The Refutation of All Heresies.

 Book I.

 The Proœmium.—Motives for Undertaking the Refutation Exposure of the Ancient Mysteries Plan of the Work Completeness of the Refutation Value of th

 Chapter I.—Thales His Physics and Theology Founder of Greek Astronomy.

 Chapter II.—Pythagoras His Cosmogony Rules of His Sect Discoverer of Physiognomy His Philosophy of Numbers His System of the Transmigration of So

 Chapter III.—Empedocles His Twofold Cause Tenet of Transmigration.

 Chapter IV.—Heraclitus His Universal Dogmatism His Theory of Flux Other Systems.

 After these arose also other natural philosophers, whose opinions we have not deemed it necessary to declare, (inasmuch as) they present no diversity

 Chapter V.—Anaximander His Theory of the Infinite His Astronomic Opinions His Physics.

 Chapter VI.—Anaximenes His System of “An Infinite Air ” His Views of Astronomy and Natural Phenomena.

 Chapter VII.—Anaxagoras His Theory of Mind Recognises an Efficient Cause His Cosmogony and Astronomy.

 Chapter VIII.—Archelaus System Akin to that of Anaxagoras His Origin of the Earth and of Animals Other Systems.

 Natural philosophy, then, continued from Thales until Archelaus. Socrates was the hearer of this (latter philosopher). There are, however, also very m

 Chapter IX.—Parmenides His Theory of “Unity ” His Eschatology.

 Chapter X.—Leucippus His Atomic Theory.

 Chapter XI.—Democritus His Duality of Principles His Cosmogony.

 Chapter XII.—Xenophanes His Scepticism His Notions of God and Nature Believes in a Flood.

 Chapter XIII.—Ecphantus His Scepticism Tenet of Infinity.

 Chapter XIV.—Hippo His Duality of Principles His Psychology.

 So far, then, we think we have sufficiently adduced (the opinions of) these wherefore, inasmuch as we have adequately gone in review through the tene

 Chapter XV.—Socrates His Philosophy Reproduced by Plato.

 Chapter XVI.—Plato Threefold Classification of Principles His Idea of God Different Opinions Regarding His Theology and Psychology His Eschatology

 Chapter XVII.—Aristotle Duality of Principles His Categories His Psychology His Ethical Doctrines Origin of the Epithet “Peripatetic.”

 Chapter XVIII.—The Stoics Their Superiority in Logic Fatalists Their Doctrine of Conflagrations.

 Chapter XIX.—Epicurus Adopts the Democritic Atomism Denial of Divine Providence The Principle of His Ethical System.

 Chapter XX.—The Academics Difference of Opinion Among Them.

 Chapter XXI.—The Brachmans Their Mode of Life Ideas of Deity Different Sorts Of Their Ethical Notions.

 Chapter XXII.—The Druids Progenitors of Their System.

 Chapter XXIII.—Hesiod The Nine Muses The Hesiodic Cosmogony The Ancient Speculators, Materialists Derivative Character of the Heresies from Heathe

 Chapter I.—System of the Astrologers Sidereal Influence Configuration of the Stars.

 Chapter II.—Doctrines Concerning Æons The Chaldean Astrology Heresy Derivable from It.

 Chapter III.—The Horoscope the Foundation of Astrology Indiscoverability of the Horoscope Therefore the Futility of the Chaldean Art.

 Chapter IV.—Impossibility of Fixing the Horoscope Failure of an Attempt to Do This at the Period of Birth.

 Chapter V.—Another Method of Fixing the Horoscope at Birth Equally Futile Use of the Clepsydra in Astrology The Predictions of the Chaldeans Not Ve

 Chapter VI.—Zodiacal Influence Origin of Sidereal Names.

 Chapter VII.—Practical Absurdity of the Chaldaic Art Development of the Art.

 Chapter VIII.—Prodigies of the Astrologers System of the Astronomers Chaldean Doctrine of Circles Distances of the Heavenly Bodies.

 Chapter IX.—Further Astronomic Calculations.

 Chapter X.—Theory of Stellar Motion and Distance in Accordance with Harmony.

 Chapter XI.—Theory of the Size of the Heavenly Bodies in Accordance with Numerical Harmonies.

 Chapter XII.—Waste of Mental Energy in the Systems of the Astrologers.

 Chapter XIII.—Mention of the Heretic Colarbasus Alliance Between Heresy and the Pythagorean Philosophy.

 Chapter XIV.—System of the Arithmeticians Predictions Through Calculations Numerical Roots Transference of These Doctrines to Letters Examples in

 Chapter XV.—Quibbles of the Numerical Theorists The Art of the Frontispicists (Physiognomy) Connection of This Art with Astrology Type of Those Bor

 Chapter XVI.—Type of Those Born Under Taurus.

 Chapter XVII.—Type of Those Born Under Gemini.

