MATHEMATICS ITS FOUNDATIONS AND THEIR IMPLICAT

Size: px
Start display at page:

Download "MATHEMATICS ITS FOUNDATIONS AND THEIR IMPLICAT"

Transcription

1 Syllabus MATHEMATICS ITS FOUNDATIONS AND THEIR IMPLICAT Last update HU Credits: 2 Degree/Cycle: 1st degree (Bachelor) and 2nd degree (Master) Responsible Department: Academic year: 0 Semester: 2nd Semester Teaching Languages: English Campus: Mt. Scopus Course/Module Coordinator: Coordinator Coordinator Office Hours: Teaching Staff: Silvia Jonas page 1 / 6

2 Course/Module description: The first part of the seminar will provide an overview over the foundational theories of the philosophy of mathematics. Starting from Kants account of the possibility of mathematical knowledge, we will move on to the competing logicist programmes by Frege and Russell, shed some light on Carnapian positivism and Hilberts formalism, and end with the intuitionist views developed by Brouwer, Heyting and Dummett. The second part of the seminar is dedicated to four of the most central issues discussed in contemporary philosophy of mathematics: set theory and its ontological implications; mathematical Platonism; its counterpart theory of fictionalism; and, le dernier cri, structuralism. In the third part of the seminar, we will focus on epistemological questions arising in the context of mathematics, such as the questions of the nature of mathematical truth, its relation to mathematical knowledge, etc. Particular attention will be paid to the concept of self-evidence, its use in mathematical discourse and its different interpretations. The seminar will end by raising the question of the relevance of mathematical self-evidence for other abstract areas of discourse. Course/Module aims: Learning outcomes - On successful completion of this module, students should be able to: Attendance requirements(%): Teaching arrangement and method of instruction: Course/Module Content: Required Reading: Literature: *The articles marked with an asterisk constitute the basis for our discussions in each session and are therefore compulsory. page 2 / 6

3 ESSENTIALS 1. Kant on mathematical knowledge *Friedman, Michael. 2012, Kant on Geometry and Spatial Intuition. Synthese Vol. 186: pp Hintikka, Jaakko Kant on the Mathematical Method. The Monist Vol. 51 No. 3: pp. pp Parsons, Charles Mathematics in Philosophy: Selected Essays. Ithaca: Cornell University Press. Posy, Carl Kant's Mathematical Realism. The Monist Vol. 67: pp [Reprinted in: Posy, Carl Kant's Philosophy of Mathematics: Modern Essays. Dordrecht: Kluwer Academic Publishers.] Shabel, Lisa Apriority and Application: Philosophy of Mathematics in the Modern Period. In: Stewart Shapiro (ed.). The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford: Oxford University Press: pp Logicism I: Frege *Frege, Gottlob The Concept of Number (Excerpts from The Foundations of Arithmetic). Reprinted in: Benacerraf, Paul, and Putnam, Hilary (eds.) Philosophy of Mathematics: Selected Readings. Cambridge: Cambridge University Press: pp Logicism II: Russell *Russell, Betrand Selections from Introduction to Mathematical Philosophy. Reprinted in: Benacerraf, Paul, and Putnam, Hilary (eds.) Philosophy of Mathematics: Selected Readings. Cambridge: Cambridge University Press: pp page 3 / 6

4 4. Formalism: Hilbert Hilbert, David On the Infinite. Reprinted in: Benacerraf, Paul, and Putnam, Hilary (eds.) Philosophy of Mathematics: Selected Readings. Cambridge: Cambridge University Press: pp Positivism: Carnap Carnap, Rudolf Empiricism, Semantics, and Ontology. Reprinted in: Benacerraf, Paul, and Putnam, Hilary (eds.) Philosophy of Mathematics: Selected Readings. Cambridge: Cambridge University Press: pp Intuitionism: Brouwer, Heyting, Dummett Posy, Carl Intuitionism and Philosophy. In: Stewart Shapiro (ed.). The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford: Oxford University Press: pp NUMBER THEORY 7. Set Theory Boolos, George The Iterative Conception of Set. Reprinted in: Benacerraf, Paul, and Putnam, Hilary (eds.) Philosophy of Mathematics: Selected Readings. Cambridge: Cambridge University Press: pp Platonism Parsons, Charles Mathematical Intuition. Proceedings of the Aristotelian page 4 / 6

5 Society Vol. 80: pp Fictionalism MacBride, Fraser Listening to Fictions: A Study of Fieldian Nominalism. British Journal for the Philosophy of Science Vol. 50: pp Structuralism Hellman, Geoffrey Structuralism. In: Stewart Shapiro (ed.). The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford: Oxford University Press: pp THE EPISTEMIC STATUS OF MATHEMATICS 11. Mathematical Truth Benacerraf, Paul Mathematical Truth. The Journal of Philosophy Vol. 70 No. 19: pp Holism Shapiro, Stewart Epistemology of Mathematics: What are the questions? What count as answers?. The Philosophical Quarterly Vol. 61 No. 242: pp page 5 / 6

6 Powered by TCPDF ( 13. Self-evidence Shapiro, Stewart We hold these truths to be self-evident: But what do we mean by that?. The Review of Symbolic Logic, Vol. 2 No. 1: pp Mathematics and beyond Jonas, Silvia (manuscript): What can mathematical self-evidence teach us about religious belief? Additional Reading Material: Course/Module evaluation: End of year written/oral examination 0 % Presentation 0 % Participation in Tutorials 0 % Project work 0 % Assignments 0 % Reports 0 % Research project 0 % Quizzes 0 % Other 0 % Additional information: page 6 / 6

Philosophy Faculty Reading List and Course Outline PART II PAPER 08: PHILOSOPHICAL LOGIC

Philosophy Faculty Reading List and Course Outline PART II PAPER 08: PHILOSOPHICAL LOGIC SYLLABUS Philosophy Faculty Reading List and Course Outline 2017-2018 COURSE OUTLINE PART II PAPER 08: PHILOSOPHICAL LOGIC Philosophy of language: Understanding and truth-conditions; realism and anti-realism.

