Negative conclusion from affirmative premises is a syllogistic fallacy committed when a categorical syllogism has a negative conclusion yet both premises are affirmative. The inability of affirmative premises to reach a negative conclusion is usually cited as one of the basic rules of constructing a valid categorical syllogism. Statements in syllogisms can be identified as the following forms: * a: All A is B. (affirmative) * e: No A is B. (negative) * i: Some A is B. (affirmative) * o: Some A is not B. (negative) The rule states that a syllogism in which both premises are of form a or i (affirmative) cannot reach a conclusion of form e or o (negative). Exactly one of the premises must be negative to construct a valid syllogism with a negative conclusion. (A syllogism with two negative premises commits the related fallacy of exclusive premises.) Example (invalid aae form): Premise: All colonels are officers.Premise: All officers are soldiers.Conclusion: Therefore, no colonels are soldiers. The aao-4 form is perhaps more subtle as it follows many of the rules governing valid syllogisms, except it reaches a negative conclusion from affirmative premises. Invalid aao-4 form: All A is B.All B is C.Therefore, some C is not A. This is valid only if A is a proper subset of B and/or B is a proper subset of C. However, this argument reaches a faulty conclusion if A, B, and C are equivalent. In the case that A = B = C, the conclusion of the following simple aaa-1 syllogism would contradict the aao-4 argument above: All B is A.All C is B.Therefore, all C is A. (Wikipedia).
Ex: Simplifying the Opposites of Negatives Integers
This video provides several examples of simplifying opposites of negative integers. Search Complete Video Library at http://www.mathispower4u.wordpress.com
From playlist Introduction to Integers
Why Does a Negative Times a Negative Equal a Positive
This tutorial uses basic math and logic to demonstrate that a negative times a negative equals a positive. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Basic Math
Proving a Negative Times a Negative Is a Positive with the Distributive Property
When you're multiplying integers and especially when you begin multiplying negative numbers, one of the first questions that comes up for students is why does a negative times a negative equal a positive? There are lots of ways to show it, and a couple of my favorites are: + Multiplicatio
From playlist Math Mini
Gabriele Giannantoni explains the logic of Aristotle in the context of the history of logic in interview from 1990. These clips are from the Multimedia Encyclopedia of the Philosophical Sciences. The translation is my own. #Philosophy #Aristotle
From playlist Aristotle
Mod-03 Lec-10 The Samkhya Philosophy - VI
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
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
Presuppositionalism and Natural Theology: A Critical Analysis
A guest reading by Riverrun of "Presuppositionalism and Natural Theology: A Critical Analysis of the Presuppositional Challenge to Natural Theology" by Prof. David Haines. Full text: https://www.academia.edu/17323489/PRESUPPOSITIONALISM_AND_NATURAL_THEOLOGY
From playlist Philosophy
Introduction to Negative Exponents (TTP Video 72)
https://www.patreon.com/ProfessorLeonard An explanation of Negative Exponents and how to use them. Also, we discuss the first several rules for negative exponents and how they apply to monomials.
From playlist To The Point Math (TTP Videos)
Incentives, Inequality, & Community - G. A. Cohen (1991)
Gerald Cohen gives the first of two Tanner lectures. 00:00 The Talk 59:59 Q&A #Philosophy #PoliticalPhilosophy
From playlist Social & Political Philosophy
Recorded: Spring 2014 Lecturer: Dr. Erin M. Buchanan Materials: created for Memory and Cognition (PSY 422) using Smith and Kosslyn (2006) Lecture materials and assignments available at statisticsofdoom.com. https://statisticsofdoom.com/page/other-courses/
From playlist PSY 422 Memory and Cognition with Dr. B
Fallacies in Arguing for God? | Episode 1610 | Closer To Truth
When believers argue that God exists, what mistakes do they make? What are their errors in logic as well as in fact? Whoever wants to believe in God must not use arguments that do not work. Featuring interviews with Francis S. Collins, Francisco J. Ayala, Richard Swinburne, J.L. Schellenbe
From playlist Big Questions About God - Closer To Truth - Core Topic
Simplifying a rational expression raised to a negative power
π Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the p
From playlist Simplify Using the Rules of Exponents
A look at why negative numbers multiply and divide to get positive products or quotients.
From playlist Core Standards - 7th Grade Math
Arguing God with Analytic Philosophy | Episode 903 | Closer To Truth
I desire God to be real, so I know that the easiest person to fool is myself. That's why I favor rational arguments for, and against, the existence of a Supreme Creator. Featuring interview with Richard Swinburne, Philip Clayton, and Bede Rundle. Season 9, Episode 3 - #CloserToTruth βΆReg
From playlist Big Questions About God - Closer To Truth - Core Topic
What is evil? How should we respond to it? In his Thinking Matters course for freshmen, Christopher Bonobich, the Clarence Irving Lewis Professor of Philosophy, confronts questions about the nature of human beings, the appropriate aims of the good society, the function of punishment, and t
From playlist Fall 2018 Course Sampler
Applying the reciprocal rule with negative exponents to simplify an expression
π Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the p
From playlist Simplify Using the Rules of Exponents
Using the reciprocal of a fraction to rewrite an expression with a positive power
π Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the p
From playlist Simplify Using the Rules of Exponents
A Defense of Classical Theology (Part 6): The Argument from Change
In part 6, I will present an argument for the unactualized actualizer starting from the reality of change, building off of what we covered in the previous part concerning the act-potency distinction. We will then prove the divine attributes from the unactualized actualizer and then conclud
From playlist Theology
Prealgebra 3.04d - Multiplying Fractions that are Negative
The rules pertaining to multiplying negative numbers also apply to negative fractions.
From playlist Prealgebra Chapter 3 (Complete chapter)