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So, pending an unforeseen satisfactory analysis of "a exists," this proposition will have to be analysed as a complex of propositions not involving a.
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This suggests adopting the following rule for determining the truth-value of complex propositions some of whose constituents are neither true nor false.
In LT this division was replaced by the similar but more general primary versus secondary classification, where the subject and predicate were allowed to become complex names, and the number of propositions in an argument became unrestricted.
Like Frege after him, Bolzano conceived of propositions as complexes composed of wholly abstract mind-independent constituents (Vorstellungen an sich).
Russell's 1903 account of propositions as complexes of entities was in many ways in keeping with his views as the nature of complexes and facts during the core logical atomist period of 1911 1925.
Russell took over from Moore the conception of propositions as mind-independent complexes; a true proposition was then simply identified by Russell with a fact (cf. MTCA, 75 76).
For what kind of complex entities are propositions?
According to the Russellian conception of propositions, a proposition is a complex entity with a particular structure whose constituents are particulars and/or properties and/or relations.[17] Are propositions of this sort abstract objects?
We will see below that others hold similar "algebraic" conceptions of propositions, where the propositions are complex entities consisting of constituents bound together in certain ways and so are structured propositions.
Russell there gave no indication that he believed in any other sorts of complexes or truth-makers for any other sorts of propositions.
This bi-polarity of propositions enables the composition of more complex propositions from atomic ones by using truth-functional operators (5).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com