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Introductory level philosophy notes include definitions, examples and explanations of various argument forms, logical fallacies, and philosophical concepts. Notes on inductive and deductive arguments, valid deductive argument forms (modus pollens, dysjunctive syllogism, dilemma, etc.), sound arguments, and various logical fallacies.
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True- in agreement with fact (Fundamentals: Truth and Validity 00:00:40) Is a property of premises and statements, not arguments (00:00:45) Valid – it is impossible for the premises to be true while the conclusion is false (Fundamentals: Deductive Argument 00:01:22). In other words, can you use reasoning based solely on the premises (and NOT what you know to be true) to reach the conclusion? If yes, then the argument is valid. A sound argument is one with true AND supportive premises (Benham 1). (Sound = True + Valid) Ex. P1: If a bowl is made of glass, then it is see-through. (true) P2: The bowl is made of glass. (true) C: Therefore, the bowl is see-through. (valid) Note: this argument follows the modus ponens “if, then” format. P1 = premise 1, P2 = premise 2, C = claim/conclusion. Notice how P2 and the Conclusion together ultimately restate P1. The premises are both true and the argument is valid. Therefore, this argument is sound.
“an argument can be defined as providing reasons or evidence in support of a claim” (Benham 1) Evidence/reasons = Premise(s) Claim (being argued) = Conclusion Infer ential Strength – how well the evidence supports the claim (Benham 1). Pay attention to the root word, Infer. Could you infer or use reasoning (based solely on the premises) to reach the conclusion? If yes, then the argument has inferential strength.
“A deductive ly valid argument is one in which the premises, if true, guarantee the conclusion to be true.” (Benham 1). If the premises don't guarantee the conclusion to be true, then the argument is invalid (Benham 1). “A strong inductive argument is one whose premises, if true, make it reasonable to accept the conclusion.” (Benham 1). The amount of evidence increases the probability that the conclusion is true but does not guarantee it. The structure of a deductive argument gives it inferential strength. The amount of evidence gives inductive arguments inferential strength. Some valid deductive argument forms: (all info from Benham 2) Modus Ponens: If P, then Q. P. Therefore, Q. Modus Tollens: If P, then Q. Not Q. Therefore, Not P. Disjunctive Syllogism: Either P or Q. Not P. Therefore Q. Dilemma: Either P or Q. If P, then R. If Q, then S. Therefore, Either R or S Note: invalid forms/formal fallacies include affirming the consequent and denying the antecedent. Never deny the first statement in P1 and never use the consequential variable in P1 For P2. Reductio arguments are assumption based. Inductive generalization arguments are statistic/sample based. Making a prediction based on previous instances. Abductive argument - “an abductive argument never guarantees its conclusion, rather it offers the ‘best’ explanation for the event or facts in question.” (Benham 4) Argument by analogy - “a claim that two things are alike in many respects and, therefore, they are probably alike in a further respect.” (Benham 4)
Ad hominem – when an opposing speaker makes personal attacks instead of addressing the argument. Hasty Generalization – making a broad claim based on one instance or a small data sample. Red Herring – making a large insignificant claim to distract from the argument. Slippery Slope – claiming that one action or decision will lead to a series of unfavorable events. Loaded question – asking a question that contains an assumption (The Paint Explainer 00:01:08). Stawman – Manipulating an opposing argument, then attacking that version of the argument.
Works Cited Benham, Bryan. ‘A Little Bit of Logic’, 2001, p.1-6. Wireless Philosophy, “CRITICAL THINKING – Fundamentals: Deductive Arguments”, YouTube, 12 Dec 2014, https://www.youtube.com/watch? v=3jvQrpVQaYM&list=PLtKNX4SfKpzX_bhh4LOEWEGy3pkLmFDmk&index=3. Wireless Philosophy, “CRITICAL THINKING – Fundamentals: Truth and validity”, YouTube, 5 Dec 2014, https://www.youtube.com/watch? v=pCGnyaa5E5g&list=PLtKNX4SfKpzX_bhh4LOEWEGy3pkLmFDmk&index= The Paint Explainer, “Every Logical Fallacy Explained in 11 Minutes”, YouTube, 24 Dec 2023, https://www.youtube.com/watch?v=pCg-SNOteQQ.