Explanation Definition: For a letter game with three undefined terms, the letters A , E and I and one definition “ x meaning string of E ’s and I ’s”, the Postulates defined are: 1. If a string of letters begins with A , then you may add x to get Ax . 2. If a string of letters ends with A , then you may add an E to get EA . 3. E A = A E 4. If a string of 3 I ’s occurs, that is III , then you may substitute E in its place. 5. If AA or EE occurs, you can drop it. Proof: Consider the given string of letters AE . It has to be proved that it is equivalent to A . Use the postulate E A = A E

Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

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Chapter 3.5, Problem 19PS

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To prove:

The theorem if given AE, then it can be equivalent to A in the letter game with three undefined terms of letters A, E and I and one definition “x meaning string of E’s and I’s”.

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To prove: The theorem if given AE , then it can be equivalent to A in the letter game with three undefined terms of letters A , E and I and one definition “ x meaning string of E ’s and I ’s”.

Solution Summary: The author explains the sequence of steps to prove the theorem that given AE, is equivalent to A in the letter game with three undefined terms of letters A, E, and I.

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To prove:

The theorem if given AE, then it can be equivalent to A in the letter game with three undefined terms of letters A, E and I and one definition “x meaning string of E’s and I’s”.

Chapter 3 Solutions

To prove: The theorem if given AE , then it can be equivalent to A in the letter game with three undefined terms of letters A , E and I and one definition “ x meaning string of E ’s and I ’s”.

Solution Summary: The author explains the sequence of steps to prove the theorem that given AE, is equivalent to A in the letter game with three undefined terms of letters A, E, and I.

Concept explainers

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To prove: The theorem if given AE, then it can be equivalent to A in the letter game with three undefined terms of letters A, E and I and one definition “x meaning string of E’s and I’s”.

Chapter 3 Solutions

To prove:

The theorem if given AE, then it can be equivalent to A in the letter game with three undefined terms of letters A, E and I and one definition “x meaning string of E’s and I’s”.