Philosophical Perspectives on Infinity

Philosophical Perspectives on Infinity

Volumn , Issue , 2006, Pages 1-316

  Oppy, Graham ^a  

^a MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33847250577     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511498985     Document Type: Book

References (323)

1. Abian, A. 1978. “Passages between Finite and Infinite”. Notre Dame Journal of Formal Logic 19:452-6
2. Allis, V., and T. Koetsier. 1991. “On Some Paradoxes of the Infinite.” British Journal for Philosophy of Science 42:187-94
3. Allis, V., and T. Koetsier. 1995. “On Some Paradoxes of the Infinite II.” British Journal for Philosophy of Science 46:235-47
4. Almog, J. 1999. “Nothing, Something, Infinity.” Journal of Philosophy 96:462-78
5. Alper, J., and M. Bridger. 1997. “Mathematics, Model and Zeno's Paradoxes.” Synthese 110:143-66
6. Angel, L. 2002. “Zeno's Arrow, Newton's Mechanics, and Bell's Inequalities.” British Journal for the Philosophy of Science 53:161-82
7. Arntzenius, F., and D. McCarthy. 1997. “The Two Envelope Paradox and Infinite Expectations.” Analysis 57:42-50
8. Arsenijivic, M. 1989. “How Many Physically Distinguished Parts Can a Limited Body Contain?” Analysis 49:36-42
9. Baker, G., and P. Hacker. 1984. Language, Sense and Nonsense. Oxford: Blackwell
10. Bell, J. 1979. “The Infinite Past Regained: A Reply to Whitrow.” British Journal for the Philosophy of Science 30:161-5
11. Bell, J. 1988. “Infinitesimals.” Synthese 75:285-315
12. Belot, G. 2001. “The Principle of Sufficient Reason.” Journal of Philosophy 98:55-74
13. Benacerraf, P. 1962. “Tasks, Supertasks, and the Modern Eleatics.” Journal of Philosophy 59:765-84
14. Benacerraf, P. 1965. “What Numbers Could Not Be.” Philosophical Review 74:47-73
15. Benacerraf, P. 1985. “Skolem and the Sceptic.” Proceedings of the Aristotelian Society, supp. vol. 59:85-115
16. Benardete, J. 1964. Infinity: An Essay in Metaphysics. Oxford: Clarendon
17. Bennett, J. 1971. “The Age and Size of the World.” Synthese 23:127-46
18. Berresford, G. 1981. “A Note on Thomson's Lamp ‘Paradox.’” Analysis 41:1-3
19. Black, M. 1951. “Achilles and the Tortoise.” Analysis 11:91-101
20. Blake, R. 1926. “The Paradox of Temporal Process.” Journal of Philosophy 23:645-54
21. Blum, R., and J. Rosenblatt. 1972. Probability and Statistics. Philadelphia: W. B. Saunders
22. Boolos, G., and R. Jeffrey. 1980. Computability and Logic, 2nd ed. Cambridge: Cambridge University Press
23. Bostock, D. 1972/3. “Aristotle, Zeno, and the Potential Infinite.” Proceedings of the Aristotelian Society 73:37-5
24. Brook, P. 1965. “White at the Shooting Gallery.” Mind 74:256
25. Broome, J. 1995. “The Two-Envelope Paradox.” Analysis 55:6-11
26. Brown, P. 1965. “A Medieval Analysis of Infinity.” Journal for the History of Philosophy 3:242-3
27. Cain, J. 1995. “Infinite Utility.” Australasian Journal of Philosophy 73:401-4
28. Cajori, F. 1915. “The History of Zeno's Arguments on Motion.” American Mathematical Monthly 22:1-7, 39-47, 77-83, 109-15, 143-9, 179-86, 215-21, 253-8, 292-7
29. Cargile, J. 1992. “On a Problem about Probability and Decision.” Analysis 52:211-16
30. Carnap, R. 1956. “Empiricism, Semantics, and Ontology.” In Meaning and Necessity: A Study in Semantics and Modal Logic, (2nd ed., enlarged.) Chicago: Chicago University Press
31. Castell, P., and D. Batens. 1994. “The Two Envelope Paradox: The Infinite Case.” Analysis 54:46-9
32. Chad, A. 1997. “The Principle of Sufficient Reason and the Uncaused Beginning of the Universe.” Dialogue 36:555-62
33. Chalmers, D. 2002. “The St. Petersburg Two Envelope Paradox.” Analysis 62:155-7
34. Champlin, T. 1988. Reflexive Paradoxes. London: Routledge
35. Chase, J. 2002. “The Non-Probabilistic Two Envelope Paradox.” Analysis 62:157-60
36. Chihara, C. 1965. “On the Possibility of Completing an Infinite Process.” Philosophical Review 74:74-87
37. Christensen, R., and J. Utts. 1992. “Bayesian Resolution of the ‘Exchange Paradox.’” American Statistician 46:274-6
38. Clark, M., and N. Schackel. 2000. “The Two Envelope Paradox.” Mind 109:415-42
