Argument and Thought Experiment Catalog

A reference catalog of canonical philosophical arguments, paradoxes, and thought experiments by name. Each entry gives the originator and year, a compressed statement of the structure (premises and conclusion or the scenario), the standard responses, and modern formulations. Use this when you need to cite “the Gettier case” or “the violinist” by source rather than re-explain the dialectic.


I. Arguments for the Existence of God

ArgumentOriginator + yearStructureStandard responsesModern formulations
Ontological (Anselmian)Anselm, Proslogion 1078God = “that than which nothing greater can be conceived”; if God existed only in the understanding, a greater being would be conceivable (one that also existed in reality); contradiction; so God exists in realityGaunilo’s “Perfect Island” reductio; Kant 1781 — existence is not a real predicatePlantinga 1974 (The Nature of Necessity) modal-logic version: possibly God exists ⟹ God exists in some world ⟹ exists in all (necessary being)
Cartesian ontologicalDescartes, Meditation V 1641The idea of a supremely perfect being includes existence the way the idea of a triangle includes three sidesHume — conceivability of non-existence; Kant’s predicate critique(Largely subsumed into modal versions)
Gödel’s ontologicalGödel notebooks, c.1970; pub. Sobel 1987Modal logic from positive properties: a being having all positive properties exists necessarilyModal collapse: all truths become necessary (Sobel 1987)Anderson 1990 modification avoids collapse; Benzmüller-Paleo 2014 machine-verified
Cosmological — First WayAquinas, Summa Theol. I q.2 a.3 (1265)Things move; what moves is moved by another; regress impossible; so a first unmoved moverWhy no infinite regress? Why call the first cause God?Aquinas’s full Five Ways; Feser 2017 retrieval
Kalām cosmologicalal-Ghazali 1095; Craig 1979Whatever begins to exist has a cause; the universe began to exist; so the universe has a causeQuantum vacuum events; “begins” misusedCraig & Sinclair 2009 use Big Bang and Hilbert’s Hotel paradoxes
Leibnizian (from contingency)Leibniz, Monadology 1714Every contingent fact has a sufficient reason; the existence of the contingent universe needs a non-contingent reason — GodPSR may be false; brute-fact universePruss 2006; Koons 1997
Teleological (design)Cicero; Paley 1802 (Natural Theology)A watch implies a watchmaker; nature shows comparable design; so nature has a designerDarwin 1859; Hume 1779 — could be many gods, or a bumbling oneBehe 1996 (intelligent design); largely abandoned
Fine-tuningCarter 1974; Leslie 1989; Collins 2009Physical constants lie in a narrow life-permitting range; chance and necessity fail; design is the best explanationMultiverse; weak anthropic principle; what’s the right reference class?Collins 2009; Hawthorne & Isaacs 2018 Bayesian version
Moral argumentKant, Critique of Practical Reason 1788; C. S. Lewis 1952 (Mere Christianity); Craig 1989Objective moral values exist; they require a transcendent ground; so God existsMoral realism without theism (Wielenberg, Enoch); evolutionary debunkingCraig & Sinnott-Armstrong 2004 debate
Pascal’s WagerPascal, Pensées §233 (1670)Decision-theoretic: belief dominates given infinite payoff; so wager for GodMany-gods objection; cannot will belief; mixed strategiesHájek 2003 dominance analyses

II. Arguments Against the Existence of God

ArgumentOriginator + yearStructureStandard responsesModern formulations
Logical problem of evilEpicurus (attrib.); Mackie 1955 (“Evil and Omnipotence”)(1) Omnipotent + omniscient + omnibenevolent God is incompatible with any evilPlantinga 1974 free-will defense — God’s creating free creatures may make some evil unavoidable(Most philosophers grant Plantinga’s defense logically succeeds)
Evidential problem of evilRowe 1979 (“The Problem of Evil and Some Varieties of Atheism”)Gratuitous evils (e.g., fawn dying in unobserved forest fire) make theism improbableSkeptical theism (Bergmann 2001) — we can’t see the goods God might be securingDraper 1989 (Bayesian); Rowe 1996 reply
Skeptical theismWykstra 1984; Bergmann 2001(Defense) We have no reason to think we can detect God’s reasonsImplies global skepticism about God’s communications and morality (Almeida-Oppy 2003)Bergmann; Howard-Snyder
TheodiciesAugustine (privatio boni); Irenaeus / Hick 1966 (soul-making); Plantinga 1974 (free-will defense); Swinburne 1998Various positive accounts of why God permits evilEach addresses only a subset of evilsPlantinga; Hick; Swinburne; Stump 2010
Divine hiddennessSchellenberg 1993 (Divine Hiddenness and Human Reason)A perfectly loving God would not permit non-resistant non-belief; such non-belief occurs; so no such GodReplies in terms of soul-making, free responseSchellenberg 2015 update

