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PHIL 537

Paradox and Infinity

Paradoxes aren't curiosities here — they're the pressure points where logic, metaphysics, epistemology, and decision theory crack open, and the course uses them as a way to do serious philosophy rather than collect puzzles. You'll work through canonical readings (Zeno, McTaggart, Lewis on time travel, the Liar, Sleeping Beauty, Cantor) and write weekly reports that reconstruct arguments and defend a position, which is most of the grade. As a graduate-level seminar it assumes you're comfortable with formal reasoning and want practice arguing precisely about the cases that break our intuitions about truth, time, infinity, and rational belief.

Credit3ECTS5FacultyFaculty of Humanities and LettersBölümPhilosophy

Değerlendirme 20% — 1 adım

20%
Weekly Reports Weekly Position paper 20%

Haftalık müfredat 14 hafta

Hafta 1
1. Introduction. 2. Logic and Argumentation.
Hafta 2
The unreality of time McTaggart: The unreality of time Zimmerman: The privileged present
Hafta 3
Time travel Lewis: The paradoxes of time travel Smith: Bananas enough for time travel?
Hafta 4
Backward causation Dummett: Bringing about the past Ismael: Closed causal loops and the bilking argument
Hafta 5
Fate Taylor: Fatalism Van Inwagen: Fatalism
Hafta 6
Zeno’s paradoxes, Kant’s antinomies 1 and 2 Black: Achilles and the Tortoise Van Cleve: The ideality of matter
Hafta 7
The Heap Williamson: What makes it a heap? Varzi: Vagueness, logic, and ontology
Hafta 8
midterm exam
Hafta 9
The Liar Read: Symmetry and paradox Sorensen: Yablo’s Paradox and kindred infinite liars
Hafta 10
Doomsday and simulation Leslie: Is the end of the world nigh? Bostrom: Are you living in a computer simulation?
Hafta 11
Sleeping Beauty Elga: Self-locating belief and the Sleeping Beauty problem Arntzenius: Some problems for conditionalization and reflection
Hafta 12
Prisoner’s Dilemma Black: The “Prisoner's Dilemma" and the limits of rationality Aranyosi: Frames and games: intensionality and equilibrium selection
Hafta 13
Hilbert’s hotel Craig: The Finitude of the Past and the Existence of God Morriston: Craig on the actual infinite
Hafta 14
Cantor’s paradise Gödel: What is Cantor's Continuum Problem? Parker: Philosophical method and Galileo’s paradox of infinity

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⚠️ FZ engelleyen şartlar

Course Learning Outcomes: Course Learning Outcome Assessment Interpret and critically analyze arguments in a philosophical text, present their results in a clearly structured written form. Weekly Position paper Midterm Present their philosophical ideas and criticism in a clear fashion. Weekly Position paper Midterm Identify the key problems in the given text and debate possible solutions to them. Weekly Position paper Midterm Assess the soundness of views propounded in philosophical works. Midte

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Istvan Albert Aranyosi, Nicholas Di Bella