Determine whether each of the following arguments is a deductive argument or an inductive argument. If the argument is a deductive argument, then evaluate the argument for its validity and soundness. If the argument is an inductive argument, then evaluate the argument for its strength and cogency.

1. A sample of two grains of sand from the beach revealed that both grains of sand were actually tiny diamonds. Therefore, it must be the case that the entire beach is made up of valuable diamond particles.
2. Since Thanksgiving is always on a Monday, it follows that the day after Thanksgiving is always a Wednesday.
3. If you double the length of the sides of a square, then you will also double the square's area. So, if you double the length of the sides of a square with an area of 25 square centimeters, then the resulting square will have an area of 50 square centimeters.

If two grains of sand have diamons, it doesn´t mean the entire beach is made of them. This argument is not strong because the conclusion is not accurate.

2. This is a deductive argument. This type of argument depends on the logic struture of it. If the premise were to be true, the conclusion would be true also.

It is not a sound argument, because thanksgiving happends every fourth thursday of november. It is an invalid argument because the premise is false, there for the concusion is false.

3. This is an invalid deductive argument. The premise is incorrect, so the conclusion that is being deduce from it is also wrong. It is not a sound argument because if you double the length of the sides of a square, the area would quatriple.

anthougo anthougo · Answer 2 · 2025-03-25T06:49:06-04:00

The determination of deductive and inductive arguments are as follows:

1. This is an inductive argument because it starts from specific premises, suggesting that if the premises are true, then the conclusion cannot be false. However, this argument is not strong and it has inaccurate conclusion.

2. This is an inductive argument as it starts from specific premises to form a general conclusion, which may be true or, as in this case, false. The argument is invalid and unsound and leads to a false conclusion.

3. This is a deductive argument because it uses the general premises to form a specific conclusion. When conclusions are reached through deductive reasoning, the conclusions cannot be incorrect, provided the premises are true.

In this case, the argument is invalid with incorrect premises and a wrong conclusion. The argument is not sound since doubling the length of the sides of a square would make the area to quadruple.

What are inductive and deductive arguments?

Inductive argument is reasoning that involves starting from specific premises to form a general conclusion, which may or not be accurate.

On the other hand, deductive argument is reasoning that involves using general premises to form a specific conclusion. Conclusions reached via deductive reasoning cannot be incorrect, provided the premises are true.

Learn more about inductive and deductive arguments at https://brainly.com/question/2192957