 Chapter XVIII.—Type of Those Born Under Cancer.

 Chapter XIX.—Type of Those Born Under Leo.

 Chapter XX.—Type of Those Born Under Virgo.

 Chapter XXI.—Type of Those Born Under Libra.

 Chapter XXII.—Type of Those Born Under Scorpio.

 Chapter XXIII.—Type of Those Born Under Sagittarius.

 Chapter XXIV.—Type of Those Born Under Capricorn.

 Chapter XXV.—Type of Those Born Under Aquarius.

 Chapter XXVI.—Type of Those Born Under Pisces.

 Chapter XXVII.—Futility of This Theory of Stellar Influence.

 … And (the sorcerer), taking (a paper), directs the inquirer to write down with water whatever questions he may desire to have asked from the demons.

 Chapter XXIX.—Display of Different Eggs.

 Chapter XXX.—Self-Slaughter of Sheep.

 Chapter XXXI.—Method of Poisoning Goats.

 Chapter XXXII.—Imitations of Thunder, and Other Illusions.

 Chapter XXXIII.—The Burning Æsculapius Tricks with Fire.

 Chapter XXXIV.—The Illusion of the Sealed Letters Object in Detailing These Juggleries.

 Chapter XXXV.—The Divination by a Cauldron Illusion of Fiery Demons Specimen of a Magical Invocation.

 Chapter XXXVI.—Mode of Managing an Apparition.

 Chapter XXXVII.—Illusive Appearance of the Moon.

 Chapter XXXVIII.—Illusive Appearance of the Stars.

 Chapter XXXIX.—Imitation of an Earthquake.

 Chapter XL.—Trick with the Liver.

 Chapter XLI.—Making a Skull Speak.

 Chapter XLII.—The Fraud of the Foregoing Practices Their Connection with Heresy.

 Chapter XLIII.—Recapitulation of Theologies and Cosmogonies System of the Persians Of the Babylonians The Egyptian Notion of Deity Their Theology

 Chapter XLIV.—Egyptian Theory of Nature Their Amulets.

 Chapter XLV.—Use of the Foregoing Discussions.

 Chapter XLVI.—The Astrotheosophists Aratus Imitated by the Heresiarchs His System of the Disposition of the Stars.

 Chapter XLVII.—Opinions of the Heretics Borrowed from Aratus.

 Chapter XLVIII.—Invention of the Lyre Allegorizing the Appearance and Position of the Stars Origin of the Phœnicians The Logos Identified by Aratus

 Chapter XLIX.—Symbol of the Creature And of Spirit And of the Different Orders of Animals.

 Chapter L.—Folly of Astrology.

 Chapter LI.—The Hebdomadarii System of the Arithmeticians Pressed into the Service of Heresy Instances Of, in Simon and Valentinus The Nature of t

 Book V.

 Chapter I.—Recapitulation Characteristics of Heresy Origin of the Name Naasseni The System of the Naasseni.

 Chapter II.—Naasseni Ascribe Their System, Through Mariamne, to James the Lord’s Brother Really Traceable to the Ancient Mysteries Their Psychology

 Chapter III.—Further Exposition of the Heresy of the Naasseni Profess to Follow Homer Acknowledge a Triad of Principles Their Technical Names of th

 Chapter IV.—Further Use Made of the System of the Phrygians Mode of Celebrating the Mysteries The Mystery of the “Great Mother ” These Mysteries Hav

 Chapter V.—Explanation of the System of the Naasseni Taken from One of Their Hymns.

 Chapter VI.—The Ophites the Grand Source of Heresy.

 Chapter VII.—The System of the Peratæ Their Tritheism Explanation of the Incarnation.

 Chapter VIII.—The Peratæ Derive Their System from the Astrologers This Proved by a Statement of the Astrological Theories of the Zodiac Hence the Te

 Chapter IX.—System of the Peratæ Explained Out of One of Their Own Books.

 Chapter X.—The Peratic Heresy Nominally Different from Astrology, But Really the Same System Allegorized.

 Chapter XI.—Why They Call Themselves Peratæ Their Theory of Generation Supported by an Appeal to Antiquity Their Interpretation of the Exodus ofIsra

 Chapter XII.—Compendious Statement of the Doctrines of the Peratæ.

 Chapter XIII.—The Peratic Heresy Not Generally Known.

 Chapter XIV.—The System of the Sethians Their Triad of Infinite Principles Their Heresy Explained Their Interpretation of the Incarnation.

 Chapter XV.—The Sethians Support Their Doctrines by an Allegorical Interpretation of Scripture Their System Really Derived from Natural Philosophers

 Chapter XVI.—The Sethian Theory Concerning “Mixture” And “Composition ” Application of It to Christ Illustration from the Well of Ampa.

 Chapter XVII.—The Sethian Doctrines to Be Learned from the “Paraphrase of Seth.”

