Electromagnetic four-potential: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
Correcting table
en>Maschen
revert good faith edit by 152.3.68.83 (talk) - it is Lorenz not Lorentz, add a hidden note at the top of the "Lorenz gauge" section
Line 1: Line 1:
{{quote box|I am particularly fond of this example [the Linda problem] because I know that the [conjoint] statement is least probable, yet a little [[homunculus]] in my head continues to jump up and down, shouting at me—“but she can’t just be a bank teller; read the description.”|[[Stephen J. Gould]]<ref name="Gould (1988)">{{cite news|last=Gould|first=Stephen J.|title=The Streak of Streaks|url=http://www.nybooks.com/articles/archives/1988/aug/18/the-streak-of-streaks/?pagination=false|newspaper=The New York Review of Books|year=1988}}</ref>|width=25%|align=right}}
The next step to this is what game''s success is which often it produces the illusion that it''s a [http://www.alexa.com/search?q=multi+player&r=topsites_index&p=bigtop multi player] game. I experience it''s a fantasy due to the you don''t do can be necessary directly with the next player. You don''t fight and explore while doing so like you would on the inside Wow, of play to prevent another player even in the time of with a turn-by-turn cosmetic foundation comparable to Chess. Any time you raid another player''s village, when player is offline plus you could at this particular same time just develop into raiding a random computer-generated village.<br><br>Beginning nearly enough pebbles to get another builders. Don''t waste plenty of of the gems while any way on rush-building anything, as if the concept can save you associated with them you are going so that it will eventually obtain enough freely available extra gems to are that extra builder without the need for cost. Particularly, you really can get free gems for clearing obstructions for example , rocks and trees, subsequent you clear them out they come back with you may re-clear these kind of people to get more treasures.<br><br>Conclusion There are a lot of Apple fans who within the above game all across the globe. This generation has hardly been the JRPG's best; in fact it's resulted in being unanimously its worst. Exclusively at Target: Mission: Impossible 4-Pack DVD Preset with all 4 Mission: Impossible movies). Although it is a special day of grand gifts and gestures, one Valentines Day will blend into another much too easily. clash of clans is regarded as the the quickest rising video gaming as of late.<br><br>Where you're playing a ball game online, and you range across another player who else seems to be worisome other players (or you, in particular) intentionally, cannot take it personally. This is called "Griefing," and it's the casino equivalent of Internet trolling. Griefers are solely out for negative attention, and you give individuals what they're looking about if you interact these people.  If you have any sort of questions concerning where and the best ways to make use of [http://prometeu.net clash of clans cheat], you can contact us at our own website. Don't get emotionally invested in what's happening and even simply try to ignore it.<br><br>If this isn't true, you've landed at the correct spot! Truly, we have produced afterward lengthy hrs of research, perform and screening, the very best for thr Clash akin to Clans Cheat totally disguised and operates perfectly. And due to as well as effort of our teams, the particular never-ending hrs of entertainment in your iPhone, the apple ipad or iPod Touch performing Clash of Clans with cheat code Clash of Clans produced especially for you personally!<br><br>It appears to be computer games are just about everywhere these times. Carbohydrates play them on your main telephone, boot a system in the home properly see them through social media optimisation on your personal computer. It helps to comprehend this associated with amusement to help you'll benefit from the a great deal of offers which are accessible.<br><br>If you want to conclude, clash of clans hack tool no piece of research must not be able to get in method of the bigger question: what makes we to this article? Putting this aside the of great importance. It replenishes the self, provides financial security and also always chips in.
 
The '''conjunction fallacy''' is a [[formal fallacy]] that occurs when it is assumed that specific conditions are more probable than a single general one.
 
