Concept

False Dilemma

Intro

"Either science or faith. Pick one."

That is a false dilemma in eight words. The speaker has presented two options as if they were the only two, when in fact a wide middle ground exists: scientists who hold faith, people of faith who do serious science, traditions where the two have lived together for centuries.

A false dilemma is when an argument forces a choice between two options and pretends that there are no others. The textbook shape is, "Either A or B. Not A. Therefore B." That move only works if A and B really do exhaust the possibilities. If there is a C, a D, or an E hiding behind the curtain, the inference fails.

The fallacy is also called a false dichotomy, the black-or-white fallacy, or the either-or fallacy. It was catalogued by Aristotle in his Sophistical Refutations and has been a standard entry in logic textbooks ever since.

In apologetic conversation, false dilemmas are some of the most effective conversation stoppers atheists use:

"Either science or faith."
"Either reason or religion."
"Either evolution or creation."
"Either Bible literalism or Bible rejection."
"Either Christianity is the only true religion or all religions are equally valid."

Each one strips away the actual middle ground where most thoughtful Christians live. Christians can fully accept rigorous science. Christians can use reason as a primary tool. Christians can hold a range of views on Genesis and origins. There are several positions on biblical interpretation between rigid literalism and total skepticism. There is also a position called religious pluralism with degrees, not a binary.

Christians can also call out false dilemmas in atheist arguments. "Either prayer works every time or it doesn't work at all" is one. "Either God is omnipotent and good with no evil in the world, or one of those three has to go" is another. The discipline cuts both ways.

One careful note. Not every two-option choice is a false dilemma. Some real situations genuinely have only two options. The law of non-contradiction (P or not-P) is a real dichotomy. C. S. Lewis's Liar, Lord, or Lunatic argument is sometimes mistaken for a false dilemma. It is actually a careful three-option (trilemma), and the fourth option (Legend) is handled separately.

The quick reply when you spot one: "Those aren't the only two choices. Here are three others."

In full

The informal fallacy of presenting only two options as if they exhausted the possibility space when, in fact, more options exist (or the two options are not mutually exclusive). Canonical form: "Either A or B. Not A. Therefore B.", where A and B are presented as the only two possibilities, but C, D, E... are also live options. Sometimes called false dichotomy, black-or-white fallacy, bifurcation fallacy, or the either-or fallacy.

The fallacy is treated in modern informal-logic literature (Walton Informal Logic 2008; Hurley A Concise Introduction to Logic; Copi-Cohen-McMahon Introduction to Logic); the underlying rhetorical pattern is catalogued in Aristotle's Sophistical Refutations under the broader fallacy of many questions + fallacy of secundum quid.

In apologetic discourse false dilemma is one of the most rhetorically effective atheist conversation-stoppers, "either science OR faith"; "either reason OR religion"; "either evolution OR creation"; "either Bible-literalism OR Bible-rejection"; "either Christianity-is-uniquely-true OR all-religions-are-equally-valid". Each forces a choice between two extremes that excludes the rich middle-ground positions Christian scholarship and apologetic engagement actually occupy. The fallacy charge can also be deployed BY Christians AGAINST atheist arguments ("either prayer works or it doesn't"; "either God is omnipotent and good and there's no evil OR there's evil and God isn't both"), the dichotomy-debunking discipline cuts both ways.

The distinctive false-fallacy diagnostic for this entry: not all dichotomies are false dichotomies. The law of excluded middle in classical bivalent logic IS a true two-valued dichotomy (P or not-P); empirical-binary cases really are binary; some theological / philosophical disjunctions ARE genuinely exhaustive of the relevant space. Lewis's trilemma (Liar / Lord / Lunatic) is sometimes mis-engaged as if it were a false dichotomy, but it's actually a careful articulation of three options with the "Legend" fourth option separately addressed.

Canonical structure

Two common forms:

Disjunctive elimination (with false exhaustiveness)

P1: Either A or B (presented as exhaustive)
P2: Not A
C: Therefore B

The fallacy: P1 falsely claims A and B are the only options; if C, D, E are also live, the inference fails.

Forced choice (with false exclusiveness)

P1: Either A or B (presented as mutually exclusive)
P2: A is the case
C: Therefore not B

The fallacy: P1 falsely claims A and B are mutually exclusive; if both can be true, the inference fails.

