Deductive Reasoning. Process through which premises provide conclusive proof for the conclusion.

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Presentation transcript:

Deductive Reasoning

Process through which premises provide conclusive proof for the conclusion

Premise A proposition supporting or helping to support a conclusion.

Deductive Syllogism Socrates was a man All men are mortal Conclusion: Socrates was mortal

Deductive Syllogism Premise 1: Non-renewable resources do not exist in infinite supply. Premise 2: Coal is a non-renewable resource. Conclusion: Coal does not exist in infinite supply.

Deductive Syllogism Premise 1: Today, I left for school at 7:00 and I arrived on time. Premise 2: Yesterday, I left for school at 7:00 and I arrived on time. Conclusion: Therefore, every day that I leave the house at 7:00, I will arrive to school on time.

Deductive Syllogism Premise 1: 95% of the students at Willowridge High School are accepted into a university. Premise 2: Erin is a student at Willowridge High School. Conclusion: Therefore, Erin might be accepted into a university.

Deductive Syllogism Is the following syllogism valid or invalid? Why or why not? All schools in bad shape need to be renovated. Premise 1: All schools in bad shape need to be renovated. Premise 2: Willowridge is a school. Conclusion: Therefore, Willowridge may need renovation.

Convert to Syllogism 1.Wealthy athletes who use their resources to help others deserve our particular appreciation. 2.The mayor opposed pollution controls when he was president of a manufacturing company, so he may not support new controls or vigorously enforce existing ones. 3.Information on corporate Web sites is unreliable because the sites are sponsored by for-profit entities. 4.Schroeder is a good artist because she trained at Parsons, like many other good artists. 5.Jimson is clearly a sexist because she has hired only one woman.