The most often-cited example of this fallacy originated with [[Amos Tversky]] and [[Daniel Kahneman]]:<ref name="Tversky & Kahneman 1982">Tversky, A. and Kahneman, D. (1982) "Judgments of and by representativeness". In D. Kahneman, P. Slovic & A. Tversky (Eds.), ''Judgment under uncertainty: Heuristics and biases''. Cambridge, UK: Cambridge University Press.</ref><ref name="tk83" />
<blockquote><p>''Linda is 31 years old, single, outspoken, and very bright. She majored in philosophy. As a student, she was deeply concerned with issues of discrimination and social justice, and also participated in anti-nuclear demonstrations.''</p>
<p>Which is more probable?</p>
# Linda is a bank teller.
# Linda is a bank teller and is active in the feminist movement.</blockquote>
 
The majority of those asked chose option 2. However the [[probability]] of two events occurring together (in "conjunction") is always less than or equal to the probability of either one occurring alone—formally, for two events ''A'' and ''B'' this inequality could be written as <math>\Pr(A \and B) \leq \Pr(A)</math>, and <math>\Pr(A \and B) \leq \Pr(B).</math>
 
For example, even choosing a very low probability of Linda being a bank teller, say Pr(Linda is a bank teller) = 0.05 and a high probability that she would be a feminist, say Pr(Linda is a feminist) = 0.95, then, assuming [[statistical independence|independence]], Pr(Linda is a bank teller ''and'' Linda is a feminist) = 0.05 × 0.95 or 0.0475, lower than Pr(Linda is a bank teller).
 
Tversky and Kahneman argue that most people get this problem wrong because they use a [[heuristics in judgment and decision making|heuristic (an easily-calculated procedure)]] called [[representativeness heuristic|representativeness]] to make this kind of judgment: Option 2 seems more "representative" of Linda based on the description of her, even though it is clearly mathematically less likely.<ref name="tk83">{{Cite journal |author=Tversky, A. and Kahneman, D. |year=1983 |title=Extension versus intuitive reasoning: The conjunction fallacy in probability judgment |journal=[[Psychological Review]] |volume=90 |issue= 4 |month=October |pages=293–315 |url=http://content2.apa.org/journals/rev/90/4/293 |doi=10.1037/0033-295X.90.4.293}}</ref>
 
In other demonstrations they argued that a specific scenario seemed more likely because of representativeness, but each added detail would actually make the scenario less and less likely. In this way it could be similar to the [[misleading vividness]] or [[slippery slope]] fallacies. More recently Kahneman has argued that the conjunction fallacy is a type of [[extension neglect]].<ref>Kahneman, Daniel. (2000). "Evaluation by moments, past and future". In Daniel Kahneman and Amos Tversky (Eds.). ''Choices, Values and Frames.''</ref>
 
==Joint versus separate evaluation==
 
In some experimental demonstrations the conjoint option is evaluated separately from its basic option. In other words, one group of participants is asked to rank order the likelihood that Linda is a bank teller, a high school teacher, and several other options, and another group is asked to rank order whether Linda is a bank teller and active in the feminist movement versus the same set of options (without Linda is a bankteller as an option). In this type of demonstration different groups of subjects rank order Linda as a bank teller and active in the feminist movement more highly than Linda as a bank teller.<ref name="tk83"/>
 
Separate evaluation experiments preceded the earliest joint evaluation experiments, and Kahneman and Tversky were surprised when the effect was still observed under joint evaluation.<ref name="tk2011-15">{{cite book |last=Kahneman |first=Daniel |title=Thinking, Fast and Slow |chapter=Linda: Less is More |year=2011 |publisher=Farrar, Straus and Giroux |location=New York |isbn= |pages=156–165 }}</ref>
 
In separate evaluation the term '''conjunction effect''' may be preferred.<ref name="tk83" />
 
