Marginalia
∴  25 arguments

The Argument Library

The arguments that changed minds — set out as numbered premises and a conclusion, with the strongest objections. Learn them the way debaters do: know the steps, know where they can be attacked.

Plato · Euthyphro 10a

The Euthyphro Dilemma

Is the pious loved by the gods because it is pious, or is it pious because the gods love it? Translated into monotheism — is something good because God commands it, or does God command it because it is good?

  1. Either the good is good because God commands it, or God commands it because it is good.
  2. If the good is good because God commands it, then goodness is arbitrary — had God commanded cruelty, cruelty would be good.
  3. If God commands it because it is good, then goodness is a standard independent of God’s will.
  4. Morality cannot be arbitrary.

∴ Goodness is independent of divine command — so ethics can (and must) be investigated in its own right.

2 objections
  • Divine command theorists (e.g. Robert Adams): A false dilemma. Goodness is grounded in God’s nature, which is essentially good; God’s commands flow from that nature, so they are neither arbitrary nor answerable to an external standard.
  • Critics of that reply: Then we must ask whether God’s nature is good because it is God’s, or because it meets the standard of goodness — and the dilemma returns one level up.

Still the founding argument for the autonomy of ethics; nearly every debate on religion and morality starts here.

Plato · Republic II, 359c–360d

The Ring of Gyges

Glaucon’s challenge — if you could act unseen and unpunished, would you still be just? If not, justice is valued only for its consequences.

  1. A shepherd finds a ring that makes him invisible; he seduces the queen, kills the king, and seizes the throne.
  2. Give one such ring to a just man and one to an unjust man, and they would behave the same.
  3. So people are just only because they fear being caught.
  4. What is valued only for its consequences is not valued for itself.

∴ Justice is not a good in itself but a compromise among the weak — unless Socrates can show that the just life is better even when no one sees.

2 objections
  • Socrates (the rest of the Republic): Injustice is a sickness of the soul — civil war among its parts. The tyrant who has everything he wants is the most enslaved and miserable of men.
  • Modern psychologists: Experiments on anonymity show that many people do behave worse unobserved — but many do not, which suggests character is not mere fear of punishment.
Aristotle · Nicomachean Ethics I.7

The Function Argument

The human good is found by asking what is distinctive of human beings — as the good of a flute-player lies in playing well.

  1. The good of anything that has a function lies in performing that function well.
  2. Human beings have a function — something they do as human beings.
  3. Life is shared with plants and perception with animals; what is distinctive of humans is activity of the soul in accordance with reason.
  4. To perform that activity well is to perform it in accordance with virtue.

∴ The human good is activity of the soul in accordance with virtue, over a complete life.

2 objections
  • Bernard Williams and others: What is distinctive need not be what is good: humans are also distinctively capable of cruelty and lying.
  • Existentialists: Humans have no pre-given function — existence precedes essence.
Aristotle · Physics VIII; Metaphysics XII

The Unmoved Mover

Eternal motion requires an eternal cause that is itself unmoved — pure actuality, which moves the heavens as an object of love.

  1. There is motion in the world, and motion is eternal.
  2. Whatever is moved is moved by something.
  3. An infinite chain of moved movers explains nothing.
  4. So there must be a first mover that is not itself moved.
  5. Such a mover must be pure actuality, without potentiality, and so immaterial.

∴ There exists an eternal, immaterial, unmoved mover — thought thinking itself — on which the heavens and nature depend.

2 objections
  • Hume and Kant: Causal reasoning is valid only within experience; extending it to a first cause of everything oversteps its limits.
  • Modern physics: Inertia shows that motion does not require a continuous mover; the premise “whatever is moved is moved by another” fails.
Epicurus · Letter to Menoeceus 124–125

Death Is Nothing to Us

Where death is, I am not; where I am, death is not. So death cannot harm me, and fearing it is irrational.

  1. Something is bad for a person only if they can experience it.
  2. When death comes, we no longer exist to experience anything.
  3. So death is not experienced by the one who dies.

∴ Death is nothing to us, and it is irrational to fear it.