More information

Knowledge, Truth, and Mathematics, Course Bibliography, Spring 2008, Prof. Marcus, page 2

Knowledge, Truth, and Mathematics, Course Bibliography, Spring 2008, Prof. Marcus, page 2 Philosophy 405: Knowledge, Truth and Mathematics Spring 2008 M, W: 1-2:15pm Hamilton College Russell Marcus rmarcus1@hamilton.edu Course Bibliography Note: For many of the historical sources, I have provided

More information

The Seven sins: Self Doctrine and Practice in l

The Seven sins: Self Doctrine and Practice in l Syllabus The Seven sins: Self Doctrine and Practice in l - 24878 Last update 17-05-2015 HU Credits: 2 Degree/Cycle: 2nd degree (Master) Responsible Department: Comparative Religion Academic year: 4 Semester:

More information

Defending the Axioms

Defending the Axioms Defending the Axioms Winter 2009 This course is concerned with the question of how set theoretic axioms are properly defended, of what counts as a good reason to regard a given statement as a fundamental

More information

CLASS PARTICIPATION IS A REQUIREMENT

CLASS PARTICIPATION IS A REQUIREMENT Metaphysics Phil 245, Spring 2009 Course Description: Metaphysics is the study of what there is, i.e., what sorts of things exist and what is their nature. Broadly speaking philosophers interested in metaphysics

More information

Naturalism Fall Winter 2004

Naturalism Fall Winter 2004 Naturalism Fall 2003 - Winter 2004 This course will trace the history and examine the present of naturalistic philosophy. Along the way, I ll lay out my own pet version, Second Philosophy, and use it as

More information

RELIGION AND STATE

RELIGION AND STATE Syllabus RELIGION AND STATE - 56156 Last update 25-01-2017 HU Credits: 2 Degree/Cycle: 1st degree (Bachelor) Responsible Department: political science Academic year: 0 Semester: 2nd Semester Teaching Languages:

More information

Introduction to Islam in South Asia

Introduction to Islam in South Asia Syllabus Introduction to Islam in South Asia - 35330 Last update 02-11-2015 HU Credits: 2 Degree/Cycle: 1st degree (Bachelor) Responsible Department: asian studies Academic year: 0 Semester: 2nd Semester

More information

Constructive Logic, Truth and Warranted Assertibility

Constructive Logic, Truth and Warranted Assertibility Constructive Logic, Truth and Warranted Assertibility Greg Restall Department of Philosophy Macquarie University Version of May 20, 2000....................................................................

More information

Studies in the Prophetic Literature

Studies in the Prophetic Literature Syllabus Studies in the Prophetic Literature - 21102 Last update 01-09-2016 HU Credits: 4 Degree/Cycle: 1st degree (Bachelor) Responsible Department: bible Academic year: 0 Semester: Yearly Teaching Languages:

More information

TRUTH IN MATHEMATICS. H.G. Dales and G. Oliveri (eds.) (Clarendon: Oxford. 1998, pp. xv, 376, ISBN X) Reviewed by Mark Colyvan

TRUTH IN MATHEMATICS. H.G. Dales and G. Oliveri (eds.) (Clarendon: Oxford. 1998, pp. xv, 376, ISBN X) Reviewed by Mark Colyvan TRUTH IN MATHEMATICS H.G. Dales and G. Oliveri (eds.) (Clarendon: Oxford. 1998, pp. xv, 376, ISBN 0-19-851476-X) Reviewed by Mark Colyvan The question of truth in mathematics has puzzled mathematicians

More information

M.A. PROSEMINAR, PHIL 5850 PHILOSOPHICAL NATURALISM Fall 2018 Tuesdays 2:35-5:25 p.m. Paterson Hall 3A36

M.A. PROSEMINAR, PHIL 5850 PHILOSOPHICAL NATURALISM Fall 2018 Tuesdays 2:35-5:25 p.m. Paterson Hall 3A36 M.A. PROSEMINAR, PHIL 5850 PHILOSOPHICAL NATURALISM Fall 2018 Tuesdays 2:35-5:25 p.m. Paterson Hall 3A36 Instructor information Dr. David Matheson Department of Philosophy 3A48 Paterson Hall 613-520-2600

More information

1. Introduction. 2. Clearing Up Some Confusions About the Philosophy of Mathematics

1. Introduction. 2. Clearing Up Some Confusions About the Philosophy of Mathematics Mark Balaguer Department of Philosophy California State University, Los Angeles A Guide for the Perplexed: What Mathematicians Need to Know to Understand Philosophers of Mathematics 1. Introduction When

More information

law morality and justice

law morality and justice Syllabus law morality and justice - 62070 Last update 18-07-2016 HU Credits: 3 Degree/Cycle: 2nd degree (Master) Responsible Department: executive llm. Academic year: 0 Semester: 1st Semester Teaching

