Explanation Definition: For a letter game with three undefined terms, the letters M , I and U and one definition which defines x as any string of I ’s and U ’s, the four axioms defined are: 1. Addition rule – For a string of letters ending in I , letter U may be added at the end. 2. Doubling rule – If there is Mx , then x may be added to get Mxx . 3. Substitution rule – If there are three I ’s ( III ), then this string can be replaced by U . 4 . Deletion rule – If UU occurs, it is dropped. Proof: Consider the given string of letters MI . It has to be proved that it is equivalent to MIUIU . Use doubling rule and add a I at the end of MI. M I → M I I Again use doubling rule and add a I at the end of MI. M I I → M I I I Again use doubling rule and add a I at the end of MIII

Bundle: Nature Of Mathematics, Loose-leaf Version, 13th + Webassign Printed Access Card For Smith's Nature Of Mathematics, 13th Edition, Single-term

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ISBN: 9781337605076

Author: karl J. smith

Publisher: Cengage Learning

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Chapter 3.5, Problem 11PS

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To prove:

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

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Chapter 3.5, Problem 10PS

Chapter 3.5, Problem 12PS

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The table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010. State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands) Massachusetts 350 35,271 $12,644 New York 1,354 56,322 $85,558 Vermont 69 758 $10,969 Select the three true statements based on the data in the table. A. Vermont had the highest revenue per acre of state parks and recreational areas. B. Vermont had approximately 11 visitors per acre of state parks and recreational areas. C. New York had the highest number of visitors per acre of state parks and recreational areas. D. Massachusetts had approximately 36 visitors per acre of state parks and recreational areas. E. New York had revenue of approximately $63.19 per acre of state parks and recreational areas. F. Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.

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Chapter 3 Solutions

Bundle: Nature Of Mathematics, Loose-leaf Version, 13th + Webassign Printed Access Card For Smith's Nature Of Mathematics, 13th Edition, Single-term

Ch. 3.1 - Prob. 1PS Ch. 3.1 - IN YOUR OWN WORDS What do we mean by conjunction?...Ch. 3.1 - Prob. 3PS Ch. 3.1 - Prob. 4PS Ch. 3.1 - Prob. 5PS Ch. 3.1 - Prob. 6PS Ch. 3.1 - Prob. 7PS Ch. 3.1 - According to the definition, which of the examples...Ch. 3.1 - Prob. 9PS Ch. 3.1 - Prob. 10PS

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

Solution Summary: The author explains the sequence of steps to prove the theorem that if given MI, it is equivalent to MIUIU in the letter game with three undefined terms of letters M, I and U.

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To prove:

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

Want to see the full answer?

Chapter 3 Solutions

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

Solution Summary: The author explains the sequence of steps to prove the theorem that if given MI, it is equivalent to MIUIU in the letter game with three undefined terms of letters M, I and U.

Videos

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

Want to see the full answer?

Chapter 3 Solutions

To prove:

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