Summer School in Logic and Formal Epistemology
There is a long tradition of fruitful interaction between philosophy and the sciences.
Logic and statistics emerged, historically, from the combined philosophical and scientific inquiry into the nature of mathematical and scientific inference; and the modern conceptions of psychology, linguistics, and computer science are the results of sustained reflection on the nature of mind, language, and computation. In today's climate of disciplinary specialization, however, foundational reflection is becoming increasingly rare. As a result, developments in the sciences are often conceptually ill-founded, and philosophical debates often lack scientific substance.
The Department of Philosophy at Carnegie Mellon University hosts a summer school in logic and formal epistemology for promising undergraduates in philosophy, mathematics, computer science, linguistics, economics, and other sciences. The goals are to:
- introduce promising students to cross-disciplinary fields of research at an early stage in their career; and
- forge lasting links between the various disciplines.
The summer school is usually held in the first half of June, and includes morning and afternoon lectures and problem sessions.
The summer school is free: there is no tuition, and on-campus housing is provided at no cost.
The Summer School in Logic and Formal Epistemology is open to undergraduates, as well as to students who will have just completed their first year of graduate school. Applicants need not be US citizens. There are no grades, and the courses do not provide formal course credit. There is a $30 nonrefundable application fee.
Applications for the next program are not yet open.
Past Summer School Schedules
2022 Summer School
Thomas Werner, June 6–10
A Tour of Linguistics
Abstract: This course is an introduction to core topics in modern linguistics, from phonology to syntax to semantics and pragmatics. The material will be based on contemporary generative grammar as it informs compositional semantics and linguistic pragmatics, with a focus on the abstract principles by which phonetic sounds come to be vehicles for the transmission of information. In particular, we will be interested in how linguistic communication takes place within a shared field of experience, using physical events (speech) to expand that field.
Adam Bjorndahl, June 13–17
Topology, Logic, and Epistemology
Abstract: This course is an introduction to epistemic logic, topology, and their relationship; no background in modal logic or topology is assumed. We'll begin by motivating and defining standard relational structure semantics for epistemic logic, and highlighting some classic correspondences between formulas in the language and properties of the structures. Next we'll introduce the notion of a topological space using a variety of metaphors and intuitions, and define topological semantics for the basic modal language. We'll examine the relationship between topological and relational semantics, establish the foundational result that S4 is “the logic of space” (i.e., sound and complete with respect to the class of all topological spaces), and discuss richer epistemic systems in which topology can be used to capture the distinction between the known and the knowable. This lays the groundwork to explore some more recent innovations in this area, such as topological models for evidence and justification, information update, and applications to the dynamics of program execution.
Kevin Zollman, June 20–24
Network Epistemology
Abstract: For a long time epistemology focused on the lone inquirer. Descartes worried about what he should believe given the evidence he had from his senses. However, much of our epistemic life is social: we learn from one another, we ask questions, we argue, we cajole. What's more, this social epistemic life takes place in a complex web of social interactions. We don't just learn from anyone, we tend to learn from our friends, relatives, and teachers. These observations have led to a new interdisciplinary field called "Network Epistemology" where we look at how the structure of our social world influences what we come to believe. Much of this work is done using mathematical or computer simulation models. In this course, we will look at a few examples from this field including models of misinformation, pluralistic ignorance, and the wisdom of the crowds.
2021 Summer School -- June 7-11
This year the sessions were held entirely remotely in compliance with COVID-related health and safety guidelines.
Monday, June 7: Mandy Simons
Natural Language Semantics
Tuesday, June 8: Francesca Zaffora Blando
Algorithmic randomness and learning
Wed/Thurs, June 9th/10th: Wilfried Sieg
Proofs as objects
Friday, June 11: Adam Bjorndahl
Epistemic logic and topology
2020 Summer School -- June 9-12
2019 Summer School -- June 3-21
Week #1 |
Instructor: Professor Jeremy Avigad In computer science, "formal methods" are used to verify the correctness of hardware and software, as well as to verify the correctness of mathematical claims. During this week, we will explore the logical foundations that support formal verification, and you will learn how to use a contemporary theorem proving system known as Lean. |
Week #2 (June 10-14) |
Instructors: Professors Adam Bjorndahl and Teddy Seidenfeld The first part of the week will introduce epistemic logic, a branch of modal logic concerned with reasoning about knowledge and belief. No background in modal logic will be assumed. We'll motivate the development of the formal tools, survey some classic results in the field, and consider some extensions of the basic framework, such |
Week #3 (June 17-21) |
Instructors: Professors Clark Glymour and Kun Zhang The topic is how computational/statistical procedures and “big data” can discover causal relations. The course will be organized around lectures and computational projects. |
2018 Summer School -- June 11-June 29
Our Summer School 2018 coordinates with the North American Summer School in Logic, Language and Information, NASSLLI, which constitutes the 3rd week of this year's Summer School, June 25-29, 2018. Weeks #1 and #2 are organized in order to prepare the Summer School participants for attending the NASSLLI.
Week #1 |
Instructor: Mandy Simons and other Linguistics Faculty Description: In the first week, we'll provide a whirlwind introduction to the fundamentals of formal linguistics, including phonology, syntax, semantics |
Week #2 (June 19-22) |
Instructor: Adam Bjorndahl and other Formal Epistemology Faculty Description: The first part of the week will introduce epistemic logic, a branch of modal logic concerned with reasoning about knowledge and belief. No background in modal logic will be assumed. We'll motivate the development of the formal tools, survey some classic results in the field, and consider some extensions of the basic framework, such |
Week #3 (June 25-29) |
Title: NASSLLI-2018 The North American Summer School in Logic, Language and Information has been providing outstanding interdisciplinary educational opportunities to graduate students and advanced undergraduates in logic, linguistics, computer science, cognitive science, and philosophy since it was launched as a biennial event in 2002. NASSLLI brings these disciplines together with the goal of producing excellence in the study of how minds and machines alike accomplish the tasks of representing, communicating, manipulating and reasoning with information. |
2017 Summer School -- June 5-June 23
Week #1a |
Instructor: Adam Bjorndahl Title: Epistemic Logic and Topology Description: In this We begin by motivating logics of knowledge and belief, and develop the formal tools that are typically used to study them; we then survey some classic results in this field. Viewing epistemology through the lens of topology highlights the distinction between the known and the knowable, between fact and measurement. To more fully incorporate this conceptual framework into our analysis, we introduce topological subset space semantics, which allows us to manipulate separately the state of the world and the epistemic state of the agent. We close with a look at some recent work that uses topology to improve our understanding of the dynamics of knowledge. |
Week #1b |
Center for Formal Epistemology Workshop Title: Modality and Method Speakers: |
Week #2 (June 12-16) |
Instructor: K.T. Kelly Description: The standard mathematical frameworks for understanding reasoning are logic and computability for mathematical reasoning and probability theory for empirical reasoning. In this summer school session, we examine an alternative, topological viewpoint according to which computational and empirical undecidability can both be viewed as reflections of topological complexity. That may sound a bit Background Reading: |
Week #3 (June 19 -23) |
Instructor: Kevin Zollman Description: Science is a unique institution. In most fields, people are rewarded for hard work with more money and promotions. Scientists |