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Mere addition paradox

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original steps. For example, the next iteration would add even more people to B+, and then take the average of the total happiness, resulting in C−. If these steps are repeated over and over, the eventual result will be Z, a massive population with the minimum level of average happiness; this would be a population in which every member is leading a life barely worth living. Parfit claims that it is Z that is the repugnant conclusion.
2221: 1705: 1695: 411: 394:(1984). The paradox identifies the mutual incompatibility of four intuitively compelling assertions about the relative value of populations. Parfit’s original formulation of the repugnant conclusion is that "For any perfectly equal population with very high positive welfare, there is a population with very low positive welfare which is better, other things being equal." 2209: 503:
However, Parfit argues that the above discussion fails to appreciate the true source of repugnance. He claims that initially, it may not be wrong to think that B is better than A. Assuming this is true, as Huemer argues, it follows that this revised intuition must hold in subsequent iterations of the
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was presented in a paper by Hassoun in 2010. It identifies paradoxical reasoning that occurs when certain statistical measures are used to calculate results over a population. For example, if a group of 100 people together control $ 100 worth of resources, the average wealth per capita is $ 1. If a
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is a property of theories of population ethics that is a stronger version of the repugnant conclusion. It states that according to some ethical theories, for any population where everyone has very high well-being, there exists a better population consisting of two groups: a significant number of
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single rich person then arrives with 1 million dollars, then the total group of 101 people controls $ 1,000,100, making average wealth per capita $ 9,901, implying a drastic shift away from poverty even though nothing has changed for the original 100 people. Hassoun defines a
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A+ seems no worse than A. This is because the people in A are no worse-off in A+, while the additional people who exist in A+ are better off in A+ compared to A, since it is stipulated that their lives are good enough that it is better for them to be alive than to not
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Zuber, Stéphane; Venkatesh, Nikhil; Tännsjö, Torbjörn; Tarsney, Christian; Stefánsson, H. Orri; Steele, Katie; Spears, Dean; Sebo, Jeff; Pivato, Marcus; Ord, Toby; Ng, Yew-Kwang; Masny, Michal; MacAskill, William; Lawson, Nicholas; Kuruc, Kevin (2021-04-13).
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to be used for judging such statistical measures: "merely adding a rich person to a population should not decrease poverty" (although acknowledging that in actual practice adding rich people to a population may provide some benefit to the whole population).
407:. Unlike A and B, A+ and B− are complex populations, each comprising two distinct groups of people. It is also stipulated that the lives of the members of each group are good enough that they would rather be alive than not exist. 473:
Thus, there is a paradox. The following intuitively plausible claims are jointly incompatible: (1) that A+ is no worse than A, (2) that B− is better than A+, (3) that B− is as good as B, and (4) that B can be worse than A.
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When we directly compare A (a population with high average happiness) and B (a population with lower average happiness, but more total happiness because of its larger population), it may seem that B can be worse than
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Parfit considers four populations, as depicted in the following diagram: A, A+, B− and B. Each bar represents a distinct group of people. The bars' width represents group size while the bar's height represents group
490:. The inconsistency could then be resolved by rejecting the assumption. According to this view, although A+ is no worse than A, and B− is better than A+, it does not follow that B− is better than A. 496:
argues that the intuition that B is worse than A is wrong. While the lives of those in B are worse than those in A, there are more of them, and thus the collective value of B is greater than A.
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and Stuart Rachels, argue that inconsistencies between the four claims (above) rely on the assumption that the "better than" relation is
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B seems equally as good as B−, as the only difference between B− and B is that the two groups in B− are merged to form one group in B.
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Together, these three comparisons entail that B is better than A. However, Parfit also observes the following:
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people with very negative well-being, and a much larger number of people having barely positive welfare.