 Chapter XVIII.—The System of Justinus Antiscriptural and Essentially Pagan.

 Chapter XIX.—The Justinian Heresy Unfolded in the “Book of Baruch.”

 Chapter XX.—The Cosmogony of Justinus an Allegorical Explanation of Herodotus’ Legend of Hercules.

 Chapter XXI.—Justinus’ Triad of Principles His Angelography Founded on This Triad His Explanation of the Birth, Life, and Death of Our Lord.

 Chapter XXII.—Oath Used by the Justinian Heretics The Book of Baruch The Repertory of Their System.

 Chapter XXIII.—Subsequent Heresies Deducible from the System of Justinus.

 Book VI.

 Whatever opinions, then, were entertained by those who derived the first principles (of their doctrine) from the serpent, and in process of time delib

 Chapter II.—Simon Magus.

 Chapter III.—Story of Apsethus the Libyan.

 Chapter IV.—Simon’s Forced Interpretation of Scripture Plagiarizes from Heraclitus and Aristotle Simon’s System of Sensible and Intelligible Existen

 Chapter V.—Simon Appeals to Scripture in Support of His System.

 Chapter VI.—Simon’s System Expounded in the Work, Great Announcement Follows Empedocles.

 Chapter VII.—Simon’s System of a Threefold Emanation by Pairs.

 Chapter VIII.—Further Progression of This Threefold Emanation Co-Existence with the Double Triad of a Seventh Existence.

 Chapter IX.—Simon’s Interpretation of the Mosaic Hexaëmeron His Allegorical Representation of Paradise.

 Chapter X.—Simon’s Explanation of the First Two Books of Moses.

 Chapter XI.—Simon’s Explanation of the Three Last Books of the Pentateuch.

 Chapter XII.—Fire a Primal Principle, According to Simon.

 Chapter XIII.—His Doctrine of Emanation Further Expanded.

 Chapter XIV.—Simon Interprets His System by the Mythological Representation of Helen of Troy Gives an Account of Himself in Connection with the Troja

 Chapter XV.—Simon’s Disciples Adopt the Mysteries Simon Meets St. Peter at Rome Account of Simon’s Closing Years.

 Chapter XVI.—Heresy of Valentinus Derived from Plato and Pythagoras.

 Chapter XVII.—Origin of the Greek Philosophy.

 Chapter XVIII.—Pythagoras’ System of Numbers.

 Chapter XIX.—Pythagoras’ Duality of Substances His “Categories.”

 Chapter XX.—Pythagoras’ Cosmogony Similar to that of Empedocles.

 Chapter XXI.—Other Opinions of Pythagoras.

 Chapter XXII.—The “Sayings” Of Pythagoras.

 Chapter XXIII.—Pythagoras’ Astronomic System.

 Chapter XXIV.—Valentinus Convicted of Plagiarisms from the Platonic and Pythagoric Philosophy The Valentinian Theory of Emanation by Duads.

 Chapter XXV.—The Tenet of the Duad Made the Foundation of Valentinus’ System of the Emanation of Æons.

 Chapter XXVI.—Valentinus’ Explanation of the Existence of Christ and the Spirit.

 Chapter XXVII.—Valentinus’ Explanation of the Existence of Jesus Power of Jesus Over Humanity.

 Chapter XXVIII.—The Valentinian Origin of the Creation.

 Chapter XXIX.—The Other Valentinian Emanations in Conformity with the Pythagorean System of Numbers.

 Chapter XXX.—Valentinus’ Explanation of the Birth of Jesus Twofold Doctrine on the Nature of Jesus’ Body Opinion of the Italians, that Is, Heracleon

 Chapter XXXI.—Further Doctrines of Valentinus Respecting the Æons Reasons for the Incarnation.

 Chapter XXXII.—Valentinus Convicted of Plagiarisms from Plato.

 Chapter XXXIII.—Secundus’ System of Æons Epiphanes Ptolemæus.

 Chapter XXXIV.—System of Marcus A Mere Impostor His Wicked Devices Upon the Eucharistic Cup.

 Chapter XXXV.—Further Acts of Jugglery on the Part of Marcus.

 Chapter XXXVI.—The Heretical Practices of the Marcites in Regard of Baptism.

 Chapter XXXVII.—Marcus’ System Explained by Irenæus Marcus’ Vision The Vision of Valentinus Revealing to Him His System.

 Chapter XXXVIII.—Marcus’ System of Letters.

 Chapter XXXIX.—The Quaternion Exhibits “Truth.”

 Chapter XL.—The Name of Christ Jesus.

 Chapter XLI.—Marcus’ Mystic Interpretation of the Alphabet.

 Chapter XLII.—His System Applied to Explain Our Lord’s Life and Death.

 Chapter XLIII—Letters, Symbols of the Heavens.

