Instances multiplication of not required by reason, 31. Instinct more trustworthy than reasoning, 45; the basis of all experimental reasoning, 85; the basis of realism, 118, 121. Intuitive opp. mediate reasoning, 2. La Bruyere 4. Liberty (v. _Necessity_, 62-97). Definition of hypothetical liberty, 73. Necessary to morality, 77. Locke 4, 40 n, 50 n, 57 n. His loose use of 'ideas,' 19 n; betrayed into frivolous disputes about innate ideas by the School-men, 19 n; distinction of primary and secondary qualities, 122. Malebranche 4, 57 n.. Man a reasonable and active being, 4. Marriage rules of, based on and vary with utility, 118. Mathematics ideas of, clear and determinate, hence their superiority to moral and metaphysical sciences, 48; their difficulty, 48. Mathematical and physical points, 124 n. Matter necessity of, 64; creation of, 132 n (v. _Scepticism_ A). Matter-of-fact contrary of, always possible, 21; arguments to new, based only on cause and effect, 22. Metaphysics not a science, 5-6; how inferior and superior to mathematics, 48. Mind mental geography, 8; secret springs and principles of, 9; can only mix and compound materials given by inward and outward sentiment, 13; power of will over, 53. Miracles. 86-101. Belief in human evidence diminishes according as the event witnessed is unusual or extraordinary, 89; difference between extraordinary and miraculous, 89 n; if the evidence for a miracle amounted to proof we should have one proof opposed by another proof, for the proof against a miracle is as complete as possible; an event is not miraculous unless there is a uniform experience, that is a proof, against it, 90; definition of miracle, 90 n; hence no testimony is sufficient to establish a miracle unless its falsehood would be more miraculous than the event it establishes, 91; as a fact the evidence for a miracle has never amounted to proof, 92; the passion for the wonderful in human nature, 93; prevalence of miracles in savage and early periods and their diminution with civilization, 94; the evidence for miracles in matters of religion opposed by the almost infinite number of witnesses for rival religions, 95; value of human testimony diminished by temptation to pose as a prophet or apostle, 97; no testimony for a miracle has ever amounted to a probability, much less to a proof, and if it did amount to a proof it would be opposed by another perfect proof, 98; so a miracle can never be proved so as to be the foundation of a system of religion, 99; a conclusion which confounds those who base the Christian religion on reason, not on faith, 100; the Christian religion cannot be believed without a miracle which