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As somebody who understands this stuff, I think it's (unfortunately) not reasonable to remove much of the jargon. Much of this article is philosophy, but it is primarily an article about mathematical logic. The difference between first order and second order statements and sentences is very
511:-- I added the parenthetical above, but I am actually not well versed in the subject and so someone with more familiarity should probably review that change and add a more appropriate clarification if this one is not correct. I based my understanding on:
466:"Boolos argued that 2nd-order monadic existential quantification may be systematically interpreted in terms of plural existential quantification, and that, therefore, 2nd-order monadic existential quantification is 'ontologically innocent'".
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technical, and cannot really be dumbed down. This sort of technical language is necessary for many articles dealing heavily with mathematics, especially when dealing with metamathematics.
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If x is a singular variable symbol and \bar{y} is a plural variable symbol, then x \prec \bar{y} is a sentence (where ≺ is usually interpretted as the relation "is one of")
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Knowledge. If you would like to support the project, please visit the project page, where you can get more details on how you can help, and where you can join the
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