538:, which would result in situation A+ being evaluated as worse than A, as the average happiness is lower. 2123: 1826: 1553: 1497: 1382: 1217: 630: 615: 1670: 1655: 1630: 1625: 1477: 2153: 2108: 2076: 2071: 1997: 1972: 1928: 1675: 1660: 1650: 1615: 1563: 1492: 1407: 1279: 1274: 1197: 1192: 1121: 610: 600: 163: 95: 2224: 2002: 1833: 1784: 1727: 1437: 1397: 1361: 1294: 1161: 1131: 1126: 1096: 1061: 1056: 926: 605: 579: 487: 390: 273: 148: 2128: 2066: 1854: 1843: 1821: 1816: 1805: 1708: 1665: 1645: 1585: 1558: 1356: 1309: 1299: 1212: 1076: 1018: 753: 323: 238: 153: 1610: 1257: 1252: 1242: 1207: 1116: 2103: 1977: 1870: 1779: 1698: 1680: 1620: 1600: 1590: 1517: 1502: 1422: 1417: 1247: 1202: 1071: 894: 812: 678: 595: 524: 335: 318: 2179: 2174: 1960: 1955: 1838: 1794: 1640: 1605: 1580: 1532: 1457: 1432: 1427: 1339: 1329: 1304: 802: 794: 745: 439:
B− seems better than A+. This is because B− has greater total and average happiness than A+.
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Another Mere Addition Paradox? Some Reflections on Variable Population Poverty Measurement
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Torbjörn, Tännsjö (November 2002). "Why We Ought to Accept the Repugnant Conclusion".
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Parfit makes the following three suggestions regarding the value of the populations:
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Huemer, M. (2008), "In defence of repugnance" Mind, 117, 899-933.
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On the Buddhist Truths and the Paradoxes in Population Ethics
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also argues that the repugnant conclusion is not repugnant.
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International Conference on Population and Development
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The Repugnant Conclusion. Essays on Population Ethics
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New York: Oxford University Press. 7: 2208: 664: 662: 507:A number of philosophers (including 2144:Voluntary Human Extinction Movement 997:Stanford Encyclopedia of Philosophy 835:Stanford Encyclopedia of Philosophy 1351:What the Tortoise Said to Achilles 14: 2036:Population and Development Review 848:Arrhenius, Gustaf (2024-07-12) . 2220: 2219: 2207: 2084:Population concern organizations 1790:Projections of population growth 1704: 1703: 1693: 978:, UNU-WIDER Working Paper 2010, 591:Average and total utilitarianism 2185:Human impact on the environment 2119:Population Action International 955:. 16 (2) (Spring 1987): 138–187 850:"The Very Repugnant Conclusion" 559:An alternative use of the term 2134:United Nations Population Fund 534:must be rejected in favour of 244:Utilitarian social choice rule 1: 2251:Thought experiments in ethics 976:Another Mere Addition Paradox 953:Philosophy and Public Affairs 704:Philosophy and Public Affairs 586:Asymmetry (population ethics) 893:. UNU-WIDER. November 2010. 2159:World Population Foundation 2149:World Population Conference 2062:World population milestones 2282: 2031:Population and Environment 969:Edinburgh University Press 831:"The Repugnant Conclusion" 388:and discussed in his book 2203: 1941:Human population planning 1765:Demographics of the world 1689: 964:Hedonistic Utilitarianism 799:10.1017/S095382082100011X 750:10.1017/S0953820800003642 698:S. Temkin, Larry (1987). 548:Very Repugnant Conclusion 1946:Compulsory sterilization 992:The Repugnant Conclusion 717:Rachels, Stuart (2001). 2256:Philosophical paradoxes 1888:Malthusian growth model 1270:Paradoxes of set theory 932:Oxford University Press 652:, Reasons and Persons ( 482:Some scholars, such as 279:Replaceability argument 264:Demandingness objection 137:Types of utilitarianism 62:Claude Adrien Helvétius 2015:Zero population growth 2010:Sustainable population 1934:Malthusian catastrophe 1893:Overshoot (population) 1770:Demographic transition 669:Parfit, Derek (1984). 