The original conditional and its contrapositive are logically equivalent. Example. If the bird is Red, then the bird is a Robin. AND If the bird is not.

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Presentation transcript:

The original conditional and its contrapositive are logically equivalent. Example. If the bird is Red, then the bird is a Robin. AND If the bird is not a Robin,then it is not Red.

The converse and the inverse are logically equivalent ( the meaning is the same even though the statement is different) Original conditional- If the cat will run, then the dog will chase the cat Converse -If the dog will chase the cat,then the cat will run. Inverse- the cat will NOT run then the dog will NOT chase the cat.

Deductive reasoning is the process of using logic to draw conclusions from given facts, definitions, and properties.

deductive reasoning Is the conclusion a result of inductive or deductive reasoning? 1.At Reagan High School, students must pass Geometry before they take Algebra 2.2. Emily is in Algebra 2, so she must have passed Geometry.

There is a myth that an eelskin wallet will demagnetize credit cards because the skin of the electric eels used to make the wallet holds an electric charge. However, eelskin products are not made from electric eels. Therefore, the myth cannot be true. Is this conclusion a result of inductive or deductive reasoning? The conclusion is based on logical reasoning from scientific research. It is a result of deductive reasoning.

There is a myth that the Great Wall of China is the only man-made object visible from the Moon. The Great Wall is barely visible in photographs taken from 180 miles above Earth. The Moon is about 237,000 miles from Earth. Therefore, the myth cannot be true. Is the conclusion a result of inductive or deductive reasoning? The conclusion is based on logical reasoning from scientific research. It is a result of deductive reasoning.

Since the conclusion is based on a pattern of observations, it is a result of inductive reasoning There is a myth that you can balance an egg on its end only on the spring equinox. A person was able to balance an egg on July 8, September 21, and December 19. Therefore this myth is false. Is the conclusion a result of inductive or deductive reasoning?