College Math

College Math Study Guide

It should be noted that when all premises are true, then the conclusion will also be true, and it is said that the logical argument is valid. It is also possible to solve the logical arguments using Venn diagrams in order to understand them better. Let us make the Venn diagrams for the above two examples: Example 1: Premise 1: All roses are red. Premise 2: I have one rose. Conclusion: Therefore, my rose is red. The biggest circle represents all flowers. The gray circle represents that out of all the flowers, there are some red roses and the dot shows that I have one rose. In this case, all the arguments are valid. Similarly, let us draw the Venn diagram for the second example. Example 2: Premise 1: All rabbits eat carrots. Premise 2: I have a pet rabbit. Conclusion: Therefore, my rabbit eat carrots.

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