More information

V Referências Bibliográficas

V Referências Bibliográficas Bibliografia 206 V Referências Bibliográficas Obras de Wittgenstein: Para nos referirmos às obras de Wittgenstein, utilizamos as seguintes abreviações (que já estão se tornando padrão na literatura sobre

More information

Philosophy 370: Problems in Analytic Philosophy

Philosophy 370: Problems in Analytic Philosophy Philosophy 370: Problems in Analytic Philosophy Instructor: Professor Michael Blome-Tillmann Office: 940 Leacock Office Hours: Tuesday 8:50-9:50, Thursday 8:50-9:50 Email: michael.blome@mcgill.ca Course

More information

JANUSZ KORCZAK AND MODERN EDUC. TRENDS

JANUSZ KORCZAK AND MODERN EDUC. TRENDS Syllabus JANUSZ KORCZAK AND MODERN EDUC. TRENDS - 34482 Last update 20-11-2013 HU Credits: 2 Degree/Cycle: 1st degree (Bachelor) Responsible Department: Education Academic year: 2 Semester: 1st Semester

More information

Oxford Handbooks Online

Oxford Handbooks Online Oxford Handbooks Online Philosophy of Mathematics and Its Logic: Introduction Stewart Shapiro The Oxford Handbook of Philosophy of Mathematics and Logic Edited by Stewart Shapiro Print Publication Date:

More information

RELIGION, STATE AND MULTICULTURALISM

RELIGION, STATE AND MULTICULTURALISM Syllabus RELIGION, STATE AND MULTICULTURALISM - 62784 Last update 13-05-2013 HU Credits: 4 Degree/Cycle: 1st degree (Bachelor) and 2nd degree (Master) Responsible Department: Law Academic year: 0 Semester:

More information

THE DEVELOPMENT OF THE JEWISH PRAYERS

THE DEVELOPMENT OF THE JEWISH PRAYERS Syllabus THE DEVELOPMENT OF THE JEWISH PRAYERS - 17262 Last update 10-05-2015 HU Credits: 2 Degree/Cycle: 1st degree (Bachelor) Responsible Department: Hebrew Literature Academic year: 1 Semester: 1st

More information

Gary Ebbs, Carnap, Quine, and Putnam on Methods of Inquiry, Cambridge. University Press, 2017, 278pp., $99.99 (hbk), ISBN

Gary Ebbs, Carnap, Quine, and Putnam on Methods of Inquiry, Cambridge. University Press, 2017, 278pp., $99.99 (hbk), ISBN [Final manuscript. Published in Notre Dame Philosophical Reviews] Gary Ebbs, Carnap, Quine, and Putnam on Methods of Inquiry, Cambridge University Press, 2017, 278pp., $99.99 (hbk), ISBN 9781107178151

More information

4AANA004 Metaphysics I Syllabus Academic year 2015/16

4AANA004 Metaphysics I Syllabus Academic year 2015/16 School of Arts & Humanities Department of Philosophy 4AANA004 Metaphysics I Syllabus Academic year 2015/16 Basic information Credits: 15 Module Tutor: Robyn Repko Waller Office: 707 Philosophy Building

More information

Philosophy of Logic and Language (108) Comprehensive Reading List Robert L. Frazier 24/10/2009

Philosophy of Logic and Language (108) Comprehensive Reading List Robert L. Frazier 24/10/2009 Philosophy of Logic and Language (108) Comprehensive List Robert L. Frazier 24/10/2009 Descriptions [Russell, 1905]. [Russell, 1919]. [Strawson, 1950a]. [Donnellan, 1966]. [Evans, 1979]. [McCulloch, 1989],

More information

METAPHYSICS PHIL 130. Spring 2017

METAPHYSICS PHIL 130. Spring 2017 METAPHYSICS PHIL 130 Spring 2017 Instructor: Kerry McKenzie kmckenzie@ucsd.edu Classes: SEQUO 147, TuTh 3.30-4.50pm. Office: HSS 8088 Office Hours: Tuesdays 5-7pm (or by appointment). 1 SCHEDULE OF CLASSES

More information

Brief Remarks on Putnam and Realism in Mathematics * Charles Parsons. Hilary Putnam has through much of his philosophical life meditated on

Brief Remarks on Putnam and Realism in Mathematics * Charles Parsons. Hilary Putnam has through much of his philosophical life meditated on Version 3.0, 10/26/11. Brief Remarks on Putnam and Realism in Mathematics * Charles Parsons Hilary Putnam has through much of his philosophical life meditated on the notion of realism, what it is, what

More information

FREGE, HEMPEL AND DEDEKIND: DEFINITIONS OF NUMBER AND CORREFERENTIALITY

FREGE, HEMPEL AND DEDEKIND: DEFINITIONS OF NUMBER AND CORREFERENTIALITY FREGE, HEMPEL AND DEDEKIND: DEFINITIONS OF NUMBER AND CORREFERENTIALITY RAYMUNDO MORADO INDIANA UNIVERSITY' 11 est vrai qu'il y a un infini en nombre. Mais nous ne savons ce quil est. Pascal In the following

More information

Analytic Philosophy IUC Dubrovnik,

Analytic Philosophy IUC Dubrovnik, Analytic Philosophy IUC Dubrovnik, 10.5.-14.5.2010. Debating neo-logicism Majda Trobok University of Rijeka trobok@ffri.hr In this talk I will not address our official topic. Instead I will discuss some

More information

*Please note that tutorial times and venues will be organised independently with your teaching tutor.

