Mathematical logic | Rules of inference | Modal logic

Free choice inference

Free choice is a phenomenon in natural language where a linguistic disjunction appears to receive a logical conjunctive interpretation when it interacts with a modal operator. For example, the following English sentences can be interpreted to mean that the addressee can watch a movie AND that they can also play video games, depending on their preference: 1. * You can watch a movie OR play video games. 2. * You can watch a movie OR you can play video games. Free choice inferences are a major topic of research in formal semantics and philosophical logic because they are not valid in classical systems of modal logic. If they were valid, then the semantics of natural language would validate the Free Choice Principle. 1. * Free Choice Principle: This symbolic logic formula above is not valid in classical modal logic: Adding this principle as an axiom to standard modal logics would allow one to conclude from , for any and . This observation is known as the Paradox of Free Choice. To resolve this paradox, some researchers have proposed analyses of free choice within nonclassical frameworks such as dynamic semantics, linear logic, alternative semantics, and inquisitive semantics. Others have proposed ways of deriving free choice inferences as scalar implicatures which arise on the basis of classical lexical entries for disjunction and modality. Free choice inferences are most widely studied for deontic modals, but also arise with other flavors of modality as well as imperatives, conditionals, and other kinds of operators. Indefinite noun phrases give rise to a similar inference which is also referred to as "free choice" though researchers disagree as to whether it forms a natural class with disjunctive free choice. (Wikipedia).

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Causal Inference Introduction

Causal Inference is a set of tools used to scientifically prove cause and effect, very commonly used in economics and medicine. This series will go over the basics that any data scientist should understand about causal inference - and point them to the tools they would need to perform it.

From playlist Causal Inference - The Science of Cause and Effect

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Decision Trees are more powerful than you think

Let's talk about how decision trees can be used for modeling and causal inference! Follow me on M E D I U M: https://towardsdatascience.com/likelihood-probability-and-the-math-you-should-know-9bf66db5241b Joins us on D I S C O R D: https://discord.gg/3C6fKZ3E5m Please like and S U B S C R

From playlist Causal Inference

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(ML 7.1) Bayesian inference - A simple example

Illustration of the main idea of Bayesian inference, in the simple case of a univariate Gaussian with a Gaussian prior on the mean (and known variances).

From playlist Machine Learning

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In this video, I introduce the most important assumptions in casual inference that we use in order to avoid mistakes such as presuming association and causation to be one and the same, among others: - Positivity - SUTVA - Large Sample Size - Double Blinded - No Measurement Error - Exchan

From playlist Causal Inference - The Science of Cause and Effect

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2 Sample t Test v Paired t Test

Identifying the difference between situations when a 2-sample t Test is appropriate and when a paired t Test is appropriate, including the recognition of paired dependent data versus independent samples.

From playlist Unit 9: t Inference and 2-Sample Inference

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Statistical Inference for Causal Inference - Causal Inference

In this video I explain the concept of statistical inference for causal inference through a realistic group ideal experiment example. Enjoy! Here's the link to my previous Statistical Inference Introduction video if you haven't watched it yet: https://youtu.be/fEGc8ZqveXM

From playlist Causal Inference - The Science of Cause and Effect

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Group Ideal Experiment - Causal Inference

In this video, I explain the concept of a group ideal experiment wherein I introduce some more causal inference terminology! I also go over the fundamental problem of causal inference and the problem of statistical inference. Enjoy!

From playlist Causal Inference - The Science of Cause and Effect

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Free Will - General Philosophy (Peter Millican)

In this lecture on General Philosophy, Professor Peter Millican discusses free will and the problem of moral responsibility. This comes from a 2010 series on General Philosophy. The slides have been added. This series of lectures was delivered by Peter Millican to first-year philosophy st

From playlist Free Will, Determinism, & Action

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Predicting and Understanding Human Choices using PCMC-Net with an application to Airline Itineraries

Speaker(s): Alix Lheritier Facilitator(s): Omar Nada Find the recording, slides, and more info at https://ai.science/e/predicting-and-understanding-human-choices-using-pcmc-net-with-an-application-to-airline-itineraries--T7VHeDI6OAv0cXM7HWYT Motivation / Abstract The work focuses on pred

From playlist Recommender Systems

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Type Systems I - Vladimir Voevodsky

Vladimir Voevodsky Institute for Advanced Study November 28, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Kaggle Reading Group: Dissecting contextual word embeddings (Part 2) | Kaggle

Join Kaggle Data Scientist Rachael as she reads through an NLP paper! Today's paper is "Dissecting contextual word embeddings: Architecture and representation" (Peters et al, 2018). You can find a copy here: https://aclweb.org/anthology/D18-1179 SUBSCRIBE: https://www.youtube.com/c/kaggle?

From playlist Kaggle Reading Group | Kaggle

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Ideal Experiment - Causal Inference

In this video, I give you more details about the fundamental question and the fundamental problem of causal inference with the help of an example (our ideal experiment).

From playlist Causal Inference - The Science of Cause and Effect

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Examples of Selection Bias - Causal Inference

Today I talk about several distinct examples of selection bias.

From playlist Causal Inference - The Science of Cause and Effect

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Bayesian optimisation for likelihood-free cosmological (...) - Leclercq - Workshop 2 - CEB T3 2018

Leclercq (Imperial College) / 22.10.2018 Bayesian optimisation for likelihood-free cosmological inference ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter

From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology

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Stanford CS330: Deep Multi-task and Meta Learning | 2020 | Lecture 13: A Graphical Model Perspective

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai A Graphical Model Perspective on Multi-Task and Meta-RL To follow along with the course, visit: https://cs330.stanford.edu/ To view all online courses and pro

From playlist Stanford CS330: Deep Multi-task and Meta Learning | Autumn 2020

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Type Systems II- Vladimir Voevodsky

Vladimir Voevodsky Professor, Institute for Advanced Study December 5, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Python has a vast ecosystem of tools for scientific computing and data science. However, when data size or computational complexity grows, users may encounter performance challenges. This talk will cover the current landscape of parallel processing tools in Python, with a focus on which to

From playlist Python

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RULES of INFERENCE - DISCRETE MATHEMATICS

We talk about rules of inference and what makes a valid argument. We discuss modus ponens, modus tollens, hypothetical syllogism, disjunctive syllogism, addition, simplification, and conjunction. #DiscreteMath #Mathematics #Logic #RulesOfInference LIKE AND SHARE THE VIDEO IF IT HELPED!

From playlist Discrete Math 1

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Dr Natalia Bochkina, Edinburgh University

Natalia Bochkina joined the University of Edinburgh as a Lecturer in Statistics in 2007. In 2003-2007 she was a postdoc at the Biostatistics group at the Imperial College London working on the collaborative project building a biological atlas of insulin resistance. In 2002-2003 she was a s

From playlist Short Talks

Related pages

Simplification of disjunctive antecedents | Alternative semantics | Deontic modality | Deontic logic | Modal logic | Conditional sentence | Linear logic | Sluicing | Inquisitive semantics | Logical conjunction | Scalar implicature | Classical logic | Validity (logic) | Dynamic semantics