 Chapter XLIV.—Respecting the Generation of the Twenty-Four Letters.

 Chapter XLV.—Why Jesus is Called Alpha.

 Chapter XLVI.—Marcus’ Account of the Birth and Life of Our Lord.

 Chapter XLVII.—The System of Marcus Shown to Be that of Pythagoras, by Quotations from the Writings of Marcus’ Followers.

 Chapter XLVIII.—Their Cosmogony Framed According to These Mystic Doctrines of Letters.

 Chapter XLIX.—The Work of the Demiurge Perishable.

 Chapter L.—Marcus and Colarbasus Refuted by Irenæus.

 Book VII.

 Chapter I.—Heresy Compared to (1) the Stormy Ocean, (2) the Rocks of the Sirens Moral from Ulysses and the Sirens.

 Chapter II.—The System of Basilides Derived from Aristotle.

 Chapter III.—Sketch of Aristotle’s Philosophy.

 Chapter IV.—Aristotle’s General Idea.

 Chapter V.—Nonentity as a Cause.

 Chapter VI.—Substance, According to Aristotle The Predicates.

 Chapter VII.—Aristotle’s Cosmogony His “Psychology ” His “Entelecheia ” His Theology His Ethics Basilides Follows Aristotle.

 Chapter VIII.—Basilides and Isidorus Allege Apostolic Sanction for Their Systems They Really Follow Aristotle.

 Chapter IX.—Basilides Adopts the Aristotelian Doctrine of “Nonentity.”

 Chapter X.—Origin of the World Basilides’ Account of the “Sonship.”

 Chapter XI.—The “Great Archon” Of Basilides.

 Chapter XII.—Basilides Adopts the “Entelecheia” Of Aristotle.

 Chapter XIII.—Further Explanation of the “Sonship.”

 Chapter XIV.—Whence Came the Gospel The Number of Heavens According to Basilides Explanation of Christ’s Miraculous Conception.

 Chapter XV.—God’s Dealings with the Creature Basilides’ Notion of (1) the Inner Man, (2) the Gospel His Interpretation of the Life and Sufferings of

 Chapter XVI.—The System of Saturnilus.

 Chapter XVII.—Marcion His Dualism Derives His System from Empedocles Sketch of the Doctrine of Empedocles.

 Chapter XVIII.—Source of Marcionism Empedocles Reasserted as the Suggester of the Heresy.

 Chapter XIX.—The Heresy of Prepon Follows Empedocles Marcion Rejects the Generation of the Saviour.

 Chapter XX.—The Heresy of Carpocrates Wicked Doctrines Concerning Jesus Christ Practise Magical Arts Adopt a Metempsychosis.

 Chapter XXI.—The System of Cerinthus Concerning Christ.

 Chapter XXII.—Doctrine of the Ebionæans.

 Chapter XXIII.—The Heresy of Theodotus.

 Chapter XXIV.—The Melchisedecians The Nicolaitans.

 Chapter XXV.—The Heresy of Cerdon.

 Chapter XXVI.—The Doctrines of Apelles Philumene, His Prophetess.

 Contents.

 Chapter I.—Heresies Hitherto Refuted Opinions of the Docetæ.

 Chapter II.—Docetic Notion of the Incarnation Their Doctrines of Æons Their Account of Creation Their Notion of a Fiery God.

 Chapter III.—Christ Undoes the Work of the Demiurge Docetic Account of the Baptism and Death of Jesus Why He Lived for Thirty Years on Earth.

 Chapter IV.—Docetic Doctrine Derived from the Greek Sophists.

 Chapter V.—Monoïmus Man the Universe, According to Monoïmus His System of the Monad.

 Chapter VI.—Monoïmus’ “Iota ” His Notion of the “Son of Man.”

 Chapter VII.—Monoïmus on the Sabbath Allegorizes the Rod of Moses Notion Concerning the Decalogue.

 Chapter VIII.—Monoïmus Explains His Opinions in a Letter to Theophrastus Where to Find God His System Derived from Pythagoras.

 Chapter IX.—Tatian.

 Chapter X.—Hermogenes Adopts the Socratic Philosophy His Notion Concerning the Birth and Body of Our Lord.

 Chapter XI.—The Quartodecimans.

 Chapter XII.—The Montanists Priscilla and Maximilla Their Prophetesses Some of Them Noetians.

 Others, however, styling themselves Encratites, acknowledge some things concerning God and Christ in like manner with the Church. In respect, however,

 Book IX.

 A lengthened conflict, then, having been maintained concerning all heresies by us who, at all events, have not left any unrefuted, the greatest strugg

 Chapter II.—Source of the Heresy of Noetus Cleomenes His Disciple Its Appearance at Rome During the Episcopates of Zephyrinus and Callistus Noetian

 Chapter III.—Noetianism an Offshoot from the Heraclitic Philosophy.

