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GENERAL INDEX.

ABRAHAM, his faith, ii. 285.

Accident, logical, i. 43.

Addison, his opinion of Scripture style, ii. 218.

Aldrich cited, i. 342.

Algebra, i. 111. See Mathematics, Arithmetic, Geometry.
Analogic style of Scripture, i. 66.

Analogy, its connexion with induction, i. 138, 140; its application
to theology, ii. 9, 14, 33; analogic style, 142-155; analogic
terms sacred, 229.

Analogy founded on similitude, i. 53; account of, 52-62; scarcely
noticed by Aristotle, 55, 323; Newton's use of, 163, 168; a
branch of probable truth, 54; its great importance, 55; the me-
dium of theologic truth, 22.

Analogy, importance of, in theology, ii. 23, 31; the basis of theologic
Truth, 28, 29.

Analytic Method, i. 129; analytics of Aristotle, 326, 327.

Ancients and moderns, how they differ in their use of propositions,
i. 119. See Introduction.

Apology of the author, see Appendix, vol. i.

Aquinas cited, i. 6 note.

Aristotelian logic, see Appendix, vol. i.

Aristotle, his definition of wisdom, i. 1, 2; divisions of the mind, 22,
222; his account of first principles, 24, 66; his divisions of know-
ledge, 14; of axioms, 26; of evidence, 28; of science, 88, 89, 91,
92, 93, 216; of quantity, quality, and equality, 98, 105; of mathe-
matical reasoning, 108, 117, 314; of mixed mathematics, 145; of
poetry, 121, 284, 287, 292, 304, 306; his critical rules too con-
fined, 300; patron of the essential difference in morals, 249; on
syllogism, 48, 49, 51, 314, 318; his Organon, 331; ethical error,
341, 348; obscured by Arabian and scholastic commentators, 333;
cited ii. 187.

Aristotle reduces all mathematical reasoning to syllogisms of the first
figure, i. 106 note; error in setting up syllogism as a universal
test, 112 note; his account of demonstrative truth, 117; his phy-
sical errors, 133; ethical error, 348; ii. 56.
Arithmetic, or quantity discrete, i. 90, 94, 95, 110.
matics.

Art, its definition, i. 277.

See Mathe-

Arts, imitative of natural operations, i. 271.
Astronomy, discoveries in, not aided by logic, i. 149.
Athenian schools, their aversion to induction, i. 133.

Aulus Gellius cited, i. 246.

Axioms, account of, i. 28; the primary principles of truth, 33, 213;
general, 35, 41; described, 207; ethical, 237; Bacon and Aris-
totle's account of, 37; Locke's, 36, 37; self-evident but not intui-
tive, 102.
See Principles.

Bacon, his partition of learning, i. 18, 22; patron of induction, 35,
38; opposed to syllogism, 45, 48, 51; opposed to the scholastics,
59, and their logic, 61, 139, 141, 147, 239; ii. 116, 119, 265;
account of mixed mathematics, i. 151, 244; of poetry and history,
288, 299, 300; division of morals, 244, 266; opposed to Aristotle,
354; account of theologic principles, ii. 37—39 ;of mysteries, 45, 46;
of Divine testimony, 43; limits of philosophy and theology, 124;
rule for scriptural interpretation, 212; union of reason and revela-
tion, 152; rules of scriptural translation, 176-179; theologic
truth, 295; address to the Universities, i. 365.

Bacon, how far his inductive method is applicable to theology, ii.
123-125; opposed to scholastic subtleties, 119; rules for scrip-
tural translation, 214.

Beattie cited, i. 27, 28; school logic, ii. 5, 6.

Belief, i. 218. See Testimony.

Benzelius commended, ii. 253.

Berkeley, i. 158.

Beza commended, ii. 216-219, 250; mistranslation of, 253.
Bible. See Scriptures.

Boerhaave cited, i. 124.

Boscovich, i. 160.

Browne's (Bishop) Divine analogy cited, 6, 54, 56; ii. 143; his pro-
cedure of the understanding recommended, 154 note.

Buddæus cited, i. 19 note.

Burke cited, ii. 188, 221.

Butler's Analogy, i. 52, 234; recommended, ii. 125, 134 note, 271,

276.

Caiaphas, his prophecy, ii. 244.

