Sign-In
Cart
Games Iteration Numbers: A Philosophical Introduction to Computability Theory
Paperback
Series: Studies in Logic, Book 79
ISBN13: 9781848902985
Publisher: Kings College Pubn
Published: Jan 22 2019
Pages: 198
Weight: 0.63
Height: 0.42 Width: 6.14 Depth: 9.21
Language: English
Is it possible to conceive two perfectly identical objects? Is identity even possible without
individuality? How would a perfectly symmetrical universe be? The current philosophical debate on identity, and in particular on the necessity of the Leibniz's principle of the identity of indiscernibles, is complex and multi-faceted. Recent works have indicated that the problem becomes increasingly complex if we apply it to mathematical objects. Is it possible to speak of 'identity' for numbers? How can we identify numbers?
Drawing on philosophical accounts on identity and individuality in contemporary metaphysics (analytic and continental), this book explores a new path. The author argues that an identity without individuality is possible. By means of a critique of the idea of the identity of indiscernibles, the book formulates the concept of 'manifold identity', through the concept of 'iteration'. Iteration is a specific transgression of the identity of indiscernibles arising from the collision of two forms of identity: qualitative identity and numerical identity. Nonetheless, a pair of perfectly identical objects is still a paradox, a contradiction.
The first thesis of the book is that iteration is a paraconsistent and dialethetical logical structure, which allows for true contradiction. The author applies recent works in non-standard logic and dialetheism (Priest, Routley, Berto) to illustrate how we can make sense of the idea that objects can be perfectly identical but discernible.
The second thesis of the book is that iteration is the basis of enumerability and computability. A 'computable object' is an object constructed on the basis of an iterative logic. It is possible to re-
interpret all the primary concepts of computability theory through the logic of iteration.
Also in
Logic
True Facts That Sound Like Bull$#*t: 500 Insane-But-True Facts That Will Shock and Impress Your Friends 1
Carley, Shane
Paperback
The Fallacy Detective: Thirty-Eight Lessons on How to Recognize Bad Reasoning
Bluedorn, Hans
Bluedorn, Nathaniel
Paperback
The Thinking Toolbox: Thirty-Five Lessons That Will Build Your Reasoning Skills
Bluedorn, Hans
Bluedorn, Nathaniel
Paperback
True Facts That Sound Like Bull$#*t: 500 Insane-But-True Facts That Will Shock and Impress Your Friends
Carley, Shane
Hardcover
Walden - On Walden Pond - Life in the Woods - The Transcendentalist Masterpiece
Thoreau, Henry David
Paperback
Mastering Logical Fallacies: The Definitive Guide to Flawless Rhetoric and Bulletproof Logic
Withey, Michael
Paperback
The Pig That Wants to Be Eaten: 100 Experiments for the Armchair Philosopher
Baggini, Julian
Paperback
Logically Fallacious: The Ultimate Collection of Over 300 Logical Fallacies (Academic Edition)
Bennett, Bo
Hardcover
Socratic Logic: Edition 3.1: A Logic Text Using Socratic Method, Platonic Questions, & Aristotelian Principles
Kreeft, Peter
Hardcover
Logically Fallacious: The Ultimate Collection of Over 300 Logical Fallacies (Academic Edition)
Bennett, Bo
Paperback
The Art of Logical Thinking: Inductive, Deductive and Hypothetical Reasoning and the Use of Syllogisms and Fallacies
Atkinson, William Walker
Paperback
The Power of Critical Thinking: Effective Reasoning about Ordinary and Extraordinary Claims
Vaughn, Lewis
Paperback
Nonsense: Red Herrings, Straw Men and Sacred Cows: How We Abuse Logic in Our Everyday Language
Gula, Robert J.
Paperback
The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number
Frege, Gottlob
Paperback
The Critical Thinking Toolkit: Your Guide to Success in Learning, Thinking and Writing at University
Morris, Laurence
Beesley, Paula
Cooke, Belinda
Paperback
Deleuze's Philosophy of Time and Logic: Kant, Bergson, and the Labyrinth of the Continuum
Paetsch, John
Hardcover
Good Reasoning Matters!: A Guide to Critical Thinking in a Digital Age, Sixth Edition
Carozza, Linda
Tindale, Christopher W.
Groarke, Leo
Paperback
Tractatus Logico-Philosophicus (Chiron Academic Press - The Original Authoritative Edition)
Wittgenstein, Ludwig
Paperback
The Duck That Won the Lottery: 100 New Experiments for the Armchair Philosopher
Baggini, Julian
Paperback
With All Your Mind: A Course on Logic and Argument for the Christian Classroom
Finkbeiner, Brad Paul
Paperback
How to Think about the Great Ideas: From the Great Books of Western Civilization
Adler, Mortimer
Paperback
The Critical Thinking Toolkit: Your Guide to Success in Learning, Thinking and Writing at University
Morris, Laurence
Beesley, Paula
Cooke, Belinda
Hardcover
Swirling Symmetry: Thoughts and Images on Mathematics, Motion & Pattern
Coleman, Sandra DeLozier
Hardcover
The Annotated Gödel: A Reader's Guide to his Classic Paper on Logic and Incompleteness
Prince, Hal
Paperback
Master Your Mind: Critical-Thinking Exercises and Activities to Boost Brain Power and Think Smarter
Danesi, Marcel
Paperback
Gateway to the Stoics: Marcus Aurelius's Meditations, Epictetus's Enchiridion, and Selections from Seneca's Letters
Seneca
Aurelius, Marcus
Epictetus
Paperback
The Theory of Moral Sentiments (Royal Collector's Edition) (Case Laminate Hardcover with Jacket)
Smith, Adam
Hardcover
Critical Thinking: Tools for Taking Charge of Your Professional and Personal Life
Elder, Linda
Paul, Richard
Hardcover
Critical Reasoning: A Romp through the Foothills of Logic for the Complete Beginner
Talbot, Marianne
Paperback
Playing God with Emerging Technologies: How to Avoid the Traps of Techno-Optimism and Techno-Pessimism
Mizrahi, Moti
Hardcover
Stoic Quotes: 365 Daily Reflections & Thoughts of Wisdom to Strengthen your Perspective.
Harris, Tate
Paperback
Good Thinking: Why Flawed Logic Puts Us All at Risk and How Critical Thinking Can Save the World
Grimes, David Robert
Paperback
Autonomy, Consciousness, and Personhood: A Primer for the Public Dialogue on Abortion
Bujno, Stephen
Hardcover