2 objections
  • Thomas Nagel ("Death", 1970): Some harms are not experienced — being betrayed behind your back. Death harms us by depriving us of the goods we would otherwise have had.
  • Ivan Ilyich (Tolstoy): The syllogism is valid for Caius, but no argument makes death believable when it is your own.
Lucretius · De Rerum Natura III.972–977

The Symmetry Argument

The eternity after our death is a mirror of the eternity before our birth — and the first never troubled us.

  1. We do not regret the infinite time before we were born.
  2. The time after our death is relevantly like the time before our birth — in both we do not exist.
  3. We should treat relevantly similar things alike.

∴ We should not fear or regret the time after our death.

2 objections
  • Thomas Nagel and Frederik Kaufman: The cases are asymmetric: we could not have been born much earlier and still been ourselves, but we could have lived longer.
  • Derek Parfit: We are biased toward the future; whether that bias is rational is the real question.
Gautama Buddha · Anattalakkhaṇa Sutta (SN 22.59)

The Argument for Not-Self

Examine each of the five aggregates that make up a person; none is permanent, none is under our control — so none is a self.

  1. A self, if there were one, would be permanent and would be under our control.
  2. A person consists of five aggregates — form, feeling, perception, formations, consciousness.
  3. Each aggregate is impermanent; and none can be commanded (“let my body be thus”).
  4. There is nothing in a person over and above the aggregates.

∴ There is no self — “this is not mine, this I am not, this is not my self.”

2 objections
  • Nyāya and Vedānta: Memory and the unity of experience require a single persisting subject who remembers and synthesizes.
  • Śaṅkara: The aggregates are objects of awareness; the witness that is aware of them is never itself an object — that witness is the Self.

The longest-running debate in Indian philosophy; Hume and Parfit reached strikingly similar conclusions.

Parmenides · Zeno of Elea, reported in Aristotle, Physics VI.9

Achilles and the Tortoise

Zeno’s defence of Parmenides — if space is infinitely divisible, swift Achilles can never overtake the slow tortoise.

  1. The tortoise starts ahead of Achilles.
  2. To overtake it, Achilles must first reach the point where the tortoise was.
  3. By then the tortoise has moved a little further; Achilles must reach that point, and so on, infinitely.
  4. No one can complete infinitely many tasks in a finite time.

∴ Achilles never overtakes the tortoise — motion is impossible, as Parmenides taught.

2 objections
  • Aristotle: Distance is only potentially infinitely divided; time is divided in the same way, so infinitely many potential intervals can be crossed in finite time.
  • Modern mathematics: An infinite series can have a finite sum (1/2 + 1/4 + 1/8 + … = 1); the paradox trades on the assumption that it cannot.
Søren Kierkegaard · Fear and Trembling, Problema I

Abraham's Dilemma

If the ethical is the highest, Abraham is a murderer; if he is the father of faith, there must be something higher than ethics.

  1. Abraham is honoured as the father of faith.
  2. Abraham was willing to kill his innocent son at God’s command.
  3. If the ethical (the universal) is the highest, such willingness is simply murderous.

∴ Either faith involves a “teleological suspension of the ethical” — or Abraham is lost.

2 objections
  • Kant: Abraham should have answered that he could never be certain the voice was God’s, but he could be certain that killing his son was wrong.
  • Levinas: The most important moment is when Abraham hears the second voice — the one that stops the knife.
Fyodor Dostoevsky · The Brothers Karamazov, Book V ch. 4

Returning the Ticket

Ivan Karamazov’s rebellion — no future harmony can justify the suffering of innocent children.

  1. Innocent children suffer horribly in this world.
  2. A future harmony in which all is explained and forgiven might be promised.
  3. But no one has the right to forgive the torturer on behalf of the tortured child.
  4. A harmony built on unatoned innocent suffering is not worth its price.

∴ Even if God exists and harmony comes, I respectfully return my ticket.

2 objections
  • Alyosha / Zosima: There is one who can forgive everything, because he gave his innocent blood for all — Christ. The answer is active love, not argument.
  • Theodicists: Ivan judges God by a finite moral sense that cannot see the whole.

