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
| Argument | Originator + year | Structure | Standard responses | Modern formulations |
|---|---|---|---|---|
| Ontological (Anselmian) | Anselm, Proslogion 1078 | God = “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 reality | Gaunilo’s “Perfect Island” reductio; Kant 1781 — existence is not a real predicate | Plantinga 1974 (The Nature of Necessity) modal-logic version: possibly God exists ⟹ God exists in some world ⟹ exists in all (necessary being) |
| Cartesian ontological | Descartes, Meditation V 1641 | The idea of a supremely perfect being includes existence the way the idea of a triangle includes three sides | Hume — conceivability of non-existence; Kant’s predicate critique | (Largely subsumed into modal versions) |
| Gödel’s ontological | Gödel notebooks, c.1970; pub. Sobel 1987 | Modal logic from positive properties: a being having all positive properties exists necessarily | Modal collapse: all truths become necessary (Sobel 1987) | Anderson 1990 modification avoids collapse; Benzmüller-Paleo 2014 machine-verified |
| Cosmological — First Way | Aquinas, Summa Theol. I q.2 a.3 (1265) | Things move; what moves is moved by another; regress impossible; so a first unmoved mover | Why no infinite regress? Why call the first cause God? | Aquinas’s full Five Ways; Feser 2017 retrieval |
| Kalām cosmological | al-Ghazali 1095; Craig 1979 | Whatever begins to exist has a cause; the universe began to exist; so the universe has a cause | Quantum vacuum events; “begins” misused | Craig & Sinclair 2009 use Big Bang and Hilbert’s Hotel paradoxes |
| Leibnizian (from contingency) | Leibniz, Monadology 1714 | Every contingent fact has a sufficient reason; the existence of the contingent universe needs a non-contingent reason — God | PSR may be false; brute-fact universe | Pruss 2006; Koons 1997 |
| Teleological (design) | Cicero; Paley 1802 (Natural Theology) | A watch implies a watchmaker; nature shows comparable design; so nature has a designer | Darwin 1859; Hume 1779 — could be many gods, or a bumbling one | Behe 1996 (intelligent design); largely abandoned |
| Fine-tuning | Carter 1974; Leslie 1989; Collins 2009 | Physical constants lie in a narrow life-permitting range; chance and necessity fail; design is the best explanation | Multiverse; weak anthropic principle; what’s the right reference class? | Collins 2009; Hawthorne & Isaacs 2018 Bayesian version |
| Moral argument | Kant, Critique of Practical Reason 1788; C. S. Lewis 1952 (Mere Christianity); Craig 1989 | Objective moral values exist; they require a transcendent ground; so God exists | Moral realism without theism (Wielenberg, Enoch); evolutionary debunking | Craig & Sinnott-Armstrong 2004 debate |
| Pascal’s Wager | Pascal, Pensées §233 (1670) | Decision-theoretic: belief dominates given infinite payoff; so wager for God | Many-gods objection; cannot will belief; mixed strategies | Hájek 2003 dominance analyses |
II. Arguments Against the Existence of God
| Argument | Originator + year | Structure | Standard responses | Modern formulations |
|---|---|---|---|---|
| Logical problem of evil | Epicurus (attrib.); Mackie 1955 (“Evil and Omnipotence”) | (1) Omnipotent + omniscient + omnibenevolent God is incompatible with any evil | Plantinga 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 evil | Rowe 1979 (“The Problem of Evil and Some Varieties of Atheism”) | Gratuitous evils (e.g., fawn dying in unobserved forest fire) make theism improbable | Skeptical theism (Bergmann 2001) — we can’t see the goods God might be securing | Draper 1989 (Bayesian); Rowe 1996 reply |
| Skeptical theism | Wykstra 1984; Bergmann 2001 | (Defense) We have no reason to think we can detect God’s reasons | Implies global skepticism about God’s communications and morality (Almeida-Oppy 2003) | Bergmann; Howard-Snyder |