 Chapter IV.—An Account of the System of Heraclitus.

 Chapter V.—Heraclitus’ Estimate of Hesiod Paradoxes of Heraclitus His Eschatology The Heresy of Noetus of Heraclitean Origin Noetus’ View of the B

 Chapter VI.—Conduct of Callistus and Zephyrinus in the Matter of Noetianism Avowed Opinion of Zephyrinus Concerning Jesus Christ Disapproval of Hipp

 Chapter VII.—The Personal History of Callistus His Occupation as a Banker Fraud on Carpophorus Callistus Absconds Attempted Suicide Condemned to

 Chapter VIII.—Sect of the Elchasaites Hippolytus’ Opposition to It.

 Chapter IX.—Elchasai Derived His System from Pythagoras Practised Incantations.

 Chapter X.—Elchasai’s Mode of Administering Baptism Formularies.

 Chapter XI.—Precepts of Elchasai.

 Chapter XII.—The Heresy of the Elchasaites a Derivative One.

 Chapter XIII.—The Jewish Sects.

 Chapter XIV.—The Tenets of the Esseni.

 Chapter XV.—The Tenets of the Esseni Continued.

 Chapter XVI.—The Tenets of the Esseni Continued.

 Chapter XVII.—The Tenets of the Esseni Continued.

 Chapter XVIII.—The Tenets of the Esseni Continued.

 Chapter XIX.—The Tenets of the Esseni Continued.

 Chapter XX.—The Tenets of the Esseni Concluded.

 Chapter XXI.—Different Sects of the Esseni.

 Chapter XXII.—Belief of the Esseni in the Resurrection Their System a Suggestive One.

 Chapter XXIII.—Another Sect of the Esseni: the Pharisees.

 Chapter XXIV.—The Sadducees.

 Chapter XXV.—The Jewish Religion.

 Chapter XXVI.—Conclusion to the Work Explained.

 Book X.

 Chapter I.—Recapitulation.

 Chapter II.—Summary of the Opinions of Philosophers.

 Chapter III.—Summary of the Opinions of Philosophers Continued.

 Chapter IV.—Summary of the Opinions of Philosophers Continued.

 Chapter V.—The Naasseni.

 Chapter VI.—The Peratæ.

 Chapter VII.—The Sethians.

 Chapter VIII.—Simon Magus.

 Chapter IX.—Valentinus.

 Chapter X.—Basilides.

 Chapter XI.—Justinus.

 Chapter XII.—The Docetæ.

 Chapter XIII.—Monoïmus.

 Chapter XIV.—Tatian.

 Chapter XV.—Marcion and Cerdo.

 Chapter XVI.—Apelles.

 Chapter XVII.—Cerinthus.

 Chapter XVIII.—The Ebionæans.

 But Theodotus of Byzantium introduced a heresy of the following description, alleging that all things were created by the true God whereas that Chris

 Chapter XX.—Melchisedecians.

 Chapter XXI.—The Phrygians or Montanists.

 Chapter XXII.—The Phrygians or Montanists Continued.

 Chapter XXIII.—Noetus and Callistus.

 Chapter XXIV.—Hermogenes.

 Chapter XXV.—The Elchasaites.

 Chapter XXVI.—Jewish Chronology.

 Chapter XXVII.—Jewish Chronology Continued.

 Chapter XXVIII.—The Doctrine of the Truth.

 Chapter XXIX.—The Doctrine of the Truth Continued.

 Chapter XXX.—The Author’s Concluding Address.

Chapter XLIII.—Recapitulation of Theologies and Cosmogonies; System of the Persians; Of the Babylonians; The Egyptian Notion of Deity; Their Theology Based on a Theory of Numbers; Their System of Cosmogony.

Among all those who throughout the earth, as philosophers and theologians, have carried on investigations, has prevailed diversity of opinion259    See Aristotle’s Metaphysics, book i.; Cicero, De Naturâ Deorum, book i. (both translated in Bohn’s Classical Library); and Plutarch, De Placitis Philosophorum. lib. i. concerning the Deity, as to His essence or nature. For some affirm Him to be fire, and some spirit, and some water, while others say that He is earth. And each of the elements labours under some deficiency, and one is worsted by the other. To the wise men of the world, this, however, has occurred, which is obvious to persons possessing intelligence; (I mean) that, beholding the stupendous works of creation, they were confused respecting the substance of existing things, supposing that these were too vast to admit of deriving generation from another, and at the same time (asserting) that neither the universe itself is God. As far as theology was concerned, they declared, however, a single cause for things that fall under the cognizance of vision, each supposing the cause which he adjudged the most reasonable; and so, when gazing on the objects made by God, and on those which are the most insignificant in comparison with His overpowering majesty, not, however, being able to extend the mind to the magnitude of God as He really is, they deified these (works of the external world).

