Logic with a Probability Semantics Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:
The present study is an extension of the topic introduced in Dr. Hailperin's Sentential Probability Logic, where the usual true-false semantics for logic is replaced with one based more on probability, and where values ranging from 0 to 1 are subject to probability axioms. Moreover, as the word 'sentential' in the title of that work indicates, the language there under consideration was limited to sentences constructed from atomic (not inner logical components) sentences, by use of sentential connectives ('no,' 'and,' 'or,' etc.) but not including quantifiers ('for all,' 'there is'). An initial introduction presents an overview of the book. In chapter one, Halperin presents a summary of results from his earlier book, some of which extends into this work. It also contains a novel treatment of the problem of combining evidence: how does one combine two items of interest for a conclusion-each of which separately impart a probability for the conclusion-so as to have a probability for the conclusion based on taking both of the two items of interest as evidence? Chapter two enlarges the Probability Logic from the first chapter in two respects: the language now includes quantifiers ('for all,' and 'there is') whose variables range over atomic sentences, not entities as with standard quantifier logic. (Hence its designation: ontological neutral logic.) A set of axioms for this logic is presented. A new sentential notion-the suppositional-in essence due to Thomas Bayes, is adjoined to this logic that later becomes the basis for creating a conditional probability logic. Chapter three opens with a set of four postulates for probability on ontologically neutral quantifier language. Many properties are derived and a fundamental theorem is proved, namely, for any probability model (assignment of probability values to all atomic sentences of the language) there will be a unique extension of the probability values to all closed sentences of the language. The chapter concludes by showing the Borel's early denumerable probability concept (1909) can be justified by its being, in essence, close to Hailperin's probability result applied to denumerable language. The final chapter introduces the notion of conditional-probability to a language having quantifiers of the kind discussed in chapter two. A definition of probability for this type of language is defined and some of its properties characterized. The much discussed and written about Confirmation Paradox is presented and theorems involving conditional probability for this quantifier language with the conditional are derived. Using these results, Hailperin obtains a resolution of this paradox.

Logic with a Probability Semantics by Theodore Hailperin

From reader reviews:

Elisa Hall:

What do you concentrate on book? It is just for students as they are still students or that for all people in the world, the particular best subject for that? Simply you can be answered for that question above. Every person has various personality and hobby for every single other. Don't to be forced someone or something that they don't desire do that. You must know how great and also important the book Logic with a Probability Semantics. All type of book would you see on many methods. You can look for the internet methods or other social media.

Janice Perry:

What do you with regards to book? It is not important with you? Or just adding material when you really need something to explain what the one you have problem? How about your spare time? Or are you busy man or woman? If you don't have spare time to complete others business, it is make you feel bored faster. And you have free time? What did you do? All people has many questions above. The doctor has to answer that question mainly because just their can do which. It said that about reserve. Book is familiar on every person. Yes, it is correct. Because start from on jardín de infancia until university need that Logic with a Probability Semantics to read.

Patricia Gallagher:

Now a day people who Living in the era wherever everything reachable by talk with the internet and the resources within it can be true or not require people to be aware of each info they get. How many people to be smart in receiving any information nowadays? Of course the correct answer is reading a book. Studying a book can help people out of this uncertainty Information specifically this Logic with a Probability Semantics book as this book offers you rich information and knowledge. Of course the information in this book hundred per-cent guarantees there is no doubt in it you probably know this.

Lucy Carson:

Reading a book being new life style in this season; every people loves to go through a book. When you read a book you can get a lots of benefit. When you read textbooks, you can improve your knowledge, because book has a lot of information on it. The information that you will get depend on what sorts of book that you have read. In order to get information about your review, you can read education books, but if you want to entertain yourself you can read a fiction books, this sort of us novel, comics, in addition to soon. The Logic with a Probability Semantics will give you new experience in reading through a book.