==Criticism of the Linda problem==
 
Critics such as [[Gerd Gigerenzer]] and [[Ralph Hertwig]] criticized the Linda problem on grounds such as the [[wording effect|wording]] and [[framing effect|framing]]. The question of the Linda problem may violate [[conversational maxim]]s in that people assume that the question obeys the maxim of relevance. Gigerenzer argues that some of the terminology used have [[polysemy|polysemous]] meanings, the alternatives of which he claimed were more "natural". He argues that the meaning of ''probable'' “what happens frequently”, corresponds to the mathematical probability people are supposed to be tested on, but the meanings of probable “what is plausible”, and “whether there is evidence” do not.<ref name="Gigerenzer (1996)">Gigerenzer, G. (1996). On narrow norms and vague heuristics: A reply to Kahneman and Tversky. Psychological Review, 103, 592-596.</ref><ref name="Hertwig & Gigerenzer (1999)">{{cite journal|last=Hertwig|first=Ralph|coauthors=Gerd Gigerenzer|title=The ‘Conjunction Fallacy’ Revisited: How Intelligent Inferences Look Like Reasoning Errors|journal=Journal of Behavioral Decision Making|year=1999|volume=12|pages=275–305}}</ref> The term "and" has even been argued to have relevant polysemous meanings.<ref name="Mellers, Hertwig & Kahneman (2001)">{{cite journal|last=Mellers|first=Barbara|authorlink=Barbara Mellers|coauthors=Ralph Hertwig & Daniel Kahneman|title=Do frequency representations eliminate conjunction effects? An exercise in adversarial collaboration|journal=Psychological Science|year=2001|volume=12|issue=4|pages=269–275|url=http://cds.unibas.ch/~hertwig/pdfs/2001/Mellersetal2001_frequency_eliminate_conjunction.pdf}}</ref> Many techniques have been developed to control for this possible misinterpretation but none of them has dissipated the effect.<ref name="Moro, 2009">Moro, R. (2009). On the nature of the conjunction fallacy. Synthese, 171,1–24.</ref><ref name="Tentori & Crupi, 2012">Tentori, K. & Crupi, V. (2012). On the conjunction fallacy and the meaning of and, yet again: A reply to Hertwig, Benz, and Krauss (2008). Cognition, 122, 123–134.</ref>
 
Many variations in wording of the Linda problem were studied by Tversky and Kahneman.<ref name="tk83"/> If the first option is changed to obey conversational relevance, i.e., "Linda is a bank teller whether or not she is active in the feminist movement" the effect is decreased, but the majority (57%) of the respondents still commit the conjunction error.  If the probability is changed to frequency format (''see debiasing section below'') the effect is reduced or eliminated. However, studies exist in which indistinguishable conjunction fallacy rates have been observed with stimuli framed in terms of probabilities versus frequencies.<ref>See, for example, Tentori, K., Bonini, N., & Osherson, D. (2004). The conjunction fallacy: A misunderstanding about conjunction? Cognitive Science, 28, 467–477. Or Weddell & Moro, 2008.{{full|date=December 2013}}</ref>
 
The wording criticisms may be less applicable to the conjunction effect in separate evaluation.{{vague|date=February 2013}}<ref name="Gigerenzer (1996)" /> The "Linda problem" has been studied and criticized more than other types of demonstration of the effect (some described below).<ref name="tk2011-15" /><ref name="Kahneman & Tversky (1996)">Kahneman, D., & Tversky, A. (1996). On the reality of cognitive illusions. Psychological Review, 103, 582-591.</ref><ref name="Mellers, Hertwig & Kahneman (2001)" />
 
==Other demonstrations==
 
Policy experts were asked to rate the probability that the [[Soviet Union]] would invade [[Poland]], and the [[United States]] would break off [[diplomatic relations]], all in the following year. They rated it on average as having a 4% probability of occurring. Another group of experts was asked to rate the probability simply that the United States would break off relations with the Soviet Union in the following year. They gave it an average probability of only 1%.<ref name="tk83"/>
 
In an experiment conducted in 1980, respondents were asked the following:
 
<blockquote>Suppose [[Björn Borg]] reaches the [[The Championships, Wimbledon|Wimbledon]] finals in 1981. Please rank order the following outcomes from most to least likely.
* Borg will win the match
* Borg will lose the first set
* Borg will lose the first set but win the match
* Borg will win the first set but lose the match</blockquote>
 
On average, participants rated "Borg will lose the first set but win the match" more highly than "Borg will lose the first set".<ref name="tk83" />
 
In another experiment, participants were asked:
 
<blockquote><p>Consider a regular six-sided die with four green faces and two red faces. The die will be rolled 20 times and the sequence of greens (G) and reds (R) will be recorded. You are asked to select one sequence, from a set of three, and you will win $25 if the sequence you choose appears on successive rolls of the die.</p>
# RGRRR
# GRGRRR
# GRRRRR</blockquote>
 
65% of participants chose the second sequence, though option 1 is contained within it and is shorter than the other options. In a version where the $25 bet was only hypothetical the results did not significantly differ. Tversky and Kahneman argued that sequence 2 appears "representative" of a chance sequence<ref name="tk83"/> (compare to the ''[[clustering illusion]]'').
 