But the Persians,260    The mention of the Persians, Babylonians, and Egyptians shows the subject-matter of the lost books to have been concerning the speculative systems of these nations. supposing that they had penetrated more within the confines of the truth, asserted that the Deity is luminous, a light contained in air. The Babylonians, however, affirmed that the Deity is dark, which very opinion also appears the consequence of the other; for day follows night, and night day. Do not the Egyptians, however,261    This rendering follows Miller’s text. Schneidewin thinks there is a hiatus, which the Abbe Cruice fills up, the latter translating the passage without an interrogation: “The Egyptians, who think themselves more ancient than all, have formed their ideas of the power of the Deity by calculations and computing,” etc. who suppose themselves more ancient than all, speak of the power of the Deity? (This power they estimate by) calculating these intervals of the parts (of the zodiac; and, as if) by a most divine inspiration,262    Or, “meditation on the divine nature,” or “godlike reflection.” they asserted that the Deity is an indivisible monad, both itself generating itself, and that out of this were formed all things. For this, say they,263    The ms. has “says he.” being unbegotten, produces the succeeding numbers; for instance, the monad, superadded into itself, generates the duad; and in like manner, when superadded (into duad, triad, and so forth), produces the triad and tetrad, up to the decade, which is the beginning and end of numbers. Wherefore it is that the first and tenth monad is generated, on account of the decade being equipollent, and being reckoned for a monad, and (because) this multiplied ten times will become a hundred, and again becomes a monad, and the hundred multiplied ten times will produce a thousand, and this will be a monad. In this manner also the thousand multiplied ten times make up the full sum of a myriad; in like manner will it be a monad.  But by a comparison of indivisible quantities, the kindred numbers of the monad comprehend 3, 5, 7, 9.264    The Abbe Cruice suggests the elimination of 9, on account of its being a divisible number.

There is also, however, a more natural relation of a different number to the monad, according to the arrangement of the orbit of six days’ duration,265    Miller considers some reference here to the six days’ creation (Hexaëmeron), on account of the word φυσικωτέρα, i.e., more natural. The Abbe Cruice considers that there is an allusion to an astronomic instrument used for exhibiting harmonic combinations; see Ptolem., Harmon., i. 2. Bunsen reads τοῦ ἑξακύκλου ὑλικοῦ. (that is), of the duad, according to the position and division of even numbers. But the kindred number is 4 and 8. These, however, taking from the monad of the numbers266    The text is obviously corrupt. As given by Schneidewin, it might be rendered thus: “These deriving from the monad a numerical symbol, a virtue, have progressed up to the elements.” He makes no attempt at a Latin version. The Abbe Cruice would suggest the introduction of the word προστεθεῖσαν, on account of the statement already made, that “the monad, superadded into itself, produces a duad.” an idea of virtue, progressed up to the four elements; (I allude), of course, to spirit, and fire, and water, and earth. And out of these having made the world, (God) framed it an ermaphrodite, and allocated two elements for the upper hemisphere, namely spirit and fire; and this is styled the hemisphere of the monad, (a hemisphere) beneficent, and ascending, and masculine. For, being composed of small particles, the monad soars into the most rarified and purest part of the atmosphere; and the other two elements, earth and water, being more gross, he assigned to the duad; and this is termed the descending hemisphere, both feminine and mischievous. And likewise, again, the upper elements themselves, when compared one with another, comprise in one another both male and female for fruitfulness and increase of the whole creation. And the fire is masculine, and the spirit feminine. And again the water is masculine, and the earth feminine. And so from the beginning fire consorted with spirit, and water with earth. For as the power of spirit is fire, so also that of earth is water;267    There is a hiatus here. Hippolytus has said nothing concerning enneads.…and the elements themselves, when computed and resolved by subtraction of enneads, terminate properly, some of them in the masculine number, and others of them in the feminine. And, again, the ennead is subtracted for this cause, because the three hundred and sixty parts of the entire (circle) consist of enneads, and for this reason the four regions of the world are circumscribed by ninety perfect parts. And light has been appropriated to the monad, and darkness to the duad, and life to light, according to nature, and death to the duad. And to life (has been appropriated) justice; and to death, injustice. Wherefore everything generated among masculine numbers is beneficent, while that (produced) among feminine (numbers) is mischievous. For instance, they pursue their calculations thus: monad—that we may commence from this—becomes 361, which (numbers) terminate in a monad by the subtraction of the ennead. In like manner, reckon thus: Duad becomes 605; take away the enneads, it ends in a duad, and each reverts into its own peculiar (function).