*Please note that tutorial times and venues will be organised independently with your teaching tutor. 4AANA004 METAPHYSICS Syllabus Academic year 2016/17. Basic information Credits: 15 Module tutor: Jessica Leech Office: 707 Consultation time: Monday 1-2, Wednesday 11-12. Semester: 2 Lecture time and venue*:

More information

Issue 4, Special Conference Proceedings Published by the Durham University Undergraduate Philosophy Society

Issue 4, Special Conference Proceedings Published by the Durham University Undergraduate Philosophy Society Issue 4, Special Conference Proceedings 2017 Published by the Durham University Undergraduate Philosophy Society An Alternative Approach to Mathematical Ontology Amber Donovan (Durham University) Introduction

More information

Philosophy of Mathematics Nominalism

Philosophy of Mathematics Nominalism Philosophy of Mathematics Nominalism Owen Griffiths oeg21@cam.ac.uk Churchill and Newnham, Cambridge 8/11/18 Last week Ante rem structuralism accepts mathematical structures as Platonic universals. We

More information

The Philosophy of Logic

The Philosophy of Logic The Philosophy of Logic PHL 430-001 Spring 2003 MW: 10:20-11:40 EBH, Rm. 114 Instructor Information Matthew McKeon Office: 503 South Kedzie/Rm. 507 Office hours: Friday--10:30-1:00, and by appt. Telephone:

More information

Mathematics: Truth and Fiction?

Mathematics: Truth and Fiction? 336 PHILOSOPHIA MATHEMATICA Mathematics: Truth and Fiction? MARK BALAGUER. Platonism and Anti-Platonism in Mathematics. New York: Oxford University Press, 1998. Pp. x + 217. ISBN 0-19-512230-5 Reviewed

More information

CONTRASTIVE EMPIRICISM AND INDISPENSABILITY

CONTRASTIVE EMPIRICISM AND INDISPENSABILITY MARK COLYVAN CONTRASTIVE EMPIRICISM AND INDISPENSABILITY ABSTRACT. The Quine Putnam indispensability argument urges us to place mathematical entities on the same ontological footing as (other) theoretical

More information

ANALOGIES AND METAPHORS

ANALOGIES AND METAPHORS ANALOGIES AND METAPHORS Lecturer: charbonneaum@ceu.edu 2 credits, elective Winter 2017 Monday 13:00-14:45 Not a day goes by without any of us using a metaphor or making an analogy between two things. Not

More information

Is there a good epistemological argument against platonism? DAVID LIGGINS

Is there a good epistemological argument against platonism? DAVID LIGGINS [This is the penultimate draft of an article that appeared in Analysis 66.2 (April 2006), 135-41, available here by permission of Analysis, the Analysis Trust, and Blackwell Publishing. The definitive

More information

Review of Stewart Shapiro, Philosophy of Mathematics: Structure and Ontology. Øystein Linnebo *

Review of Stewart Shapiro, Philosophy of Mathematics: Structure and Ontology. Øystein Linnebo * Review of Stewart Shapiro, Philosophy of Mathematics: Structure and Ontology Øystein Linnebo * This book is an important contribution to the philosophy of mathematics. It aims to clarify and answer questions

More information

7AAN2039 Kant I: Critique of Pure Reason Syllabus Academic year 2015/16

7AAN2039 Kant I: Critique of Pure Reason Syllabus Academic year 2015/16 7AAN2039 Kant I: Critique of Pure Reason Syllabus Academic year 2015/16 Basic information Credits: 20 Module Tutor: Dr Sacha Golob Office: 705, Philosophy Building Consultation time: 11:00 12:00 Wed Semester:

More information

HOLOCAUST AND TRAUMA LITERATURE

HOLOCAUST AND TRAUMA LITERATURE Syllabus HOLOCAUST AND TRAUMA LITERATURE - 33808 Last update 25-01-2014 HU Credits: 2 Degree/Cycle: 2nd degree (Master) Responsible Department: Jewish History and Contemporary Jewry Academic year: 1 Semester:

More information

Is Mathematics! Invented! OR! Discovered?!

Is Mathematics! Invented! OR! Discovered?! Is Mathematics! Invented! OR! Discovered?! Platonists! Camps! Logicism (on the fence between these two)! Formalists! Intuitionists / Constructivists! Platonism! Math exists eternally and independent of

More information

5AANA003 MODERN PHILOSOPHY II: LOCKE AND BERKELEY

5AANA003 MODERN PHILOSOPHY II: LOCKE AND BERKELEY School of Arts & Humanities Department of Philosophy 5AANA003 MODERN PHILOSOPHY II: LOCKE AND BERKELEY Syllabus Academic year 2013/4 Basic information Credits: 15 Module Tutor: Professor J. R. Milton Office:

More information

The Exeter College Summer Programme at Exeter College in the University of Oxford. Good Life or Moral Life?

