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The Leibniz Contingency Argument

The deep dive explains the argument. This track makes you able to wield it — rebuild it from memory, meet its hardest objections, and stay clear and calm in a real conversation.

The argument in brief

The Leibnizian cosmological argument starts from a famous question Gottfried Leibniz pressed: "Why is there something rather than nothing?" Its engine is the Principle of Sufficient Reason — the idea that whatever exists has an explanation of its existence, either in the necessity of its own nature or in an external cause. The universe, by contrast, looks contingent: it exists, but there seems to be no reason it had to exist, and it could have been otherwise. If the universe is contingent, it cannot be the explanation of itself, so its explanation must lie in a being that exists necessarily — a being whose non-existence is impossible. That necessary, self-existent ground is what believers call God.

Unlike the Kalam argument, this one does not depend on the universe having a beginning. Even an eternal universe would still be contingent and still require an explanation for why it exists at all. The whole case therefore turns on two points: whether the Principle of Sufficient Reason holds, and whether the universe is genuinely contingent rather than itself necessary.

In fairness, a skeptic can call the universe a "brute fact" needing no explanation, or treat the cosmos itself as the necessary being. The argument does not claim to be a knock-down proof; our judgment, held with confidence rather than certainty, is that "the universe is just there" is a possible answer but not the better one: it stops explaining exactly where the question begins. That is not yet the whole Christian faith, which rests on revelation and on the historical evidence for the resurrection of Jesus.

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◆  Argument 3 of 13 in the God’s Existence track
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Bronze · UnderstandRebuild the argument and what the necessary ground must be, from memory (≥80%)
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1

Understand it

Not more prose — the load-bearing structure, defended bone by bone, then proven from memory. Work top to bottom; the checkpoint at the end asks you to rebuild it with nothing in front of you.

Before you start · key terms

Eight terms this argument turns on

Learn these first — the whole dispute is about the first one, the Principle of Sufficient Reason, and the contingent/necessary distinction it rests on.

Principle of Sufficient ReasonNo fact exists, and no statement is true, without a sufficient reason why it is so and not otherwise. Reality is, at bottom, intelligible.
Contingent beingOne that could have failed to exist — you, this planet, a hydrogen atom. Nothing in its nature guarantees its being; it depends on something else.
Necessary beingOne that exists by its own nature — it could not have failed to be, and so requires no external cause. The terminus the argument reaches.
Weak PSR (Gale–Pruss)Every fact possibly has an explanation (not “every fact has one”). Traceable to Duns Scotus; meant to run the argument while sidestepping modal collapse.
Modal collapseVan Inwagen's reductio: a strong PSR that necessitates every fact would make everything necessary — nothing could have been otherwise. The reason defenders retreat to the weak PSR + free choice.
Brute factSomething that exists with no explanation at all — Russell's “the universe is just there, and that's all.” The argument's central rival.
Explanation by free choiceA free agent's choice explains an effect without necessitating it — so God can explain the world while the world stays contingent (He could have chosen otherwise).
Necessary groundThe most the argument reaches: a necessary, transcendent, self-explanatory ground of all contingent reality — not yet the personal, good, triune God of worship.
The argument, formally

Three steps from a simple principle to a necessary being.

P1

Whatever exists has an explanation of its existence — in the necessity of its own nature or in an external cause.

P2

The universe is contingent — it exists, but it could have failed to exist.

∴ C

Therefore the universe’s explanation lies in a necessary being — the terminus Leibniz called God.

The conclusion follows with one step the deep dive makes explicit: the cause of all contingent things cannot itself be one more contingent thing, on pain of needing a further explanation. So objections land on the Principle of Sufficient Reason (P1), the claim that the universe is contingent (P2), or that extra step. Spot which one, and you are halfway to the answer.

From a necessary ground to God

Don’t read the conclusion — reason to it

Follow the explanation of the universe all the way down, then reveal — and note exactly how far it reaches, and how far it does not.