How to spot it (diagnostic)

Two options presented as exhaustive. Listen for "either X or Y" + the absence of acknowledgment that other options exist.
The dichotomy obscures the actual range of positions. Many real disagreements have 3+ live positions; reducing to 2 typically eliminates the middle ground that the substantive engagement actually occupies.
Both A and B might actually be true. When the dichotomy presents options as mutually exclusive, ask whether they're really exclusive or whether they could both hold.
The dichotomy depends on a hidden premise about what the options must look like (typically the most extreme version of each). Classical theistic evolution is invisible if "evolution" means "atheistic naturalistic evolution" and "creation" means "young-earth creationism."
The rhetorical effect of the argument is exactly the forced choice. The arguer presents the choice as if it were obvious; the substantive engagement requires resisting the framing.

Common apologetic deployment

Atheist deployment against Christianity

"Either science OR faith / either reason OR religion." Standard New Atheist trope. Caricatures the relationship between scientific inquiry and religious belief as antagonistic. The middle-ground positions, methodological naturalism (compatible with theism), the historical record of Christian scientists (Galileo, Newton, Maxwell, Faraday, Mendel, Lemaître, Polkinghorne, Lennox, Collins), Plantinga's Where the Conflict Really Lies (Oxford 2011), are excluded by the framing. Treated in God of the Gaps + Methodological Naturalism + Faith and Reason.
"Either evolution OR creation." Forces choice between methodological-naturalistic Darwinism (treated as if it were the only "evolution") and young-earth creationism (treated as if it were the only "creation"). Excludes: theistic evolution (Collins, Polkinghorne); old-earth creationism; framework hypothesis; intelligent design (Behe, Meyer); Catholic teaching on evolution + special creation of the soul; mainstream Reformed-Anglican-Lutheran-Methodist positions. Treated in Theistic Evolution (queued).
"Either Bible-literalism OR Bible-rejection." Forces choice between rigid-fundamentalist literalism (treated as if it were the only Christian hermeneutic) and total dismissal. Excludes: the entire genre-sensitive hermeneutical tradition (Augustine On the Literal Interpretation of Genesis AD 415; Aquinas; Calvin; modern grammatical-historical exegesis; canonical-criticism; literary-genre-sensitive reading).
"Either Christianity-is-uniquely-true OR all-religions-are-equally-valid." Forces choice between exclusivism (treated as if it were the only Christian position) and pluralism. Excludes: inclusivism (Karl Rahner's "anonymous Christians," Catholic Lumen Gentium); Christian engagement with religious-pluralism that maintains uniqueness without dismissing other-religion-aspects; dialogical positions (Hick before his pluralist turn). Treated in Salvation of the Unevangelized.
"Either God is omnipotent and the problem of evil destroys his goodness OR God is good but limited." The classic Epicurean dilemma. Forces choice between abandoning omnipotence or abandoning omnibenevolence. Excludes: free-will defense (Plantinga God, Freedom, and Evil 1974); soul-making theodicy (Hick Evil and the God of Love 1966); Augustinian-privation-of-good theodicy; Skeptical theism (Wykstra, Bergmann, Howard-Snyder); the "this is not the best possible world" + greater-good defense. Treated in Problem of Evil / Problem of Evil, Free Will Defense.
"Either you accept all Catholic doctrine OR you reject Catholicism entirely." Forces choice between full doctrinal-assent and total dismissal. Excludes: progressive Catholic positions, ecumenical-engagement positions, "cafeteria" Catholic positions (technically problematic but real), Catholic-engaged-Protestant positions.
"Either Christianity is morally good OR Christianity is responsible for [historical atrocities]." Forces choice between idealization and dismissal. Excludes: the Christianity-condemns-cited-acts-by-its-own-internal-standards position (treated in No True Scotsman Fallacy + Christians Behaving Badly).
"Either prayer demonstrably works OR it doesn't." Forces choice between strong-empirical-confirmation and dismissal. Excludes: the position that prayer's effects are not always-empirically-detectable but the prayer-effects literature (Byrd Cardiac Prayer Study (1988) / Harris CCU Prayer Study (1999) / STEPP Mozambique Study (Brown 2010)) shows substantial signals; the position that prayer is primarily relational not transactional.

