Syllogistic fallacies

Negative conclusion from affirmative premises

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).

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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

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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

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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

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The Logic of Aristotle

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

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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

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Formal Logic

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From playlist Summer of Math Exposition 2 videos

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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

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Introduction to Negative Exponents (TTP Video 72)

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From playlist To The Point Math (TTP Videos)

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From playlist Social & Political Philosophy

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12 Reasoning

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From playlist PSY 422 Memory and Cognition with Dr. B

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Fallacies in Arguing for God? | Episode 1610 | Closer To Truth

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From playlist Big Questions About God - Closer To Truth - Core Topic

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Simplifying a rational expression raised to a negative power

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From playlist Simplify Using the Rules of Exponents

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Negative Numbers - Core N2a

A look at why negative numbers multiply and divide to get positive products or quotients.

From playlist Core Standards - 7th Grade Math

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From playlist Big Questions About God - Closer To Truth - Core Topic

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THINK 24: Evil

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Applying the reciprocal rule with negative exponents to simplify an expression

πŸ‘‰ 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

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Using the reciprocal of a fraction to rewrite an expression with a positive power

πŸ‘‰ 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

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A Defense of Classical Theology (Part 6): The Argument from Change

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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)

Related pages

Logical consequence | Equivalence relation | Fallacy of exclusive premises | Affirmative conclusion from a negative premise | Validity (logic)