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True False Statement Critical Thinking essay assignment
For each of the following statements, indicate whether or not it is a necessary truth, and in each case explain briefly why your answer is correct. If you wish to show that one of the statements is not a necessary truth, use a counter-example to do this.
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- A fragile object is easily damaged.
- A person about whom something false has been said has had their reputation harmed.
- A race has only one winner
- For each of the following arguments, (i) write out the main conclusion; (ii) indicate whether the argument is cogent or not, giving brief reasons for your answer.
- a) There is more than one university in Perth, so it must be possible to study medicine here without attending The University of Western Australia.
(i)
(ii)
- b) Suppose that 57 is exactly divisible by 2 (i.e. dividing by 2 gives a whole number, without remainder, as an answer). In that case, it would be possible to obtain the number 0 by successive subtractions of 2 from 57. But if you do a series of subtractions of 2 from 57 (so that you first get 55, then 53, and so on), you end up by going directly from 1 to –1 without ever getting 0 as the result of a subtraction. Hence 57 can’t be exactly divided by 2.
(i)
(ii)
- c) Either the Russian state will succeed in its aim of establishing a firmly based democratic government, the rule of law, and a market economy, or the Communists will regain control and the whole country will once more be completely in the grip of the Moscow bureaucracy. Clearly the state will not have success in this aim, for such an achievement would require a high degree of central authority and Russia is now a medley of overlapping fiefdoms which defies the imposition of any centralized system of government, so the Communists must obviously be going to regain control and the Moscow bureaucracy will again exert unfettered power over the whole country.
(i)
(ii)
- Indicate whether the following statements are true or false by writing ‘T’ for true or ‘F’ for false in the space provided to the right of each statement.
| (a) | The move from a conditional to its contraposed form is deductively valid. | |
| (b) | A valid argument can lead to a false conclusion. | |
| (c) | A premise which has not itself been supported by argument is always unacceptable. | |
| (d) | Any argument whose premises give strong support to its conclusion is cogent. | |
| (e) | A cogent argument can have false premises. | |
| (f) | A sound argument can have unacceptable premises. | |
| (g) | Necessary truths are always acceptable premises. | |
| (h) | If a situation in which the premises of an argument are true and the conclusion false cannot be described without self-contradiction, then that argument is invalid. | |
| (i) | Contradictions can be either explicit or implicit. | |
| (j) | From a deductively valid argument with premises P and conclusion C, a necessarily true conditional, ‘If P then C’ can be inferred. |