The universe exists. Is it contingent or necessary?
contingent — it could have failed to exist
So by the PSR its explanation must lie…?
in an external cause, beyond all physical reality
That cause can’t be spatial, temporal, or itself contingent (or it needs its own explanation) — so it is…?
a necessary, transcendent being
Why plausibly a mind, not an inert necessity?
a mindless necessity yields all-or-nothing; free choice best explains this world
How far does the inference reach?
a necessary, self-explanatory ground — no further

Honestly stated: if the argument succeeds it shows a necessary, transcendent, self-explanatory ground of all contingent reality — a great deal, but not yet the full God of Christian worship. The inference to personhood is a further step (though not arbitrary: a mindless necessary being would produce its effects necessarily, or nothing — a personal ground can freely choose to create this world). The inference to the triune God revealed in Jesus Christ requires the rest of the case — moral, historical, and revelatory. It is one strand in a cumulative case, held with confidence rather than certainty.

Defending Premise 1

Whatever exists has an explanation of its existence — in the necessity of its own nature or in an external cause.

The conclusion is valid; the fight is P1 (the Principle of Sufficient Reason) and P2 (the universe is contingent). Precision check: Premise 1 never said everything has an external cause; it said everything has an explanation either in an external cause or in the necessity of its own nature.

Reality is intelligible Modest form defensible

Reality is, at bottom, intelligible: things do not just happen to be the case for no reason whatsoever. To deny the principle is to say some things exist for no reason at all — which, on reflection, is harder to believe than the premise.

Honest narrowing: the argument needs only a modest PSR — Gale and Pruss’s weak principle that every fact possibly has an explanation (traceable to Duns Scotus), not the strong “every fact has one” that van Inwagen’s modal-collapse reductio targets. (Oppy replies the weak principle may entail the strong one given the other premises — which is why the free-choice move matters; see the bank.)

Two ways a thing can exist Clarification

A contingent being is one that could have failed to exist — you, this planet, the hydrogen atom. Nothing about its nature guarantees its being; it depends on something else. A necessary being, by contrast, exists by its own nature — it could not have failed to be, and so requires no external cause. Premise 1 simply says that for any existing thing, one of these two accounts must hold.

Objection — the “taxicab” charge (Schopenhauer onward)

Critics from Schopenhauer onward have leveled a tu quoque: the theist invokes the PSR to demand a cause of the universe, then suddenly dismisses it the moment we ask, “And what caused God?” The PSR, they charge, is treated like a hired cab — dismissed once it has carried you to your destination. If everything needs an explanation, so does God; if God can be the unexplained stopping point, why not the universe?

Reply

God is not an arbitrary exception to the PSR — God satisfies the PSR, as the being whose explanation lies in his own necessary nature. The argument concludes to a necessary being precisely because a necessary being is self-explanatory. To ask “what caused the necessary being?” is to ask what caused something that by definition could not fail to exist — a confused request. The taxi is not dismissed; it arrives at its proper destination.

Objection — van Inwagen: the PSR collapses into necessitarianism

Suppose the PSR is true, and consider the conjunction of all contingent truths — call it the Big Contingent Fact. By the PSR it must have an explanation. That explanation cannot be a necessary truth (necessary truths entail only necessary consequences, but the Big Contingent Fact is contingent). Nor can it be a contingent truth, for then it would be one of the conjuncts of the very fact it is supposed to explain — explaining itself, which is absurd. Worse, a strong PSR would entail that every truth is necessary — a modal collapse in which nothing could have been otherwise. If the PSR destroys all contingency, the theist cannot use it.

Reply

The theist has two moves, and the better defenders use both. First, the argument need not rest on the strong PSR at all. Gale and Pruss reformulate the principle as a weak PSR, traceable to Duns Scotus: not “every fact has an explanation” but “every fact possibly has an explanation.” This far more modest claim is meant to run a cosmological argument while sidestepping the modal-collapse worry, since merely possibly having an explanation does not by itself necessitate anything — though Oppy has argued that, given the argument’s other modal premises, the weak principle entails the strong one after all, which is why the second move matters. Second, the collapse objection assumes that to explain a contingent fact one must necessitate it. But explanation by free choice breaks this. If God freely chooses to create, the choice explains the world without making the world necessary — a free agent could have chosen otherwise. The explanans is necessary (God), but the explaining act is free, so contingency survives. Van Inwagen anticipates this and is unpersuaded; and the reply leans on a libertarian view of free will — itself a disputed metaphysics — so it arguably relocates the controversy rather than ending it. This is contested. But the defender’s position is reasonable, not desperate.