39. Clark, P., and S. Read. 1984. “Hypertasks.” Synthese 61:387-90
40. Clark, R. 1988. “Vicious Infinite Regress Arguments.” In J. Tomberlin (ed.), Philosophical Perspectives, vol. 2: Epistemology. Atascadero, Calif.: Ridgeview, 369-80
41. Clayton, P. 1996. “The Theistic Argument from Infinity in Early Modern Philosophy.” International Philosophical Quarterly 36:5-17
42. Cleve, J. 1971. “Cauchy, Convergence and Continuity.” British Journal for Philosophy of Science 22:27-37
43. Cohen, R., and L. Lauden, eds. 1983. Physics, Philosophy and Psychoanalysis. Dordrecht: Reidel
44. Conway, D. 1974. “Possibility and Infinite Time: A Logical Paradox in St. Thomas' Third Way.” International Philosophical Quarterly 14:201-8
45. Conway, D. 1983. “Concerning Infinite Chains, Infinite Trains, and Borrowing a Typewriter.” International Journal for Philosophy of Religion 14:71-86
46. Conway, D. 1984. “‘It Would Have Happened Already’: On One Argument for a First Cause.” Analysis 44:159-66
47. Conway, J. 1976. On Numbers and Games. London: Academic
48. Corbett, S. 1988. “Zeno's Achilles: A Reply to John McKie.” Philosophy and Phenomenological Research 49:325-31
49. Cornman, J., and K. Lehrer. 1968. Philosophical Problems and Arguments: An Introduction. Indianapolis: Hackett
50. Cowen, T., and J. High. 1988. “Time, Bounded Utility, and the St. Petersburg Paradox.” Theory and Decision 25:219-23
51. Craig, W. 1979a. The Kalām Cosmological Argument. London: Macmillan
52. Craig, W. 1979b. “Whitrow, Popper, and the Impossibility of an Infinite Past.” British Journal for the Philosophy of Science 30:166-70
53. Craig, W. 1985. “Professor Mackie and the Kalām Cosmological Argument.” Religious Studies 20:367-75
54. Craig, W. 1988. “Quentin Smith on Infinity and the Past.” Philosophy of Science 55:453-5
55. Craig, W. 1991a. “Time and Infinity.” International Philosophical Quarterly 31:387-401
56. Craig, W. 1991b. “Theism and Big Bang Cosmology.” Australasian Journal of Philosophy 69:492-503
57. Craig, W. 1993. “Graham Oppy on the Kalām Cosmological Argument.” Sophia 32:1-11
58. Craig, W., and Q. Smith. 1993. Theism, Atheism and Big Bang Cosmology. Oxford: Clarendon
59. Cutland, N. et al. 1988. “On Cauchy's Notion of Infinitesimal.” British Journal for Philosophy of Science 39:375-8
60. Dauben, J. 1977. “Georg Cantor and Pope Leo XIII: Mathematics, Theology, and the Infinite.” Journal of the History of Ideas 38:85-108
61. Dauben, J. 1990. Georg Cantor: His Mathematics and Philosophy of the Infinite. Princeton: Princeton University Press
62. Davis, M. 1977. Applied Non-Standard Analysis. New York: John Wiley
63. Day, T. 1987a. “Aquinas on Infinite Regress.” International Journal for Philosophy of Religion 22:151-64
64. Day, T. 1987b. “Infinite Regress Arguments.” Philosophical Papers 16:155-64
65. Detlefsen, M. 1986. Hilbert's Program: An Essay on Mathematical Instrumentalism. Dordrecht: Reidel
66. Devlin, K. 1991. The Joy of Sets. Berlin: Springer-Verlag
67. Diamond, P. 1965. “The Evaluation of Infinite Utility Streams.” Econometrica 33:170-7
68. Diamond, R. 1964. “Resolution of the Paradox of Tristram Shandy.” Philosophy of Science 31:55-8
69. Drake, F. 1974. Set Theory: An Introduction to Large Cardinals. Amsterdam: North-Holland
70. Dreier, J. 2003. “Boundless Good.” Unpublished ms
71. Dretske, F. 1965. “Counting to Infinity.” Analysis 25:99-101
72. Earman, J. 1975. “Infinities, Infinitesimals, and Indivisibles: The Leibnizian Labyrinth.” Studia Logica 7:236-51
73. Earman, J. 1995. Bangs, Crunches, Whimpers and Shrieks. Oxford: Oxford University Press
74. Earman, J., and J. Norton. 1993. “Forever Is a Day: Supertasks in Pitowsky and Malament-Hogarth Spacetimes.” Philosophy of Science 60:22-42
75. Earman, J., and J. Norton. 1996. “Infinite Pains: The Trouble with Supertasks.” In A. Morton and S. Stich (eds.), Benacerraf and His Critics. Oxford: Blackwell
76. Eells, E. 1988. “Quentin Smith on Infinity and the Past.” Philosophy of Science 55:453-5
