Modal logic

Deontic logic

Deontic logic is the field of philosophical logic that is concerned with obligation, permission, and related concepts. Alternatively, a deontic logic is a formal system that attempts to capture the essential logical features of these concepts. It can be used to formalize imperative logic, or directive modality in natural languages. Typically, a deontic logic uses OA to mean it is obligatory that A (or it ought to be (the case) that A), and PA to mean it is permitted (or permissible) that A, which is defined as . Note that in natural language, the statement "You may go to the zoo OR the park" should be understood as instead of , as both options are permitted by the statement; See Hans Kamp's paradox of free choice for more details. When there are multiple agents involved in the domain of discourse, the deontic modal operator can be specified to each agent to express their individual obligations and permissions. For example, by using a subscript for agent , means that "It is an obligation for agent (to bring it about/make it happen) that ". Note that could be stated as an action by another agent; One example is "It is an obligation for Adam that Bob doesn't crash the car", which would be represented as , where B="Bob doesn't crash the car". (Wikipedia).

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Logic: The Structure of Reason

As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be

From playlist Logic & Philosophy of Mathematics

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Geometry - Ch. 2: Reasoning and Proofs (13 of 46) What is Deductive Reasoning?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is deductive reasoning. Sometime known as deductive logic or leading to a deductive conclusion. It is reasoning from one or more statements to reach a logical conclusion. And I will expla

From playlist GEOMETRY CH 2 PROOFS & REASONING

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Teach Astronomy - Deduction

http://www.teachastronomy.com/ Deduction is a way of combining observations or statements made in science logically. Deduction provides a very strong way of connecting observations with a conclusion. Typically we start with premises and combine them to draw conclusions. For example, if

From playlist 01. Fundamentals of Science and Astronomy

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Language & Social Ontology (John Searle)

A wonderful talk given by John Searle at the University of Oslo back in 2011 on language and social ontology. He attempts to explain the distinctive features of human civilization. Animals have forms of social organization and communication, but they do not have money, property, government

From playlist Social & Political Philosophy

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The Logical Structure of Human Civilization (John Searle)

The distinctive features of human civilization, as opposed to animal societies, are such things as money, property, marriage, government, etc. These are created and partly constituted by linguistic representations. For this reason, they all have logical, propositional structures. John Sear

From playlist Social & Political Philosophy

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Logic 3: Quantifiers (univ. & exist.), Proofs part 1 — Tutorial 3/4

In this four-part series we explore propositional logic, Karnaugh maps, implications and fallacies, predicate logic, existential and universal quantifiers and finally natural deduction. Become a member: https://youtube.com/Bisqwit/join My links: Twitter: https://twitter.com/RealBisqwit L

From playlist Logic Tutorial

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Kantian Deontological Ethics

In this lecture, Dr Iain Law (University of Birmingham) introduces the concept of a moral theory and thinks about what distinguishes deontological moral theories from other kinds of moral theories (e.g. virtue ethics, utilitarianism), focusing in particular on: (i) the deontological theory

From playlist Philosophy

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SYN124 - The Function of the Verb - Mood and Modality

In this final E-Lecture of the series functional aspects of the verb, Prof. Handke discusses the notions of mood and modality. He exemplifies the rudimentary mood system in PDE and discusses the three modlities, dynamic, deontic, and epistemic in detail.

From playlist VLC201 - The Structure of English

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Introduction to Deductive Reasoning

http://www.mathispower4u.yolasite.com

From playlist Introduction to Proof

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Natural Deductive Logic: RULES #2 (vI, vE, DN, RAA) - Logic

In this video on #Logic, we learn four more rules for natural deductive proofs. We learn disjunction introduction, disjunction elimination, double negation, and reductio ad absurdum (negation introductions, or proof by contradiction). Then we do two example proofs. #PropositionalLogic #Lo

From playlist Logic in Philosophy and Mathematics

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CERIAS Security: Research Challenges in Assured Information Sharing 4/5

Clip 4/5 Speaker: Vipin Swarup · MITRE Assured information sharing has been a "grand challenge" problem of information security for several decades. Currently, there is broad consensus that the state-of-practice of information sharing is inadequate. One primary problem is that people

From playlist The CERIAS Security Seminars 2007

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MASSOLIT: Utilitarianism as a Moral Theory

In this lecture, Dr Iain Law (University of Birmingham) provides an introduction to moral theories in general, before thinking in more detail about consequentialism and utilitarianism more specifically. This lecture is part of a larger course on Utilitarianism. The full course can be foun

From playlist Philosophy

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Two Exercises in Natural Deductive Logic: RULES #1 (R, &E, &I, MP, CP) - Logic

We do two more natural deductive proofs using the rules introduced in the last video. They are listed below. 0:00 [Intro] 0:31 [Question #1] 5:27 [Question #2] 9:45 [The Takeaway] Follow along in the Logic playlist: https://www.youtube.com/playlist?list=PLDDGPdw7e6AhsNuxXP3D-45Is96L8sdSG

From playlist Logic in Philosophy and Mathematics

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Lecture 10 – Grounding | Stanford CS224U: Natural Language Understanding | Spring 2019

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai Professor Christopher Potts & Consulting Assistant Professor Bill MacCartney, Stanford University http://onlinehub.stanford.edu/ Professor Christopher Potts Pr

From playlist Stanford CS224U: Natural Language Understanding | Spring 2019

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The Ultimate Guide to Propositional Logic for Discrete Mathematics

This is the ultimate guide to propositional logic in discrete mathematics. We cover propositions, truth tables, connectives, syntax, semantics, logical equivalence, translating english to logic, and even logic inferences and logical deductions. 00:00 Propositions 02:47 Connectives 05:13 W

From playlist Discrete Math 1

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SYN122 - The Function of the Verb - Tense

This first of a series of three E-Lectures deals with the function of the verb in PDE, in particular with the notion of tense. Prof. Handke explains why PDE has only two tenses, the present and the past tense, and how they are used. The discussion why PDE has no future tense concludes this

From playlist VLC201 - The Structure of English

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Natural Deductive Logic: DERIVABLE RULES (MT, HS, DS, DeM)

In this video on #Logic we do the proofs for modus tollens (MT), hypothetical syllogism (HS), disjunctive syllogism (DS) and one of the DeMorgan's Laws (DeM) so that we can use them as shortcuts in further proofs. 0:00 [Modus Tollens (MT)] 1:23 [Hypothetical Syllogism (HS)] 3:25 [Disjunct

From playlist Logic in Philosophy and Mathematics

Related pages

Georg Henrik von Wright | Ernst Mally | Normal modal logic | Free choice inference | Non-monotonic logic | Propositional calculus | Tautology (logic) | Dynamic logic (modal logic) | Gottfried Wilhelm Leibniz | Kripke semantics | Alethic modality | Modal logic | Accessibility relation | Temporal logic | Conditional probability | Paraconsistent logic | Deontic modality | Domain of discourse | Contradiction | Imperative logic