[43] Πᾶσι τοῖς κατὰ τὴν οἰκουμένην φιλοσόφοις καὶ θεολόγοις ζητήσασιν οὐ συνεφώνησε περὶ τοῦ θεοῦ, τί ἐστιν ἢ ποδαπός: οἱ μὲν γὰρ αὐτὸν λέγουσιν εἶναι πῦρ, οἱ δὲ πνεῦμα, οἱ δὲ ὕδωρ, ἕτεροι δὲ γῆν: ἕκαστον δὲ τῶν στοιχείων ἔλαττόν τι ἔχει καὶ ἕτερον ὑπὸ τοῦ ἑτέρου ἡττᾶται. τοῦτο δὴ συνέβη τοῖς τοῦ κόσμου σοφοῖς_ὅπερ ἐστὶ τοῖς νοῦν ἔχουσι πρόδηλον: _οἳ ἰδόντες τῆς κτίσεως τὰ μεγέθη, ἐπὶ τῇ τῶν ὄντων οὐσίᾳ ἐταράχθησαν, μείζονα ταῦτα νομίσαντες τοῦ ὑφ' ἑτέρου γένεσιν ἐπιδέξασθαι δύνασθαι. καὶ οὐδὲ ὁμοῦ τὸ σύμπαν αὐτὸ εἶναι τὸν θεὸν ἀπεφήναντο, [ἀλλ'] αἴτιον πρὸς θεολογίαν [ἕκαστος] ἓν τῶν βλεπομένων [ἐ]νόμισεν, ὅπερ [προ]έκρινε. καὶ οὕτως [ἐπὶ] τοῖς ὑπὸ θεοῦ γενομένοις καὶ κατὰ τὴν ἐκείνου ὑπερβάλλουσαν μεγαλειότητα ἐλαχίστοις ὑπάρχουσιν ἐνιδόντες, μὴ δυνηθέντες δὲ εἰς τὸ μέγεθος τοῦ ὄντως θεοῦ ἐκτεῖναι τὸν νοῦν, ταῦτα ἐθεολόγησαν. οἱ δὲ ἐνδοτέρω τῆς ἀληθείας νομίσαντες γεγονέναι Πέρσαι ἔφασαν τὸν θεὸν εἶναι φωτεινόν, φῶς ἐν ἀέρι συνεχόμενον: οἱ δὲ Βαβυλώνιοι ἔφασαν τὸν θεὸν σκοτεινὸν εἶναι, ὅπερ καὶ αὐτὸ [τοῦ] ἑτέρου (ἐ)πακολούθημα φαίνεται: νυκτὶ γὰρ ἐπακολουθεῖ ἡμέρα, τῇ δὲ ἡμέρᾳ νύξ. Αἰγύπτιοι δὲ πάντων ἀρχαιότεροι εἶναι νομίζοντες, τὴν τοῦ θεοῦ δύναμιν ψηφίσαντες τά τε διαστήματα τῶν μοιρῶν, ἐξ ἐπι[π]νοίας θειοτάτης ἔφασαν τὸν θεὸν εἶναι μονάδα ἀδιαίρετον καὶ αὐτὴν ἑαυτὴν γεννῶσαν, καὶ ἐξ αὐτῆς τὰ πάντα κατεσκευάσθαι. αὕτη γάρ, φασίν, ἀγέννητος οὖσα τοὺς ἑξῆς ἀριθμοὺς γεννᾷ: οἷον ἐφ' ἑαυτὴν ἡ μονὰς ἐπιπροσ[τε]θεῖσα γεννᾷ τὴν δυάδα, καὶ ὁμοίως ἐπιπροστιθεμένη γεννᾷ τὴν τριάδα καὶ [τὴν] τετράδα μέχρι τῆς δεκάδος, ἥτις [ἐστὶν ἡ] ἀρχὴ καὶ τὸ τέλος τῶν ἀριθμῶν, ἵνα γένηται πρώτη καὶ δεκάτη ἡ μονάς, διὰ τὸ καὶ τὴν δεκάδα ἰσοδυναμεῖν καὶ ἀριθμεῖσθαι εἰς μονάδα. κἂν αὕτη δεκαπλασιασθεῖσα γένηται ἑκατοντάς, καὶ [αὕτη] πάλιν γίνεται μονάς: κἂν ἡ ἑκατοντὰς δεκαπλασιασθεῖσα ποιήσῃ χιλιάδα, καὶ αὕτη ἔσται μονάς: οὕτως κἂν τὰ χίλια δεκαπλασιασθέντα ἀπαρτίσωσι τὴν μυριάδα, ὁμοίως ἔσται μονάς. τῆς δὲ μονάδος κατὰ τὴν ἀδ(ιαίρε)τον σύγκρισιν συγγενεῖς ἀριθμοὶ παραλαμβάνονται γʹ εʹ ζʹ [θʹ]. ἔστι δὲ καὶ ἑτέρ(ου) ἀριθμοῦ συγγένεια πρὸς τὴν