Less an argument against God’s existence than a moral refusal of every theodicy — the strongest form of the problem of evil in literature.

Fyodor Dostoevsky · The Brothers Karamazov, Book V ch. 5

The Grand Inquisitor's Argument

Human beings cannot bear the freedom Christ offered; they want bread, miracle, mystery and authority — so the Church has rightly taken freedom away.

  1. Christ refused the devil’s three temptations — bread, miracle, power — to leave humanity free.
  2. Most human beings are weak and cannot bear free choice of good and evil.
  3. Freedom therefore makes most people miserable.
  4. Love for humanity means giving them what they can bear — bread and authority.

∴ “We have corrected your deed” — rulers who relieve people of freedom serve them better than Christ did.

2 objections
  • Christ's silent kiss: The Inquisitor’s love is contempt in disguise; to deny human freedom is to deny human dignity.
  • Liberal theory: Paternalism assumes the rulers are wiser and better than the ruled — the premise every tyranny claims.
Friedrich Nietzsche · On the Genealogy of Morality, I §§10–13

The Slave Revolt in Morality

“Good and evil” is the creation of the resentful weak, who invented values to take imaginary revenge on the strong.

  1. Originally “good” meant the noble and powerful, and “bad” meant the common and low.
  2. The oppressed, unable to take revenge in deeds, took it in values — calling the strong “evil”.
  3. They then called themselves “good” — the meek, the humble, the patient.
  4. This revaluation triumphed in Christianity.

∴ Our morality of “good and evil” is born of ressentiment — and its value must be questioned.

3 objections
  • Historians: The genealogy is speculative history with little evidence.
  • The genetic fallacy: Even if a value had disreputable origins, that does not show it is invalid.
  • Nietzsche's defenders: The point is not refutation but loosening — showing that values have a history makes us ask what they are worth.
Albert Camus · The Myth of Sisyphus

The Absurd and Suicide

If life has no ultimate meaning, should we kill ourselves? Camus argues that suicide, like religious hope, evades the absurd rather than answering it.

  1. The absurd is the confrontation between our demand for meaning and the world’s silence.
  2. The absurd exists only so long as both terms — the human and the world — exist.
  3. Suicide abolishes one term; the leap of faith denies the other. Both escape rather than face it.
  4. Lucidity requires keeping the contradiction alive.

∴ Live without appeal — in revolt, freedom and passion. One must imagine Sisyphus happy.

2 objections
  • Sartre and critics: Why should lucidity be the supreme value? Camus smuggles in an ethic of honesty he cannot ground.
  • Religious critics: The absurd presupposes a longing for meaning that only makes sense if meaning exists.
Jean-Paul Sartre · Existentialism Is a Humanism (1945)

The Paper-Knife (Existence Precedes Essence)

A manufactured object is made according to a prior concept; if there is no God, human beings have no such concept — we exist first and define ourselves after.

  1. An artisan makes a paper-knife according to a concept of what it is for; its essence precedes its existence.
  2. If God created humans, human nature would be such a concept in God’s mind.
  3. There is no God.

∴ For human beings existence precedes essence — we are nothing but what we make of ourselves, and wholly responsible for it.

2 objections
  • Heidegger: Reversing a metaphysical statement remains a metaphysical statement.
  • Biologists and psychologists: Humans have an evolved nature — temperaments, instincts, limits — that we do not choose.
Ādi Śaṅkara · Brahmasūtra-bhāṣya, Introduction (Adhyāsa-bhāṣya)

The Rope and the Snake (Superimposition)

The world appears as many things through superimposition on the one Brahman, as a snake appears in a rope at dusk.

  1. In dim light, a rope can be mistaken for a snake — the error is real as an experience, though the snake is not.
  2. When the light comes, the snake is sublated; the rope was always there.
  3. Likewise we superimpose the body, the ego and the world on the Self, and the Self’s consciousness on them.
  4. Knowledge of Brahman, awakened by the Upanishads, sublates the world of multiplicity as light sublates the snake.