Objection — “The universe is just a brute fact”

In the 1948 BBC radio debate, asked whether the universe is “gratuitous,” Russell answered, “I should say that the universe is just there, and that’s all.” The cosmos, on this view, is a brute fact — it exists, full stop, and the demand for a further explanation is a category mistake. We can simply reject the Principle of Sufficient Reason for the universe itself — some things have no explanation.

Reply

If the universe is brute, the principle — even in its modest form — has been abandoned at the crucial point, and the naturalist owes an account of why this universe rather than any other. A brute initial state explains nothing about why it obtains, while a necessary ground that freely chooses to create explains both that there is a world and why it is contingent. So “the universe is just there” is a possible answer but not the better one. That is our judgment, held with confidence rather than certainty.

The room: defended by Pruss and Gale (the weak-PSR version), Koons, and Rasmussen; pressed by Oppy, Mackie, and van Inwagen. The central battleground is the PSR — few accept the unrestricted strong form; the action is on restricted and weak versions, and whether they suffice is genuinely disputed. The free-will reply to modal collapse is promising but not decisive.
Defending Premise 2

The universe is contingent — it exists, but it could have failed to exist.

Precision check: “the universe” means the whole of physical reality, all space, time, matter, and energy. The claim is contingency, not a beginning: the contingency argument is indifferent to whether the universe is finite or infinitely old.

The universe could have been otherwise Strongly supported

Nothing about the universe is self-explanatory: we can readily conceive the constants, the amount of matter, and the laws as different, or absent altogether. Its contents are paradigmatically contingent: a different array of particles, different laws, fewer galaxies, or none, all seem perfectly possible. A thing that could have failed to exist does not carry the reason for its own existence — and matter and energy come in arbitrary quantities, exactly unlike something that exists by the necessity of its own nature.

Many philosophers reject the universe’s metaphysical necessity Supporting

As Craig notes, many philosophers reject the idea that the universe exists by metaphysical necessity.

A whole of contingent things has nothing to ground it Contested

A whole composed entirely of contingent things, with no necessary member anywhere in it, has nothing within it that grounds its existence — and adding up things that each could have failed to exist does not produce something that could not have failed to exist.

Honest limit: whether contingency transfers from parts to whole is exactly the question — critics rightly insist it is what is in dispute.

Objection — “The universe itself is the necessary being”

Why add God? Maybe the universe just exists necessarily — it is the brute necessary thing, and no further explanation is required. If we are allowed to posit one necessary stopping point, why must it be God rather than matter-energy?

Reply

The universe does not look necessary. A necessary being must exist in every possible world and could not have been otherwise in any respect. But we can readily conceive the universe with different laws, different particles, or not at all. Its constituents are contingent through and through, and a being whose every part could have been different is a poor candidate for something that exists by the sheer necessity of its own nature.

Objection — Oppy: the cosmos or its initial state is the terminus Hardest

Oppy accepts that explanation must stop somewhere — but he argues the naturalist can take the stopping point to be the cosmos itself, or its initial state. He frames a dilemma: either every possible world shares an initial segment with the actual world, in which case the universe’s initial state is necessary; or it does not, in which case that state is a brute contingent fact. Either way, naturalism has a terminus. And by a principle of parsimony, whatever explanatory role the theist assigns to God, the naturalist can assign to nature itself — positing one fewer entity, and so winning on simplicity.

Reply

The theist’s reply is a weighing rather than a knockout. If the cosmos’s initial state is brute, then the PSR — even the weak PSR — has been abandoned at the crucial point, and the naturalist owes an account of why this state rather than any other. If instead the initial state is necessary, the theist asks whether a specific physical configuration — describable, quantifiable, seemingly capable of being otherwise — is really the kind of thing that could exist by absolute necessity, in the way a non-composite, non-physical ground might. Oppy can press back that “God” is no more obviously necessary than the cosmos, and that parsimony favors stopping sooner. But parsimony only breaks ties between explanations that explain equally well, and these do not: a brute initial state explains nothing about why it obtains, while a necessary ground that freely chooses to create explains both that there is a world and why it is contingent. The exchange ends in a judgment about which terminus is more plausibly necessary and more genuinely explanatory — and on both counts the theist’s is the better one.