77. Ehrlich, P. 1982. “Negative, Infinite and Hotter Than Infinite Temperatures.” Synthese. 50:233-77
78. Ehrlich, P. 1994. Real Numbers, Generalisations of the Real, and Theories of Continua. Dordrecht: Kluwer
79. Ehrlich, P. 1997. “From Completeness to Archimedean Completeness.” Synthese 110:57-76
80. Evans, G. 1978. “Can There Be Vague Objects?” Analysis 38:208
81. Faris, J. 1996. The Paradoxes of Zeno. Gateshead: Athenaeum
82. Feferman, S. 1989. “Infinity in Mathematics: Is Cantor Necessary?” Philosophical Topics 17:23-45
83. Fenstad, J. 1985. “Is Non-Standard Analysis Relevant for the Philosophy of Mathematics?” Synthese 62:289-301
84. Fetzer, J. (ed.) 1984. Principles of Philosophical Reasoning. Totowa, N.J.: Rowman and Allanheld
85. Fishburn, P. 1972. Mathematics of Decision Theory. Paris: Mouton
86. Fitch, F. 1955. “A Logical Analysis of Some Value Concepts.” Journal of Symbolic Logic 28:135-42
87. Forrest, P. 1996. “How Innocent Is Mereology?” Analysis 56:127-31
88. Fraenkel, A., Y. Bar-Hillel, and A. Levy. 1973. Foundations of Set Theory. Amsterdam: North-Holland
89. Gale, R., and A. Pruss. 1999. “A New Cosmological Argument.” Religious Studies 35:461-76
90. Gamow, G. 1946. 1, 2, 3, … Infinity. London: Macmillan
91. Gellman, J. 1994. “Experiencing God's Infinity.” American Philosophical Quarterly 31:53-61
92. George, A. 1991. “Goldbach's Conjecture Can Be Decided in One Minute: On an Alleged Problem for Intuitionism.” Proceedings of the Aristotelian Society 91:187-9
93. Godfrey, R. 1993. “Paradoxes and Infinite Numbers.” Philosophy 68:541-5
94. Gonshor, H. 1986. An Introduction to the Theory of Surreal Numbers. Cambridge: Cambridge University Press
95. Goodman, L. 1971. “Ghazālī's Argument from Creation.” International Journal of Middle Eastern Studies 2:67-85, 168-88
96. Grier, M. 1998. “Transcendental Illusion and Transcendental Realism in Kant's Second Antinomy.” British Journal for the History of Philosophy 98:47-70
97. Gruender, C. 1966. “The Achilles Paradox and Transfinite Numbers.” British Journal for Philosophy of Science 17:219-31
98. Grünbaum, A. 1950. “Relativity and the Atomicity of Becoming.” Review of Metaphysics 4:143-86
99. Grünbaum, A. 1952a. “A Consistent Conception of the Extended Linear Continuum as an Aggregate of Unextended Elements.” Philosophy of Science 19:288-306
100. Grünbaum, A. 1952b. “Messrs. Black and Taylor on Temporal Paradoxes.” Analysis 12:144-8
101. Grünbaum, A. 1953. “Whitehead's Method of Extensive Abstraction.” British Journal for Philosophy of Science 4:215-26
102. Grünbaum, A. 1955. “Modern Science and Refutation of the Paradoxes of Zeno.” Scientific Monthly 81:234-9. Reprinted in Salmon (1970), 164-75
103. Grünbaum, A. 1967. Modern Science and Zeno's Paradoxes. Middleton, Conn.: Wesleyan University Press; especially “Zeno's Metrical Paradox of Extension,” 115-35. Reprinted in Salmon (1970), 176-99
104. Grünbaum, A. 1968. “Are ‘Infinity Machines’ Paradoxical?” Science 159:396-406
105. Grünbaum, A. 1973a. “Can an Infinitude of Operations Be Performed in a Finite Time?” In Grünbaum (1973b)
106. Grünbaum, A. 1973b. Philosophical Problems of Space and Time. Dordrecht: Reidel
107. Hájek, A. 2003. “Waging War on Pascal's Wager.” Philosophical Review 112:27-56
108. Haldane, J. 1983. “A Benign Regress.” Analysis 43:115-16
109. Harrison, C. 1996. “The Three Arrows of Zeno.” Synthese 107:271-92
110. Harrison, E. 1987. Darkness at Night: A Riddle of the Universe. Cambridge: Harvard University Press
111. Hart, W. 1975/6. “The Potential Infinite.” Proceedings of the Aristotelian Society 76:247-64
112. Hazen, A. 1976. “Expressive Completeness in Modal Language.” Journal of Philosophical Logic 5:25-46
113. Hazen, A. 1993. “Slicing It Thin.” Analysis 53:189-92
114. Hazewinkel, M., ed. 1989. Encyclopedia of Mathematics, vol. 3. Dordrecht: Kluwer
115. Hinton, J., and C. Martin. 1953/4. “Achilles and the Tortoise.” Analysis 14:56-68
116. Holgate, P. 1994. “Mathematical Notes on Ross' Paradox.” British Journal for Philosophy of Science 45:302-4
