Anubav Vasudevan is Associate Professor in the Department of Philosophy. His current research interests are in the areas of formal epistemology and the history of logic. His work in the former area relates primarily to issues in the foundations of probability, in particular, the question of how it might be possible to reconcile an objective interpretation of probability with a metaphysical conception of the world as subject to strictly deterministic laws. His research in the history of logic focuses on the logical writings of Gottfried Wilhelm Leibniz. His work on this topic aims both to illuminate the fundamental relationship that exists between Leibniz’s system of logic and his more well-known metaphysical and epistemological doctrines, and to situate Leibniz’s logic within the broader history of the subject, dating back to Aristotle’s theory of the categorical syllogism and continuing through to the systems of algebraic logic developed in the work of such nineteenth-century logicians as Boole, Peirce, and Schröder. He received his PhD from Columbia University in 2012.

## Selected Publications

Vasudevan, A. Biased Information and the Exchange Paradox. *Synthese* (forthcoming)

Vasudevan, A. Entropy and Insufficient Reason: A Note on the Judy Benjamin Problem. *British Journal for the Philosophy of Science* (forthcoming)

Kim, B. and Vasudevan, A. (2017). How to expect a surprising exam. *Synthese* (August 2017)

Malink, M. and Vasudevan, A. (2016). The logic of Leibniz’s Generales Inquisitiones de Analysi Notionum et Veritatum. *Review of Symbolic Logic*, 9:686–751

Vasudevan, A. (2013). On the a priori and a posteriori assessment of probabilities. *Journal of Applied Logic*, 11(4):440–451

Gaifman, H. and Vasudevan, A. (2012). Deceptive updating and minimal information methods. *Synthese*, 187(1):147–178

## Media

Anubav Vasudevan on Elucidations

## Recent Courses

## PHIL 22962/32962 The Epistemology of Deep Learning

Philosophers have long drawn inspiration for their views about the nature of human cognition, the structure of language, and the foundations of knowledge, from developments in the field of artificial intelligence. In recent years, the study of artificial intelligence has undergone a remarkable resurgence, in large part owing to the invention of so-called “deep” neural networks, which attempt to instantiate models of cognitive neurological development in a computational setting. Deep neural networks have been successfully deployed to perform a wide variety of machine learning tasks, including image recognition, natural language processing, financial fraud detection, social network filtering, drug discovery, and cancer diagnoses, to name just a few. While, at present, the ethical implications of these new and powerful systems are a topic of much philosophical scrutiny, the epistemological significance of deep learning has garnered significantly less attention.

In this course, we will attempt to understand and assess some of the bold epistemological claims that have been made on behalf of deep neural networks. To what extent can deep learning be represented within the framework of existing theories of statistical and causal inference, and to what extent does it represent a new epistemological paradigm? Are deep neural networks genuinely theory-neutral, as it is sometimes claimed, or does the underlying architecture of these systems encode substantive theoretical assumptions and biases? Without the aid of a background theory or statistical model, how can we, the users of a deep neural network, be in a position to trust the reliability of its predictions? In principle, are there any cognitive tasks with respect to which deep neural networks are incapable of outperforming human expertise? Do recent developments in artificial intelligence shed any new light on traditional philosophical questions about the capacity of machines to act intelligently, or the computational and mechanistic bases of human cognition? (B) (II)

## PHIL 49702 Revision Workshop

This is a workshop for 2nd year philosophy graduate students, in which students revise a piece of work to satisfy the PhD program requirements.

All and only philosophy graduate students in the relevant years.

## PHIL 29400/39600 Intermediate Logic

This course provides a first introduction to mathematical logic for students of philosophy. In this course we will prove the soundness and completeness of deductive systems for both propositional and first-order predicate logic. (B) (II)

Elementary Logic (PHIL 20100/30000) or its equivalent.

## PHIL 49701 Topical Workshop

This is a workshop for 3rd year philosophy graduate students, in which students prepare and workshop materials for their Topical Exam.

A two-quarter (Autumn, Winter) workshop for all and only philosophy graduate students in the relevant years.

