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Philosophy · all questions

Modern Symbolic logic
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How many valid ruler of quantifications

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Match the following:
List-I List-II
a. Universal quantifier 1. ∀
b. Existential quantifier 2.
c. Rule of inference 3. Modus Ponens
d. Rule of replacement 4. Tautology

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A categoricaI syllogism having major terms distributed in the conclusion but undistributed in the major premise is invalid, having the fallacy of

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Quantification helps in generating what?

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Two statements are said to be logically equivalent in which one of the following cases?

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Conditional statements holds function of 'if than' and it have this symbol

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If the truth value of any statement is mix of true and false conclusion than it is called

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If 'A' proposition is converted to A and 'E' proposition is contraposited to E, what kind of fallacy is commited according to Boole?

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Match List-I with List-II and select the correct answer:
List-I List-II
a. Fallacy committed in directing an emotional appeal 'to the people' to win their assent to a conclusion unsupported by good evidence. 1. Petitio Principli
b. The method is not always fallacious for the reference to an admitted authority in the special field of his competence may carry weight. 2. Ignoratio Elenchi
c. In establishing the truth of a proposition, one often casts about for acceptable premises from which the proposition in question can be deduced as conclusion. 3. Argumentum ad populum
d. Fallacy committed when an argument purporting to establish a particular conclusion is directed to proving a different conclusion. 4. Argumentum ad vercundiam

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Two negative proposition, cannot yield a valid conclusion. This is the fallacy of

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Two statements are said to materially equivalent if

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Which one of the following is correct symbolisation of 'p if and only if q'?

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Match the following:
List-I List-II
a. Inclusive sense 1. Weak
b. Exclusive sense 2. Strong
c. Disjunction 3. ∨
d. Negation 4. Not

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Fallacy is an error in . . . . . . . . and mistake in . . . . . . . .
1. Reasoning
2. Method
3. Judgement
4. Form

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"From any true substitution instance of a propositional function, we may validly infer the existential quantification of that propositional function." Identify the rule.

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Given below are Assertion (A) and Reason (R), consider them and select the correct answer:
Assertion (A) A categorical syllogism commits a fallacy of four terms if more than three terms are used.
Reason (R) In a standard form of categorical syllogism, there are three and only three terms occuring twice each in the same meaning.

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Symbolic logic is the method of representing . . . . . . . . expressions.

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In quantification 'x' is an . . . . . . . . which is to be replaced by . . . . . . . say 'a'.

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Which one among the following is a tautology?

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Consider the following argument (a) and argument form (b) and answer by marking the correct answer:
1. (A ⊃ B) . (C ⊃ D) ∴ A ⊃ B
2. (p ⊃ q) . (r ⊃ s) ∴ p ⊃ q

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