Intuitionism an Introduction PDF Download

Author: Arend Heyting
Publisher:
ISBN:
Category :
Languages : en
Pages : 145

View

Book Description

Author: M. Huemer
Publisher: Springer
ISBN: 023059705X
Category : Philosophy
Languages : en
Pages : 331

View

Book Description
A defence of ethical intuitionism where (i) there are objective moral truths; (ii) we know these through an immediate, intellectual awareness, or 'intuition'; and (iii) knowing them gives us reasons to act independent of our desires. The author rebuts the major objections to this theory and shows the difficulties in alternative theories of ethics.

Author: Michael Dummett
Publisher: Oxford University Press
ISBN: 9780198505242
Category : Mathematics
Languages : en
Pages : 350

View

Book Description
This is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an informal but thorough introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics has been completely revised for this second edition. Brouwer's proof of the Bar Theorem has been reworked, the account of valuation systems simplified, and the treatment of generalized Beth Trees and the completeness of intuitionistic first-order logic rewritten. Readers are assumed to have some knowledge of classical formal logic and a general awareness of the history of intuitionism.

Author: Carl J. Posy
Publisher: Cambridge University Press
ISBN: 1108593259
Category : Science
Languages : en
Pages : 116

View

Book Description
L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a program rebuilding modern mathematics according to that principle. This book introduces the reader to the mathematical core of intuitionism – from elementary number theory through to Brouwer's uniform continuity theorem – and to the two central topics of 'formalized intuitionism': formal intuitionistic logic, and formal systems for intuitionistic analysis. Building on that, the book proposes a systematic, philosophical foundation for intuitionism that weaves together doctrines about human grasp, mathematical objects and mathematical truth.

Author: Harrie de Swart
Publisher: Springer
ISBN: 3030032558
Category : Philosophy
Languages : en
Pages : 558

View

Book Description
This book was written to serve as an introduction to logic, with in each chapter – if applicable – special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read non-technical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Gödel’s Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege's Begriffsschrift, together with the works of George Boole (1815-1864) and August De Morgan (1806-1871), the origin of modern logic. Since "if ..., then ..." can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises. Philosophical and Mathematical Logic is a very recent book (2018), but with every aspect of a classic. What a wonderful book! Work written with all the necessary rigor, with immense depth, but without giving up clarity and good taste. Philosophy and mathematics go hand in hand with the most diverse themes of logic. An introductory text, but not only that. It goes much further. It's worth diving into the pages of this book, dear reader! Paulo Sérgio Argolo

Author: Grigori Mints
Publisher: Springer Science & Business Media
ISBN: 0306463946
Category : Computers
Languages : en
Pages : 130

View

Book Description
Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs to make the material more accessible. The presentation is based on natural deduction and readers are assumed to be familiar with basic notions of first order logic.

Author: Arend Heyting
Publisher: Elsevier
ISBN: 0444534067
Category : Electronic books
Languages : en
Pages : 159

View

Book Description

Author: Sten Lindström
Publisher: Springer Science & Business Media
ISBN: 1402089260
Category : Mathematics
Languages : en
Pages : 509

View

Book Description
This anthology reviews the programmes in the foundations of mathematics from the classical period and assesses their possible relevance for contemporary philosophy of mathematics. A special section is concerned with constructive mathematics.

Author: Catharine Allan
Publisher: Union Square + ORM
ISBN: 1454936770
Category : Body, Mind & Spirit
Languages : en
Pages : 123

View

Book Description
Discover, understand, and develop your extrasensory perception with this accessible introduction to the power of intuition. Intuition is something we’re all born with and use every day. But few of us consciously explore this innate ability. In A Little Bit of Intuition, spiritual life coach Catherine Allan teaches readers how to not only recognize their intuitive sense, but also to strengthen it like a muscle. With the right work, we all can increase our intuitive ability. Drawing on real-life examples from more than two decades of practice and teaching, Allan shows readers how to listen to their intuition, act upon it, and discover the resulting flow and magic that comes from living life intuitively.

Author: Luitzen Egbertus Jan Brouwer
Publisher: Cambridge University Press
ISBN: 9780521177368
Category : Mathematics
Languages : en
Pages : 130

View

Book Description
Luitzen Egburtus Jan Brouwer founded a school of thought whose aim was to include mathematics within the framework of intuitionistic philosophy; mathematics was to be regarded as an essentially free development of the human mind. What emerged diverged considerably at some points from tradition, but intuitionism has survived well the struggle between contending schools in the foundations of mathematics and exact philosophy. Originally published in 1981, this monograph contains a series of lectures dealing with most of the fundamental topics such as choice sequences, the continuum, the fan theorem, order and well-order. Brouwer's own powerful style is evident throughout the work.