Positivity, (anti-)exhaustivity and stability

Moshe E. Bar-Lev; Roni Katzir

Positivity, (anti-)exhaustivity and stability

Moshe E. Bar-Lev, Roni Katzir

Department of Linguistics

Tel Aviv University

Research output: Contribution to conference › Paper › peer-review

Abstract

Why are AND and OR the only binary connectives which are lexicalized as simplex? In this paper we point out a special property they have: They are the only ‘meaningful’ connectives which enable the innocent exclusion of alternatives that are logically independent from the connective’s arguments. We further observe that, as a result, they are the only meaningful connectives that can block prior probabilities from leading to anti-exhaustive interpretations (Cremers et al. 2022). This property of AND and OR can explain their lexicalizability once combined with the notion of Stability from Bar-Lev & Katzir (2022), while the theory that emerges has advantages over the Stability-based account of the typology we proposed in Bar-Lev & Katzir (2022).

Original language	English
Pages	23-30
Number of pages	8
State	Published - 2022
Event	23rd Amsterdam Colloquium, AC 2022 - Amsterdam, Netherlands Duration: 19 Dec 2022 → 21 Dec 2022

Conference

Conference	23rd Amsterdam Colloquium, AC 2022
Country/Territory	Netherlands
City	Amsterdam
Period	19/12/22 → 21/12/22

All Science Journal Classification (ASJC) codes

Computational Theory and Mathematics
Software

Cite this

@conference{c2fbef36b7fb4a3481c8ee3a104e208b,

title = "Positivity, (anti-)exhaustivity and stability",

abstract = "Why are AND and OR the only binary connectives which are lexicalized as simplex? In this paper we point out a special property they have: They are the only {\textquoteleft}meaningful{\textquoteright} connectives which enable the innocent exclusion of alternatives that are logically independent from the connective{\textquoteright}s arguments. We further observe that, as a result, they are the only meaningful connectives that can block prior probabilities from leading to anti-exhaustive interpretations (Cremers et al. 2022). This property of AND and OR can explain their lexicalizability once combined with the notion of Stability from Bar-Lev & Katzir (2022), while the theory that emerges has advantages over the Stability-based account of the typology we proposed in Bar-Lev & Katzir (2022).",

author = "Bar-Lev, {Moshe E.} and Roni Katzir",

note = "Publisher Copyright: {\textcopyright} 2022 Proceedings of the 23rd Amsterdam Colloquium, AC 2022. All rights reserved.; 23rd Amsterdam Colloquium, AC 2022 ; Conference date: 19-12-2022 Through 21-12-2022",

year = "2022",

language = "الإنجليزيّة",

pages = "23--30",

}

TY - CONF

T1 - Positivity, (anti-)exhaustivity and stability

AU - Bar-Lev, Moshe E.

AU - Katzir, Roni

PY - 2022

Y1 - 2022

N2 - Why are AND and OR the only binary connectives which are lexicalized as simplex? In this paper we point out a special property they have: They are the only ‘meaningful’ connectives which enable the innocent exclusion of alternatives that are logically independent from the connective’s arguments. We further observe that, as a result, they are the only meaningful connectives that can block prior probabilities from leading to anti-exhaustive interpretations (Cremers et al. 2022). This property of AND and OR can explain their lexicalizability once combined with the notion of Stability from Bar-Lev & Katzir (2022), while the theory that emerges has advantages over the Stability-based account of the typology we proposed in Bar-Lev & Katzir (2022).

AB - Why are AND and OR the only binary connectives which are lexicalized as simplex? In this paper we point out a special property they have: They are the only ‘meaningful’ connectives which enable the innocent exclusion of alternatives that are logically independent from the connective’s arguments. We further observe that, as a result, they are the only meaningful connectives that can block prior probabilities from leading to anti-exhaustive interpretations (Cremers et al. 2022). This property of AND and OR can explain their lexicalizability once combined with the notion of Stability from Bar-Lev & Katzir (2022), while the theory that emerges has advantages over the Stability-based account of the typology we proposed in Bar-Lev & Katzir (2022).

UR - http://www.scopus.com/inward/record.url?scp=85173575604&partnerID=8YFLogxK

M3 - محاضرة

SP - 23

EP - 30

T2 - 23rd Amsterdam Colloquium, AC 2022

Y2 - 19 December 2022 through 21 December 2022

ER -

Positivity, (anti-)exhaustivity and stability

Abstract

Conference

All Science Journal Classification (ASJC) codes

Other files and links

Cite this