## PHIL 49701 Topical Workshop

This is a workshop for 3rd year philosophy graduate students, in which students prepare and workshop materials for their Topical Exam.

A two-quarter (Autumn, Winter) workshop for all and only philosophy graduate students in the relevant years.

## PHIL 22401/32401 Modern Logic and the Structure of Knowledge

In this course, we will examine the various ways in which the concepts and techniques of modern mathematical logic can be utilized to investigate the structure of knowledge. Many of the most well-known results of mathematical logic, such as the incompleteness theorems of Gödel and the Löwenheim-Skolem theorem, illustrate the fundamental limitations of formal systems of logic to fully capture the structure of the semantic models in which truth and validity are assessed. Some philosophers have argued that these results have profound epistemological implications, for instance, that they can be used to ground skeptical claims to the effect that there must be truths that logic and mathematics are powerless to prove. One of the aims of this course is to assess the legitimacy of these epistemological claims. In addition, we will explore the extent to which the central results of mathematical logic can be extended so as to apply to systems of inductive logic, and examine what forms of inductive skepticism may emerge as a result. We will, for example, discuss the epistemological implications of Putnam's diagonalization argument, which shows that, for any Bayesian theory of confirmation based on a definable prior, there must exist hypotheses which, if true, can never be confirmed. (B) (II)

## PHIL 29400/39600 Intermediate Logic

This course provides a first introduction to mathematical logic. In this course we will prove the soundness and completeness of deductive systems for both propositional and first-order predicate logic. (B) (II)

Elementary Logic (PHIL 20100) or its equivalent.

## PHIL 20116/30116 American Pragmatism

This course is a first introduction to American Pragmatism. We will examine some of the seminal philosophical works of the three most prominent figures in this tradition: Charles Sanders Peirce, William James, and John Dewey. Our main aim will be to extract from these writings the central ideas and principles which give shape to pragmatism as a coherent alternative to the two main schools of modern philosophical thought, empiricism and rationalism. (B) (III)

## PHIL 50218 The Problem of Induction

(II)

## PHIL 29400/39600 Intermediate Logic

In this course, we will prove the soundness and completeness of deductive systems for both sentential and first-order predicate logic. We will also establish related results in elementary model theory, such as the compactness theorem for first-order logic, the Lӧwenheim-Skolem theorem and Lindstrӧm's theorem. (B) (II)

Elementary Logic or the equivalent.

## PHIL 20116/30116 American Pragmatism

This course will survey some of the seminal writings of the early American Pragmatist tradition. We will focus primarily on works by the three most prominent figures in this tradition: C.S. Peirce, William James, and John Dewey. Our aim in the course will be to extract from these writings the central ideas and principles which give shape to pragmatism as a coherent philosophical perspective, distinct from both empiricism and rationalism. (B) (II)

## PHIL 50116 Pragmatism

This course will begin by examining the central writings of the early American Pragmatists, C.S. Peirce, William James, and John Dewey. We will compare the early formulations of pragmatism that appear in these works, both against one another other, as well against more recent formulations of pragmatism, as put forward by such philosophers as Putnam, Davidson, and Rorty. (II) (III)

## PHIL 29400/39600 Intermediate Logic

In this course, we will prove the soundness and completeness of deductive systems for both sentential and first-order logic. We will also establish related results in elementary model theory, such as the compactness theorem for first-order logic, the Lowenheim-Skolem theorem and Lindstrom’s theorem. (B) (II)

## PHIL 22960/32960 Bayesian Epistemology

This course will provide an introduction to Bayesian Epistemology. We will begin by discussing the principal arguments offered in support of the two main precepts of the Bayesian view: (1) Probabilism: A rational agent's degrees of belief ought to conform to the axioms of probability; and (2) Conditionalization: Bayes's Rule describes how a rational agent's degrees of belief ought to be updated in response to new information. We will then examine the capacity of Bayesianism to satisfactorily address the most well-known paradoxes of induction and confirmation theory. The course will conclude with a discussion of the most common objections to the Bayesian view. (B) (II)

For full list of Anubav Vasudevan's courses back to the 2012-13 academic year, see our searchable course database.