The Exeter College Summer Programme at Exeter College in the University of Oxford. Good Life or Moral Life? The Exeter College Summer Programme at Exeter College in the University of Oxford Good Life or Moral Life? Course Description This course consists of four parts, each of which comprises (roughly) three

More information

CONSTRUCTING NUMBERS THROUGH MOMENTS IN TIME: KANT S PHILOSOPHY OF MATHEMATICS

CONSTRUCTING NUMBERS THROUGH MOMENTS IN TIME: KANT S PHILOSOPHY OF MATHEMATICS CONSTRUCTING NUMBERS THROUGH MOMENTS IN TIME: KANT S PHILOSOPHY OF MATHEMATICS A Thesis by PAUL ANTHONY WILSON Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment

More information

How Do We Know Anything about Mathematics? - A Defence of Platonism

How Do We Know Anything about Mathematics? - A Defence of Platonism How Do We Know Anything about Mathematics? - A Defence of Platonism Majda Trobok University of Rijeka original scientific paper UDK: 141.131 1:51 510.21 ABSTRACT In this paper I will try to say something

More information

Philosophy 1760 Philosophy of Language

Philosophy 1760 Philosophy of Language Philosophy 1760 Philosophy of Language Instructor: Richard Heck Office: 205 Gerard House Office hours: M1-2, W12-1 Email: rgheck@brown.edu Web site: http://frege.brown.edu/heck/ Office phone:(401)863-3217

More information

The Vicissitudes of Mathematical Reason in the 20th Century

The Vicissitudes of Mathematical Reason in the 20th Century The Vicissitudes of Mathematical Reason in the 20th Century Paolo Mancosu, The Adventure of Reason. Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900 1940, Oxford University Press,

More information

7AAN2027 Greek Philosophy II: Aristotle Syllabus Academic year 2015/16

7AAN2027 Greek Philosophy II: Aristotle Syllabus Academic year 2015/16 School of Arts & Humanities Department of Philosophy 7AAN2027 Greek Philosophy II: Aristotle Syllabus Academic year 2015/16 Basic information Credits: 20 Module Tutor: Dr Joachim Aufderheide Office: Room

More information

Cory Juhl, Eric Loomis, Analyticity (New York: Routledge, 2010).

Cory Juhl, Eric Loomis, Analyticity (New York: Routledge, 2010). Cory Juhl, Eric Loomis, Analyticity (New York: Routledge, 2010). Reviewed by Viorel Ţuţui 1 Since it was introduced by Immanuel Kant in the Critique of Pure Reason, the analytic synthetic distinction had

More information

Class #17: October 25 Conventionalism

Class #17: October 25 Conventionalism Philosophy 405: Knowledge, Truth and Mathematics Fall 2010 Hamilton College Russell Marcus Class #17: October 25 Conventionalism I. A Fourth School We have discussed the three main positions in the philosophy

More information

JAMES HAMPTON PAGE, Jr. B.A. The University of Maine (1975) DOCTOR OF PHILOSOPHY. at the. April r- 9 rw - -- A rr - T~ -

JAMES HAMPTON PAGE, Jr. B.A. The University of Maine (1975) DOCTOR OF PHILOSOPHY. at the. April r- 9 rw - -- A rr - T~ - T - if - "=--- ON THE METAPHYSICS OF NUMBERS by JAMES HAMPTON PAGE, Jr. M.Phil. The University of St. Andrews (1983) B.A. The University of Maine (1975) Submitted to the Department of Linguistics and Philosophy

More information

RELIGION AND TRANSLATION IN SOUTH & SE ASIA

RELIGION AND TRANSLATION IN SOUTH & SE ASIA Syllabus RELIGION AND TRANSLATION IN SOUTH & SE ASIA - 24927 Last update 03-04-2014 HU Credits: 2 Degree/Cycle: 1st degree (Bachelor) Responsible Department: Religion Academic year: 3 Semester: 2nd Semester

More information

NORTON ANTHOLOGY OF WESTERN PHILOSOPHY: AFTER KANT TABLE OF CONTENTS. Volume 2: The Analytic Tradition. Preface Acknowledgments GENERAL INTRODUCTION

NORTON ANTHOLOGY OF WESTERN PHILOSOPHY: AFTER KANT TABLE OF CONTENTS. Volume 2: The Analytic Tradition. Preface Acknowledgments GENERAL INTRODUCTION NORTON ANTHOLOGY OF WESTERN PHILOSOPHY: AFTER KANT TABLE OF CONTENTS Volume 2: The Analytic Tradition Preface Acknowledgments GENERAL INTRODUCTION I. THE 19 TH CENTURY AND EARLY 20 TH CENTURY BACKGROUND

More information

What kind of Intensional Logic do we really want/need?

What kind of Intensional Logic do we really want/need? What kind of Intensional Logic do we really want/need? Toward a Modal Metaphysics Dana S. Scott University Professor Emeritus Carnegie Mellon University Visiting Scholar University of California, Berkeley

More information

Department of Philosophy

Department of Philosophy Department of Philosophy Module descriptions 2018/19 Level I (i.e. normally 2 nd Yr.) Modules Please be aware that all modules are subject to availability. If you have any questions about the modules,

More information

Department of Philosophy. Module descriptions 2017/18. Level C (i.e. normally 1 st Yr.) Modules

Department of Philosophy. Module descriptions 2017/18. Level C (i.e. normally 1 st Yr.) Modules Department of Philosophy Module descriptions 2017/18 Level C (i.e. normally 1 st Yr.) Modules Please be aware that all modules are subject to availability. If you have any questions about the modules,

