The heretics claim souls are created by angels and preexist the body

Some suppose that they came down from heaven, with as firm a belief as they are apt to entertain, when they indulge in the prospect of an undoubted return thither. Saturninus, the disciple of Menander, who belonged to Simon’s sect, introduced this opinion: he affirmed that man was made by angels.

…Now, to procure belief in all this—that the soul had formerly lived with God in the heavens above, sharing His ideas with Him, and afterwards came down to live with us on earth, and whilst here recollects the eternal patterns of things which it had learnt before—he elaborated his new formula, μαθήσεις ἀναμνήσεις, which means that “learning is reminiscence;” implying that the souls which come to us from thence forget the things amongst which they formerly lived, but that they afterwards recall them, instructed by the objects they see around them. Forasmuch, therefore, as the doctrines which the heretics borrow from Plato are cunningly defended by this kind of argument, I shall sufficiently refute the heretics if I overthrow the argument of Plato.

…Amongst so many nations, in so great a crowd of sages, Plato, to be sure, is the only man who has combined the oblivion and the recollection of ideas. Now, since this main argument of his by no means keeps its ground, it follows that its entire superstructure must fall with it, namely, that souls are supposed to be unborn, and to live in the heavenly regions, and to be instructed in the divine mysteries thereof; moreover, that they descend to this earth, and here recall to memory their previous existence, for the purpose, of course, of supplying to our heretics the fitting materials for their systems.

Tertullian
A Treatise on the Soul
Chapter XXIII and XXIV

The soul is not superior to the body

Our present subject concerns the soul, and the point is to prevent the insidious ascription of a superiority to the intellect or understanding. Now, although the objects which are touched by the intellect are of a higher nature, since they are spiritual, than those which are embraced by the senses, since these are corporeal, it will still be only a superiority in the objects—as of lofty ones contrasted with humble—not in the faculties of the intellect against the senses. For how can the intellect be superior to the senses, when it is these which educate it for the discovery of various truths?

…Two conclusions therefore follow from what we have said: (1) That the intellect is not to be preferred above the senses, on the (supposed) ground that the agent through which a thing exists is inferior to the thing itself; and (2) that the intellect must not be separated from the senses, since the instrument by which a thing’s existence is sustained is associated with the thing itself.

Tertullian
A Treatise on the Soul
Chapter XVIII

God addresses the soul of man to turn it toward him

In short, philosophers themselves, and medical men, even when it is their purpose to discourse about the mind, do in every instance inscribe on their title-page and table of contents, “De Anima” (“A treatise on the soul”).  And that you may also have God’s voucher on the subject, it is the soul which He addresses; it is the soul which He exhorts and counsels, to turn the mind and intellect to Him. It is the soul which Christ came to save; it is the soul which He threatens to destroy in hell; it is the soul (or life) which He forbids being made too much of; it is His soul, too (or life), which the good Shepherd Himself lays down for His sheep. It is to the soul, therefore, that you ascribe the supremacy; in it also you possess that union of substance, of which you perceive the mind to be the instrument, not the ruling power.

Tertullian
A Treatise on the Soul
Chapter XIII

The soul, or nous, is a faculty which possesses knowledge

In like manner the mind also, or animus, which the Greeks designate ΝΟΥΣ, is taken by us in no other sense than as indicating that faculty or apparatus which is inherent and implanted in the soul, and naturally proper to it, whereby it acts, whereby it acquires knowledge, and by the possession of which it is capable of a spontaneity of motion within itself, and of thus appearing to be impelled by the mind, as if it were another substance, as is maintained by those who determine the soul to be the moving principle of the universe—the god of Socrates, Valentinus’ “only-begotten” of his father Bythus, and his mother Sige.

…We, however, affirm that the mind coalesces with the soul,—not indeed as being distinct from it in substance, but as being its natural function and agent.

Tertullian
A Treatise on the Soul
Chapter XII

The soul awaits the last judgement after death. Christ preached to the souls in Hades.

But what is that which is removed to Hades after the separation of the body; which is there detained; which is reserved until the day of judgment; to which Christ also, on dying, descended? I imagine it is the souls of the patriarchs.

Tertullian
A Treatise on the Soul
Chapter VII

Christians do not believe in a preexistent or eternal soul

After settling the origin of the soul, its condition or state comes up next.  For when we acknowledge that the soul originates in the breath of God, it follows that we attribute a beginning to it.  This Plato, indeed, refuses to assign to it, for he will have the soul to be unborn and unmade. We, however, from the very fact of its having had a beginning, as well as from the nature thereof, teach that it had both birth and creation.

Tertullian
A Treatise on the Soul
Chapter IV

Tertullian claims that belief in the soul must have come from the Jewish scriptures first

But, clearly, since the Scriptures of God, whether belonging to Christians or to Jews, into whose olive tree we have been grafted—are much more ancient than any secular literature, (or, let us only say, are of a somewhat earlier date, as we have shown in its proper place when proving their trustworthiness); if the soul have taken these utterances from writings at all, we must believe it has taken them from ours, and not from yours, its instruction coming more naturally from the earlier than the later works.

Tertullian
The Soul’s Testimony
Chapter V

People continue to exist as disembodied souls after death and before the resurrection

Even now, as the matter refers to thy opinion on a point the more closely belonging to thee, in so far as it bears on thy personal well-being, we maintain that after life has passed away thou still remainest in existence, and lookest forward to a day of judgment, and according to thy deserts art assigned to misery or bliss, in either way of it for ever; that, to be capable of this, thy former substance must needs return to thee, the matter and the memory of the very same human being: for neither good nor evil couldst thou feel if thou wert not endowed again with that sensitive bodily organization, and there would be no grounds for judgment without the presentation of the very person to whom the sufferings of judgment were due. That

Tertullian
The Soul’s Testimony
Chapter IV

Our souls will return to the same bodies

Ridicule, therefore, as much as you like the excessive stupidity of such minds as die that they may live; but then, in order that you may be able to laugh more merrily, and deride us with greater boldness, you must take your sponge, or perhaps your tongue, and wipe away those records of yours every now and then cropping out, which assert in not dissimilar terms that souls will return to bodies. But how much more worthy of acceptance is our belief which maintains that they will return to the same bodies!

Tertullian
Ad Nationes, Book I
Chapter XIX

The souls of the departed live on in an intermediate state before heaven

It must therefore be evident to every man of intelligence who has ever heard of the Elysian fields, that there is some determinate place called Abraham’s bosom, and that it is designed for the reception of the souls of Abraham’s children, even from among the Gentiles (since he is “the father of many nations,” which must be classed amongst his family), and of the same faith as that wherewithal he himself believed God, without the yoke of the law and the sign of circumcision. This region, therefore, I call Abraham’s bosom. Although it is not in heaven, it is yet higher than hell, and is appointed to afford an interval of rest to the souls of the righteous, until the consummation of all things shall complete the resurrection of all men with the “full recompense of their reward.”

Tertullian
The Five Books Against Marcion, Book IV
Chapter XXXIV