References and Footnotes

These are footnotes and references for the introduction to situation theory series of articles.

Footnotes

*1*The appropriateness of an object is determined in some way by a role associated with the argument.

*2* This is not precisely true. Some situation theorists distinguish between so-called Austinian and Russelian propositions. Infons express Russelian propositions and are true if and only if some situation supports that infon. A more thorough treatment of this controversial distinction will be given later.

*3*A state of affairs is an infon in which all parameters have been replaced by some object. Or conversely, an infon is a parametric state of affairs. However it is common in situation theory to use the term infon to cover both parametric and non-parametric states of affairs.

*4* We write \(\bar{\sigma }\) to indicate the dual of an infon, but we do not necessarily wish to indicate the logical operation of negation, for a variety of reasons to be discussed later.

*5*A basic state of affairs or infon may be one built upon the conjunction or disjunction of two or more states of affairs. However states of affairs involving negation or quantifiers are not basic infons. Many situation theorists consider the negation of quantified infons to be not well formed, mainly because a negated non-basic infon may not satisfy the principle of persistence (Barwise 1989).

*6* However the law of non-contradiction is retained. This indicates a similarity to intuitionistic logic.

*7* Note that Israel and Perry include quantification over situations in this manner.

References

Barwise, Jon. 1989. The situation in logic. CSLI Lecture Notes 17. Center for the Study of Language (CSLI).

Barwise, Jon, and Robin Cooper. 1991. Simple situation theory and its graphical representation. DYANA REPORT R2.1.C 38-74.

_________. 1993. Extended Kamp notation: A graphical notation for situation theory. In Situation theory and its applications, edited by Peter Aczel and David Israel, Yasuhiro Katagiri, and Stanley Peters, 29-53. Vol. 3. CSLI Lecture Notes 37. Stanford, CA, USA: Center for the Study of Language (CSLI).

Barwise, Jon, and John Etchemendy. 1989. The liar. Oxford University Press US.

Barwise, Jon, and John Perry. 1981. Situations and attitudes. The Journal of Philosophy 78, no. 11 (November): 668-691.

_________. 1983. Situations and attitudes. MIT Press.

_________. 1985. Shifting situations and shaken attitudes. Linguistics and Philosophy 8, no. 1 (February 1): 105-161.

Crimmins, Mark. 1993. States of affairs without parameters. In Situation theory and its applications, ed. Peter Aczel and David Israel, 3:55-86. CSLI Lecture Notes 37. Center for the Study of Language (CSLI). \~\~

Devlin, Keith. 1991. Logic and information. Cambridge, Great Britain: Cambridge University Press.

Devlin, Keith. 2004. Jon Barwise's Papers on Natural Language Semantics. The Bulletin of Symbolic Logic 10, no. 1 (March): 54-85. \~

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