More information

Structuralism in the Philosophy of Mathematics

Structuralism in the Philosophy of Mathematics 1 Synthesis philosophica, vol. 15, fasc.1-2, str. 65-75 ORIGINAL PAPER udc 130.2:16:51 Structuralism in the Philosophy of Mathematics Majda Trobok University of Rijeka Abstract Structuralism in the philosophy

More information

AN EPISTEMIC STRUCTURALIST ACCOUNT

AN EPISTEMIC STRUCTURALIST ACCOUNT AN EPISTEMIC STRUCTURALIST ACCOUNT OF MATHEMATICAL KNOWLEDGE by Lisa Lehrer Dive Thesis submitted for the degree of Doctor of Philosophy 2003 Department of Philosophy, University of Sydney ABSTRACT This

More information

Professor David-Hillel Ruben, Professor of Philosophy, Birkbeck, University of London

Professor David-Hillel Ruben, Professor of Philosophy, Birkbeck, University of London Professor David-Hillel Ruben, Professor of Philosophy, Birkbeck, University of London D.-H. Ruben - curriculum vitae Personal Data e-mail: david.ruben1@yahoo.co.uk also at: d.ruben@bbk.ac.uk ACADEMIC POSITIONS:

More information

ESSAYS IN HONOR OF CARL G. HEMPEL

ESSAYS IN HONOR OF CARL G. HEMPEL ESSAYS IN HONOR OF CARL G. HEMPEL SYNTHESE LIBRARY MONOGRAPHS ON EPISTEMOLOGY, LOGIC, METHODOLOGY, PHILOSOPHY OF SCIENCE, SOCIOLOGY OF SCIENCE AND OF KNOWLEDGE, AND ON THE MATHEMATICAL METHODS OF SOCIAL

More information

A Puzzle About Ontological Commitments. Philip A. Ebert. Introduction. Philosophia Mathematica (III) 16 (2008), page 209 of 226

A Puzzle About Ontological Commitments. Philip A. Ebert. Introduction. Philosophia Mathematica (III) 16 (2008), page 209 of 226 Philosophia Mathematica (III) 16 (2008), page 209 of 226 doi:10.1093/philmat/nkm050 Advance Access publication March 5, 2008 A Puzzle About Ontological Commitments Philip A. Ebert This paper raises and

More information

Masters in Logic and Metaphysics

Masters in Logic and Metaphysics Masters in Logic and Metaphysics Programme Requirements The Department of Philosophy, in collaboration with the Department of Philosophy at the University of Stirling, offer the following postgraduate

More information

LITERARY SOURCES OF CHRISTIAN ART

LITERARY SOURCES OF CHRISTIAN ART Syllabus LITERARY SOURCES OF CHRISTIAN ART - 5219 Last update 23-03-2015 HU Credits: 2 Degree/Cycle: 1st degree (Bachelor) Responsible Department: History of Art Academic year: 1 Semester: 1st Semester

More information

Quine, Putnam, and the Quine-Putnam indispensability argument

Quine, Putnam, and the Quine-Putnam indispensability argument [This paper was published in Erkenntnis 68.1 (January 2008), pp. 113 27. The official version is available to subscribers at http://www.springerlink.com/content/v83j47683u252422/fulltext.pdf.] Quine, Putnam,

More information

What Is Existence? 1. 1 Introduction. João Branquinho University of Lisbon and LanCog Group

What Is Existence? 1. 1 Introduction. João Branquinho University of Lisbon and LanCog Group What Is Existence? 1 University of Lisbon and LanCog Group BIBLID [0873-626X (2012) 34; pp. 575-590] 1 Introduction This paper has a negative and a positive claim. The negative claim is that the Frege-Russell

More information

Christopher N. Foster Curriculum Vitae

Christopher N. Foster Curriculum Vitae Christopher N. Foster Curriculum Vitae Department of Philosophy 1188 W. 1460 N. Brigham Young University Provo, UT 84604 4077 JFSB (801) 623-0525 Provo, UT 84602 chris_foster@byu.edu Areas of Specialization:

More information

John J. Callanan. Curriculum Vitae

John J. Callanan. Curriculum Vitae John J. Callanan Curriculum Vitae Department of Philosophy Rm 710, Philosophy Building Strand Campus King s College London London WC2R 2LS Dept Ph: 00-44-20-78482230 Email: john.callanan@kcl.ac.uk Personal

More information

Foundations of Analytic Philosophy

Foundations of Analytic Philosophy Foundations of Analytic Philosophy Foundations of Analytic Philosophy (2016-7) Mark Textor Lecture Plan: We will look at the ideas of Frege, Russell and Wittgenstein and the relations between them. Frege

More information

Nominalism in the Philosophy of Mathematics First published Mon Sep 16, 2013

Nominalism in the Philosophy of Mathematics First published Mon Sep 16, 2013 Open access to the SEP is made possible by a world-wide funding initiative. Please Read How You Can Help Keep the Encyclopedia Free Nominalism in the Philosophy of Mathematics First published Mon Sep 16,

More information

Alan W. Richardson s Carnap s Construction of the World

Alan W. Richardson s Carnap s Construction of the World Alan W. Richardson s Carnap s Construction of the World Gabriella Crocco To cite this version: Gabriella Crocco. Alan W. Richardson s Carnap s Construction of the World. Erkenntnis, Springer Verlag, 2000,

More information

Hao Wang as Philosopher

Hao Wang as Philosopher Hao Wang as Philosopher Charles Parsons Harvard University Department of Philosophy In this paper I attempt to convey an idea of Hao Wang's style as a philosopher and to identify some of his contributions