Campbell cited, ii. 210, 214, 220, 221, 222, 223; corrected, 248,

249.

Capellus commended, ii. 199.

Casaubon, ii. 314.

Castalio, his character as a translator, ii. 219; his rule of translation
commended, 238; mistranslation of, 253.

Categories, account of, i. 40, 119, 317, 329, 336; their defects, 335.
Chillingworth, his character, i. 356.

Cicero cited, i. 2, 19, 242, 243.

Conscience, the principle of ethics, i. 228, 229. See Moral Sense.
Consciousness, the instrument of mental philosophy, i. 16. See
Mind, Metaphysics, &c.

Contraries, rule of, in morals imperfect, i. 348; ii. 56.

Cotes cited, i. 129, 132, 134, 143, 156, 164.

Criticism, its origin, i. 282, 298, 322; Aristotle father of, 321.

Cudworth commended, i. 20.

Daubuz commended, ii. 185.

Davison on Prophecy recommended, ii. 246, 285.

De Croy cited, i. 344.

Definition, its nature, i. 40, 59.

Deists, address to, ii. 304.

Demonstration confined to quantity, i. 111. See Locke and Mathe-

matics.

Dialectics. See Logic.

"Dictum de omni et nullo," i. 43, 108, 129.

Disciples of Christ, their character, ii. 291.

Duncan, his Logic cited, i. 50; erroneous account of mathematical
reasoning, i. 112 note.

Du Val cited, i. 17, 18, 20, 23, 89, 329, 335.

Eickhorn, his rash mode of scriptural interpretation, ii. 180.
Erasmus, ii. 250.

Ethics, their logic, i. 220; principles, 228; reasoning, 238; relations,
241; axioms, 243, 245; syllogism useless in, 244; their truth,
252; how they differ from mathematics, 254, 255. See Locke.
Evidence, i. 216-219; of Scripture; ii. 96, 97, of faith, 50; in-
ternal, 68; external, 73; prophetic, 87; typical, 94. See Theology,
&c.
Experiments, their nature and value, i. 136.

See Physics.

reasoning, 198; truth,

Facts, their logic, i. 193; principles, 195;
202; how connected with theology, ii. 77.
Faith, ground of theologic truth, ii. 40, 41; humbled by passing
through human testimony, 267; its nature, 269, 272; its design,
273; moral rather than intellectual, 277; patriarchal, 282; its
uniformity, 302.

Fathers (The Christian) indifferent interpreters of Scripture, ii.

127.

Felton, ii. 151.

Figurative style of Scripture, ii. 158.

First Philosophy, i. 16-18, 19, 94. See Metaphysics, Mind, In-
tellect, &c.

Forms, i. 35. See Axioms.

Galileo, his discoveries, i. 149.

Geddes, his rules for scriptural interpretation, ii. 209, 214, 217; cen-
sured, 239; his letter to the author, see Appendix to Memoir.
Gell, his rule of scriptural translation commended, ii. 240.

Genius, its privileges, i. 299; poetic, 301. See Poetry.

Genus, species, accident, i. 43. See Logic.

Geometry, or quantity continuous, i. 90, 94, 111. See Mathematics,
Arithmetic, &c.

Gospel (The), its moral perfections, i. 266, 267, 272.

Goulston cited, i. 268.

Greek language, its theological importance, ii. 136.

Halley, i. 154.

Harris cited, i. 50, 282, 322.

Havenruterius cited, i. 10, 90, 133, 221.

Haygarth, his letter to the author, see Appendix to Memoir.
Hebrew language imperfectly understood. See Septuagint.

Hebrew poetry, i. 135. See Lowth.

History, its logic, i. 204; its principles, 206; its reasoning, 208; its
truth, 217; its value, 219; its nature, 277 note; its connexion with
theology, ii. 79.

Hooker, ii. 229.

Horrox, account of his philosophical discoveries, i. 150, 154; con-
nexion of geometry and astronomy, 173.

Horsley cited, i. 127; his account of Newton's controversy with
Leibnitz, 162, 163.

Houbigant commended, ii. 186; reproved, 238.

Huet, ii. 211, 220.

Hurd (Bishop), ii. 171, 308, 359.

Hutchinsonians, their errors in confounding theology and philosophy,

ii. 124.

Ideas, Locke's agreement of, i. 114.