117. Horgan, T. 2000. “The Two-Envelope Paradox, Non-Standard Expected Utility, and the Intensionality of Probability.” Nous 34:578-602
118. Huby, P. 1971. “Kant or Cantor: That the Universe, If Real, Must Be Finite in Both Space and Time.” Philosophy 46:121-32
119. Huby, P. 1973. “Cosmology and Infinity.” Philosophy 48:186-7
120. Huggett, N. 1999. “Atomic Metaphysics.” Journal of Philosophy 96:5-24
121. Hughes, P., and G. Brecht. 1975. Vicious Circles and Infinity. New York: Doubleday
122. Humphrey, T. 1974. “How Descartes Avoids the Hidden Faculties Trap.” Journal of the History of Philosophy 12:371-7
123. Isles, D. 1992. “What Evidence Is There That 265536 Is a Natural Number?” Notre Dame Journal of Formal Logic 33:465-80
124. Jackson, F., P. Menzies, and G. Oppy. 1994. “The Two Envelope Paradox.” Analysis 54:43-5
125. Jacquette, D. 1993. “Kant's Second Antinomy and Hume's Theory of Extensionless Indivisibles.” Kant-Studien 84:38-50
126. Jaki, S. 1969. The Paradox of Olber's Paradox. New York: Herder and Herder
127. Jeffrey, R. 1983. The Logic of Decision, 2nd ed. Chicago: University of Chicago Press
128. Johnson, P. 1993. “Wholes, Parts, and Infinite Collections.” Philosophy 67:367-79
129. Johnson, P. 1994. “More about Infinite Numbers.” Philosophy 69:369-70
130. Jones, P. 1946. “Achilles and the Tortoise.” Mind 55:341-5
131. Jordan, J., ed. 1994. Gambling on God. Lanham, Md.: Rowman and Littlefield
132. Jourdain, P. 1910. “The Flying Arrow: An Anachronism.” Mind 19:42-55
133. Jozsa, R. 1986. “An Approach to the Modelling of the Physical Continuum.” British Journal for the Philosophy of Science 37:395-404
134. Kanomori, A. 1991. The Higher Infinite. Berlin: Springer-Verlag
135. Katĕtor, M., and P. Simon. 1997. “Origins of Dimension Theory.” In C. Aull and R. Lower (eds.), Handbook of the History of General Topology, vol. 1. Dordrecht: Kluwer, 113-34
136. King, H. 1949. “Aristotle and the Paradoxes of Zeno.” Journal of Philosophy 46:657-70
137. Klein, P. 2003. “When Infinite Regresses Are Not Vicious.” Philosophy and Phenomenological Research 66:718-29
138. Knorr, 1982. “Infinity and Continuity: The Interaction of Mathematics and Philosophy in Antiquity.” In Kretzmann (1982)
139. Knuth, D. 1974. Surreal Numbers. London: Addison-Wesley
140. Koetsier, T., and V. Allis. 1997. “Assaying Supertasks.” Logique et Analyse 159:291-313
141. Kolmogorov, A. 1933/56. Foundations of the Theory of Probability, translated by N. Morrison. New York: Chelsea
142. Koons, R. 1997. “A New Look at a Cosmological Argument.” American Philosophical Quarterly 34:193-211
143. Kragh, H. 1996. Cosmology and Controversy. Princeton: Princeton University Press
144. Krausser, P. 1988. “On the Antinomies and the Appendix to Kant's Dialectic in Kant's Critique and Philosophy of Science.” Synthese 77:375-401
145. Kretzmann, N., ed. 1982. Infinity and Continuity in Ancient and Medieval Thought. Ithaca, N.Y.: Cornell University Press
146. Kusraer, A., and S. Kutateladze. 1990. Non-Standard Methods of Analysis. Dordrecht: Kluwer
147. Lauwers, L. 1997. “Infinite Utility: Insisting on Strong Monotonicity.” Australasian Journal of Philosophy 75:222-33
148. Lavine, S. 1991. “Is Quantum Mechanics an Atomistic Theory?” Synthese 89:253-71
149. Lavine, S. 1994. Understanding the Infinite. Cambridge: Harvard University Press
150. Lavine, S. 1995. “Finite Mathematics.” Synthese 103:389-420
151. Lawrence, N. 1950. “Whitehead's Method of Extensive Abstraction.” Philosophy of Science 17:142-63
152. Lear, J. 1981. “A Note on Zeno's Arrow.” Phronesis 26:91-104
153. Lee, H. 1965. “Are Zeno's Paradoxes Based on a Mistake?” Mind 74:563-70
154. Levi, I. 1980. The Enterprise of Knowledge. Cambridge: MIT Press
155. Lewis, D. 1986. On the Plurality of Worlds. Oxford: Blackwell
156. Lewis, D. 1991. Parts of Classes. Oxford: Blackwell
157. Littlewood, J. 1953. A Mathematician's Miscellany. London: Methuen
158. Loparic, Z. 1990. “The Logical Structure of the First Antinomy.” Kant-Studien 81:280-303