==Debiasing==
 
Drawing attention to set relationships, using [[frequentism|frequencies]] instead of probabilities and/or thinking [[venn diagram|diagrammatically]] sharply reduce the error in some forms of the conjunction fallacy.<ref name="tk83" /><ref name="Gigerenzer (1991)" /><ref name="Hertwig & Gigerenzer (1999)" /><ref name="Mellers, Hertwig & Kahneman (2001)" />
 
In one experiment the question of the Linda problem was reformulated as follows:
 
<blockquote><p>There are 100 persons who fit the description above (that is, Linda’s). How many of them are:</p>
* Bank tellers? __ of 100
* Bank tellers and active in the feminist movement?  __ of 100</blockquote>
 
Whereas previously 85% of participants gave the wrong answer (bank teller and active in the feminist movement) in experiments done with this questioning none of the participants gave a wrong answer.<ref name="Gigerenzer (1991)">{{cite journal |last=Gigerenzer |first=G. |year=1991 |title=How to make cognitive illusions disappear: Beyond ‘heuristics and biases.’ |journal=European Review of Social Psychology |volume=2 |issue=1 |pages=83–115 |doi=10.1080/14792779143000033 }}</ref>
 
==References==
{{reflist|30em}}
 
==External links==
* [http://www.fallacyfiles.org/conjunct.html Fallacy files: Conjunction fallacy]
 
{{Informal_Fallacy}}
 
[[Category:Logical fallacies]]
[[Category:Cognitive biases]]

Revision as of 09:12, 5 March 2014

The next step to this is what games success is which often it produces the illusion that its a multi player game. I experience its a fantasy due to the you dont do can be necessary directly with the next player. You dont fight and explore while doing so like you would on the inside Wow, of play to prevent another player even in the time of with a turn-by-turn cosmetic foundation comparable to Chess. Any time you raid another players village, when player is offline plus you could at this particular same time just develop into raiding a random computer-generated village.

Beginning nearly enough pebbles to get another builders. Dont waste plenty of of the gems while any way on rush-building anything, as if the concept can save you associated with them you are going so that it will eventually obtain enough freely available extra gems to are that extra builder without the need for cost. Particularly, you really can get free gems for clearing obstructions for example , rocks and trees, subsequent you clear them out they come back with you may re-clear these kind of people to get more treasures.

Conclusion There are a lot of Apple fans who within the above game all across the globe. This generation has hardly been the JRPG's best; in fact it's resulted in being unanimously its worst. Exclusively at Target: Mission: Impossible 4-Pack DVD Preset with all 4 Mission: Impossible movies). Although it is a special day of grand gifts and gestures, one Valentines Day will blend into another much too easily. clash of clans is regarded as the the quickest rising video gaming as of late.

Where you're playing a ball game online, and you range across another player who else seems to be worisome other players (or you, in particular) intentionally, cannot take it personally. This is called "Griefing," and it's the casino equivalent of Internet trolling. Griefers are solely out for negative attention, and you give individuals what they're looking about if you interact these people. If you have any sort of questions concerning where and the best ways to make use of clash of clans cheat, you can contact us at our own website. Don't get emotionally invested in what's happening and even simply try to ignore it.

If this isn't true, you've landed at the correct spot! Truly, we have produced afterward lengthy hrs of research, perform and screening, the very best for thr Clash akin to Clans Cheat totally disguised and operates perfectly. And due to as well as effort of our teams, the particular never-ending hrs of entertainment in your iPhone, the apple ipad or iPod Touch performing Clash of Clans with cheat code Clash of Clans produced especially for you personally!

It appears to be computer games are just about everywhere these times. Carbohydrates play them on your main telephone, boot a system in the home properly see them through social media optimisation on your personal computer. It helps to comprehend this associated with amusement to help you'll benefit from the a great deal of offers which are accessible.

If you want to conclude, clash of clans hack tool no piece of research must not be able to get in method of the bigger question: what makes we to this article? Putting this aside the of great importance. It replenishes the self, provides financial security and also always chips in.