Theorems in propositional logic | Rules of inference | Classical logic
In propositional logic, modus ponens (/ˈmoʊdəs ˈpoʊnɛnz/; MP), also known as modus ponendo ponens (Latin for "method of putting by placing") or implication elimination or affirming the antecedent, is a deductive argument form and rule of inference. It can be summarized as "P implies Q. P is true. Therefore Q must also be true." Modus ponens is closely related to another valid form of argument, modus tollens. Both have apparently similar but invalid forms such as affirming the consequent, denying the antecedent, and evidence of absence. Constructive dilemma is the disjunctive version of modus ponens. Hypothetical syllogism is closely related to modus ponens and sometimes thought of as "double modus ponens." The history of modus ponens goes back to antiquity. The first to explicitly describe the argument form modus ponens was Theophrastus. It, along with modus tollens, is one of the standard patterns of inference that can be applied to derive chains of conclusions that lead to the desired goal. (Wikipedia).
Relationships Between Moduli & Arguments in Products of Complex Numbers
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From playlist Introduction to Complex Numbers
Modulus of a product is the product of moduli
How to show that for all complex numbers the modulus of a product is the product of moduli. Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
Number Theory | Primitive Roots modulo n: Definition and Examples
We give the definition of a primitive root modulo n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Primitive Roots Modulo n
Complex Numbers - Mod-Arg Form (3 of 5: Calculating the Modulus)
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From playlist Introduction to Complex Numbers
Working with Moduli and Arguments (Proof Question)
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From playlist Introduction to Complex Numbers
Prove That The Modulos Of The Product Of Complex Numbers Is The Product Of The Moduli
Prove That The Modulos Of The Product Of Complex Numbers Is The Product Of The Moduli If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com Free Homework Help : https://mathsorcererforums.com/ My FaceBook Pag
From playlist Proofs with Complex Numbers
In this video i go through the mathematical formulation of the infinite square well problem, in quantum mechanics, to arrive at the quantisation of energy. Make sure to subscribe if you're interested in undergraduate maths and physics!
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Further Graphs on the Complex Plane (2 of 3: Algebraically verifying Graphs concerning the Moduli)
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From playlist Complex Numbers
Logic 4 - Inference Rules | Stanford CS221: AI (Autumn 2021)
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021
Logic 8 - First Order Modus Ponens | Stanford CS221: Artificial Intelligence (Autumn 2021)
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021
Logic 5 - Propositional Modus Ponens | Stanford CS221: AI (Autumn 2021)
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021
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
7. Ch. 3, Sections 3.1 & 3.2. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 3, Sections 3.1 & 3.2. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.
From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy
Multiplying Roman Numerals Like the Romans Did [Math Mini]
The Roman Numeral system is particularly different from our decimal number system in this key respect: it has no place value. Rather than represent values by some power of 10 (or otherwise), roman numerals represent value additively. Each symbol stands for a certain value, and to get the c
From playlist Math Mini
Logic 10 - Recap | Stanford CS221: Artificial Intelligence (Autumn 2021)
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021
Natural Deductive Logic: RULES #1 (R, &E, &I, MP, CP) - Logic
In this video we introduce natural deductive proofs and our first set of rules of inference: Reiteration, conjunction elimination, conjunction introduction, modus ponens (conditional elimination), and conditional proof (conditional introduction). 0:00 [Proofs in Propositional Logic] 1:51
From playlist Logic in Philosophy and Mathematics
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
8b. Ch. 3, Section 3.4. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 3, Section 3.4. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.
From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy
The Absolute Value of a Complex Number
In this video we introduce the absolute value of a complex number. This is also called the modulos as the term absolute value is usually reserved for real numbers. The definition is given as well as the geometric interpretation. We then derive the formula for the modulos, give a few remark
From playlist Complex Numbers
Logical Arguments - Modus Ponens & Modus Tollens
Modus Ponens and Modus Tollens are two logical argument forms. In either case, these have two premises and a conclusion. These argument forms are called valid, which means that if you accept the hypotheses, then it is valid to conclude the conclusion. This is distinct from having a sound a
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)