Chapter Xxiv. _of the Remaining Laws of Nature._

§ 1. Propositions which assert mere existence 139

2. Resemblance, considered as a subject of science 141

3. The axioms and theorems of mathematics comprise the principal laws of resemblance 143

4. --and those of order in place, and rest on induction by simple enumeration 145

5. The propositions of arithmetic affirm the modes of formation of some given number 146

6. Those of algebra affirm the equivalence of different modes of formation of numbers generally 151

7. The propositions of geometry are laws of outward nature 154

8. Why geometry is almost entirely deductive 156

9. Function of mathematical truths in the other sciences, and limits of that function 158