September 5 |
- 15-17. Organisation of the Course. Logic in the different scientific disciplines.
- 17-18. Q/A Session of the Student Mentors.
- Homework Set #1: PDF File (Deadline: September 12th, 2007)
- Lecture Slides #1: PDF File
|
September 12 |
- 15-17. Formalizations.
- 17-18. Exercise session.
- Homework Set #2: PDF File
(Deadline: September 19th, 2007)
- Lecture Slides #2: PDF File
|
September 19 | Class
cancelled |
September 26 |
- 15-17. Formalizations II. Origins of logic: Greek mathematics (Euclid) and Greek disputations. The Square of Oppositions. Aristotelian categories.
- 17-18. Guest Lecture.
Jeroen Bons (Amsterdam & Utrecht).
Aristotle on Arguments in Rhetoric.
- Homework Set #3: PDF File (Deadline: October 3rd, 2007.)
- Lecture Slides #3: PDF File
- Dmitri Panchenko, Thales and the Origin of Theoretical Reasoning, Configurations 1 (1993), p.387-414
|
October 3 |
- 15-17. Aristotelian syllogistics. Aristotelian Modal Logic.
Aristotelian Temporal Logic.
- 17-18. Guest Lecture. Rens Bod (Amsterdam &
St.Andrews). A Unifying Approach to Language, Music and Vision.
PDF
file of slides; dated 2005
- Homework Set #4: PDF File (Deadline: October 10th, 2007.)
- Lecture Slides #4: PDF File
- The 24 valid moods.
- Fred Richman, Equivalence of Syllogisms, Notre Dame Journal of Formal Logic 45
(2004), p.215-233; PDF File
|
October 10 |
- 15-17.
Stoic and Megarian Logic. Neoplatonism. Boëthius. Logic and Theology in the Middle Ages.
Anselm of Canterbury.
- 17-18. Guest Lecture. Michiel van
Lambalgen
(Amsterdam). Logic in a Neuroscience Lab.
- Homework Set #5: PDF File (Deadline: October 17th, 2007.)
- Lecture Slides #5: PDF File
- Alan Code, Aristotle's response to Quine's objections to modal logic, Journal of
Philosophical Logic 5 (1976), p. 159-186: PDF File.
- Christopher J. Martin, The Logic of Negation in Boethius, Phronesis 36 (1991), p.
277-304: PDF File.
|
October 17 |
- 15-17. Trivium and Quadrivium.
The early middle ages. Peter Abelard. The Universities.
- 17-18. Guest Lecture. Martin Stokhof
(Amsterdam). Re-thinking formal semantics.
PDF file of slides (note that these are not the
slides of the guest lecture, but slides of a talk in Beijing that Stokhof
used as part of the guest lecture).
- Homework Set #6: PDF File (Deadline: October 24th, 2007.)
- Lecture Slides #6: PDF File
- Paul Vincent Spade, Why Don't Mediaeval Logicians Ever Tell Us What They're Doing? Or, What
Is
This, A Conspiracy?, preprint 2000: PDF File
- Michael A. Covington, Scientia Sermocinalis: Grammar in Medieval Classifications of the Sciences, in: Nicola McLelland, Andrew Linn (eds.), Flores grammaticae: Essays in Memory of Vivien Law, p.49-54; PDF File
- Hans Thijssen, Condemnation of 1277, in: Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy (Spring 2003 Edition)
|
October 24 |
- 15-17. Logic in the late middle ages (XIIIth and XIVth century). Termistic logic. Insolubles.
Some game-theoretic
interpretations of logic: Dialogic logic.
Obligationes.
- 17-18. Guest Lecture. Jelle Zuidema
(Amsterdam). Formal Models of the Evolution of Language.
PDF
file of the slides of the 2006 talk.
- Homework Set #7: PDF
File (Deadline: October 31st, 2007.)
- Lecture Slides #7: PDF File
|
October 31 |
- 15-17.
The great changes between 1450 and 1550. Leibniz ("calculemus").
