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Simplicity
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==In philosophy of science== There is a widespread philosophical presumption that simplicity is a theoretical virtue. This presumption that simpler theories are preferable appears in many guises. Often it remains implicit; sometimes it is invoked as a primitive, self-evident proposition; other times it is elevated to the status of a ‘Principle’ and labeled as such (for example, the 'Principle of Parsimony'.<ref>{{Citation |last=Baker |first=Alan |title=Simplicity |date=2022 |url=https://plato.stanford.edu/archives/sum2022/entries/simplicity/ |encyclopedia=The Stanford Encyclopedia of Philosophy |editor-last=Zalta |editor-first=Edward N. |access-date=2023-04-05 |edition=Summer 2022 |publisher=Metaphysics Research Lab, Stanford University}}</ref> According to [[Occam's razor]], all other things being equal, the ''simplest'' theory is most likely true. In other words, simplicity is a meta-scientific criterion by which scientists evaluate competing theories. A distinction is often made by many persons {{by whom|date=April 2015}} between two senses of simplicity: [[syntactic simplicity]] (the number and complexity of hypotheses), and [[ontological simplicity]] (the number and complexity of things postulated). These two aspects of simplicity are often referred to as [[elegance]] and [[Occam's razor|parsimony]] respectively.<ref> {{cite encyclopedia |last= Baker |first= Alan |author-link= Alan Baker (philosopher) |editor-last= Zalta |editor-first= Edward N. |editor-link= Edward N. Zalta |encyclopedia= Stanford Encyclopedia of Philosophy |title= Simplicity |url= http://plato.stanford.edu/entries/simplicity/ |access-date= 2015-04-26 |edition= Fall 2013 |date= 2010-02-25 |quote= A distinction is often made between two fundamentally distinct senses of simplicity: syntactic simplicity (roughly, the number and complexity of hypotheses), and ontological simplicity (roughly, the number and complexity of things postulated). [...] These two facets of simplicity are often referred to as ''elegance'' and ''parsimony'' respectively. [...] The terms ‘parsimony’ and ‘simplicity’ are used virtually interchangeably in much of the philosophical literature. }} </ref> [[John von Neumann]] defines simplicity as an important esthetic criterion of scientific models: {{Blockquote|[...] (scientific model) must satisfy certain esthetic criteria - that is, in relation to how much it describes, it must be rather simple. I think it is worth while insisting on these vague terms - for instance, on the use of word rather. One cannot tell exactly how "simple" simple is. [...] Simplicity is largely a matter of historical background, of previous conditioning, of antecedents, of customary procedures, and it is very much a function of what is explained by it.<ref> {{cite book |title=The Unity of Knowledge |last=von Neumann |first=John |editor-last=Leary |editor-first=Lewis |chapter=Method in the Physical Sciences |publisher=Garden City |location=N.J. |year=1955 }} </ref>}}
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