More information

Tuomas E. Tahko (University of Helsinki)

Tuomas E. Tahko (University of Helsinki) Meta-metaphysics Routledge Encyclopedia of Philosophy, forthcoming in October 2018 Tuomas E. Tahko (University of Helsinki) tuomas.tahko@helsinki.fi www.ttahko.net Article Summary Meta-metaphysics concerns

More information

Dumitrescu Bogdan Andrei - The incompatibility of analytic statements with Quine s universal revisability

Dumitrescu Bogdan Andrei - The incompatibility of analytic statements with Quine s universal revisability Dumitrescu Bogdan Andrei - The incompatibility of analytic statements with Quine s universal revisability Abstract: This very brief essay is concerned with Grice and Strawson s article In Defense of a

More information

Skepticism, Naturalism, and Therapy

Skepticism, Naturalism, and Therapy Skepticism, Naturalism, and Therapy Fall 2007 - Winter 2008 Our goal in this course is to investigate radical skepticism about the external world, primarily to compare and contrast various naturalist and

More information

PHIL 4800/5800/5801 Fall Core Theoretical Philosophy I and II

PHIL 4800/5800/5801 Fall Core Theoretical Philosophy I and II PHIL 4800/5800/5801 Fall 2008 2009 Core Theoretical Philosophy I and II Course Directors: C. Verheggen M. A. Khalidi cverheg@yorku.ca khalidi@yorku.ca Ross S436 Ross S438 This course offers an advanced

More information

Against the No-Miracle Response to Indispensability Arguments

Against the No-Miracle Response to Indispensability Arguments Against the No-Miracle Response to Indispensability Arguments I. Overview One of the most influential of the contemporary arguments for the existence of abstract entities is the so-called Quine-Putnam

More information

Conventionalism and the linguistic doctrine of logical truth

Conventionalism and the linguistic doctrine of logical truth 1 Conventionalism and the linguistic doctrine of logical truth 1.1 Introduction Quine s work on analyticity, translation, and reference has sweeping philosophical implications. In his first important philosophical

More information

Some objections to structuralism * Charles Parsons. By "structuralism" in what follows I mean the structuralist view of

Some objections to structuralism * Charles Parsons. By structuralism in what follows I mean the structuralist view of Version 1.2.3, 12/31/12. Draft, not to be quoted or cited without permission. Some objections to structuralism * Charles Parsons By "structuralism" in what follows I mean the structuralist view of mathematical

More information

Debating (Neo)logicism: Frege and the neo-fregeans

Debating (Neo)logicism: Frege and the neo-fregeans 1 Between Logic and Reality: Modelling Inference, Action and Understanding Debating (Neo)logicism: Frege and the neo-fregeans Majda Trobok University of Rijeka trobok@ffri.hr Abstract The paper s aim is

More information

NB: Presentations will be assigned on the second week. Suggested essay topics will be distributed in May.

NB: Presentations will be assigned on the second week. Suggested essay topics will be distributed in May. PHILOSOPHY OF LOGIC Time and Place: Thursdays 14:15-15:45, 23.02/U1.61 Instructor: Dr. Ioannis Votsis E-mail: votsis@phil-fak.uni-duesseldorf.de Office hours (Room Geb. 23.21/04.86): Thursdays 11:00-12:00

More information

The Nature of Enquiry

The Nature of Enquiry The Nature of Enquiry Dr John Ravenscroft (Course Organiser) Credit Rating 20 credits, SCQF 11 Course Summary The aim of this course is to introduce philosophical and epistemological perspectives that

More information

The Paradox of Knowability and Semantic Anti-Realism

The Paradox of Knowability and Semantic Anti-Realism The Paradox of Knowability and Semantic Anti-Realism Julianne Chung B.A. Honours Thesis Supervisor: Richard Zach Department of Philosophy University of Calgary 2007 UNIVERSITY OF CALGARY This copy is to

More information

On Naturalism in Mathematics

On Naturalism in Mathematics On Naturalism in Mathematics Alfred Lundberg Bachelor s Thesis, Spring 2007 Supervison: Christian Bennet Department of Philosophy Göteborg University 1 Contents Contents...2 Introduction... 3 Naïve Questions...

More information

Right-Making, Reference, and Reduction

Right-Making, Reference, and Reduction Right-Making, Reference, and Reduction Kent State University BIBLID [0873-626X (2014) 39; pp. 139-145] Abstract The causal theory of reference (CTR) provides a well-articulated and widely-accepted account

More information

First- or Second-Order Logic? Quine, Putnam and the Skolem-paradox *

First- or Second-Order Logic? Quine, Putnam and the Skolem-paradox * First- or Second-Order Logic? Quine, Putnam and the Skolem-paradox * András Máté EötvösUniversity Budapest Department of Logic andras.mate@elte.hu The Löwenheim-Skolem theorem has been the earliest of

More information

Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at

Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at Philosophical Review Philosophy of Language and Mind: 1950-1990 Author(s): Tyler Burge Source: The Philosophical Review, Vol. 101, No. 1, Philosophy in Review: Essays on Contemporary Philosophy (Jan.,

More information

5AANA009 Epistemology II 2014 to 2015

5AANA009 Epistemology II 2014 to 2015 5AANA009 Epistemology II 2014 to 2015 Credit value: 15 Module tutor (2014-2015): Dr David Galloway Assessment Office: PB 803 Office hours: Wednesday 3 to 5pm Contact: david.galloway@kcl.ac.uk Summative