III. Epistemology

CaseOriginator + yearStructureResponsesModern formulations
Gettier casesGettier 1963 (“Is Justified True Belief Knowledge?“)Smith-Jones / Brown-in-Barcelona: justified true belief that fails to be knowledge because the truth obtains via a non-connected route”No false lemmas” (Clark); causal connection (Goldman 1967); safety (Sosa, Williamson); sensitivity (Nozick)Pritchard 2005 (anti-luck); Williamson 2000 (knowledge-first)
Fake-barn / Barn-FaçadeGoldman 1976 (attr. Ginet)Henry sees a real barn in a county of fake-barn façades; the belief is true and justified but intuitively not knowledgeSosa’s safety; Pritchard’s modal accountSosa 2007; Pritchard
Brain-in-a-vatPutnam, Reason, Truth and History 1981If I were a BIV stimulated by computers, “I am a BIV” said by me would be false (semantic externalism); so I am not a BIVReplies require accepting Putnam’s externalism; Cartesian skeptic restates in non-semantic termsPryor’s “dogmatism”; Wright transmission failure
Twin EarthPutnam, “The Meaning of ‘Meaning’” 1975On Twin Earth water = XYZ; my and twin-me’s narrow “water”-thoughts differ in reference, so meaning is not in the headInternalist replies (Searle); narrow content (Fodor)Burge 1979 social externalism; foundation for externalism in philosophy of mind
Cartesian demonDescartes, Meditation I 1641A powerful deceiver could be making me wrong about everything except cogitoMoorean response (Moore 1939); reliabilism; contextualismStroud 1984 sustained version
Moorean responseMoore, “Proof of an External World” 1939Here is one hand, here is another, so there are external objectsBegs the question against skeptic; underestimates skeptical scenariosPryor 2000 dogmatism; Wright 2004
Closure paradoxDretske 1970; Nozick 1981I know I have hands; “I have hands” entails “I am not a handless BIV”; do I therefore know I am not a BIV?Reject closure (Nozick, Dretske); reject skepticism (Moore)DeRose 1995 contextualist resolution
Lottery paradoxKyburg 1961I justifiedly believe of each ticket that it will lose; conjoining gives belief in a contradictionReject conjunction; subjective probabilityHawthorne 2004
Preface paradoxMakinson 1965Author rationally believes each claim in the book yet acknowledges in the preface that some must be falseThreatens conjunctive belief closureChristensen 2004

