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DEDUCTION-NATURE OF THE SYLLOGISM-ITS USES AND AP-
BOOK II.
MATHEMATICAL SCIENCE.
CHAPTER I.
QUANTITY AND MATHEMATICAL SCIENCE DEFINED— DIFFER-
ENT KINDS OF QUANTITY-LANGUAGE OF MATHEMATICS
EXPLAINED--SUBJECTS CLASSIFIED-UNIT OF MEASURE
DEFINED- -MATHEMATICS A -Mathematics a DEDUCTIVE SCIENCE .... Page 99
Comparison of Quantities..
Axioms or Formulas for inferring Equality.
Axioms or Formulas for inferring Inequality....
CHAPTER II.
ARITHMETICSCIENCE AND ART OF NUMBERS
SECTION
75-79
79-81
81-87
87-91
91-94
94-97
97-101
101
102
PAGE
117
150
Units of Measure..
Advantages of the System of Unities....
System of Unities applied to the Four Ground Rules. 151-155
SECTION II.
Fractional Units changing by the Scale of Tens..... 155–158
Fractional Units in general.
Advantages of the System of Fractional Units..
158-161
161-163
3d. Comparison of Numbers, or Rule of Three..... 186-188
4th. Practical Part, or Applications of Arithmetic...
188
GEOMETRY DEFINED-THINGS OF WHICH IT TREATS- -COM-
PARISON AND PROPERTIES OF FIGURES-DEMONSTRATION
-PROPORTION--SUGGESTIONS FOR TEACHING
Geometry...
... Page 223
237
BOOK III,
UTILITY OF MATHEMATICS.
THE UTILITY OF MATHEMATICS CONSIDERED AS A MEANS OF
INTELLECTUAL TRAINING AND CULTURE
Page 293
THE UTILITY OF MATHEMATICS REGARDED AS A MEANS OF
ACQUIRING KNOWLEDGE-BACONIAN PHILOSOPHY
CHAPTER III.
THE UTILITY OF MATHEMATICS CONSIDERED AS FURNISHING
THOSE RULES OF ART WHICH MAKE KNOWLEDGE PRACTI-
CALLY EFFECTIVE
308
325
APPENDIX.
A COURSE OF MATHEMATICS-WHAT IT SHOULD BE......
341
ALPHABETICAL INDEX
353