566:no mere addition axiom 536:average utilitarianism 414: 314:Neoclassical economics 304:Rational choice theory 2124:Population Connection 1988:Mere addition paradox 1827:Physiological density 1003:Contestabile, Bruno. 631:Industrial Revolution 616:Person-affecting view 561:mere addition paradox 413: 374:mere addition paradox 269:Mere addition paradox 2154:World Population Day 2109:Church of Euthanasia 1998:Non-identity problem 1973:Political demography 1929:Human overpopulation 1636:Kavka's toxin puzzle 1408:Income and fertility 611:Human overpopulation 601:Ecological footprint 532:total utilitarianism 378:repugnant conclusion 2003:Reproductive rights 1834:Population dynamics 1785:Population momentum 1295:Temperature paradox 1218:Free choice paradox 1082:Fitch's knowability 927:Reasons and Persons 673:Reasons and Persons 606:Nonidentity problem 580:A Theory of Justice 391:Reasons and Persons 376:(also known as the 274:Paradox of hedonism 234:Equal consideration 2266:1984 introductions 2129:Population Matters 1844:Population pyramid 1822:Population density 1817:Population decline 1671:Prisoner's dilemma 1357:Heat death paradox 1345:Unexpected hanging 1310:Chicken or the egg 415: 380:) is a problem in 324:Effective altruism 239:Felicific calculus 2246:Population ethics 2233: 2232: 2104:7 Billion Actions 1978:Population ethics 1871:Carrying capacity 1780:Population growth 1717: 1716: 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Hare 57:David Hume 52:Shantideva 2190:Migration 2067:6 billion 1681:Willpower 1676:Tolerance 1651:Newcomb's 1616:Fredkin's 1503:Scitovsky 1423:Edgeworth 1418:Easterlin 1383:Antitrust 1280:Russell's 1275:Richard's 1248:Pinocchio 1203:Crocodile 1122:Newcomb's 1092:Goodman's 1087:Free will 1072:Epicurean 1043:paradoxes 817:0953-8208 758:233360601 478:Responses 405:happiness 219:Happiness 204:Suffering 179:Classical 159:Two-level 2225:Category 1993:Natalism 1916:Eugenics 1709:Category 1606:Ellsberg 1458:Leontief 1438:Gibson's 1433:European 1428:Ellsberg 1398:Braess's 1393:Bertrand 1371:Economic 1305:Catch-22 1285:Socratic 1127:Nihilism 1097:Hedonism 1057:Analysis 1041:Notable 906:31 March 787:Utilitas 738:Utilitas 573:See also 542:Variants 521:Toby Ord 257:Problems 209:Pleasure 144:Negative 24:a series 22:Part of 2214:Commons 1857:ecology 1808:biology 1611:Fenno's 1576:Arrow's 1559:Alabama 1549:Abilene 1528:Tullock 1483:Metzler 1325:Lottery 1315:Drinker 1258:Yablo's 1253:Quine's 1208:Curry's 1171:Logical 1147:Sorites 1137:Preface 1117:Moore's 1102:Liberal 1077:Fiction 214:Utility 169:Average 1924:genics 1518:Thrift 1488:Plenty 1463:Lerner 1453:Jevons 1448:Icarus 1378:Allais 1340:Ross's 1178:Barber 1162:Zeno's 1107:Meno's 897:  815:  756:  681:  427:exist. 382:ethics 2045:Lists 1621:Green 1601:Downs 1533:Value 1468:Lucas 1335:Raven 1243:No-no 1198:Court 1183:Berry 971:1998. 934:1986. 754:S2CID 637:Notes 164:Total 1699:List 1523:Toil 1238:Card 1233:Liar 908:2015 895:ISBN 813:ISSN 723:Noûs 679:ISBN 546:The 527:. 519:and 372:The 199:Pain 149:Rule 47:Mozi 1922:Dys 951:", 947:. " 803:hdl 795:doi 746:doi 154:Act 2242:: 967:. 961:. 867:. 833:. 811:. 801:. 791:33 789:. 785:. 752:. 742:14 740:. 721:. 702:. 661:^ 515:, 511:, 467:A. 464:4. 449:3. 437:2. 424:1. 26:on 2077:8 2072:7 1743:e 1736:t 1729:v 1353:" 1349:" 1034:e 1027:t 1020:v 1000:) 994:( 981:. 910:. 877:. 852:. 837:. 819:. 805:: 797:: 760:. 748:: 725:. 706:. 687:. 361:e 354:t 347:v

Index

a series
Utilitarianism
Mozi
Shantideva
David Hume
Claude Adrien Helvétius
Cesare Beccaria
William Godwin
Francis Hutcheson
William Paley
Key proponents
Jeremy Bentham
John Stuart Mill
Henry Sidgwick
R. M. Hare
Peter Singer
Negative
Rule
Act
Two-level
Total
Average
Preference
Classical
Pain
Suffering
Pleasure
Utility
Happiness
Eudaimonia

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