What it does, and doesn’t, establish: if the argument succeeds, it shows a necessary, transcendent, self-explanatory ground of all contingent reality. That is a great deal. But it is not yet the full God of Christian worship. The inference to the triune God revealed in Jesus Christ requires the rest of the case — moral, historical, and revelatory.

The room: defended by Pruss and Gale (the weak-PSR version), Koons, and Rasmussen; pressed by Oppy, Mackie, and van Inwagen. Oppy, the sharpest contemporary opponent, grants more than Hume or Russell did: he accepts that explanation must stop somewhere, but argues the naturalist can take the stopping point to be the cosmos itself, or its initial state. As Craig notes, many philosophers reject the idea that the universe exists by metaphysical necessity. Whether the universe can simply be “just there” — a brute fact — remains, after two and a half centuries, a real fork in the road on which honest thinkers part ways.
The hard part — objections, answered

The objections you will actually meet

This is what separates someone who has heard of the argument from someone who can defend it. Each of these gets its strongest form first, then the reply — and the hardest objection of all is flagged below.

The one that matters most: Oppy’s — a necessary God is a terminus too, and on a bare count of entities his ledger is shorter. The deep dive answers it at length — take it with you, not just the replies below.

"The universe itself is the necessary being" Common

Strongest form

Why add God? Maybe the universe just exists necessarily — it is the brute necessary thing, and no further explanation is required.

Reply

The universe does not look necessary. A necessary being must exist in every possible world and could not have been otherwise in any respect. But we can readily conceive the universe with different laws, different particles, or not at all — and a being whose every part could have been different is a poor candidate for something that exists by the sheer necessity of its own nature.

"The universe is just a brute fact" Hard

Strongest form

Russell’s line: the universe is just there, and that is all. We can simply reject the Principle of Sufficient Reason for the universe itself — some things have no explanation.

Reply

If the universe is brute, the principle — even in its modest form — has been abandoned at the crucial point, and the naturalist owes an account of why this universe rather than any other. A brute initial state explains nothing about why it obtains, while a necessary ground that freely chooses to create explains both that there is a world and why it is contingent. So "the universe is just there" is a possible answer but not the better one. That is our judgment, held with confidence rather than certainty.

"Explaining each part explains the whole" Trickier

Strongest form

If you explain every contingent thing by a prior contingent thing — even an infinite chain — you have explained everything. Asking for a further explanation of the whole collection is a fallacy.

Reply

Explaining each link by the previous link never answers why there is any chain at all rather than nothing. A contingent series, however long, still seems to need explaining. Whether contingency transfers from parts to whole is exactly the question, and some properties do transfer (a wall built entirely of brick is itself brick). A whole composed entirely of contingent things, with no necessary member anywhere in it, has nothing within it that grounds its existence.

"The Principle of Sufficient Reason destroys free will" Hard

Strongest form

If every fact has a sufficient reason that necessitates it, then nothing is contingent and no choice is free — the principle leads to modal collapse and refutes itself.

Reply

The theist has two moves. First, Gale and Pruss reformulate the principle as a weak PSR — not "every fact has an explanation" but "every fact possibly has an explanation." This far more modest claim is meant to run a cosmological argument while sidestepping the modal-collapse worry — though Oppy has argued that, given the argument's other modal premises, the weak principle entails the strong one after all, which is why the second move matters. Second, explanation by free choice explains the world without making it necessary: a free agent could have chosen otherwise. The reply leans on a libertarian view of free will, itself disputed — but the defender's position is reasonable, not desperate.

"Why a necessary being and not a necessary number?" Trickier

Strongest form

Grant a necessary explanation — why think it is God rather than some abstract object, like a number or a set, existing necessarily?

Reply

Abstract objects are causally impotent — a number cannot cause a universe. The necessary being must be able to produce contingent reality and, to bring about a contingent universe, plausibly chooses to. That points to a necessary mind, not an inert abstraction or a brute particle (which would itself be contingent).