IV. Ethics and Decision Theory

CaseOriginator + yearStructureResponsesModern formulations
Trolley problem (Switch)Foot 1967 (“The Problem of Abortion and the Doctrine of Double Effect”)Divert trolley to kill one to save five — permissible? Most: yesDoctrine of Double Effect (Aquinas); Kantian use-as-mere-meansEdmonds 2013 (Would You Kill the Fat Man?); empirical moral psychology
Trolley problem (Footbridge)Thomson 1976 (“Killing, Letting Die, and the Trolley Problem”)Push large stranger off bridge to stop trolley — permissible? Most: noPersonal-force; doing vs allowing; Kantian use-as-meansGreene 2008 dual-process moral psychology
Loop caseThomson 1985Side track loops back so the one is needed (not merely foreseen) to stop the trolleyTests whether merely-foreseen-vs-intended is doing workThomson 2008 (later argued switch is impermissible too)
ViolinistThomson 1971 (“A Defense of Abortion”)You wake hooked to a famous violinist who will die unless you stay connected nine months; permissible to unplug?Disambiguates “right to life” from “right to use another’s body”Boonin 2002 defense; Beckwith 1992 critique
Drowning childSinger 1972 (“Famine, Affluence, and Morality”)If you can save a drowning child at small cost, you must; distant strangers are morally similarDemandingness; partial duties; agent-centered optionsUnger 1996 (Living High and Letting Die); MacAskill effective altruism
Survival lotteryHarris 1975Random selection of one person to be killed for organs to save several — should we adopt?Distinct kind of killing; trust collapse; bodily integrity(Used to probe utilitarianism)
Experience machineNozick, Anarchy, State, and Utopia 1974 §IIIWould you plug in for guaranteed pleasant simulated experience? Most: noRefutes hedonism about well-beingCrisp 2006 reply; Lin 2016
Pleasure receptacleNozick 1989 (Examined Life)Two creatures with same pleasure; one is rich in achievementBears on objective list theoriesCrisp; Sumner
Repugnant conclusionParfit, Reasons and Persons §17 (1984)For any population A with high welfare, there is some Z with low-positive welfare but more people that is better in totalPerson-affecting principles; critical-level utilitarianismArrhenius 2000s population axiology
Non-identity problemParfit 1984 §16Choosing a policy that makes people exist who could not otherwise — they aren’t harmedBears on climate, reproductionBoonin 2014
Mere additionParfit 1984Adding lives barely worth living seems neutral, yet generates the repugnant conclusionArrhenius 2000 impossibility theorems
Prisoner’s DilemmaFlood-Dresher 1950; Tucker 1950 (named)Two prisoners; each defects rationally yet jointly worseIterated PD with tit-for-tat (Axelrod 1984); evolution of cooperationSkyrms 1996; Bicchieri 2006
Newcomb’s problemNozick 1969 (attrib. Newcomb)One-box for 1k + whatever was predicted; CDT vs EDT divergeCausal vs evidential decision theory; FDT (Yudkowsky 2017)Joyce 1999; Ahmed 2014
Original position / Veil of IgnoranceRawls, A Theory of Justice 1971Behind a veil hiding personal attributes, rational agents would choose two principles: liberty + differenceNozick: ahistorical; Sandel: thin self; communitarian critiqueScanlon 1998 contractualist relative; Rawls 1993 reformulation
Wilt ChamberlainNozick 1974Voluntary transactions disrupt patterned distributions of justiceReply: regulate transactions, not patternCohen 1995 critique

V. Mind, Language, and Persons

CaseOriginator + yearStructureResponsesModern formulations
Chinese RoomSearle 1980 (“Minds, Brains, and Programs”)Person in a room follows rules to manipulate Chinese symbols, passes the Turing test, but understands nothing; so syntax ≠ semantics; strong AI falseSystems reply; robot reply; brain-simulator replySearle 1992; Block 1995; reignited by LLMs
Turing testTuring 1950 (“Computing Machinery and Intelligence”)If a machine’s textual responses are indistinguishable from a human’s, it should be counted as thinkingSearle’s Chinese Room; behaviorism in disguiseLevesque 2017 Winograd schemas; large-language-model debate
BatNagel 1974 (“What Is It Like to Be a Bat?“)We cannot imaginatively occupy the bat’s sonar phenomenology; so subjective character of experience is irreducibleLewis 1990 “knowing what it’s like” as abilityChalmers 1996 hard-problem precursor
Zombies (philosophical)Kirk 1974; Chalmers, The Conscious Mind 1996A creature physically identical to me but lacking phenomenal consciousness is conceivable; so consciousness is not entailed by the physicalDennett 1991, 1995 (“zombie hunch” is unreliable); type-B physicalism (Block-Stalnaker)Kirk 2005; Chalmers 2010
Mary’s Room (knowledge argument)Jackson 1982 (“Epiphenomenal Qualia”)Mary the colour-vision scientist knows all physical facts about colour but learns something new when she first sees redLewis-Nemirow ability hypothesis; Loar phenomenal-concept strategy; Jackson 1998 recantationStoljar 2005; Alter 2007
Inverted qualiaLocke 1689; Block 1990Two people’s qualia could be systematically inverted with identical behaviorFunctionalist replies (Shoemaker); panpsychist repliesShoemaker 1982; Tye 1995
SwampmanDavidson 1987 (“Knowing One’s Own Mind”)Lightning hits a swamp; a molecule-for-molecule Davidson-replica forms; does it mean anything by its utterances?Tests externalism: Davidson says noBlock, Fodor on content
Floating manAvicenna, De Anima c.1027A man created in midair with no sensory input still affirms his own existence; so self-knowledge is independent of bodyAnticipates Cartesian cogitoBlack 1993
CogitoDescartes, Meditation II 1641 (“I think, therefore I am”)Even radical doubt cannot doubt the thinker; so I exist as a thinking thingHume 1739 — bundle theory denies enduring “I”; Lichtenberg — should be “there is thinking”Williams 1978; Markie 1992
Ship of TheseusPlutarch, Vita Thesei c.75 CE; Hobbes 1655 (planks reassembled)Replace each plank; reassemble removed planks into another ship; which is the original?Identity over time; 4-D worm/stage theoriesWiggins 1980; Sider 2001
Personal-identity reduplicationWilliams 1970; Parfit 1984Brain-duplication scenarios show personal identity is not what mattersReductionism (Parfit); animalism (Olson)Olson 1997; Shoemaker 1984
Statue and clayGibbard 1975 (“Contingent Identity”)Clay statue and lump of clay coincide; share location and mass; differ in survival conditionsConstitution view (Baker); 4D-stage; mereological essentialismBaker 2000; Wasserman 2018
Twin Earth (linguistic)Putnam 1975(See above)(See above)Externalism in language and mind