| Theodicies | Augustine (privatio boni); Irenaeus / Hick 1966 (soul-making); Plantinga 1974 (free-will defense); Swinburne 1998 | Various positive accounts of why God permits evil | Each addresses only a subset of evils | Plantinga; Hick; Swinburne; Stump 2010 |
| Divine hiddenness | Schellenberg 1993 (Divine Hiddenness and Human Reason) | A perfectly loving God would not permit non-resistant non-belief; such non-belief occurs; so no such God | Replies in terms of soul-making, free response | Schellenberg 2015 update |
III. Epistemology
| Case | Originator + year | Structure | Responses | Modern formulations |
|---|---|---|---|---|
| Gettier cases | Gettier 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-Façade | Goldman 1976 (attr. Ginet) | Henry sees a real barn in a county of fake-barn façades; the belief is true and justified but intuitively not knowledge | Sosa’s safety; Pritchard’s modal account | Sosa 2007; Pritchard |
| Brain-in-a-vat | Putnam, Reason, Truth and History 1981 | If I were a BIV stimulated by computers, “I am a BIV” said by me would be false (semantic externalism); so I am not a BIV | Replies require accepting Putnam’s externalism; Cartesian skeptic restates in non-semantic terms | Pryor’s “dogmatism”; Wright transmission failure |
| Twin Earth | Putnam, “The Meaning of ‘Meaning’” 1975 | On Twin Earth water = XYZ; my and twin-me’s narrow “water”-thoughts differ in reference, so meaning is not in the head | Internalist replies (Searle); narrow content (Fodor) | Burge 1979 social externalism; foundation for externalism in philosophy of mind |
| Cartesian demon | Descartes, Meditation I 1641 | A powerful deceiver could be making me wrong about everything except cogito | Moorean response (Moore 1939); reliabilism; contextualism | Stroud 1984 sustained version |
| Moorean response | Moore, “Proof of an External World” 1939 | Here is one hand, here is another, so there are external objects | Begs the question against skeptic; underestimates skeptical scenarios | Pryor 2000 dogmatism; Wright 2004 |
| Closure paradox | Dretske 1970; Nozick 1981 | I 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 paradox | Kyburg 1961 | I justifiedly believe of each ticket that it will lose; conjoining gives belief in a contradiction | Reject conjunction; subjective probability | Hawthorne 2004 |
| Preface paradox | Makinson 1965 | Author rationally believes each claim in the book yet acknowledges in the preface that some must be false | Threatens conjunctive belief closure | Christensen 2004 |
IV. Ethics and Decision Theory
| Case | Originator + year | Structure | Responses | Modern 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: yes | Doctrine of Double Effect (Aquinas); Kantian use-as-mere-means | Edmonds 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: no | Personal-force; doing vs allowing; Kantian use-as-means | Greene 2008 dual-process moral psychology |
| Loop case | Thomson 1985 | Side track loops back so the one is needed (not merely foreseen) to stop the trolley | Tests whether merely-foreseen-vs-intended is doing work | Thomson 2008 (later argued switch is impermissible too) |
| Violinist | Thomson 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 child | Singer 1972 (“Famine, Affluence, and Morality”) | If you can save a drowning child at small cost, you must; distant strangers are morally similar | Demandingness; partial duties; agent-centered options | Unger 1996 (Living High and Letting Die); MacAskill effective altruism |
| Survival lottery | Harris 1975 | Random 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 machine | Nozick, Anarchy, State, and Utopia 1974 §III | Would you plug in for guaranteed pleasant simulated experience? Most: no | Refutes hedonism about well-being | Crisp 2006 reply; Lin 2016 |
| Pleasure receptacle | Nozick 1989 (Examined Life) | Two creatures with same pleasure; one is rich in achievement | Bears on objective list theories | Crisp; Sumner |
| Repugnant conclusion | Parfit, 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 total | Person-affecting principles; critical-level utilitarianism | Arrhenius 2000s population axiology |