159. Machover, M. 1993. “The Place of Non-Standard Analysis in Mathematics and Mathematics Teaching.” British Journal for Philosophy of Science 44:205-12
160. Mackie, J. 1982. The Miracle of Theism. Oxford: Clarendon
161. Maor, E. 1987. To Infinity and Beyond. Boston: Birkhaüser
162. Marmura, M. 1957. “The Logical Role of the Argument from Time in the Tahāfut's Second Proof for the World's Pre-Eternity.” Muslim World 47:306-14
163. McClennan, E. 1994. “Finite Decision Theory.” In Jordan (1994)
164. McGrew, T., D. Shier, and H. Silverstein. 1997. “The Two Envelope Paradox Resolved.” Analysis 57:28-33
165. McLaughlin, W. 1994. “Resolving Zeno's Paradoxes.” Scientific American (November): 66-71
166. McLaughlin, W. 1998. “Thomson's Lamp Is Dysfunctional.” Synthese 116:281-301
167. McLaughlin, W., and S. Miller. 1992. “An Epistemological Use of Non-Standard Analysis to Answer Zeno's Objections against Motion.” Synthese 92:371-84
168. McClennen, E. 1994. “Pascal's Wager and Finite Decision Theory.” In Jordan (1994)
169. Monk, N. 1997. “Conceptions of Space-Time: Problems and Possible Solutions.” Studies in the History and Philosophy of Modern Physics 28, no. 1:1-34
170. Moore, A. 1988. “Aspects of the Infinite in Kant.” Mind 97:205-23
171. Moore, A. 1989. “A Problem for Intuitionism: The Apparent Possibility of Performing Infinitely Many Tasks in a Finite Time.” Proceedings of the Aristotelian Society 89:17-34
172. Moore, A. 1990. The Infinite. London: Routledge
173. Moore, A. 1992. “A Note on Kant's First Antinomy.” Philosophical Quarterly 42:480-5
174. Moore, A., ed. 1993. Infinity. Dartmouth: Aldershot
175. Moore, M. 2002. A Cantorian Argument against Infinitesimals.” Synthese 133:305-30
176. Morriston, W. 1999. “Must the Past Have a Beginning?” Philo 2:5-19
177. Morriston, W. 2002c. “Craig on the Actual Infinite.” Religious Studies 38:147-66
178. Mundy, B. 1987. “Faithful Representation, Physical Extensive Measurement Theory and Archimedean Axioms.” Synthese 70:373-400
179. Mycielski, J. 1981. “Analysis without Actual Infinity.” Journal of Symbolic Logic 46:625-33
180. Mycielski, J. 1986. “Locally Finite Theories.” Journal of Symbolic Logic 51:59-62
181. Nalebuff, B. 1989. “The Other Person's Envelope Is Always Greener.” Journal of Economic Perspectives 3:171-81
182. Nelson, E. 1977. “Internal Set Theory: A New Approach to Non-Standard Analysis.” Bulletin of the American Mathematical Society 83, no. 6:1165-98
183. Nelson, E. 1987. Radically Elementary Probability Theory. Princeton: Princeton University Press
184. Nelson, M. 1991. “Utilitarian Eschatology.” American Philosophical Quarterly 28:339-47
185. Ng, Y. 1995. “Infinite Utility and van Liedekerke's Impossibility: A Solution.” Australasian Journal of Philosophy 73:408-12
186. Nolan, D. 1996. “Recombination Unbound.” Philosophical Studies 84:239-62
187. Nolan, D. 2001. “What Wrong with Infinite Regresses?” Metaphilosophy 32:523-38
188. Nolan, D. 2002. Topics in the Philosophy of Possible Worlds. London: Routledge
189. North, J. 1983. “Finite and Otherwise: Aristotle and Some Seventeenth Century Views.” In Shea (1983):113-48
190. Oakes, R. 1997. “The Divine Infinity: Can Traditional Theists Justifiably Reject Pantheism.” Monist 80:251-65
191. O'Briant, W. 1979. “Is Descartes' Evil Spirit Finite or Infinite?” Sophia 18:28-32
192. Oderberg, D. 2002a. “Traversal of the Infinite, the ‘Big Bang,’ and the Kalam Cosmological Argument.” Philosophia Christi 4, no. 2: 303-34
193. Oderberg, D. 2002b. “The Tristram Shandy Paradox: A Reply to Graham Oppy.” Philosophia Christi 4, no. 2: 351-60
194. O'Leary-Hawthorne, J., and A. Cortens. 1995. “Towards Ontological Nihilism.” Philosphical Studies 79, no. 2:143-65
195. Oppy, G. 1990. “On Rescher on Pascal's Wager.” International Journal for Philosophy of Religion 30:159-68
196. Oppy, G. 1991. “Craig, Mackie and the Kalām Cosmological Argument.” Religious Studies 27:189-97
197. Oppy, G. 1995a. “Inverse Operations with Transfinite Numbers and the Kalām Cosmological Argument.” International Philosophical Quarterly 35, no. 2:219-21
