- published: 07 Feb 2013
- views: 2587
Logical consequence (also entailment) is one of the most fundamental concepts in logic. It is the relationship between statements that holds true when one logically "follows from" one or more others. A valid logical argument is one in which the conclusions follow from its premises, and its conclusions are consequences of its premises. The philosophical analysis of logical consequence involves asking, 'in what sense does a conclusion follow from its premises?' and 'what does it mean for a conclusion to be a consequence of premises?' All of philosophical logic can be thought of as providing accounts of the nature of logical consequence, as well as logical truth.
Logical consequence is taken to be both necessary and formal with examples explicated using models and proofs. A sentence is said to be a logical consequence of a set of sentences, for a given language, if and only if, using logic alone (i.e. without regard to any interpretations of the sentences) the sentence must be true if every sentence in the set were to be true.
I discuss the notion of logical consequence, and outline two important approaches to consequence: the semantic/model-theoretic approach, and the syntactic/proof-theoretic approach. I focus on the system K, but it should be easy to see how the ideas can generalize to other systems.
http://www.ConsciousDiscipline.com
For Beg. Counseling Skills Class powerpoint presentation/Governors State University Intentional Interviewing and counseling/Ivey, Ivey & Zalaquett/2014 -- Created using PowToon -- Free sign up at http://www.powtoon.com/ . Make your own animated videos and animated presentations for free. PowToon is a free tool that allows you to develop cool animated clips and animated presentations for your website, office meeting, sales pitch, nonprofit fundraiser, product launch, video resume, or anything else you could use an animated explainer video. PowToon's animation templates help you create animated presentations and animated explainer videos from scratch. Anyone can produce awesome animations quickly with PowToon, without the cost or hassle other professional animation services require.
The above YouTube video sample is from the video program "Active Parenting Now," available from Active Parenting Publishers (www.activeparenting.com/APN_main). In this scene from the program "Active Parenting Now," a mother uses a combination of natural and logical consequences to help her son get himself up on time every morning. Within the example, her son is presented with an alarm clock and is responsible for getting himself up and out of bed every morning. If he fails to do so, then consequences ensue. For more information on this evidence-based parenting program, go to www.activeparenting.com/APN. To learn how to be a better parent, and to learn more about continuing your parenting education, visit our website, www.ActiveParenting.com. Parents: to find a parenting class in your h...
This video shares the importance of encouraging natural and logical consequences to children's behavior as it teaches them responsibility and respect. Yelling and corporal punishment stop behavior for the time being but rarely guides the child as to what to do differently. Having a consequence that relates to the behavior is far better for self-esteem and independence purposes.
How do parents decide on a consequence? Should consequences be natural (what happens as a result) or logical (imposed by a parent)? Learn the difference and how to apply logical consequences.
This video demonstrates using a calm, matter-of-fact tone of voice when applying logical consequences to children's inappropriate behavior. For more information see thepositiveclassroom.org
Recorded on September 14, 2010 using a Flip Video camcorder.
We have recently proposed Recognizing Textual Entailment (RTE) as a generic task that captures major semantic inferences across different natural language processing applications. The talk will first review the motivation and definition of the textual entailment task and the PASCAL RTE-1,2&3 Challenges benchmarks. Then we will demonstrate directions for building textual entailment systems, based on knowledge acquisition and inference, and for utilizing them within concrete applications. Furthermore, we suggest that textual entailment modeling may become a comprehensive framework for applied semantics research. Such framework introduces useful variants of known semantic problems and highlights important tasks which were hardly investigated so far at an applied computational level. The seman...
The design of models that learn textual entailment recognizers from annotated examples is not simple as it requires the modeling of semantics involved in the interaction of pairs of text fragments. In this talk, we firstly introduce the class of pair feature spaces which allow supervised machine learning algorithms to derive first-order rewrite rules from annotated examples. In particular, we propose the syntactic and the shallow semantic pair feature spaces.
