Alan Turing's Systems of Logic: The Princeton Thesis
5/5
()
About this ebook
A facsimile edition of Alan Turing's influential Princeton thesis
Between inventing the concept of a universal computer in 1936 and breaking the German Enigma code during World War II, Alan Turing (1912–1954), the British founder of computer science and artificial intelligence, came to Princeton University to study mathematical logic. Some of the greatest logicians in the world—including Alonzo Church, Kurt Gödel, John von Neumann, and Stephen Kleene—were at Princeton in the 1930s, and they were working on ideas that would lay the groundwork for what would become known as computer science. This book presents a facsimile of the original typescript of Turing's fascinating and influential 1938 Princeton PhD thesis, one of the key documents in the history of mathematics and computer science. The book also features essays by Andrew Appel and Solomon Feferman that explain the still-unfolding significance of the ideas Turing developed at Princeton.
A work of philosophy as well as mathematics, Turing's thesis envisions a practical goal—a logical system to formalize mathematical proofs so they can be checked mechanically. If every step of a theorem could be verified mechanically, the burden on intuition would be limited to the axioms. Turing's point, as Appel writes, is that "mathematical reasoning can be done, and should be done, in mechanizable formal logic." Turing's vision of "constructive systems of logic for practical use" has become reality: in the twenty-first century, automated "formal methods" are now routine.
Presented here in its original form, this fascinating thesis is one of the key documents in the history of mathematics and computer science.
Related to Alan Turing's Systems of Logic
Related ebooks
Introduction to Mathematical Logic (PMS-13), Volume 13 Rating: 5 out of 5 stars5/5A Short Account of the History of Mathematics Rating: 3 out of 5 stars3/5Introduction to Logic: and to the Methodology of Deductive Sciences Rating: 5 out of 5 stars5/5Mathematical Logic and Formalized Theories: A Survey of Basic Concepts and Results Rating: 4 out of 5 stars4/5How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics Rating: 4 out of 5 stars4/5Philosophy & Ethics: Philosophical Approaches, Critical Thinking & Critical Analysis in Ethics. Rating: 0 out of 5 stars0 ratingsGödel's Proof Rating: 4 out of 5 stars4/5The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age Rating: 4 out of 5 stars4/5Introduction to Calculus and Analysis II/1 Rating: 5 out of 5 stars5/5Three Views of Logic: Mathematics, Philosophy, and Computer Science Rating: 0 out of 5 stars0 ratingsEveryday Calculus: Discovering the Hidden Math All around Us Rating: 4 out of 5 stars4/5Theory of Computation Rating: 0 out of 5 stars0 ratingsComplex Analysis Rating: 3 out of 5 stars3/5Prelude to Mathematics Rating: 4 out of 5 stars4/5History of Analytic Geometry Rating: 5 out of 5 stars5/5First Course in Mathematical Logic Rating: 3 out of 5 stars3/5Proof Theory: Second Edition Rating: 0 out of 5 stars0 ratingsA Beginner's Guide to Mathematical Logic Rating: 3 out of 5 stars3/5Boolean Algebra and Its Applications Rating: 4 out of 5 stars4/5Beginning x64 Assembly Programming: From Novice to AVX Professional Rating: 0 out of 5 stars0 ratingsThe Mathematics of Secrets: Cryptography from Caesar Ciphers to Digital Encryption Rating: 0 out of 5 stars0 ratingsA Course in Complex Analysis Rating: 0 out of 5 stars0 ratingsWriting for Computer Science Rating: 4 out of 5 stars4/5How to Solve It: A New Aspect of Mathematical Method Rating: 4 out of 5 stars4/5Algebra of Proofs Rating: 5 out of 5 stars5/5Basic Concepts of Probability and Statistics in the Law Rating: 4 out of 5 stars4/5Applied Partial Differential Equations Rating: 0 out of 5 stars0 ratingsFoundations of Set Theory Rating: 0 out of 5 stars0 ratingsRead Write Code: A Friendly Introduction to the World of Coding, and Why It’s the New Litera Rating: 0 out of 5 stars0 ratingsModel Theory Rating: 0 out of 5 stars0 ratings
Computers For You
SQL QuickStart Guide: The Simplified Beginner's Guide to Managing, Analyzing, and Manipulating Data With SQL Rating: 4 out of 5 stars4/5Mastering ChatGPT: 21 Prompts Templates for Effortless Writing Rating: 5 out of 5 stars5/5Deep Search: How to Explore the Internet More Effectively Rating: 5 out of 5 stars5/5The ChatGPT Millionaire Handbook: Make Money Online With the Power of AI Technology Rating: 0 out of 5 stars0 ratingsUltimate Guide to Mastering Command Blocks!: Minecraft Keys to Unlocking Secret Commands Rating: 5 out of 5 stars5/5CompTIA Security+ Practice Questions Rating: 2 out of 5 stars2/5How to Create Cpn Numbers the Right way: A Step by Step Guide to Creating cpn Numbers Legally Rating: 4 out of 5 stars4/5Procreate for Beginners: Introduction to Procreate for Drawing and Illustrating on the iPad Rating: 0 out of 5 stars0 ratingsGrokking Algorithms: An illustrated guide for programmers and other curious people Rating: 4 out of 5 stars4/5Creating Online Courses with ChatGPT | A Step-by-Step Guide with Prompt Templates Rating: 4 out of 5 stars4/5Network+ Study Guide & Practice Exams Rating: 4 out of 5 stars4/5Practical Lock Picking: A Physical Penetration Tester's Training Guide Rating: 5 out of 5 stars5/5Dark Aeon: Transhumanism and the War Against Humanity Rating: 5 out of 5 stars5/5CompTIA IT Fundamentals (ITF+) Study Guide: Exam FC0-U61 Rating: 0 out of 5 stars0 ratingsAP Computer Science Principles Premium, 2024: 6 Practice Tests + Comprehensive Review + Online Practice Rating: 0 out of 5 stars0 ratingsThe Professional Voiceover Handbook: Voiceover training, #1 Rating: 5 out of 5 stars5/5Childhood Unplugged: Practical Advice to Get Kids Off Screens and Find Balance Rating: 0 out of 5 stars0 ratingsChatGPT Ultimate User Guide - How to Make Money Online Faster and More Precise Using AI Technology Rating: 0 out of 5 stars0 ratingsHacking: Ultimate Beginner's Guide for Computer Hacking in 2018 and Beyond: Hacking in 2018, #1 Rating: 4 out of 5 stars4/5Elon Musk Rating: 4 out of 5 stars4/5101 Awesome Builds: Minecraft® Secrets from the World's Greatest Crafters Rating: 4 out of 5 stars4/5Master Builder Roblox: The Essential Guide Rating: 4 out of 5 stars4/5
Reviews for Alan Turing's Systems of Logic
2 ratings1 review
- Rating: 5 out of 5 stars5/5Surprisingly readable if you are into computer science or logic systems. If not, you may get lost very early on.