Answered: Given the following hypotheses, construct an argument and draw a conclusion (if possible) using rules of inference. a. It is snowing today. If you played soccer…

Advanced Engineering Mathematics

10th Edition

ISBN: 9780470458365

Author: Erwin Kreyszig

Publisher: Wiley, John & Sons, Incorporated

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Concept explainers

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities.…

Question

Given the following hypotheses, construct an argument and draw a conclusion (if possible) using rules of inference.
a. It is snowing today. If you played soccer then it wasn’t snowing. If you played soccer then you took a shower.

What conclusion (if any) can you draw about whether or not you played soccer? What conclusion (if any) can you draw about whether or not you took a shower?

b. Everyone who drives to school has a car. Everyone drives to school or walks to school. Jose doesn’t walk to school.

What conclusion (if any) can you draw about whether or not Jose has a car?

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