Anthropic Bias

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Anthropic Bias: Observation Selection Effects in Science and Philosophy
Anthropic Bias (book).jpg
Author Nick Bostrom
LanguageEnglish
Subject Anthropic principle
Publisher Routledge
Publication date
2002
Media typePrint
Pages240
ISBN 978-0415883948
Followed by Human Enhancement  

Anthropic Bias: Observation Selection Effects in Science and Philosophy (2002) is a book by philosopher Nick Bostrom. Bostrom investigates how to reason when one suspects that evidence is biased by "observation selection effects", in other words, when the evidence presented has been pre-filtered by the condition that there was some appropriately positioned observer to "receive" the evidence. This conundrum is sometimes called the "anthropic principle", "self-locating belief", or "indexical information". [1] [2]

Contents

Self-sampling assumption

The self-sampling assumption (SSA), one of the two major schools of anthropic probability [2] —the other being the self-indication assumption (SIA)—states that:

All other things equal, an observer should reason as if they are randomly selected from the set of all actually existent observers (past, present and future) in their reference class.

For instance, if there is a coin flip that on heads will create one observer, while on tails it will create two, then we have two possible worlds, the first with one observer, the second with two. These worlds are equally probable, hence the SSA probability of being the first (and only) observer in the heads world is 1 2, that of being the first observer in the tails world is 1 2 × 1 2 = 1 4, and the probability of being the second observer in the tails world is also 1 4.

This is why SSA gives an answer of 1 2 probability of heads in the Sleeping Beauty problem.

Unlike SIA, SSA is dependent on the choice of reference class. If the agents in the above example were in the same reference class as a trillion other observers, then the probability of being in the heads world, upon the agent being told they are in the sleeping beauty problem, is ≈ 1 3, similar to SIA.

SSA may imply the doomsday argument depending on the choice of reference class. It is often used in anthropic reasoning.

Bostrom, in his book Anthropic Bias: Observation Selection Effects in Science and Philosophy, has suggested refining SSA to what he calls the strong self-sampling assumption (SSSA), which replaces "observers" in the SSA definition by "observer-moments". This coincides with the intuition that an observer who lives longer has more opportunities to experience herself existing, and it provides flexibility to refine reference classes in certain thought experiments in order to avoid paradoxical conclusions. [2]

Self-indication assumption

The self-indication assumption (SIA) [note 1] is a philosophical principle defined in Anthropic Bias. It states that:

All other things equal, an observer should reason as if they are randomly selected from the set of all possible observers.

Note that "randomly selected" is weighted by the probability of the observers existing: under SIA you are still unlikely to be an unlikely observer, unless there are a lot of them. It is one of the two major schools of anthropic probability, the other being the self-sampling assumption (SSA).

For instance, if there is a coin flip that on heads will create one observer, while on tails it will create two, then we have three possible observers (1st observer on heads, 1st on tails, 2nd on tails). Each of these observers have an equal probability for existence, so SIA assigns 1 3 probability to each. Alternatively, this could be interpreted as saying there are two possible observers (1st observer on either heads or tails, 2nd observer on tails), the first existing with probability one and the second existing with probability 1 2, so SIA assigns 2 3 to being the first observer and 1 3 to being the second - which is the same as the first interpretation.

This is why SIA gives an answer of 1 3 probability of heads in the Sleeping Beauty Problem.

Notice that unlike SSA, SIA is not dependent on the choice of reference class, as long as the reference class is large enough to contain all subjectively indistinguishable observers. If the reference class is large, SIA will make it more likely, but this is compensated by the much reduced probability that the agent will be that particular agent in the larger reference class.

Although this anthropic principle was originally designed as a rebuttal to the doomsday argument (by Dennis Dieks in 1992) it has general applications in the philosophy of anthropic reasoning, and Ken Olum has suggested it is important to the analysis of quantum cosmology.

