Abstract
This chapter shows how ingredients of Brentano’s reformed logic (Chapter 3) can be used to provide the basis for a system of logic equivalent in strength to Lesniewski’s Ontology.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Brentano uses ‘existential proposition’ for both affirmations and denials of existence. Reducibility is not symmetric for Brentano: it is therefore stronger than logical equivalence. Brentano’s reasons have to do with his theory of judgement, which we here leave aside; we shall consider only the symmetric relation of logical equivalence.
Brentano 1973, 210f.
Cf. Prior 1976, 115, where this is called “an answer to Brentano”. What follows is effectively an answer to Prior.
Cf. Chapter 9.
Development’ and `growth’ can be understood either literally, or as referring to an abstract ordering. Leéniewski preferred the former reading, and with his aversion to ideal entities, Brentano would probably have sympathized.
For an indication as to how these conditions are stated in a nominalistically and finitistically acceptable way, cf. Luschei 1962.
n the relationship between Leéniewskian and classical quantifiers cf. Chapter 11.
An expression other than a sentence is propositive if its syntactic category in the usual quotient notation begins with an `S’. Predicates are propositive. The category index of names and nominative expressions begins with `N’.
Compare Lejewski 1958.
Cf. Simons 1982e.
Cf. Lejewski 1958, 165ff., also Lejewski 1977.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Simons, P. (1992). A Brentanian Basis for Leśniewskian Logic. In: Philosophy and Logic in Central Europe from Bolzano to Tarski. Nijhoff International Philosophy Series, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8094-6_10
Download citation
DOI: https://doi.org/10.1007/978-94-015-8094-6_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4129-6
Online ISBN: 978-94-015-8094-6
eBook Packages: Springer Book Archive