- 17-18. Guest Lecture. Jaap Maat (Amsterdam). Logic
in the XVIIth century.
- Homework Set #8: PDF File (Deadline: November 7th, 2007).
- Lecture Slides #8: PDF File
- Peter King, Opposing and Responding: Comments on Paul Spade,
unpublished notes, 2004; PDF
file
|
November 7 |
- 15-16. Guest Lecture. Catarina
Dutilh Novaes (Amsterdam). Medieval theories of
consequence. PDF file.
- 16-18. Algebraic approaches to logic in the XIXth century. De
Morgan. Boole. Boolean algebras as mathematizations of reasoning. Geometry as a prototype for abstract mathematics.
- Homework Set #9: PDF File (Deadline: November 14th, 2007.)
- Lecture Slides #9: PDF File
- Wilfrid Hodges, An editor recalls some hopeless papers,
Bulletin of Symbolic Logic 4 (1998), p. 1-16: JSTOR page
- George Boolos, Gödel's Second Incompleteness Theorem Explained
in Words of One Syllable,
Mind 103 (1994), p.1-3:
JSTOR
page
|
November 14 |
- 15-17. Naïve Set Theory as an example for abstract mathematics. First-order logic: Frege, Hilbert, Gödel.
- 17-18. Guest Lecture. Albert Visser
(Utrecht). Provability Logics of Constructive Theories.
PDF file.
- Homework Set #10: PDF File (Deadline: November 21st, 2007.)
- Lecture Slides #10: PDF File
- Leon Henkin, The Discovery of my completeness proof,
Bulletin of Symbolic Logic 2 (1996), p.127-158. PDF file.
|
November 21 |
- 15-17. Foundations of Mathematics. The Grundlagenkrise der Mathematik.
- 17-18. Guest Lecture. Jouko
Väänänen (Amsterdam). Model-theoretic
logics.
- Homework Set #11: PDF File (Deadline: November 28th, 2007.)
- Lecture Slides #11: PDF File
|
November 28 |
- 15-17. Axiomatization of Set Theory. Hilbert's Programme. Gödel's Incompleteness Theorems.
-
17-18. Guest Lecture.
Ulle Endriss
(Amsterdam). Manipulation in
Approval Voting. PDF file.
- Homework Set #12: PDF File (Deadline: December 5th, 2007.)
- Lecture Slides #12: PDF File
- David Hilbert, Mathematische Probleme. Vortrag, gehalten auf dem internationalen
Mathematiker-Kongreß zu Paris 1900. PDF-File.
- Richard Zach, Hilbert's "Verunglückter Beweis," the first epsilon theorem, and consistency proofs, History and Philosophy of Logic 25 (2004), p.79-94.
- Richard Zach, The practice of finitism: Epsilon calculus and consistency proofs in Hilbert's Program, Synthese 137 (2003), p.211-259.
|
December 5 |
- 15-17. Proof Theory. Computability: Turing and the Halting Problem. The Church-Turing Thesis. Recursion Theory. Model Theory. Tarski. Set Theory. The modern view of modal logic: Kripke models and frames.
- 17-18. Guest Lecture.
Yde Venema
(Amsterdam). Modal Fixpoint Logics. PDF file of slides.
- Homework Set #13: PDF File
(Deadline: December 12th, 2007.)
- Lecture Slides #13: PDF File
|
December 12 |
- 15-17. Applications of Modal Logic: standard translation, intuitionistic logic, provability logic. An overview of recent developments in mathematical logic.
- 17-18. Guest Lecture.
Johan van Benthem
(Amsterdam & Stanford). Logic as a theory of intelligent
interaction.
- Lecture Slides #14:
PDF file
- Joel D.Hamkins, A simple maximality principle, Journal of
Symbolic Logic, 68
(2003), p.527-550: PDF File.
- Thomas Bolander, Self-Reference and Logic, Phi News 1
(2002), p.9-44:
PDF
File.
|
December 19 | Exam
week. No
classes |