| Non-identity problem | Parfit 1984 §16 | Choosing a policy that makes people exist who could not otherwise — they aren’t harmed | Bears on climate, reproduction | Boonin 2014 |
| Mere addition | Parfit 1984 | Adding lives barely worth living seems neutral, yet generates the repugnant conclusion | Arrhenius 2000 impossibility theorems | |
| Prisoner’s Dilemma | Flood-Dresher 1950; Tucker 1950 (named) | Two prisoners; each defects rationally yet jointly worse | Iterated PD with tit-for-tat (Axelrod 1984); evolution of cooperation | Skyrms 1996; Bicchieri 2006 |
| Newcomb’s problem | Nozick 1969 (attrib. Newcomb) | One-box for 1k + whatever was predicted; CDT vs EDT diverge | Causal vs evidential decision theory; FDT (Yudkowsky 2017) | Joyce 1999; Ahmed 2014 |
| Original position / Veil of Ignorance | Rawls, A Theory of Justice 1971 | Behind a veil hiding personal attributes, rational agents would choose two principles: liberty + difference | Nozick: ahistorical; Sandel: thin self; communitarian critique | Scanlon 1998 contractualist relative; Rawls 1993 reformulation |
| Wilt Chamberlain | Nozick 1974 | Voluntary transactions disrupt patterned distributions of justice | Reply: regulate transactions, not pattern | Cohen 1995 critique |
V. Mind, Language, and Persons
| Case | Originator + year | Structure | Responses | Modern formulations |
|---|---|---|---|---|
| Chinese Room | Searle 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 false | Systems reply; robot reply; brain-simulator reply | Searle 1992; Block 1995; reignited by LLMs |
| Turing test | Turing 1950 (“Computing Machinery and Intelligence”) | If a machine’s textual responses are indistinguishable from a human’s, it should be counted as thinking | Searle’s Chinese Room; behaviorism in disguise | Levesque 2017 Winograd schemas; large-language-model debate |
| Bat | Nagel 1974 (“What Is It Like to Be a Bat?“) | We cannot imaginatively occupy the bat’s sonar phenomenology; so subjective character of experience is irreducible | Lewis 1990 “knowing what it’s like” as ability | Chalmers 1996 hard-problem precursor |
| Zombies (philosophical) | Kirk 1974; Chalmers, The Conscious Mind 1996 | A creature physically identical to me but lacking phenomenal consciousness is conceivable; so consciousness is not entailed by the physical | Dennett 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 red | Lewis-Nemirow ability hypothesis; Loar phenomenal-concept strategy; Jackson 1998 recantation | Stoljar 2005; Alter 2007 |
| Inverted qualia | Locke 1689; Block 1990 | Two people’s qualia could be systematically inverted with identical behavior | Functionalist replies (Shoemaker); panpsychist replies | Shoemaker 1982; Tye 1995 |
| Swampman | Davidson 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 no | Block, Fodor on content |
| Floating man | Avicenna, De Anima c.1027 | A man created in midair with no sensory input still affirms his own existence; so self-knowledge is independent of body | Anticipates Cartesian cogito | Black 1993 |
| Cogito | Descartes, Meditation II 1641 (“I think, therefore I am”) | Even radical doubt cannot doubt the thinker; so I exist as a thinking thing | Hume 1739 — bundle theory denies enduring “I”; Lichtenberg — should be “there is thinking” | Williams 1978; Markie 1992 |
| Ship of Theseus | Plutarch, 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 theories | Wiggins 1980; Sider 2001 |
| Personal-identity reduplication | Williams 1970; Parfit 1984 | Brain-duplication scenarios show personal identity is not what matters | Reductionism (Parfit); animalism (Olson) | Olson 1997; Shoemaker 1984 |
| Statue and clay | Gibbard 1975 (“Contingent Identity”) | Clay statue and lump of clay coincide; share location and mass; differ in survival conditions | Constitution view (Baker); 4D-stage; mereological essentialism | Baker 2000; Wasserman 2018 |
| Twin Earth (linguistic) | Putnam 1975 | (See above) | (See above) | Externalism in language and mind |
