In logic, specifically in deductive reasoning, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. It is not required for a valid argument to have premises that are actually true, but to have premises that, if they were true, would guarantee the truth of the argument's conclusion. Valid arguments must be clearly expressed by means of sentences called well-formed formulas (also called wffs or simply formulas). The validity of an argument can be tested, proved or disproved, and depends on its logical form. (Wikipedia).
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
Truth and Validity // Lesson 23 [INTRODUCTORY LOGIC]
The fact that truth and validity are different (though related) concepts is one of the most difficult ideas for logic students to grasp. A valid syllogism can contain false statements. And true statements can often be found in invalid syllogisms. But the two concepts are neither necessary
From playlist Introductory Logic
An introduction to the general types of logic statements
From playlist Geometry
Validity, reliability and accuracy explained
What doe validity, reliability and accuracy mean in experiments? Watch and find out. Support me on Patreon - https://www.patreon.com/HighSchoolPhysicsExplained Find me on facebook - www.facebook.com/HighSchoolPhysicsExplained credit Pendulum animation - PhET Interactive Simulations Unive
From playlist general
LambdaConf 2015 - Type Theory and its Meaning Explanations Jon Sterling
At the heart of intuitionistic type theory lies an intuitive semantics called the “meaning explanations." Crucially, when meaning explanations are taken as definitive for type theory, the core notion is no longer “proof” but “verification”. We’ll explore how type theories of this sort aris
From playlist LambdaConf 2015
VALIDITY and ENTAILMENT in Truth Trees for Predicate Logic - Logic
In this video on Logic, we look at entailment and validity in truth trees for predicate logic. We learn how to do negated universal decomposition, negated existential decomposition, universal elimination, and existential elimination. We then do three practice truth trees. 0:00 - [Validity
From playlist Logic in Philosophy and Mathematics
Defining and comprehending "implication" in Mathematics
I'm not a native English speaker, sorry about my pronunciation and fluency in English. If there is any kind of mistake in the video, please inform me in the comments section.
From playlist Summer of Math Exposition Youtube Videos
SImple proofs and their variations -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Inference: A Logical-Philosophical Perspective with Alexander Paseau
In this talk, Professor Alexander Paseau, Faculty of Philosophy, University of Oxford, will describe some of his work on inference within mathematics and more generally. Inferences can be usefully divided into deductive or non-deductive. Formal logic studies deductive inference, the obviou
From playlist Franke Program in Science and the Humanities
1. Ch. 1 (Part 1/3) Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Introduction, and Chapter 1, Part 1 of 3. 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
Investigation Cognition || General Psychology (PSY 101)
This is a recorded version of a livestream distance learning lecture, recorded during the coronavirus pandemic of 2020. Topics include: logical reasoning, deductive reasoning, syllogisms, belief bias effect, Calvillo et al. (2019), informal fallacies. I claim no ownership over any music
From playlist General Psychology Lectures
Mod-05 Lec-15 The Nyaya Philosophy - I
Indian Philosophy by Dr. Satya Sundar Sethy, Department of Humanities and Social Sciences, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Madras: Introduction to Indian Philosophy | CosmoLearning.org Philosophy
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)
VALID arguments, SOUND arguments, and ENTAILMENT - Logic
In this video on #Logic / #PhilosophicalLogic we look at valid arguments, sound arguments, and learn how to determine validity using truth tables. We do a few examples. 0:00 [Intro] 0:13 [Valid Arguments] 1:16 [Sound Arguments] 2:30 [Valid Arguments and Truth Tables] 06:08 [Example Questi
From playlist Logic in Philosophy and Mathematics
This video functions as a brief introduction to many different topics in formal logic. Notes on the Images: I looked into the legality of using images for this video a good deal and I've come to the conclusion that there is nothing in this video which could remotely imply these images ar
From playlist Summer of Math Exposition 2 videos
Basic Methods: We define theorems and describe how to formally construct a proof. We note further rules of inference and show how the logical equivalence of reductio ad absurdum allows proof by contradiction.
From playlist Math Major Basics