"The explanation is unknown, not God" Common

Strongest form

Even granting the universe has an explanation, you cannot leap straight to God. It could be some unknown necessary cause we have no concept of.

Reply

The argument does not start from the word God. It reasons to the properties the explanation must have — necessary, self-existent, the cause of all space, time, and matter, plausibly personal — and notes these are exactly the core attributes classical theism ascribes to God. It is an inference to what the ground must be like, not a label slapped on a mystery. Still, it is not yet the full God of Christian worship: the inference to the triune God revealed in Jesus Christ requires the rest of the case — moral, historical, and revelatory.

"The cosmos itself can be the stopping point" Hard

Strongest form

Explanation must stop somewhere — but the naturalist can take the stopping point to be the cosmos itself, or its initial state. Either way, naturalism has a terminus. And by a principle of parsimony, whatever explanatory role the theist assigns to God, the naturalist can assign to nature itself — positing one fewer entity, and so winning on simplicity.

Reply

The theist's reply is a weighing rather than a knockout. But parsimony only breaks ties between explanations that explain equally well, and these do not: a brute initial state explains nothing about why it obtains, while a necessary ground that freely chooses to create explains both that there is a world and why it is contingent. The exchange ends in a judgment about which terminus is more plausibly necessary and more genuinely explanatory — and on both counts the theist's is the better one.

Touch the originals

Where this comes from — primary sources, not our summary

Gottfried Leibniz1714 · Principles of Nature and Grace; Monadology
Framed the Principle of Sufficient Reason and the question behind the whole argument: why is there something rather than nothing?
Samuel Clarke1705 · A Demonstration of the Being and Attributes of God
Developed the contingency argument in detail and defended it against early objections.
Richard Taylor20th c. · Metaphysics
His translucent-ball illustration: a ball found in the forest needs an explanation — and enlarging it to the size of the universe does not remove the need.
William Lane Craigcontemporary
Gave the argument's most widely discussed modern formulation (Reasonable Faith, ch. 3) and defends the link from a necessary being to God. (We paraphrase — the originals reward the time.)
The honest state of the scholarship

Where the argument really stands

Among professional philosophers of religion the contingency argument is taken seriously — defended ably by Pruss (with Gale), Koons and Rasmussen, and pressed hard by Oppy, Mackie and others. The central battleground is the Principle of Sufficient Reason: few today accept the unrestricted strong PSR in van Inwagen's target form, so the action has moved to restricted and weak versions, and whether those suffice is genuinely disputed. The free-will reply to modal collapse is promising but not decisive.

The real fork: whether the universe can simply be “just there” — a brute fact — remains, after two and a half centuries, a point on which honest thinkers part ways. Naming it so is accuracy, not weakness.

The bounded verdict: if it succeeds, the argument shows a necessary, transcendent, self-explanatory ground of all contingent reality — not yet the personal, good, triune God of worship. “The universe is just there” is a possible answer, but not the better one: it stops explaining exactly where the question begins, while a necessary being is the kind of thing that could answer it. That is our judgment, held with confidence rather than certainty — one strand in a cumulative case that rests, above all, on the historical evidence for the resurrection.

Checkpoint · earn Bronze

Rebuild it from memory — nothing in front of you

Close the sections above. This is the retrieval that turns reading into knowing — and it is how this argument reaches Bronze · Understand on your shelf. Opening accordions no longer counts; showing you can rebuild the structure does.

1 · Put the argument in order — tap the three lines in sequence.
2 · What must the necessary ground be? Select every property the argument establishes — and nothing it doesn’t.
2

Practice it

Knowledge you can't retrieve under pressure isn't yours yet. Three drills that route this argument through tools you already have.

Drill 1 · Explain It Back — free recall

Reconstruct the argument with nothing in front of you

Scroll the sections away and generate it from memory — recalling is what builds durable memory; re-reading only feels like it does. Keep the scope honest (a necessary ground, not yet the full God). Pick your level; the bar rises as you go. Scored out of 10, accuracy first. An 8+ is one half of Silver.