VI. Paradoxes and Puzzles

ParadoxOriginator + yearStructureResponses
Sorites (heap)Eubulides, c.4th c BCEOne grain isn’t a heap; adding one grain to a non-heap never makes a heap; so 10,000 grains is no heapEpistemicism (Williamson 1994); supervaluationism (Fine 1975); degree theories
LiarEubulides; Epimenides legendarily”This sentence is false”: true iff falseTarski 1933 hierarchy; Kripke 1975 fixed-point; revision theory (Gupta-Belnap 1993); paraconsistent (Priest 1979 dialetheism)
Russell’s paradoxRussell 1901 (letter to Frege 1902)The set of all sets not members of themselves: R ∈ R iff R ∉ RType theory (Russell-Whitehead); ZFC axiom of foundation; Quine NF
Grelling-Nelson (heterological)Grelling & Nelson 1908Is “heterological” (= not self-applying) heterological?Like Russell at the predicate level
Berry paradoxRussell 1908 (after Berry)“The smallest positive integer not definable in fewer than twelve words” — definable in elevenDistinguishes object/meta language; Chaitin complexity
Burali-Forti paradoxBurali-Forti 1897The ordinal of all ordinals is greater than every ordinalResolved by ZFC class-set distinction
Cantor’s paradoxCantor 1899Power set of universe is larger than universeSame resolution as Burali-Forti
Zeno’s AchillesZeno of Elea, c.450 BCE; rep. by AristotleAchilles can never overtake the tortoise because he must first reach where it wasConvergent infinite series; Aristotle’s potential infinity
DichotomyZeno c.450 BCETo travel a distance, must traverse half first, then half of remainder, ad infinitumSame as above
Arrow paradoxZeno c.450 BCEAt any instant the arrow is motionless; sum of motionless instants gives no motionCalculus; instantaneous velocity
StadiumZeno c.450 BCERelative motion of equal bodies at equal speeds yields a contradictionResolves with relative velocity
Two envelopesNalebuff 1989Switching seems to dominate but symmetry forbidsProbability axiomatics; improper priors
Sleeping BeautyElga 2000Beauty wakes once (heads) or twice (tails); credence for heads on waking?Thirders (Elga, Lewis 2001) vs halfers (Lewis revised; Bostrom)
Doomsday argumentCarter 1983; Gott 1993; Leslie 1996Self-sampling: I am likelier to find myself among many humans than few; updates toward early extinctionReference-class problem; Bostrom 2002

VII. Political and Social

CaseOriginator + yearStructureResponses
State of natureHobbes Leviathan 1651; Locke Two Treatises 1689; Rousseau 1755A hypothetical pre-political condition motivates the social contractEach thinker draws very different lessons (war of all vs orderly liberty vs corrupted innocence); historical critiques (anthropology)
Sexual contractPateman, The Sexual Contract 1988The original contract subordinates women; standard contract theory hides thisReshapes liberal contractarianism
Racial contractMills, The Racial Contract 1997A historical agreement among whites to categorize non-whites as sub-persons underlies the social contractReshapes liberal contractarianism
Tragedy of the commonsHardin 1968 (Science)Individually rational extraction destroys common resourcesOstrom 1990 — communities solve commons via institutions
Tyranny of the majorityTocqueville 1835; Mill 1859Majoritarian democracy can oppress minoritiesBills of rights; judicial review; consociationalism

Adjacent