Investigating Notions of Proof


Book Description

Although proof is seen by most mathematicians as lying at the heart of mathematics, it is rarely explicitly taught at any point in the mathematics curriculum. This is compounded by the fact that within the mathematics and education communities there is no clear definition of or consensus on what actually constitutes proof. In this book a fallibilist approach based on the work of Imre Lakatos is adopted, and proof and proving are set within the context of a form of social knowledge in order to gain insight into the proof-activities of degree level mathematics students.




Proof and Falsity


Book Description

Provides an original analysis of negation - a central concept of logic - and how to define its meaning in proof-theoretic semantics.




Book of Proof


Book Description

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.




Proofs and Refutations


Book Description

Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.




Principia Mathematica


Book Description




Automated Deduction - CADE 28


Book Description

This open access book constitutes the proceeding of the 28th International Conference on Automated Deduction, CADE 28, held virtually in July 2021. The 29 full papers and 7 system descriptions presented together with 2 invited papers were carefully reviewed and selected from 76 submissions. CADE is the major forum for the presentation of research in all aspects of automated deduction, including foundations, applications, implementations, and practical experience. The papers are organized in the following topics: Logical foundations; theory and principles; implementation and application; ATP and AI; and system descriptions.




A Concise Introduction to Logic


Book Description







Introduction to Criminal Investigation


Book Description

The manner in which criminal investigators are trained is neither uniform nor consistent, ranging from sophisticated training protocols in some departments to on-the-job experience alongside senior investigators in others. Ideal for students taking a first course in the subject as well as professionals in need of a refresher, Introduction to Criminal Investigation uses an accessible format to convey concepts in practical, concrete terms. Topics discussed include: The history of criminal investigation in Western society Qualifications for becoming an investigator, the selection process, and ideal training requirements Crime scene search techniques, including planning and post-search debriefing Preparing effective field notes and investigative reports Interviewing and interrogating Types of evidence found at the crime scene and how to collect, package, and preserve it The contributions of forensic science to criminal investigations and the equipment used in crime labs Investigative protocol for a range of crimes, including property crimes, auto theft, arson, financial crimes, homicide, assault, sex crimes, and robbery Specialized investigations, including drug trafficking, cybercrime, and gang-related crime Legal issues involved in criminal investigations and preparing a case for trial Bringing together contributions from law enforcement personnel, academics, and attorneys, the book combines practical and theoretical elements to provide a comprehensive examination of today‘s criminal investigative process. The accessible manner in which the information is conveyed makes this an ideal text for a wide-ranging audience.




Proof


Book Description

THE STORY: On the eve of her twenty-fifth birthday, Catherine, a troubled young woman, has spent years caring for her brilliant but unstable father, a famous mathematician. Now, following his death, she must deal with her own volatile emotions; the