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Revising the AGM Postulates
Revising the AGM Postulates

... about Juan and Jose. Suppose that we receive the following piece of new information: \Juan and Jose are compatriots" (). If we add the new information to our corpus of beliefs we obtain a new set of beliefs that contains the sentences ,  ,  and . We can dene an addition operation as an opera ...
Some Aspects and Examples of Innity Notions T ZF
Some Aspects and Examples of In nity Notions T ZF

a-logic - Digital Commons@Wayne State University
a-logic - Digital Commons@Wayne State University

... to apply standard logic to the empirical sciences. These included the problems of contrary-to-fact conditionals, of dispositional predicates, of confirmation theory and of probabilities for conditional statements, among others. ...
PowerPoint
PowerPoint

Principia Logico-Metaphysica (Draft/Excerpt)
Principia Logico-Metaphysica (Draft/Excerpt)

... Consequently, this excerpt omits the Preface, Acknowledgments, Part I (Chapters 1-6), Part II/Chapters 15–16 (which are being reworked), Part III (which is mostly unwritten), and some Appendices in Part IV. The excerpt contains references to some of this omitted content. The work is ongoing and so t ...
Bridge to Abstract Mathematics: Mathematical Proof and
Bridge to Abstract Mathematics: Mathematical Proof and

Ought, Agents, and Actions - Personal World Wide Web Pages
Ought, Agents, and Actions - Personal World Wide Web Pages

Introduction to Computational Logic
Introduction to Computational Logic

... and interactive theorem proving with the proof assistant Coq. At Saarland University the course is taught in this format since 2010. Students are expected to be familiar with basic functional programming and the structure of mathematical definitions and proofs. Talented students at Saarland Universi ...
relevance logic - Consequently.org
relevance logic - Consequently.org

... and to a lesser extent on [Meyer, 1966], both of which are very much recommended to the reader for their wise heresy from logical tradition. Thus logical tradition (think of [Quine, 1953]) makes much of the grammatical distinction between ‘if, then’ (a connective), and ‘implies’ or its rough synonym ...
Hilbert`s Program Then and Now
Hilbert`s Program Then and Now

Functional Dependencies in a Relational Database and
Functional Dependencies in a Relational Database and

... T h e concept of functional dependencies [ I] is one of the few in the database area that is both intuitively simple and yet complex enough that an advanced development is possible (see, for example, [2-61). Functional dependencies are important tools for database design: in fact, in one approach to ...
Notions of Computability at Higher Type
Notions of Computability at Higher Type

... of higher type? If the latter, what do we mean by an “operation”? The spirit in which we are asking these questions is not to demand definitive answers to them, but to make the point that many choices are possible. Indeed, as we shall see, many different responses to the above questions are exemplif ...
Hilbert`s Program Then and Now - Philsci
Hilbert`s Program Then and Now - Philsci

On Weak Ground
On Weak Ground

... Nevertheless, the question of whether any of these characterizations can be used to specify the notion is worth exploring. The arguments that follow, if sound, provide reasons not only for rejecting the full explications of the notion of weak ground suggested by the characterizations, but also for f ...
Reading 2 - UConn Logic Group
Reading 2 - UConn Logic Group

... 1. To find a complete axiom system for a classical propositional logic with additional atoms “t is a proof of F ” sketched by Gödel in ([46]) and to give an intended semantics for Gödel’s provability calculus S4. We introduce a system of computable operations on proofs (proof polynomials) and esta ...
The Z/EVES 2.0 User`s Guide - Department of Computer Science
The Z/EVES 2.0 User`s Guide - Department of Computer Science

Incompleteness
Incompleteness

Simply Logical: Intelligent Reasoning by Example
Simply Logical: Intelligent Reasoning by Example

Measure Quantifier in Monadic Second Order Logic
Measure Quantifier in Monadic Second Order Logic

Dialectica Interpretations A Categorical Analysis
Dialectica Interpretations A Categorical Analysis

CS 208: Automata Theory and Logic
CS 208: Automata Theory and Logic

Logic and Proof
Logic and Proof

lecture notes in logic - UCLA Department of Mathematics
lecture notes in logic - UCLA Department of Mathematics

Logic in Nonmonotonic Reasoning
Logic in Nonmonotonic Reasoning

... one lock produces an indirect effect of opening the suitcase if and only if the other lock is open. Such derived effects should be taken into account when combined with the inertia assumption, since they override the latter. The ramification problem has raised general questions on the nature of caus ...
Per Lindström FIRST
Per Lindström FIRST

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Truth-bearer

A truth-bearer is an entity that is said to be either true or false and nothing else. The thesis that some things are true while others are false has led to different theories about the nature of these entities. Since there is divergence of opinion on the matter, the term truth-bearer is used to be neutral among the various theories. Truth-bearer candidates include propositions, sentences, sentence-tokens, statements, concepts, beliefs, thoughts, intuitions, utterances, and judgements but different authors exclude one or more of these, deny their existence, argue that they are true only in a derivative sense, assert or assume that the terms are synonymous,or seek to avoid addressing their distinction or do not clarify it.
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