∴ Brahman alone is ultimately real; the world is mithyā — neither real nor unreal — and the self is Brahman.

2 objections
  • Rāmānuja: Every error has a real basis; there is no knowledge without an object and no error without someone who errs — and Brahman cannot be ignorant.
  • Dualists (Madhva): Difference is perceived directly; to call it illusory contradicts perception, the strongest means of knowledge.
Rāmānuja · Śrī Bhāṣya 1.1.1 ("the seven untenabilities")

Where Does Ignorance Reside?

Rāmānuja’s central objection to Advaita — the ignorance (avidyā) that supposedly produces the world has no possible location.

  1. If the world is produced by ignorance, that ignorance must belong to someone.
  2. It cannot belong to Brahman, which is pure knowledge and self-luminous.
  3. It cannot belong to the individual soul, since the individual soul is itself supposed to be a product of ignorance.
  4. There is nothing else for it to belong to.

∴ The Advaita doctrine of cosmic ignorance is untenable; souls and world are real modes of Brahman.

2 objections
  • Vācaspati Miśra (Bhāmatī school): Ignorance belongs to the individual souls, and souls arise from ignorance in a beginningless cycle — like seed and sprout.
  • Advaitins generally: To ask for ignorance’s origin is to ask from within the dream when the dream began; the question presupposes the ignorance it questions.
René Descartes · Meditations II; Discourse IV

The Cogito

Whatever else an all-powerful deceiver could make me doubt, he cannot make me doubt that I exist while I am thinking.

  1. I can doubt anything that a powerful deceiver could make me falsely believe.
  2. If I am deceived, I must exist in order to be deceived.
  3. Doubting is a form of thinking.

∴ I think, therefore I am — my existence as a thinking thing is certain.

3 objections
  • Lichtenberg: We should only say “it thinks”, as we say “it rains”; the “I” is assumed, not proved.
  • Hume: Introspection finds only perceptions, never a perceiving self.
  • Gassendi: Why not “I walk, therefore I am”? (Descartes: because I can doubt that I walk, but not that I seem to.)
René Descartes · Meditations V (after Anselm, Proslogion 2)

The Ontological Argument

The idea of a supremely perfect being includes existence, as the idea of a triangle includes three angles — so God exists.

  1. I have the idea of a supremely perfect being.
  2. Existence is a perfection.
  3. A supremely perfect being lacking existence would lack a perfection — a contradiction.

∴ A supremely perfect being — God — necessarily exists.

2 objections
  • Gaunilo (to Anselm): By the same reasoning one could prove the existence of a perfect island.
  • Kant: Existence is not a real predicate. A hundred real thalers contain no more than a hundred possible ones; existence adds nothing to a concept.
David Hume · Enquiry IV; Treatise 1.3.6

The Problem of Induction

No argument can justify the inference from past to future without assuming the very thing to be proved.

  1. All inferences from experience assume that the future will resemble the past.
  2. This assumption cannot be proved demonstratively — its denial is not contradictory.
  3. It cannot be proved by experience without circularity — that would use induction to justify induction.

∴ Inductive inference is not founded on reason; we rely on it by custom or habit.

3 objections
  • Kant: Causality is a category the mind imposes on all possible experience — necessity is supplied a priori.
  • Popper: Science does not need induction; it proceeds by bold conjecture and attempted refutation.
  • Strawson: Asking for a justification of induction is like asking whether the law is legal — induction is part of what “reasonable” means.
David Hume · Enquiry X

Of Miracles

A miracle violates a law of nature, established by uniform experience; testimony can never outweigh that experience.

  1. A wise person proportions belief to the evidence.
  2. A miracle is a violation of a law of nature, and the laws of nature rest on uniform, unalterable experience.
  3. Testimony for a miracle is evidence of a much weaker kind — and people love wonder, and religious zeal corrupts honesty.
  4. It is always more probable that testimony is false than that a law of nature was violated.

∴ No testimony is sufficient to establish a miracle, unless its falsehood would be more miraculous than the fact it claims.