Ken Olum has written in defense of the SIA. [3] Nick Bostrom and Milan Ćirković have critiqued this defense. [4]

Reviews

A review from Virginia Commonwealth University said the book "deserves a place on the shelf" of those interested in these subjects. [5]

See also

Notes

  1. Nick Bostrom originally used the term SIA in a slightly different way. What is here referred to as SIA, he referred to as the combined SSA+SIA

Related Research Articles

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<span class="mw-page-title-main">Nick Bostrom</span> Philosopher and writer (born 1973)

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<span class="mw-page-title-main">Fine-tuned universe</span> Hypothesis about life in the universe

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<span class="mw-page-title-main">Doomsday argument</span> Doomsday scenario on human births

The doomsday argument (DA), or Carter catastrophe, is a probabilistic argument that claims to predict the future population of the human species based on an estimation of the number of humans born to date. The doomsday argument was originally proposed by the astrophysicist Brandon Carter in 1983, leading to the initial name of the Carter catastrophe. The argument was subsequently championed by the philosopher John A. Leslie and has since been independently conceived by J. Richard Gott and Holger Bech Nielsen. Similar principles of eschatology were proposed earlier by Heinz von Foerster, among others. A more general form was given earlier in the Lindy effect, which proposes that for certain phenomena, the future life expectancy is proportional to the current age and is based on a decreasing mortality rate over time.

The Great Filter is the idea that, in the development of life from the earliest stages of abiogenesis to reaching the highest levels of development on the Kardashev scale, there is a barrier to development that makes detectable extraterrestrial life exceedingly rare. The Great Filter is one possible resolution of the Fermi paradox.

<span class="mw-page-title-main">Human extinction</span> Hypothetical end of the human species

Human extinction or omnicide is the hypothetical end of the human species, either by population decline due to extraneous natural causes, such as an asteroid impact or large-scale volcanism, or via anthropogenic destruction (self-extinction), for example by sub-replacement fertility.

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The self-referencing doomsday argument rebuttal is an attempt to refute the doomsday argument by applying the same reasoning to the lifetime of the doomsday argument itself.

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<span class="mw-page-title-main">Sleeping Beauty problem</span> Mathematical problem

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<span class="mw-page-title-main">Future of Humanity Institute</span> Defunct Oxford interdisciplinary research centre

The Future of Humanity Institute (FHI) was an interdisciplinary research centre at the University of Oxford investigating big-picture questions about humanity and its prospects. It was founded in 2005 as part of the Faculty of Philosophy and the Oxford Martin School. Its director was philosopher Nick Bostrom, and its research staff included futurist Anders Sandberg and Giving What We Can founder Toby Ord.

<span class="mw-page-title-main">Boltzmann brain</span> Philosophical thought experiment

The Boltzmann brain thought experiment suggests that it might be more likely for a brain to spontaneously form in space, complete with a memory of having existed in our universe, rather than for the entire universe to come about in the manner cosmologists think it actually did. Physicists use the Boltzmann brain thought experiment as a reductio ad absurdum argument for evaluating competing scientific theories.

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2002 in philosophy

References

  1. "Anthropic Bias | anthropic-principle.com". www.anthropic-principle.com. Retrieved 2015-11-03.
  2. 1 2 3 Nick Bostrom, Anthropic Bias: Observation Selection Effects in Science and Philosophy (New York: Routledge, 2002).
  3. Olum, Ken (2002). "The Doomsday Argument and the Number of Possible Observers". Philosophical Quarterly. 52 (207): 164–184. arXiv: gr-qc/0009081 . doi:10.1111/1467-9213.00260. S2CID   14707647.
  4. Nick Bostrom; Milan Cirkovic (2003). "The doomsday argument and the self-indication assumption: reply to Olum" (PDF). Philosophical Quarterly. 53 (210): 83–91. doi:10.1111/1467-9213.00298.
  5. Manson, Neil (2003-02-09). "Anthropic Bias: Observation Selection Effects in Science and Philosophy". University of Notre Dame . Retrieved 2015-11-21.