0/10
    Drill 2 · Flashcards

    Drilled straight from this argument

    Twelve cards drawn from the PSR, the contingent/necessary distinction, the objections, and the honest limits above. Answer out loud before you flip — the effort of recall is the whole point; a card you merely recognise hasn't stuck. Each card is graded: type the key idea, flip, mark it. Three correct recalls and a card rests; it comes back on Today when it is due.

    Prompt

    tap to flip
    Answer

    tap to flip
    Drill 3 · The brute fact (worked example)

    Hold the line on a brute fact

    Start here: draft your reply, then reveal a model answer to compare. This is the worked example — Drill 4 then makes you do it cold across the objection set.

    SK
    Skeptic
    "Why does the universe need an explanation at all? Maybe it just exists, full stop — a brute fact. Not everything has to have a reason."
    One strong way to answer — in a 1 Peter 3:15 tone

    "I get the instinct, and ‘the universe is just there’ is a possible answer — but not the better one: it stops explaining exactly where the question begins. Things do not just happen to be the case for no reason whatsoever; if the universe is brute, the principle has been abandoned at the crucial point, and you still owe an account of why this universe rather than any other, or none. And the universe doesn't look necessary: we can readily conceive it with different laws, different particles, or not at all. Follow its explanation all the way down and you reach something that cannot fail to exist — the kind of thing that could actually answer the question."

    Drill 4 · Answer the objections cold

    Four objections, no notes — reply, then check

    The other half of Silver. Draft a reply from memory, reveal the certified answer, and rate yourself honestly. Clear all four with a “nailed it” and you can field them in the wild — not just recognise them on the page.

    SK
    Skeptic
    A strong reply — ported from this page’s certified answer

    3

    Prove it

    Mastery isn't a feeling — it's three levels, each earned by showing you can do the thing, then proven again over time. Don't trust the warm glow of having read it; prove it cold.

    Your levels on this argument

    What each one takes

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    Bronze · UnderstandRebuild the argument + what the necessary ground must be, from memory (≥80%) — the checkpoint at the end of “Understand it.”
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    Silver · part 1 · Explain itScore 8+ on Explain It Back at level 2 or 3 (the argument and its hardest objection)
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    Silver · part 2 · Objections coldAnswer all four objection drills with “nailed it”
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    Gold · part 1 · The unseen objectionFace one objection the page never drilled (below)
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    Gold · part 2 · Pick the right toolPass “which argument answers this?” — four of five, mixed with neighbouring arguments
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    Gold · part 3 · Prove it againClear this argument on 3 spaced reviews — it returns on its own
    0 of 3

    Gold can slip back to Silver if you stop turning up for the spaced reviews — real mastery is perishable, which is why it's worth something. The dashboard brings this one back when it's due.

    One more thing — be honest

    If a friend challenged you on this tomorrow, how ready are you?

    Rate yourself — then see whether your Explain It Back score backs it up. Felt-confidence and shown-confidence are not the same thing, and the gap is worth knowing before a real conversation.

    Gold gate · the unseen objection

    One you weren’t coached on

    Everything above rehearsed objections the page showed you. Here is the real test: an objection we deliberately did not drill — Russell's famous charge that the whole argument commits a logical fallacy. Reason it out cold, then reveal how the argument handles it. An honest “nailed it” is the first half of Gold.

    BR
    Bertrand Russell
    "Your argument commits the fallacy of composition. Every man who exists has a mother — but obviously the human race doesn't have a mother. Just because each part of the universe is contingent, it doesn't follow that the whole universe is."
    How the argument answers it — ported from the deep dive

    The fallacy-of-composition charge does not always hold: some properties do transfer from parts to whole (a wall built entirely of brick is itself brick). Whether contingency transfers is exactly the question in dispute — and the theist gives a reason it does: a whole composed entirely of contingent things, with no necessary member anywhere in it, has nothing within it that grounds its existence, and adding up things that each could have failed to exist does not produce something that could not have failed to exist. So this is not a blind inference from part to whole; it is a claim about what a wholly-contingent collection can and cannot explain about itself — and Russell's “mother” analogy, like any composition example, cannot settle by itself whether this particular property transfers.

    Master the Contingency Argument, then take the next one

    Nine more cases for God remain in this set after this one — each with the same path from understanding to defence. The Moral Argument is next.

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