XV. Important Corollaries 243 XVI. Pure Ideal Time and Empirical Time 245 XVII. Relations of the Idea of Time and the Principle of Contradiction 247 XVIII. Summing up 254 XIX. A glance at the Ideas of Space, Number, and Time 257 BOOK EIGHTH. THE INFINITE. I. Transitory View of the Actual State of Philosophy 263 II. Importance and Anomaly of the Questions on the Idea of the Infinite 268 III. Have we the Idea of the Infinite? 269 IV. The Limit 272 V. Considerations on the Application of the Idea of the Infinite to continuous quantities, and to Discrete Quantities, in so far as these last are expressed in Series 274 VI. Origin of the Vagueness and Apparent Contradictions in the Application of the Idea of the Infinite 278 VII. Fundamental Explanation of the Abstract Idea of the Infinite 281 VIII. The Definition of Infinity confirmed by Application to Extension 285 IX. Conception of an Infinite Number 289 X. Conception of Infinite Extension 292 XI. Possibility of Infinite Extension 294 XII. Solution of Various Objections against the Possibility of an Infinite Extension 296 XIII. Existence of Infinite Extension 302 XIV. Possibility of an Actual Infinite Number 304 XV. Idea of Absolutely Infinite Being 311 XVI. All the Reality contained in Indeterminate Conceptions is affirmed of God 315 XVII. All that is not contradictory in Intuitive Ideas is affirmed of God 317 XVIII. Intelligence and the Absolutely Infinite Being 321 XIX. Summing up 324 BOOK NINTH. ON SUBSTANCE. I. Name and General Idea of Substance 331 II. Application of the Idea of Substance to Corporeal Objects 333 III. Definition of Corporeal Substance 338 IV. Relation of Corporeal Substance to its Accidents 340 V. Considerations on Corporeal Substance in Itself 344 VI. Substantiality of the Human Me 347 VII. Relation of the Proposition, I Think, to the Substantiality of the Me 349 VIII. Remarks on the Soul's Intuition of Itself 352 IX. Kant's Opinion of the Arguments proving the Substantiality of the Soul 355