In the following argument, explain why the reasoning is invalid or false. a. Ruben is grandfather; Ruben is bald; Therefore, all grandfathers are bald. b. All Filipinos eat rice; Andoy is a Filipino; Therefore, Andoy eats rice.

In the following argument, explain why the reasoning is invalid or false. a. Ruben is grandfather; Ruben is bald; Therefore, all grandfathers are bald. b. All Filipinos eat rice; Andoy is a Filipino; Therefore, Andoy eats rice.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.

Question

In the following argument, explain why the reasoning is invalid or false.
a. Ruben is grandfather;
Ruben is bald;
Therefore, all grandfathers are bald.

b. All Filipinos eat rice;
Andoy is a Filipino;
Therefore, Andoy eats rice.

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