Parrish - 2019
    The shopping guide is designed to help you identity the best products on the store shelves and allow you to access this guide easily, as you shop. Ultimately, this guide will make you a better shopper and it will help get you in and out of the store with ease. Disclaimer: The opinions in this book are my own. I am not a licensed dietician or food scientist.

Introduction to Logic: and to the Methodology of Deductive Sciences


Alfred Tarski - 1993
    According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge.Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a text on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers, and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundation of mathematics.

The Philosophy of Space and Time


Hans Reichenbach - 1957
    A brilliantly clear and penetrating exposition of developments in physical science and mathematics brought about by the advent of non-Euclidean geometries, including in-depth coverage of the foundations of geometry, the theory of time, Einstein's theory of relativity and its consequences, other key topics.

Hegel


Frederick C. Beiser - 2005
    Many of the major philosophical movements of the twentieth century - from existentialism to analytic philosophy - grew out of reactions against Hegel. He is also one of the hardest philosophers to understand and his complex ideas, though rewarding, are often misunderstood.In this magisterial and lucid introduction, Frederick Beiser covers every major aspect of Hegel's thought. He places Hegel in the historical context of nineteenth-century Germany whilst clarifying the deep insights and originality of Hegel's philosophy.A masterpiece of clarity and scholarship, Hegel is both the ideal starting point for those coming to Hegel for the first time and essential reading for any student or scholar of nineteenth century philosophy.Additional features: glossary chapter summaries chronology annotated further reading.

Essays on the Theory of Numbers


Richard Dedekind - 1901
    W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.