VI. Paradoxes and Puzzles
| Paradox | Originator + year | Structure | Responses |
|---|---|---|---|
| Sorites (heap) | Eubulides, c.4th c BCE | One grain isn’t a heap; adding one grain to a non-heap never makes a heap; so 10,000 grains is no heap | Epistemicism (Williamson 1994); supervaluationism (Fine 1975); degree theories |
| Liar | Eubulides; Epimenides legendarily | ”This sentence is false”: true iff false | Tarski 1933 hierarchy; Kripke 1975 fixed-point; revision theory (Gupta-Belnap 1993); paraconsistent (Priest 1979 dialetheism) |
| Russell’s paradox | Russell 1901 (letter to Frege 1902) | The set of all sets not members of themselves: R ∈ R iff R ∉ R | Type theory (Russell-Whitehead); ZFC axiom of foundation; Quine NF |
| Grelling-Nelson (heterological) | Grelling & Nelson 1908 | Is “heterological” (= not self-applying) heterological? | Like Russell at the predicate level |
| Berry paradox | Russell 1908 (after Berry) | “The smallest positive integer not definable in fewer than twelve words” — definable in eleven | Distinguishes object/meta language; Chaitin complexity |
| Burali-Forti paradox | Burali-Forti 1897 | The ordinal of all ordinals is greater than every ordinal | Resolved by ZFC class-set distinction |
| Cantor’s paradox | Cantor 1899 | Power set of universe is larger than universe | Same resolution as Burali-Forti |
| Zeno’s Achilles | Zeno of Elea, c.450 BCE; rep. by Aristotle | Achilles can never overtake the tortoise because he must first reach where it was | Convergent infinite series; Aristotle’s potential infinity |
| Dichotomy | Zeno c.450 BCE | To travel a distance, must traverse half first, then half of remainder, ad infinitum | Same as above |
| Arrow paradox | Zeno c.450 BCE | At any instant the arrow is motionless; sum of motionless instants gives no motion | Calculus; instantaneous velocity |
| Stadium | Zeno c.450 BCE | Relative motion of equal bodies at equal speeds yields a contradiction | Resolves with relative velocity |
| Two envelopes | Nalebuff 1989 | Switching seems to dominate but symmetry forbids | Probability axiomatics; improper priors |
| Sleeping Beauty | Elga 2000 | Beauty wakes once (heads) or twice (tails); credence for heads on waking? | Thirders (Elga, Lewis 2001) vs halfers (Lewis revised; Bostrom) |
| Doomsday argument | Carter 1983; Gott 1993; Leslie 1996 | Self-sampling: I am likelier to find myself among many humans than few; updates toward early extinction | Reference-class problem; Bostrom 2002 |
VII. Political and Social
| Case | Originator + year | Structure | Responses |
|---|---|---|---|
| State of nature | Hobbes Leviathan 1651; Locke Two Treatises 1689; Rousseau 1755 | A hypothetical pre-political condition motivates the social contract | Each thinker draws very different lessons (war of all vs orderly liberty vs corrupted innocence); historical critiques (anthropology) |
| Sexual contract | Pateman, The Sexual Contract 1988 | The original contract subordinates women; standard contract theory hides this | Reshapes liberal contractarianism |
| Racial contract | Mills, The Racial Contract 1997 | A historical agreement among whites to categorize non-whites as sub-persons underlies the social contract | Reshapes liberal contractarianism |
| Tragedy of the commons | Hardin 1968 (Science) | Individually rational extraction destroys common resources | Ostrom 1990 — communities solve commons via institutions |
| Tyranny of the majority | Tocqueville 1835; Mill 1859 | Majoritarian democracy can oppress minorities | Bills of rights; judicial review; consociationalism |
Adjacent
- Philosopher catalog for the originators by surname and date.
- Philosophical positions catalog for the broader -isms these arguments defend.
- Schools and movements catalog for the traditions that generated them.
- Epistemology survey for the Gettier and skeptical arguments in context.
- Ethics survey for Trolley, Drowning Child, Original Position.
- Philosophy Tier 3 index · Philosophy Tier 1 root