Talk given as part of QPL2016: http://qpl2016.cis.strath.ac.uk/ Abstract: The categorical compositional distributional model of natural language provides a conceptually motivated procedure to compute the meaning of sentences, given grammatical structure and the meanings of words. However, until recently it has lacked the crucial feature of lexical entailment. We propose a graded measure of entailment, exploiting ideas from partial knowledge in quantum computation. Our main theorem shows that entailment strength lifts compositionally to the sentence level, giving a lower bound on sentence entailment. We describe the essential properties of graded entailment such as continuity, and provide a procedure for calculating entailment strength. This is an abstract of the paper Graded Entailment f...
An overview of two types of entailment, what a proof is, and what the deductive apparatus is for the language of propositional lgoic.
An informal introduction to entailment in natural language.
A short description of presupposition and entailment-- Created using PowToon -- Free sign up at http://www.powtoon.com/youtube/ -- Create animated videos and animated presentations for free. PowToon is a free tool that allows you to develop cool animated clips and animated presentations for your website, office meeting, sales pitch, nonprofit fundraiser, product launch, video resume, or anything else you could use an animated explainer video. PowToon's animation templates help you create animated presentations and animated explainer videos from scratch. Anyone can produce awesome animations quickly with PowToon, without the cost or hassle other professional animation services require.
Small intro to logical agents and convoluted explanation of entailment.
Peter Turney: October 6, 2014 Experiments with Three Approaches to Recognizing Lexical Entailment Inference in natural language often involves recognizing lexical entailment (RLE); that is, identifying whether one word entails another. For example, "buy" entails "own". Two general strategies for RLE have been proposed: One strategy is to manually construct an asymmetric similarity measure for context vectors (directional similarity) and another is to treat RLE as a problem of learning to recognize semantic relations using supervised machine learning techniques (relation classification). In this paper, we experiment with two recent state-of-the-art representatives of the two general strategies. The first approach is an asymmetric similarity measure (an instance of the directional similari...
Distinguished Lecture Series November 4, 2014 Raymond Mooney: "Deep Natural Language Semantics by Combining Logical and Distributional Methods using Probabilistic Logic" Traditional logical approaches to semantics and newer distributional or vector space approaches have complementary strengths and weaknesses.We have developed methods that integrate logical and distributional models by using a CCG-based parser to produce a detailed logical form for each sentence, and combining the result with soft inference rules derived from distributional semantics that connect the meanings of their component words and phrases. For recognizing textual entailment (RTE) we use Markov Logic Networks (MLNs) to combine these representations, and for Semantic Textual Similarity (STS) we use Probabilistic Sof...
This introductory E-Lecture about sentence semantics introduces the main principles and the central mechanisms involved in propositional and predicate logic. Additionally, it shows how entailment relations can be defined and applied and how the principles of quantification can be combined with predicates.
A discussion of the truth table for material implication, the paradox of material implication, and the paradox of entailment
A video explaining what truthmakers and truthbearers (sentences propositions, beliefs etc.) are, but also explicating several problems and objections to various theories of truthmakers and truthbearers. Including the Virtue theory of truthmakers, the entailment theory of truthmakers, the axiomatic theory of truthmakers, the grounding theory of truthmakers and more! Also included here is a description of several positions regarding truthbearers including Maximalism and Optimalism. This is a long video, so here's a guide: 00:00 Introduction 01:17 Truthbearer Basics 04:15 Truthmaker Theories 04:41 Virtue Theory 05:25 Entailment Theory 11:41 Necessitation Theory 14:09 Projection Theory 16:03 Essentialism Theory 17:46 Axiomatic Theory ...
Katrin Erk: Representing Meaning with a Combination of Logical and Distributional Models Abstract: As the field of Natural Language Processing develops, more ambitious semantic tasks are being addressed, such as Question Answering (QA) and Recognizing Textual Entailment (RTE). Solving these tasks requires (ideally) an in-depth representation of sentence structure as well as expressive and flexible representations at the word level. We have been exploring a combination of logical form with distributional as well as resource-based information at the word level, using Markov Logic Networks (MLNs) to perform probabilistic inference over the resulting representations. In this talk, I will focus on the three main components of a system we have developed for the task of Textual Entailment: (1...