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By Jech, T.J; Scott, D.

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Additional resources for Axiomatic Set Theory, Volume 1 (Symposium in Pure Mathematics Los Angeles July, 1967)

Example text

5) (2) h. 5 2 2' k. 7 • 2 • • Ar,, it is . 4 c. (2) (5) A B =B be evident that while will It BA 3 • a. 2. 5 f. 2 i. 2 I. V 2-4 d. 4 7 g. 2 b. 2 4 c. 4-2 e. f. 35 i. 2 1. 62 (3) (5) h. 5 3 (5) (3) 6 J- 2 6-2 k. 6 Combined Operations 4-3. \\ hen the operation of raising to a power operations discussed in Sec. 3-7, Raising to a power there. is to be done T included with the four arithmetical necessary to revise the conventions given it is now is first, unless there are instructions otherwise, then multiplication and division, and, finally, addition and subtraction.

20 - 13 c. 15 d. 13 a. 13 b. 13 a. 21 a. 34 b. 34 3) 2. = = + 2) +2 = + (8 - 2) = N +8 -2 = A - (10 + 15) = yY + + - (8 8 - 10 4. 6. 8. N = 15 50 f. 50 g. 50 + 20 h. 50 20 k. 50 - 20 50 -- (20 + (20 - 50 b. 50 c. 50 d. 50 i. J- 1. m. 50 50 50 n. 50 o. 50 p. 50 Many - + (10 - - 20 + - 10 + - 10 (20 -- 10) (20 - 10 15 a. 13 60 e. 60 f. 60 g. 60 + + - + + k. 60 5) 60 5) = N in. 60 - n. 60 - = 5 = = 5 60 j. 60 1. N - 5 = - 5) = i. N o. 60 vV 60 (12 + (12 - 8) (12 + 8) (12 - 8) 8) + 3) +3 = (7 7 = = = yY = N = A' X yY yV - 4) = A 4 = yY 9 - (13 + 17) = yY - 13 - 17 = N N N = N h.

If this number were to be used on a check, the numeral would be replaced with words and written: One thousand four hundred ninety-two. There is still another way of representing natural numbers which will now be introduced. It will be called the polynomial notation and number which representing the structure of a is is valuable for somewhat hidden by the usual notation. The words used above may each be replaced by numerals four hundred one thousand + 1,000 A where addition symbols must be inserted.