198. Oppy, G. 1995b. “Kalām Cosmological Arguments: Reply to Professor Craig.” Sophia 34:15-29
199. Oppy, G. 1995c. Ontological Arguments and Belief in God. New York: Cambridge University Press
200. Oppy, G. 1995d. “Professor William Craig's Criticisms of Critiques of Kalām Cosmological Arguments by Paul Davies, Stephen Hawking, and Adolf Grünbaum.” Faith and Philosophy 12:237-50
201. Oppy, G. 1996a. “Pascal's Wager Is a Possible Bet (but Not a Very Good One): Reply to Harmon Holcomb III.” International Journal for Philosophy of Religion 40:101-16
202. Oppy, G. 1996b. “Review of W. Craig and Q. Smith, Theism, Atheism and Big Bang Cosmology.” Faith and Philosophy 13:125-33
203. Oppy, G. 1997a. “Countable Fusion Not Yet Proven Guilty: It May Be the Whiteheadian Account of Space Whatdunnit.” Analysis 57, no. 4:249-53
204. Oppy, G. 1997b. “Pantheism, Quantification, and Mereology.” Monist 80, no. 2:320-36
205. Oppy, G. 2000a. “Humean Supervenience?” Philosophical Studies 101, no. 1:75-105
206. Oppy, G. 2000b. “On ‘A New Cosmological Argument.’” Religious Studies 36:345-53
207. Oppy, G. 2001. “Time, Successive Addition, and the Kalām Cosmological Argument.” Philosophia Christi 3:181-91
208. Oppy, G. 2002a. “Arguing about the Kalām Cosmological Argument.” Philo 5, no 1:34-61
209. Oppy, G. 2002b. “More Than a Flesh Wound: Reply to Oderberg.” Ars Disputandi 2:1-11. [Http://www.ArsDisputandi.org]
210. Oppy, G. 2002c. “The Tristram Shandy Paradox: A Response to David S. Oderberg.” Philosophia Christi 4, no. 2:335-49
211. Oppy, G. 2003. “From the Tristram Shandy Paradox to the Christmas Shandy Paradox: Reply to Oderberg.” Ars Disputandi 3:1-24. [Http://www.ArsDisputandi.org]
212. Oppy, G. 2004. “Faulty Reasoning about Default Principles in Cosmological Arguments.” Faith and Philosophy 21:242-9
213. Owen, G. 1958. “Zeno and the Mathematicians.” Proceedings of the Aristotelian Society 58:199-222
214. Pasyakov, B. 1989. “Dimension.” In Hazewinkel (1989), pp. 188-90
215. Peers, A. 1975. Dimension Theory of General Spaces. Cambridge: Cambridge University Press
216. Perez-Laraudogoitia, J. 1997. “Classical Particle Dynamics, Indeterminism, and a Supertask.” British Journal for the Philosophy of Science 48:49-54
217. Perez-Laraudogoitia, J. 1998. “Infinity Machines and Creation Ex Nihilo.” Synthese 115:259-65
218. Perez-Laraudogoitia, J. 2000. “Priest on the Paradox of the Gods.” Analysis 60:152-5
219. Perez-Laraudogoitia, J. 2002a. “On the Dynamics of Alper and Bridger.” Synthese 131:157-71
220. Perez-Laraudogoitia, J. 2002b. “Just as Beautiful but Not (Necessarily) a Supertask.” Mind 111:281-7
221. Perez-Laraudogoitia, J. 2002c. “Two Ways of Looking at a Newtonian Supertask.” Synthese 131:173-89
222. Perez-Laraudogoitia, J. 2003. “A Variant of Benardette's Paradox.” Analysis 63:124-31
223. Pomerlau, W. 1985. “Does Reason Demand That God Be Infinite?” Sophia 24:18-27
224. Potter, M. 1996. “Taming the Infinite.” British Journal for the Philosophy of Science 47:609-19
225. Price, H. 1992. “Metaphysical Pluralism.” Journal of Philosophy 89:387-409
226. Priest, G. 1987. In Contradiction. Dordrecht: Kluwer
227. Priest, G. 1991. “The Limits of Thought — and Beyond.” Mind 100:361-70
228. Priest, G. 1995. Beyond the Limits of Thought. Cambridge: Cambridge University Press
229. Priest, G. 1999. “On a Version of One of Zeno's Paradoxes.” Analysis 59:1-2
230. Qfiasco, F. 1980. “Another Look at Some of Zeno's Paradoxes.” Canadian Journal of Philosophy 10:119-30
231. Quine, W. 1953. “On What There Is.” In From a Logical Point of View. Cambridge: Harvard University Press, 1-19
232. Radner, M. 1998. “Unlocking the Second Antinomy: Kant and Wulff.” Journal for the History of Philosophy 36:413-41
233. Rapaport, A. 1998. Decision Theory and Decision Behaviour. London: Macmillan
234. Robinson, A. 1961. “Non Standard Analysis.” Indagationes Mathematicae 23:432-40
235. Robinson, A. 1966. Non-Standard Analysis. Amsterdam: North-Holland
236. Robinson, A. 1973. “Metamathematical Problems.” Journal of Symbolic Logic 38:500-16