More information

Twentieth-Century Analytic Philosophy by Avrum Stroll

Twentieth-Century Analytic Philosophy by Avrum Stroll Twentieth-Century Analytic Philosophy by Avrum Stroll Columbia University Press: New York, 2000. 302pp, Hardcover, $32.50. Brad Majors University of Kansas The history of analytic philosophy is a troubled

More information

7AAN4021 General Philosophy

7AAN4021 General Philosophy School of Arts & Humanities Department of Philosophy 7AAN4021 General Philosophy Academic year 2014/15 Semesters 1 & 2 Basic information Credits: 40 Module Lecturers: - Semester 1: David Galloway (Epistemology);

More information

Faults and Mathematical Disagreement

Faults and Mathematical Disagreement 45 Faults and Mathematical Disagreement María Ponte ILCLI. University of the Basque Country mariaponteazca@gmail.com Abstract: My aim in this paper is to analyse the notion of mathematical disagreements

More information

TWO CRITICISMS AGAINST MATHEMATICAL REALISM

TWO CRITICISMS AGAINST MATHEMATICAL REALISM Diametros 52 (2017): 96 106 doi: 10.13153/diam.52.2017.1061 TWO CRITICISMS AGAINST MATHEMATICAL REALISM Seungbae Park Abstract. Mathematical realism asserts that mathematical objects exist in the abstract

More information

Curriculum Vitae. Joseph Mendola

Curriculum Vitae. Joseph Mendola Curriculum Vitae Joseph Mendola Work Address: Department of Philosophy 1010 Oldfather Hall University of Nebraska Lincoln, NE 68588-0321 (402) 472-0528 email: jmendola1@unl.edu Employment: Professor of

More information

Descriptions of Courses Taught

Descriptions of Courses Taught Descriptions of Courses Taught I have designed, taught, and evaluated each of the following courses as an independent Instructor. Bridgewater State University Metaphysics (PHIL 405): Fall 2015, Spring

More information

PHIL 3140: Epistemology

PHIL 3140: Epistemology PHIL 3140: Epistemology 0.5 credit. Fundamental issues concerning the relation between evidence, rationality, and knowledge. Topics may include: skepticism, the nature of belief, the structure of justification,

More information

Constructing the World

Constructing the World Constructing the World Lecture 5: Hard Cases: Mathematics, Normativity, Intentionality, Ontology David Chalmers Plan *1. Hard cases 2. Mathematical truths 3. Normative truths 4. Intentional truths 5. Philosophical

More information

Introduction. Agustín Rayo and Gabriel Uzquiano 1.1 THE PROBLEM OF ABSOLUTE GENERALITY

Introduction. Agustín Rayo and Gabriel Uzquiano 1.1 THE PROBLEM OF ABSOLUTE GENERALITY 1 Introduction Agustín Rayo and Gabriel Uzquiano 1.1 THE PROBLEM OF ABSOLUTE GENERALITY Absolutely general inquiry is inquiry concerning absolutely everything there is. A cursory look at philosophical

More information

Potentialism about set theory

Potentialism about set theory Potentialism about set theory Øystein Linnebo University of Oslo SotFoM III, 21 23 September 2015 Øystein Linnebo (University of Oslo) Potentialism about set theory 21 23 September 2015 1 / 23 Open-endedness

More information

Advanced Topics in Metaphysics (L6/7) Alex Grzankowski Autumn 2016

Advanced Topics in Metaphysics (L6/7) Alex Grzankowski Autumn 2016 Advanced Topics in Metaphysics (L6/7) Alex Grzankowski Autumn 2016 Class Meetings: Thursdays 18:00 E-mail: a.grzankowski@bbk.ac.uk Office: Dept. of Philosophy, room 313 30 Russell Square Description: This

More information

Theories of Justice

Theories of Justice Syllabus Theories of Justice - 56981 Last update 06-08-2014 HU Credits: 2 Degree/Cycle: 1st degree (Bachelor) Responsible Department: political Science Academic year: 2 Semester: 2nd Semester Teaching

More information

7AAN2026 Greek Philosophy I: Plato Syllabus Academic year 2016/17

7AAN2026 Greek Philosophy I: Plato Syllabus Academic year 2016/17 School of Arts & Humanities Department of Philosophy 7AAN2026 Greek Philosophy I: Plato Syllabus Academic year 2016/17 Basic information Credits: 20 Module Tutor: Raphael Woolf Office: room 712, Philosophy

More information

Modern Philosophy II

Modern Philosophy II Modern Philosophy II 2016-17 Michaelmas: Kant Reading List and Essay Titles Lectures & tutorials: Dr. Andrew Cooper Module aims To introduce students to Kant s Critique of Pure Reason and to the philosophies

More information

CURRICULUM VITAE of Joshua Hoffman. Department of Philosophy, University of North Carolina at Greensboro, Greensboro, N.C.,

CURRICULUM VITAE of Joshua Hoffman. Department of Philosophy, University of North Carolina at Greensboro, Greensboro, N.C., CURRICULUM VITAE of Joshua Hoffman Address: Department of Philosophy, University of North Carolina at Greensboro, Greensboro, N.C., 27412. Telephone: (336) 334-5471; (336) 334-5059. Email: Areas of Specialization:

More information