Question

In: Math

Argument A Since all triangles have three sides, and an isosceles triangle is a triangle, it...

Argument A

Since all triangles have three sides, and an isosceles triangle is a triangle, it follows that an isosceles triangle has three sides.

Argument a is:

inductive/deductive;

valid/invalid/strong/weak;

sound/unsound/cogent/uncogent?

Argument B

There is a large crack in Philadelphia's Liberty Bell. From this, we can conclude that there was a defect in the bell's craftsmanship.

Argument B is:

inductive/deductive;

valid/invalid/strong/weak;

sound/unsound/cogent/uncogent?

Argument C

Paleontologists now agree that the Tyrannosaurus Rex was actually a peaceful, plant-eating dinosaur. Therefore, it is probably true that the Tyrannosaurus Rex was not a meat-eater.

Argument C is:

inductive/deductive;

valid/invalid/strong/weak;

sound/unsound/cogent/uncogent?

Solutions

Expert Solution

Deductive Argument:A deductive argument is one in which the premises are claimed to guarantee the conclusion or it is impossible for the conclusion to be false if the premises are true.

A valid deductive argument is one in which it is impossible for the conclusion to be false, if the premises are true.

A sound argument is valid and it's premises are actually true

Therefore argument A is Deductive, valid and sound argument

In the Argument B

It shows the possibility that premises are assumed to be true do not make the conclusion necessarily true

Hence Argument B is Deductive , invalid and unsound argument

In the Argument C

A weak inductive argument is one such that if the premises are assumed to be true , then then the conclusion is not probably true.

An inductive argument is uncongent if either or both of the following conditions hold

The argument is weak or the argument has atleast one false premises

Therefore Argument C is weak Inductive and uncongent Argument.


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