Talk:Monadic predicate calculus

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[edit] Syllogisms

I don't follow. Syllogistic logic should be binary or dyadic: All A is B is a function of two variables, isn't it? Septentrionalis 20:07, 19 November 2006 (UTC)

No. In modern notation "Every A is a B" would be rendered \forall x.A(x)\Rightarrow B(x). Remember that A and B are (mondaic) predicates, not individuals. From a modern viewpoint, the problem of multiple generality is that one cannot usefully nest quantifiers without a formal machinery for speaking about multiary predicates. Henning Makholm 20:18, 19 November 2006 (UTC)
I see what you mean; it might be helpful to put this in the article. Septentrionalis 22:42, 19 November 2006 (UTC)
I have tried to improve the description. Better now? Henning Makholm 00:03, 20 November 2006 (UTC)


This article may be too technical for a general audience.
Please help improve this article by providing more context and better explanations of technical details to make it more accessible, without removing technical details.

Please make this article more accessible to the lay reader. 69.140.173.15 17:01, 25 November 2006 (UTC)

[edit] MSO

as far as i know in monadic second order logic only the second order variables have arity 1. --84.148.78.213 19:29, 24 March 2007 (UTC)