A non-monotonic logic is a formal logic whose conclusion relation is not monotonic. In other words, non-monotonic logics are devised to capture and represent defeasible inferences (cf. defeasible reasoning), i.e., a kind of inference in which reasoners draw tentative conclusions, enabling reasoners to retract their conclusion(s) based on further evidence.Most studied formal logics have a monotonic entailment relation, meaning that adding a formula to a theory never produces a pruning of its set of conclusions. Intuitively, monotonicity indicates that learning a new piece of knowledge cannot reduce the set of what is known. A monotonic logic cannot handle various reasoning tasks such as reasoning by default (conclusions may be derived only because of lack of evidence of the contrary), abductive reasoning (conclusions are only deduced as most likely explanations), some important approaches to reasoning about knowledge (the ignorance of a conclusion must be retracted when the conclusion becomes known), and similarly, belief revision (new knowledge may contradict old beliefs). (Wikipedia).
What are Non-Classical logics?
Some of the general classes of non-classical logics I touch in this videos are linear logic, relevant logic, modal logic, many-valued logics, minimal logic, paraconsistent logics and so on and so forth. Let me know if I should dive deeping into a certain scene? https://en.wikipedia.org/wi
From playlist Programming
Calculus 2: Infinite Sequences and Series (22 of 62) What is a Monotonic Sequence?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and give examples of what is a monotonic sequence. Next video in the series can be seen at: https://youtu.be/_WsCqnDNFOc
From playlist CALCULUS 2 CH 14 SERIES AND SEQUENCES
Using the monotonicity theorem to determine when a function is increasing or decreasing.
From playlist Calculus
Pre-Calculus - The vocabulary of linear functions and equations
This video will introduce you to a few of the terms that are commonly used with linear functions and equations. Pay close attention to how you can tell the difference between linear and non-linear functions. For more videos please visit http://www.mysecretmathtutor.com
From playlist Pre-Calculus
Local linearity for a multivariable function
A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.
From playlist Multivariable calculus
(PP 6.2) Multivariate Gaussian - examples and independence
Degenerate multivariate Gaussians. Some sketches of examples and non-examples of Gaussians. The components of a Gaussian are independent if and only if they are uncorrelated.
From playlist Probability Theory
Categories 6 Monoidal categories
This lecture is part of an online course on categories. We define strict monoidal categories, and then show how to relax the definition by introducing coherence conditions to define (non-strict) monoidal categories. We finish by defining symmetric monoidal categories and showing how super
From playlist Categories for the idle mathematician
Non-Linear Functions (1 of 2: Review of Parabola)
More resources available at www.misterwootube.com
From playlist Non-Linear Relationships
John McCarthy (1927-2011): Artificial Intelligence (complete) - Thinking Allowed -Jeffrey Mishlove
Great news!! Now watch every title and guest in the Thinking Allowed Collection, complete and commercial free. More than 350 programs now streaming. Visit http://thinkingallowed.vhx.tv Start today. Cancel any time. Use promo code THINKNOW for a 50% discount for your first month. http://w
From playlist AI talks
Adventures in Monotone Complexity - Mika Göös
Short talks by postdoctoral members Topic: Adventures in Monotone Complexity Speaker: Mika Göös Affiliation: Member, School of Mathematics Date: September 26, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Wicked Good Ruby 2013 - Bloom: A Language for Disorderly Distributed Programming
By Christopher Meiklejohn Traditional programming languages use a model of computation where individual instructions are executed in order. However, when building distributed systems this model fails to match the reality of how your application code is actually executed. Bloom is a langua
From playlist Wicked Good Ruby 2013
Differential Equations | Variation of Parameters for a System of DEs
We solve a nonhomogeneous system of linear differential equations using the method of variation of parameters. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Systems of Differential Equations
Luís Diogo: Monotone Lagrangians in cotangent bundles of spheres
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: Monotone Lagrangian submanifolds are an important object of study in symplectic topology. We give a Floer-theoretic classification of monotone Lagrangians
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Eugenio Orlandelli: Proof theory for quantified monotone modal logics
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: This paper provides the first proof-theoretic study of quantified non-normal modal logics. It introduces labelled sequent calculi for the first order extension, both wit
From playlist Workshop: "Proofs and Computation"
Danilo Lewanski : Orbifold Hurwitz numbers, topological recursion and ELSV-type formulae
Recording during the thematic meeting : "Pre-School on Combinatorics and Interactions" the January 13, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Combinatorics
Lower Bounds in Complexity Theory, Communication Complexity, and Sunflowers - Toniann Pitassi
Members' Seminar Topic: Lower Bounds in Complexity Theory, Communication Complexity, and Sunflowers Speaker: Toniann Pitassi Affiliation: University of Toronto; Visiting Professor, School of Mathematics Date: March 2, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Detailed Proof of the Monotone Convergence Theorem | Real Analysis
We prove a detailed version of the monotone convergence theorem. We'll prove that a monotone sequence converges if and only if it is bounded. In particular, if it is increasing and unbounded, then it diverges to positive infinity, if it is increasing and bounded, then it converges to the s
From playlist Real Analysis
Sam Coogan, Georgia Tech Probabilistic guarantees for autonomous systems For complex autonomous systems subject to stochastic dynamics, providing absolute assurances of performance may not be possible. Instead, probabilistic guarantees that assure, for example, desirable performance with
From playlist Fall 2019 Kolchin Seminar in Differential Algebra
How difficult is it to certify that a random 3SAT formula is unsatisfiable? - Toniann Pitassi
Computer Science/Discrete Mathematics Seminar II Topic: How difficult is it to certify that a random 3SAT formula is unsatisfiable? Speaker: Toniann Pitassi Affiliation: Member, School of Mathematics Date: April 06, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Unusual Properties: Nowhere Monotonic/ Discontinuous Inverse
This video is about a nowhere monotonic functions and a function with a discontinuous inverse.
From playlist Basics: Unusual Properties in Math