2 objections
  • Richard Price and later Bayesians: Improbable events happen and are rightly believed on good testimony (a lottery result); Hume’s argument would forbid believing in any sufficiently unusual event.
  • C. S. Lewis: Hume assumes experience against miracles is uniform — which is just what is in question.
David Hume · Treatise 3.1.1.27

Hume's Law — No Ought from an Is

From premises that only say what is the case, nothing follows about what ought to be.

  1. Valid deductive conclusions contain nothing not already in the premises.
  2. Purely factual premises contain only “is” and “is not”.
  3. An “ought” expresses a new relation not contained in any “is”.

∴ No set of purely factual premises can entail a moral conclusion.

2 objections
  • John Searle ("How to Derive 'Ought' from 'Is'", 1964): Institutional facts carry obligations: “Jones promised to pay” entails “Jones ought to pay”.
  • Aristotelian naturalists (Philippa Foot): Facts about what living things need to flourish are already evaluative; a wolf that doesn’t hunt with the pack is defective.
David Hume · Dialogues concerning Natural Religion X

Epicurus's Old Questions (Problem of Evil)

If God is all-powerful and all-good, why is there evil? Philo restates the ancient argument.

  1. If God is willing but not able to prevent evil, he is impotent.
  2. If God is able but not willing, he is malevolent.
  3. If God is both able and willing, there would be no evil.
  4. There is evil.

∴ God is not both all-powerful and all-good.

3 objections
  • Free will defence (Augustine, Plantinga): A world with free creatures who can choose evil is better than one of automata; moral evil is the price of freedom.
  • Soul-making theodicy (John Hick): Suffering is necessary for the growth of virtue — courage, compassion, patience.
  • Ivan Karamazov: Even if a harmony is reached, it is not worth one tortured child — “I return the ticket.”
David Hume · Dialogues concerning Natural Religion II–VIII

Philo against the Design Argument

The analogy between the world and a machine is too weak to establish an intelligent, perfect, single designer.

  1. The design argument reasons from the order of the universe to a designer, by analogy with human artifacts.
  2. Analogies are only as strong as the similarity of the cases, and we have no experience of the making of worlds.
  3. The world is as much like an animal or vegetable, which generate order themselves, as like a machine.
  4. Even granting a designer, nothing shows it is one, perfect, infinite or still alive.

∴ The design argument establishes at most that the cause of order bears “some remote analogy to human intelligence”.

2 objections
  • William Paley (1802): A watch found on a heath proves a watchmaker; the eye is far more intricate than any watch.
  • Fine-tuning advocates: The physical constants fall in a narrow life-permitting range — a new form of the argument Hume did not consider.

Darwin’s natural selection (1859) supplied the naturalistic explanation of biological order that Philo could only gesture at.

Immanuel Kant · Groundwork 4:422

The False Promise (Categorical Imperative)

A maxim of lying to get money cannot be willed as a universal law without destroying itself.

  1. Act only on a maxim you can at the same time will to become a universal law.
  2. Maxim — “when I need money, I will borrow it and promise to repay, though I know I never will.”
  3. If everyone acted on this maxim, no one would believe promises.
  4. Then promising, and so my false promise, would be impossible.

∴ The maxim contradicts itself when universalized; making false promises is wrong.

2 objections
  • Hegel: Empty formalism — the test checks only consistency, and any action can pass if the maxim is described cleverly enough.
  • Consequentialists: The real reason false promises are wrong is the harm they cause; universalizability adds nothing.
Gottfried Wilhelm Leibniz · Theodicy (1710); Monadology §§53–55

The Best of All Possible Worlds

A perfect God must have created the best possible world — so the evils in it must be necessary to the best whole.

  1. God is omnipotent, omniscient and perfectly good.
  2. God had sufficient reason to create one world rather than another.
  3. A perfectly good and wise being chooses the best.

∴ This world, with all its evils, is the best of all possible worlds.

2 objections
  • Voltaire (Candide, 1759): Say that to the victims of the Lisbon earthquake — Pangloss’s optimism is a mockery of suffering.
  • Schopenhauer: This is the worst of all possible worlds — any worse and it could not continue to exist.