Theorems in propositional logic | Rules of inference
In propositional logic, transposition is a valid rule of replacement that permits one to switch the antecedent with the consequent of a conditional statement in a logical proof if they are also both negated. It is the inference from the truth of "A implies B" to the truth of "Not-B implies not-A", and conversely. It is very closely related to the rule of inference modus tollens. It is the rule that where "" is a metalogical symbol representing "can be replaced in a proof with". (Wikipedia).
Simplify the Negation of Statements with Quantifiers and Predicates
This video provides two examples of how to determine simplified logically equivalent statements containing quantifiers and predicates. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Simplify Statements Using Logically Equivalent Statements
This video explains how to simplify given statements using logically equivalent statements. mathspower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Transcendental Functions 13 Derivatives of a Function and its Inverse.mov
The first derivative of a function and the inverse of that function.
From playlist Transcendental Functions
Introduction to Predicate Logic
This video introduces predicate logic. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
20. Speculative Parallelism & Leiserchess
MIT 6.172 Performance Engineering of Software Systems, Fall 2018 Instructor: Charles Leiserson View the complete course: https://ocw.mit.edu/6-172F18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63VIBQVWguXxZZi0566y7Wf Prof. Leiserson discusses speculative parallelis
From playlist MIT 6.172 Performance Engineering of Software Systems, Fall 2018
Inferences: Presupposition - Semantics in Linguistics
In this video on #semantics/#pragmatics in #linguistics, we talk about our last type of inference: presupposition, and do a few examples with the negation test. We also talk about presupposition triggers like definite articles, cleft sentences, factive verbs, and questions. Join this chan
From playlist Semantics in Linguistics
Pitch, Saxes, and Transpositions | Maths and Music | N J Wildberger
Tones, notes and pitches are subtly different concepts. In music theory, the crucial role of transposition motivates us to a flexible approach to the musical duo decimal system of note naming. One way that this arises is through the various different keys that band and orchestral instrumen
From playlist Maths and Music
Galois groups of random integer polynomials - Manjul Bharğava
Joint IAS/Princeton University Number Theory Seminar Topic: Galois groups of random integer polynomials Speaker: Manjul Bharğava Affiliation: Princeton University Date: April 21, 2022 Of the (2H+1)n monic integer polynomials f(x)=xn+a1xn−1+⋯+an with max{|a1|,…,|an|}≤H, how many have ass
From playlist Mathematics
Introduction to Mathematical Induction (1 of 2: Two Different kinds of Logic)
More resources available at www.misterwootube.com
From playlist Introduction to Proof by Mathematical Induction
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
Some exact formulas in the integrable particle models with multi-species by Eunghyun Lee
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Introduction to Logically Equivalent Statements
This video introduces logically equivalent statements and defines De Morgan's laws, implications are disjunctions, double negation, and negation of an implication. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
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
Jean-Claude Belfiore - Beyond the statistical perspective on deep learning,...
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Beyond the statistical perspective on deep learning, the toposic point of view: Invariance and semantic information (joint work with Daniel Bennequin) The last decade has witnes
From playlist Toposes online
Determinants II (with Permutations) | Linear Algebra MATH1141 | N J Wildberger
We connect the inductive definition of the determinant of a square n by n matrix to an alternate formulation involving a sum of products, corresponding to permutations of the set {1,2, ..., n}. A crucial but subtle feature of this formula is the role of the sign of a permutation. ********
From playlist Higher Linear Algebra
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From playlist research
Will Troiani - Proofs as permutations (Geometry of Interaction 0)
In the third of Will's talks on linear logic and proof nets, he introduces cut-elimination for multiplicative proof nets and shows how to associate permutations to a proof-net and its normal form, with the two permutations related by an interesting identity that is the starting point for G
From playlist Computation, Geometry, Logic seminar
SEM_014 - Linguistic Micro-Lectures: Negation (Logic)
What is a negation (in logic) and how can the truth-values of this unary logical connective be defined? Within less than two minutes Prof. Handke discusses and exemplifies the contribution of this logical connective to sentence meaning.
From playlist Micro-Lectures - Semantics
Abstract Algebra | Transpositions and even and odd permutations.
We define a property of elements of the symmetric group. In particular we show that the decomposition of a permutation into transpositions is invariant with respect to the parity of the number of transpositions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra