The University of Vienna Set Theory Research Seminar will host the
following mini-course in hybrid format in the coming Winter Semester 2023.
Mini-course: Forcing techniques for Cichon's Maximum
by Diego Mejia (Shizuoka University)
Thursdays (6 lectures)
Japan Standart Time 19:30-21:00
(Central European Time 11:30-13:00)
Nov 30th-Dec 14th; Jan 11th-25th
Seminarraum 10, Kolingasse 14-16, Uni Wien
Zoom Meeting
ID: 210 955 0387,
Passcode: kgrc
https://univienna.zoom.us/j/2109550387?pwd=ZXZMLzZIWERXK2lnWlROZncxQkVSUT09
Abstract:
Cichon’s diagram describes the connections between
combinatorial notions related to measure, category,
and compactness of sets of irrational numbers.
In the second part of the 2010’s decade,
Goldstern, Kellner and Shelah constructed a forcing model of
Cichon’s Maximum (meaning that all non-dependent
cardinal characteristics are pairwise different) by using large cardinals.
Some years later, we eliminated this large cardinal assumption.
In this mini-course, we explore the forcing techniques
to construct the Cichon’s Maximum model and much more.
Concretely, we discuss the following components:
1. (Nov 30th) Tukey connections and cardinal characteristics of the
continuum
2. (Dec 7th) Review of FS (finite support) iterations and
basic methods to modify cardinal characteristics.
3. (Dec 14th) Preservation theory for cardinal characteristics.
4. (Jan 11th) FS iterations with measures and ultrafilters on the natural
numbers.
5. (Jan 18th) Boolean Ultrapowers.
6. (Jan 25th) Forcing Intersected with submodels.
--
Diego A. Mejía (PhD)
Associate Professor
Faculty of Science, Shizuoka University
836 Ohya, Suruga-ku, Shizuoka 422-8529 Japan
Tel: +81-54-2384787
logic-ml の皆様、
北海道大学の山田友幸先生の代理で投稿いたします。
佐野勝彦
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2nd Call for Papers
*The Connectives in Logic and Language*
4th Tsinghua Interdisciplinary Workshop on Logic, Language and Meaning (TLLM
2024)
*Extended Deadline for 2-page abstracts: November 25, 2023*
Workshop: March 30–31, 2024; Tutorials March 29, 2024.
Venue: Tsinghua University, Beijing.
Workshop web site: http://tsinghualogic.net/JRC/tllm/2024connectives/
The propositional connectives – *and, or, not, if-then,* etc. – are
fundamental building blocks in formal as well as natural languages. In the
Western tradition, they were first studied as such by the Stoics, and
*Propositional Logic* is the fundament of practically all current
systems of logic; every beginning logic course starts with it. Still,
the proof theory and
semantics of systems of propositional logic are far from trivial, and have
been studied intensely by logicians in the last one and a half century, not
least in recent decades. It is actually a vast area of research, as
witnessed by Lloyd Humberstone’s 1500 page tome *The Connectives* (2011),
which overviews much of that research. Perhaps the most familiar recent
work in this area concerns *conditionals* in formal and natural languages.
In this workshop we also focus on the apparently simpler connectives
expressing (various versions of) conjunction, disjunction, and negation.
Researchers working from a cross-linguistic perspective also focus on how
the connectives are encoded in different languages, and ask whether
classical logic is capable of capturing the variations and
universals exhibited. Even in well-studied languages like English, there
are intricate phenomena that remain challenging for classical logic,
including free choice disjunction, non-boolean conjunction, metalinguistic
negation, to name just a few. There is also growing interest in the
acquisition and processing of natural language connectives. In the context
of the hotly discussed Large Language Models (LLMs), understanding
connectives presents novel challenges that deserve in-depth exploration.
The idea behind the TLLM workshops is to bring together logicians and
linguists around a specific theme of common interest. Thus, we welcome
contributions on any general or particular aspect of the propositional
connectives in logic or language. Below are just a few examples of possible
topics for this workshop.
- semantics of negation: classical, non-classical, contra-classical
- inclusive versus exclusive disjunction in natural languages
- the meaning of connectives: model-theoretic, proof-theoretic,
game-theoretic,…
- non-classical connectives: in intuitionistic logic, linear logic,
relevance logic, orthologic, etc.
- free choice disjunction
- boolean and non-boolean conjunction
- acquisition of natural language connectives
- cross-linguistic variations of natural language connectives
- role of Large Language Models (LLMs) in understanding connectives:
challenges, capabilities, and implications
*Invited speakers*
*Christoph Harbsmeier (University of Oslo)*
*Wesley Holliday (UC Berkeley)*
*Jacopo Romoli (Heinrich Heine University, Düsseldorf)*
*Fan Yang (University of Utrecht)*
*Tutorials (prel. titles)*
*Logic: Wesley Holliday*
*Linguistics: Christoph Harbsmeier*
*Contributed papers*
We invite submissions of *2-page abstracts* (including references) on any
of the broad themes related to the connectives in logic and language as
suggested above. After a review procedure, authors of accepted abstracts
will have the opportunity to present their papers at the workshop. After
the workshop, a volume of full papers (properly refereed) will be published
in the Springer LNCS – FoLLI series. Details on submission of full papers
will follow.
Abstracts should be submitted via Easychair:
https://easychair.org/conferences/?conf=tllm2024
The workshop will take place on site at Tsinghua University, Beijing.
*Important dates*
- *November 25, 2023*: deadline for submitting abstracts
- *December 15, 2023*: notification of acceptance
- *March 29, 2024:* tutorials
- *March 30-31, 2024*: workshop
*Registration*
TBA
*Program chairs*
Mingming Liu (Tsinghua University), Dag Westerståhl (Stockholm University,
Tsinghua University), Xiaolu Yang (Tsinghua University)
渕野 昌@神戸大学 (emeritus) です.
直前のお知らせになってしまい申し訳ありません.
Waseda Set-Theory Seminar と Kobe Set-Theory Seminar の
番外(?) 合同セミナーとして,以下のセミナーの sessions を
in-person (in Kobe at the logic group of Kobe University) + zoom
の hybrid seminar の形式で開催したく思っております.zoom
参加をご希望の方は,
酒井拓史さん Hiroshi SAKAI <hsakai(a)people.kobe-u.ac.jp> または,
私 Sakaé FUCHINO <fuchino(a)diamond.kobe-u.ac.jp>
までご連絡ください.
Wednesday (1. Nov.): 16:00 〜 Speaker: Joan Bagaria,
Title: "Reflection on the edge: I0 cardinals and beyond"
Thursday (2. Nov.) : 15:30 〜 Speaker: Gunter Fuchs,
Title: "On the structure of the blurry HOD hierarchy"
(there will be an in-person dinner after the talk)
--
best regards Sakaé Fuchino (渕野 昌, Prof.Emer., Dr.rer.nat.)
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Kobe University
Graduate School of System Informatics
Rokko-dai 1-1, Nada, Kobe
657-8501 Japan
e-mail: fuchino(a)diamond.kobe-u.ac.jp
web pages: https://fuchino.ddo.jp/index-j.html (in Japanese)
https://fuchino.ddo.jp/index-e.html (in English under construction)
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