237. Ross, S. 1988. A First Course in Probability, 3rd ed. London: Macmillan
238. Rucker, R. 1982. Infinity and the Mind. Sussex: Harvester
239. Russell, B. 1903. The Principles of Mathematics. London: Allen & Unwin
240. Russell, B. 1929. Our Knowledge of the External World. New York: Norton, 182-98. Reprinted in Salmon (1970), 45-58
241. Sainsbury, M. 1995. Paradoxes. New York: Cambridge
242. Salmon, W., ed. 1970. Zeno's Paradoxes. Indianapolis: Bobbs-Merrill
243. Samuelson, P. 1977. “St. Petersburg Paradoxes: Defanged, Dissected and Historically Described.” Journal of Economic Literature 15:24-55
244. Sanford, D. 1969. “Time May Have a Stop.” Analysis 29:206
245. Sanford, D. 1975. “Infinity and Vagueness.” Philosophical Review 87:520-35
246. Sanford, D. 2003. “Fusion Confusion.” Analysis 63:1-4
247. Schlesinger, G. 1994. “A Central Theistic Argument.” In Jordan (1994)
248. Schock, R. 1982. “Dividing by Zero.” Logique et Analyse 25:213-15
249. Schoen, E. 1990. “The Sensory Presentation of Divine Infinity.” Faith and Philosophy 7:3-18
250. Scott, A., and D. Scott. 1997. “What Is in the Two Envelope Paradox?” Analysis 57:34-41
251. Segel, L. 1991. “The Infinite and Infinitesimal in Models for Natural Phenomena.” Reviews of Modern Physics 63:225-38
252. Segerberg, K. 1976. “A Neglected Family of Aggregation Problems in Ethics.” Nous 10:221-47
253. Shannon, G. 1997. “Some Definitions of ‘The Smallest Infinity.’” Logique et Analyse 160:345-56
254. Shearman, J. 1908. “Infinite Divisibility.” Mind 17:394-6
255. Sherry, D. 1988. “Zeno's Metrical Paradox Revisited.” Philosophy of Science 55:58-73
256. Sierpinski, W. 1965. Cardinal and Ordinal Numbers. Warsaw: PWN-Polish Scientific
257. Simons, P. 1987. Parts: A Study in Ontology. Oxford: Clarendon
258. Skyrms, B. 1966. Choice and Chance. Belmont: Dickenson
259. Skyrms, B. 1983. “Zeno's Paradox of Measure.” In Cohen and Lauden (1983):223-54
260. Skyrms, B. 1993. “A Uniform Positive Probability on Natural Numbers.” Unpublished ms
261. Skyrms, B., and W. Harper, eds. 1988. Causation, Chance and Credence, vol. 1. Dordrecht: Kluwer
262. Small, R. 1986. “Tristram Shandy's Last Page.” British Journal for the Philosophy of Science 37:213-16
263. Smith, Q. 1985. “Kant and the Beginning of the World.” New Scholasticism 59:339-48
264. Smith, Q. 1987. “Infinity and the Past.” Philosophy of Science 54:63-75
265. Smith, Q. 1988. “The Uncaused Beginning of the Universe.” Philosophy of Science 55:39-57
266. Smith, Q. 1991. “Atheism, Theism and Big Bang Cosmology.” Australasian Journal of Philosophy 69:48-65
267. Smith, Q. 1993. “Reply to Craig: The Possible Infinitude of the Past.” International Philosophical Quarterly 33:109-15
268. Smith, Q. 1995a. “A Defence of a Principle of Sufficient Reason.” Metaphilosophy 26:97-106
269. Smith, Q. 1995b. “Internal and External Causal Explanation of the Universe.” Philosophical Studies 79:283-310
270. Smith, Q. 1997. “Simplicity and Why the Universe Exists.” Philosophy 72:125-32
271. Smith, Q. 1999. “The Reason the Universe Exists Is That It Caused Itself to Exist.” Philosophy 74:579-86
272. Smith, Q. 2000. “Problem's with John Earman's Attempt to Reconcile Theism with General Relativity.” Erkenntnis 52:1-27
273. Sorabji, R. 1983. Time, Creation and the Continuum. London: Duckworth
274. Sorenson, R. 1994. “Infinite Decision Theory.” In Jordan (1994)
275. Stroyon, K., and W. Luxemburg. 1976. Introduction to the Theory of Infinitesimals. London: Academic
276. Stump, E. 1997. “Simplicity.” In P. Quinn and C. Taliaferro (eds.), A Companion to Philosophy of Religion. Oxford: Blackwell
277. Sweeney, E. 1993. “Thomas Aquinas' Double Metaphysics of Simplicity and Infinity.” International Philosophical Quarterly 33:297-317
278. Swinburne, R. 1966. “The Beginning of the Universe.” Proceedings of the Aristotelian Society 40:125-38
279. Swinburne, R. 1968. Space and Time. London: Macmillan
280. Taylor, R. 1951. “Mr. Black on Temporal Paradoxes.” Analysis 12:38-44
281. Taylor, R. 1952. “Mr. Wisdom on Temporal Paradoxes.” Analysis 13:15-17
