By Hill C.O., Rosado Haddock G.E.

Edmund Husserl's perspectives on common sense, arithmetic, and semantics were both mostly overlooked or inaccurately rendered via different philosophers. In Husserl or Frege?, Hill and Haddock holiday new flooring in reading Husserl's rules relating to these of Georg Cantor, writer of set conception, analytic thinker Gottlob Frege, and mathematician David Hilbert. This selection of essays bargains a clean and provocative substitute to modern mainstream philosophy of arithmetic, and covers key components of war of words among Husserl, the father of phenomenology, and Frege, the founding father of analytic philosophy.

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**Example text**

The sum of the digits in the numerator is 24. The sum of the digits in the denominator is 30. Since these sums are both divisible by 3, each number is divisible by 3. Since these numbers meet the divisibility tests for 2 and 3, they are each divisible by 6. Example: 43, 672 Simplify to simplest form: 52, 832 Solution: Since both numbers are even, they are at least divisible by 2. However, to save time, we would like to divide by a larger number. The sum of the digits in the numerator is 22, so it is not divisible by 3.

A) (B) (C) (D) (E) 3 5 21 32 11 16 55 64 7 8 Solution: To compare the last four, we can easily use a common denominator of 64. 21 42 = 32 64 11 44 55 7 56 = = 16 64 64 8 64 7 7 3 7 The largest of these is . Now we compare with using Method II. 7 · 5 > 8 · 3; therefore, 8 8 5 8 is the greatest fraction. com 29 30 Chapter 2 Exercise 5 Work out each problem. Circle the letter that appears before your answer. 1. Arrange these fractions in order of size, from largest to smallest: (A) (B) (C) (D) (E) 2.

3. com 5. 2 7 of . 3 12 7 (A) 8 7 (B) 9 8 (C) 7 8 (D) 9 7 (E) 18 5 Divide 5 by . 12 25 (A) 12 1 (B) 12 5 (C) 12 Find (D) 12 (E) 12 5 Operations with Fractions 3. SIMPLIFYING FRACTIONS All fractional answers should be left in simplest form. There should be no factor that can still be divided into numerator and denominator. In simplifying fractions involving very large numbers, it is helpful to tell at a glance whether or not a given number will divide evenly into both numerator and denominator. Certain tests for divisibility assist with this.