Christian counter-deployment

The Christian apologist needs to check their own false dilemmas:

"Either God exists and life has meaning OR God doesn't exist and life is meaningless." Sometimes deployed badly. The Moral Argument's force is on grounding of objective meaning, not on predicting individual atheists' subjective experience of meaning. Many atheists report meaningful lives; the Moral Argument should engage atheist humanist positions (Wielenberg, Shafer-Landau) on whether they can ground objective meaning, not on whether atheists experience meaning.
"Either you accept the resurrection literally OR you're not a Christian." Forces a choice that some progressive-Christian positions might resist; the substantive Christian apologetic argues for the resurrection on historical-evidential grounds rather than as a creedal-litmus-test forced choice.
"Either God created in 6 literal days OR Genesis is myth." The forced choice that excludes Augustine's typological reading + Aquinas's framework-hypothesis-precursor + theistic evolution. Christians who deploy this dichotomy against other Christians are committing the false dilemma against fellow believers.

How to rebut it

1. Identify the missing options

The most direct rebuttal is to enumerate the live options the dichotomy excluded. "Either science or faith, actually, methodological-naturalistic-empirical-science is compatible with theistic worldview. Galileo / Newton / Maxwell / Maxwell / Mendel / Lemaître / Polkinghorne / Collins / Lennox are all Christians whose science is fully scientific." Or: "Either evolution or creation, theistic evolution is a coherent position; intelligent design within an old-earth framework is another; framework hypothesis is another; old-earth-progressive-creation is another." Naming the missing options breaks the framing.

2. Show that the options are not actually exclusive

Many false dilemmas treat compatible options as if they were mutually exclusive. "Either God created or the Big Bang happened, both can be true. The Big Bang is the mechanism of creation; God is the cause of the universe-with-a-beginning." Or: "Either evolution or design, theistic evolution affirms both: God is the designer who creates through the evolutionary process." Showing compatibility breaks the exclusiveness assumption.

3. Demand engagement with the actual middle-ground positions

The proper response to a false-dilemma move is: "You've reduced the question to two extremes. The substantive Christian position is X (the middle-ground that the dichotomy excluded). Engage X." This forces the conversation onto the actual position rather than the strawmanned-extreme. Often combined with Straw Man charge, false dilemma is structurally a strawmanning move that reduces the position to one extreme of a forced choice.

False-fallacy examples

Cases where what looks like false dilemma is NOT actually fallacious, the dichotomy is genuine, exhaustive, and the choice is real.

The law of excluded middle (P or not-P). In classical bivalent logic, every meaningful proposition is either true or false. Why this isn't false dilemma: the dichotomy is logically necessary in classical logic; the "third option" doesn't exist for genuine propositions. Some philosophical positions (intuitionist logic, some many-valued logics) reject excluded middle for certain domains, but the classical case is logically exhaustive. The false-dilemma fallacy applies to empirical / decision-theoretic / argumentative dichotomies, not to logical-form dichotomies.
Empirical binary cases that really are binary. "Either you're pregnant or you're not", pregnancy is biologically binary at any moment in time. "Either Caesar crossed the Rubicon in January 49 BC or he didn't." Why this isn't false dilemma: the proposition is truly two-valued; no third option exists. The false-dilemma fallacy requires that other options actually exist.
Theological dichotomies that ARE genuinely exhaustive. "Either Christ rose from the dead in space-time history or he didn't", this is the historical-resurrection question with two valid alternatives. "Either there is a being than which no greater can be conceived (existing in reality) or there isn't", the ontological-argument's structure. Why this isn't false dilemma: the dichotomy is genuinely exhaustive of the relevant ontological space.
Lewis's Trilemma (Liar / Lord / Lunatic), explicitly a TRIchotomy, not a dichotomy. Lewis (Mere Christianity, 1952) presents three options and engages each. The "Legend" fourth option (Christ-mythicism / late-Gospel-development) is separately addressed by historical-Jesus scholarship (Bauckham Jesus and the Eyewitnesses 2006; Hurtado Lord Jesus Christ 2003; pre-Pauline-creed dating of 1 Cor 15:3-7 to AD 30s). Why this isn't false dilemma: Lewis explicitly enumerates three options + the "Legend" alternative is anticipated and addressed in subsequent scholarship. The structured argument with explicit treatment of alternatives is not the fallacy; collapsing the trilemma to a dichotomy by ignoring options would be.
Methodological-decision dichotomies in practical contexts. "Either we publish this paper or we don't", the practical-decision context can present truly two-valued choices. Why this isn't false dilemma: practical-decision contexts often genuinely require yes/no decisions on specific actions.
Rhetorical-dichotomies that the speaker explicitly acknowledges aren't exhaustive. When a speaker says "let's set aside the nuanced middle ground for the moment and focus on the two extremes" they may be using a methodological simplification, not a false-dilemma claim. Why this isn't false dilemma: the methodological framing is honest about scope.
Bivalent-evidentiary contexts. When a court must determine guilt vs not-guilt (in a bivalent legal system), the dichotomy is structurally given by the legal framework. Not false dilemma; methodological-binary.