282. Taylor, R. 1963. Metaphysics. Englewood Cliffs: Prentice-Hall
283. Teller, P. 1989. “Infinite Renormalisation.” Philosophy of Science 56:238-57
284. Thomason, S. 1982. “Euclidean Infinitesimals.” Pacific Philosophical Quarterly 63:168-85
285. Thomson, J. 1954. “Tasks and Supertasks.” Analysis 15:1-13
286. Thomson, J. 1970. “Comments on Professor Benacerraf's Paper.” In Salmon (1970), 130-8
287. Tomberlin, J., ed. 1988. Philosophical Perspectives, vol. 2. Atascadero, Calif.: Ridgeview
288. Ushenko, A. 1946. “Zeno's Paradoxes.” Mind 55:151-65
289. Vallentyne, P. 1993. “Utilitarianism and Infinite Utility.” Australasian Journal of Philosophy 71:212-17
290. Vallentyne, P. 1995. “Infinite Utility: Anonymity and Person-Centredness.” Australasian Journal of Philosophy 73:413-20
291. Vallentyne, P., and S. Kagan. 1997. “Infinite Utility and Finitely Additive Value Theory.” Journal of Philosophy 94:5-26
292. Van Bendegem, J. 1987. “Zeno's Paradoxes and the Tile Argument.” Philosophy of Science 54:295-302
293. Van Bendegem, J. 1994. “Ross' Paradox Is an Impossible Super-task.” British Journal for Philosophy of Science 45:743-8
294. Van Cleve, J. 1981. “Reflections on Kant's Second Antimony.” Synthese 47:481-94
295. Van Dantzig, D. 1955. “Is a Finite Number?” Dialectica 9:273-7
296. Van Fraassen, B. 1995. “‘World’ Is Not a Count Noun.” Nous 29:139-57
297. Van Liederkerke, L. 1995. “Should Utilitarians Be Cautious about an Infinite Future?” Australasian Journal of Philosophy 73:405-7
298. Vaught, R. 1995. Set Theory: An Introduction, 2nd ed. Boston: Birkhaüser
299. Vilenkin, N. 1995. In Search of Infinity. Boston: Birkhaüser
300. Vlastos, G. 1966a. “A Note on Zeno's Arrow.” Phronesis 11:3-18
301. Vlastos, G. 1966b. “Zeno's Race Course.” Journal of History of Philosophy 4:95-108
302. Wagner, C. 1999. “Misadventures in Conditional Expectation: The Two Envelope Paradox.” Erkenntnis 51:233-41
303. Walker, R. 1997. “Sufficient Reason.” Proceedings of the Aristotelian Society 97:109-23
304. Watling, J. 1952. “The Sum of an Infinite Series.” Analysis 13:39-46
305. Weingard, R. 1979. “General Relativity and the Length of the Past.” British Journal for the Philosophy of Science 30:170-2
306. Weirich, P. 1984. “The St. Petersburg Gamble and Risk.” Theory and Decision 17:193-202
307. Weyl, H. 1946. Philosophy of Mathematics and Natural Science. Princeton: Princeton University Press
308. White, A. 1965. “Achilles at the Shooting Gallery.” Mind 74:141-2
309. White, M. 1987. “The Spatial Arrow Paradox.” Pacific Philosophical Quarterly 68:71-7
310. Whitrow, G. 1978. “On the Impossibility of an Infinite Past.” British Journal for Philosophy of Science 29:39-45
311. Wiggins, D. 1996. “Sufficient Reason: A Principle in Diverse Guises, Both Ancient and Modern.” Acta Philosophica Fennica 61:117-32
312. Williams, J. 1981. “Justified Belief and the Infinite Regress Argument.” American Philosophical Quarterly 18:85-8
313. Wilson, P. 1991. “What Is the Explanandum of the Anthropic Principle?” American Philosophical Quarterly 28:167-73
314. Wisdom, J. 1941. “Why Achilles Does Not Fail to Catch the Tortoise.” Mind 50:58-73
315. Wisdom, J. 1952. “Achilles on a Physical Racecourse.” Analysis 12:67-72
316. Wittgenstein, L. 1975. Remarks on the Foundations of Mathematics. Oxford: Blackwell
317. Wolfson, H. 1966. “Patristic Arguments against the Eternity of the World.” Harvard Theological Review 59:354-67
318. Wolfson, H. 1976. The Philosophy of the Kalām. Cambridge: Harvard University Press
319. Wright, C. 1985. “Skolem and the Sceptic.” Proceedings of the Aristotelian Society supp. vol.: 116-37
320. Yablo, S. 2000. “A Reply to New Zeno.” Analysis 60:148-51
321. Zabell, S. 1988. “Symmetry and Its Discontents.” In Skyrms and Harper (1988), 155-90
322. Zangari, M. 1994. “Zeno, Zero, and Indeterminate Forms: Instants in the Logic of Motion.” Australasian Journal of Philosophy 72:187-204
323. Zuckero, M. 2001. “A Dissolution of Zeno's Paradoxes of the Dichotomy and the Flight of the Arrow.” Dialogue 43:46-51