Imagination, the medium of poetry, i. 275, 283; rules for its cultiva-
tion, 303; its province in theology, ii. 186, 187. See Poetry.
Imitation of nature, the object of the elegant arts, i. 305. See Poetry,
Music, &c.

Induction, its nature and value, i. 33-40, 49, 336; ground of
Bacon's logic, 40, 41, 134; differs from the example of Aristotle,
39; contrasted with syllogism, 47-49; little used by the ancients,
132, 333.

Induction not strictly applicable to theologic truth, ii. 28; under
what limitations, 121-125, note.

Inspiration, the theologic principle, ii. 20, 37, 38; belongs to words
as well as ideas, 228.

Intellect, the subject of theoretic truth, i. 21, 22, 220. See Mind.
Interpretation. See Scriptures, Translation.

Interpreter of Scriptures, his duties, ii. 132; the fathers and school-
men bad interpreters of Scripture, 127, 128.

Intuition, how it differs from self-evidence, i. 103; to what it
should be limited, 104. See Axioms.

Jebb (Bishop), ii. 137 note.

Jerome cited, ii. 46.

Jones (W.) cited, i. 53; his objections to the Newtonian theory of
gravitation, 160, 162; his own theory, 166, 169.

Kennicott commended, ii. 201.

Kepler's rules, i. 152, 154.

Langbaine cited, i. 225, 275.

Languages (learned), ii. 134. See Latin, Greek, Hebrew.
Latin tongue, its theological importance, ii. 138.

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Locke, his division of science, i. 22; mistakes about axioms, 35-
37; his simple modes, 97; errors respecting mathematical reason-
ing, 111, 251; agreement and disagreement of ideas, 114; account
of probable truth, 215; of testimony, 217; errors about conscience,
220; and ethics, 237, 255, 257; estimate of his character, 36.
Logic, its general principles, i. 41, 51; its office and objects, 23;
rational opposed to scholastic, 58; difference between the ancients
and moderns in their use of, 119; its objects and advantages, 74—
80, 134; logic and metaphysics, their analogy, one as the universal
science, and the other as the universal art, 88; no universal logic,
112; logic, the Aristotelian, its defects, 334, and Appendix, i.
321; the subject of Bacon's Organum, 300.

Lowth cited, i. 270, 271, 284, 286, 302; ii. 136, 144; judges of
scriptural poetry too much by classic standards, 160; analysis of
his Prælections, 162-164; diction of a translator, 213, 226-
236.

Maclaurin cited, i. 172.

Mathematics, their meaning and etymology, i. 50; reasoning reduci-
ble to syllogism, 50, 112–118; principles, 91; its certainty and
precision, 94, 95, 98-101; ii. 284; its language precise and pecu-
liar, i. 107; its reasoning unlimited, 110, 112; simple and mixed,
117, note; mixed mathematics, 145; mathematics and physics,
their union, 146; mathematics and physics not to be confounded,

166-174.

Maxims. See Axioms.

Metaphor distinct from analogy, ii. 141.

Metaphysics, etymology of, i. 17; basis of all science, 18, 23; their
logic, 180; principles founded on consciousness, 184; their truth,
the basis of all truth, 191; their use and importance, ii. 280; rea-
soning inductive from particulars to universals, i. 186. See First
Philosophy, 180-192.

Memory, its powers and defects, i. 209.

Metre, Lowth's opinion of, ii. 162.

Middle term, i. 47, 107.

Miracles essential to a revelation, ii. 79, 80.

See Theology.

Miracles, external evidence of, ii. 73-94. See Evidence.

Mind, truth an attribute of, i. 9, 11, 16; its divisions, 21, 220-
223; investigates principles and causes, 17; philosophy of, 18,
19; the cause of all things, 307. See Metaphysics, Intellect.
Modern and ancient different use of propositions, i. 119.
Monboddo cited, i. 312, 325, 347; ii. 280.

Montanus, ii. 215.

Moral virtue founded on the will and law of God, i. 259; its per-
fection in the Gospel, 272.

Moral sense, i. 228-230, 232, 248.

Moral truth not demonstrable, i. 253.

See Ethics.

Music, a compound of motion and sound, i. 310; terminates in
effect, 311; akin to poetry and geometry, 313; at once an art and
a science, 313.

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