The diagnostic test: does the dichotomy exhaust the relevant possibility space? If yes, it's a true dichotomy; if no, false dilemma. The work is engaging the actual logical / empirical / metaphysical structure of the contested space.

When it's actually fallacious

Clear cases where the false dilemma charge sticks:

"Either science or faith / either reason or religion." Excludes the substantial middle-ground occupied by methodological naturalism, the historical record of Christian scientists, and the entire faith-and-reason tradition (Augustine, Aquinas, Plantinga, Polkinghorne, Lennox, Craig). Treated in God of the Gaps / Methodological Naturalism / Faith and Reason.
"Either evolution or creation." Excludes theistic evolution, framework hypothesis, intelligent design (which doesn't take a single position on evolutionary mechanisms), old-earth creationism. Treated in Theistic Evolution / Origins and Cosmology.
"Either Bible-literalism or Bible-rejection." Excludes the entire genre-sensitive hermeneutical tradition (Augustine On the Literal Interpretation of Genesis; Aquinas; Calvin; modern grammatical-historical exegesis).
"Either Christianity is uniquely true or all religions are equally valid." Excludes inclusivism and dialogical positions. Treated in Salvation of the Unevangelized.
"Either God is omnipotent and there's no evil OR God is good but limited." The classic Epicurean dilemma. Excludes free-will defense, soul-making theodicy, privation-of-good theodicy, skeptical theism, greater-good defense. Treated in Problem of Evil.
"Either you accept all Catholic doctrine or you reject Catholicism entirely." Excludes intermediate positions across Catholicism's range.
"Either prayer demonstrably works or it doesn't." Excludes the position that prayer's effects show statistically-detectable signals in some studies but not others; the position that prayer is primarily relational. Treated in Byrd Cardiac Prayer Study (1988) / Harris CCU Prayer Study (1999) / STEPP Mozambique Study (Brown 2010).
Christian counter-instances: "Either you accept the resurrection literally or you're not a Christian" / "Either God created in 6 literal days or Genesis is myth", false dilemmas Christians sometimes deploy against fellow believers; the substantive position requires engaging the middle ground.

Christian scholarly resources

Aristotle, Sophistical Refutations (~350 BC). Catalogues the parent rhetorical patterns.
Douglas Walton, Informal Logic 2nd ed. (Cambridge, 2008). Standard taxonomic treatment.
Patrick Hurley, A Concise Introduction to Logic (Cengage, multiple eds.). Textbook treatment.
Irving Copi, Carl Cohen, & Kenneth McMahon, Introduction to Logic (Routledge, 14th ed.). Alternate canonical textbook.
Norman Geisler & Ronald Brooks, Come, Let Us Reason: An Introduction to Logical Thinking (Baker, 1990). Christian-apologetic logic primer.
C. S. Lewis, Mere Christianity (Macmillan, 1952). The Trilemma, careful articulation that anticipates additional options.
John Lennox, God's Undertaker: Has Science Buried God? (Lion, 2007); Gunning for God (Lion, 2011). Engages the science-vs-faith false dilemma extensively.
Alvin Plantinga, Where the Conflict Really Lies: Science, Religion, and Naturalism (Oxford, 2011). The science-and-religion middle-ground engaged formally.
John Polkinghorne, Belief in God in an Age of Science (Yale, 1998); Science and Theology (Fortress, 1998). Cambridge mathematical-physicist-theologian's middle-ground engagement.
Francis Collins, The Language of God (Free Press, 2006). Christian theistic-evolutionary engagement; head of Human Genome Project.
Stephen Meyer, Return of the God Hypothesis (HarperOne, 2021). Intelligent-design middle position between strict-Darwinism and young-earth-creationism.
Karl Rahner, "Christianity and the Non-Christian Religions" in Theological Investigations vol. 5 (1966). Inclusivist position on religious-pluralism middle ground.
Lesslie Newbigin, The Gospel in a Pluralist Society (Eerdmans, 1989). Christian engagement with pluralism without exclusivist or pluralist extremes.