μονάδα φυσικωτέρα κατὰ τὴν τῆς ἑξακύκλου ἕλικος πραγματείαν, τῆς δυάδος, κατὰ τὴν ἄρτιον θέσιν τῶν ἀριθμῶν καὶ διαίρεσιν: συγγενὴς δὲ [ὁ] ἀριθμός ἐστι τοῦ δʹ καὶ [ὁ] ηʹ. ταῦτα δὲ ἐκ τῆς μονάδος ἀρχὴν λαβόντα [ἡ τοῦ θεοῦ] πρόνοια [τῆς] ἀρχῆς ἐχώρισε μέχρι τῶν τεσσάρων στοιχείων, λέγω δὴ τοῦ πνεύματος καὶ πυρός, ὕδατός τε καὶ γῆς. καὶ ἐκ τούτων [δὲ] ποιήσας τὸν κόσμον, ἀρρενόθηλυν αὐτὸν κατεσκεύ(α)σε: καὶ δύο μὲν στοιχεῖα εἰς τὸ ἄνω ἡμισφαίριον προσέταξε, τό τε πνεῦμα καὶ τὸ πῦρ, καὶ καλεῖται τοῦτο [τὸ] ἡμισφαίριον, [ὂν] τῆς μονάδος, ἀγαθοποιόν τε καὶ ἀνωφερὲς καὶ ἀρσενικόν_λεπτομερὴς γὰρ οὖσα ἡ μονὰς ποτᾶται εἰς τὸ λεπτότατον μέρος καὶ καθαρώτατον τοῦ αἰθέρος: _τὰ δὲ ἄλλα δύο στοιχεῖα, ὄντα παχύτερα, ἀπένειμεν τῇ δυάδι, γῆν τε καὶ ὕδωρ, καὶ καλεῖται τοῦτο τὸ ἡμισφαίριον κατωφερές, θηλυκόν τε καὶ κακοποιόν. καὶ αὐτὰ δὲ πάλιν τὰ ἄνω δύο στοιχεῖα ἑαυτοῖς συγκρινόμενα ἔχουσιν ἐν ἑαυτοῖς τὸ ἄρρεν καὶ τὸ θῆλυ, πρὸς εὐκαρπίαν καὶ αὔξησιν τῶν ὅλων: καὶ τὸ μὲν πῦρ ἄρρεν ἐστί, τὸ δὲ πνεῦμα θῆλυ: καὶ πάλιν τὸ [μὲν] ὕδωρ ἄρρεν ἐστίν, ἡ δὲ γῆ θῆλυ. καὶ οὕτως ἀπ' ἀρχῆς συνεβίωσε τὸ πῦρ τῷ πνεύματι, τῇ δὲ γῇ τὸ ὕδωρ: ὥσπερ γὰρ δύναμις τοῦ πνεύματός ἐστι τὸ πῦρ, οὕτως καὶ τῆς γῆς τὸ ὕδωρ. Καὶ αὐτὰ δὲ τὰ στοιχεῖα ψηφιζόμενα καὶ ἀναλυόμενα καθ' ὑφαίρεσιν ἐν[ν]άδων λήγει οἰκείως, ἃ μὲν εἰς τὸν ἀρρενικὸν ἀριθμόν, ἃ δὲ εἰς τὸν θηλυ[κόν]. ὑφαιρεῖται δὲ πάλιν ἡ ἐννὰς διὰ ταύτην τὴν αἰτίαν: διὰ τὸ τὰς τριακοσίας ἑξήκοντα τοῦ ὅλου μοίρας ἐξ ἐννεάδων συνίστασθαι, καὶ διὰ τοῦτο τὰ [τ]έτ[τ]αρα πλινθία τοῦ κό(σ)μου [ὑπὸ] ἐνενήκοντα μοιρῶν περιγεγράφθαι τελείων. προσῳκείωται δὲ τῇ [μὲν] μονάδι τὸ φῶς, τῇ δὲ δυάδι τὸ σκότος: καὶ τῷ μὲν φωτὶ κατὰ φύσιν ἡ ζωή, τῷ δὲ σκότει ὁ θάνατος: καὶ τῇ μὲν ζωῇ [ἡ] δικαιοσύνη, τῷ δὲ θανάτῳ ἡ ἀδικία. διὸ πᾶν γεννώμενον ἐν τοῖς ἀρσενικοῖς ἀριθμοῖς ἀγαθοποιόν ἐστι, τὸ δὲ ἐν τοῖς θηλυκοῖς κακο(ποι)όν ἐστιν. οἷον ψηφίζουσι: μονάς_ ἵνα ἀπ' αὐτῆς ἀρξώμεθα_γίνεται τξαʹ, ἃ λήγει εἰς μονάδα τῆς ἐννεάδος ὑφαιρεθείσης. ὁμοίως ψήφισον: δυὰς γίνεται χεʹ: ὕφελε τὰς ἐννεάδας, λήγει εἰς δυάδα, καὶ ἀποκαθίσταται ἕκαστον εἰς τὸ ἴδιον.