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Question

In reasoning when the premises are true, _______ cannot be false.

The correct answer is
Conclusion

Deductive Reasoning and Conclusion Certainty

In deductive reasoning, the structure of the argument is key. When an argument is structured correctly (valid) and its starting points (premises) are true, the final statement derived from them (the conclusion) must also be true.

The Role of Premises and Conclusion

  • Premises: These are the statements assumed to be true at the start of the reasoning process.
  • Conclusion: This is the statement that logically follows from the premises.

Reasoning Validity Explained

A core principle in logic is that for a deductive argument:

  • If the premises are true, AND
  • If the argument form is valid,
  • Then the conclusion cannot possibly be false.

Therefore, when the premises are true, the conclusion is the part of the reasoning process that is guaranteed to be true.

Why Other Options Are Incorrect

  • Argument: An argument includes both premises and the conclusion. While a valid argument with true premises leads to a true conclusion, the argument itself isn't the single element that *cannot* be false; it's the conclusion derived within it.
  • Thoughts: Thoughts are subjective and mental processes; they don't have the same logical necessity tied to true premises as a conclusion does.
  • Propositions: Propositions are statements that can be true or false. While premises and conclusions are propositions, the specific element guaranteed true *because* of true premises in a valid argument is the conclusion.
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Important Questions from Reasoning

  1. Some even numbers such as 6, 8, 24, 28, 32 and 46 are given. If you ask your students to sum any two even numbers given, then in each case they will get an even number. Therefore, by studying the various uses of this type, we can conclude that the sum of any two even numbers is always even. What kind of logic do we observe from the above statement?

    I. Inductive reasoning

    II. Deductive Reasoning

  2. Match the following approaches of moral reasoning with their propounders:

    Moral ReasoningProponder(s)
    (a)Consequentialism Approach(i)Thomas Hobbes, Ayow Rand
    (b)Deontological Approach(ii)Aristotle
    (c)Natural law theory(iii)Ronald F. White
    (d)Theological Approach(iv)W.D. Ross, John Rawls
    Choose the correct option from the following:
  3. Four words have been given, out of which three are alike in some manner and one is different. Select the one that is different.

  4. Find the wrong number in the given series.

    4, 8, 16, 24, 40, 62, 104, 168, 296

  5. Ramesh went 15 m to the east, then he turned left and after \(5\sqrt 3 \) m turned 120° right and went \(10\sqrt 3 \) m and then turned 120° right and went \(20\sqrt 3 \) m. How far was Ramesh from the starting point ?

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