- 来自www.coursera.org
Introduction to Mathematical Philosophy
你无法访问存档的 讲座
- 免费获取
- 免费证书
- 8 序列
- 等级 介绍
课程详情
教学大纲
Week One: Infinity (Zeno's Paradox, Galileo's Paradox, very basic set theory, infinite sets).
Week Two: Truth (Tarski's theory of truth, recursive definitions, complete induction over sentences, Liar Paradox).
Week Three: Rational Belief (propositions as sets of possible worlds, rational all-or-nothing belief, rational degrees of belief, bets, Lottery Paradox).
Week Four: If-then (indicative vs subjunctive conditionals, conditionals in mathematics, conditional rational degrees of belief, beliefs in conditionals vs conditional beliefs).
Week Five: Confirmation (the underdetermination thesis, the Monty Hall Problem, Bayesian confirmation theory).
Week Six: Decision (decision making under risk, maximizing xpected utility, von Neumann Morgenstern axioms and representation theorem, Allais Paradox, Ellsberg Paradox).
Week Seven: Voting (Condorcet Paradox, Arrows Theorem, Condorcet Jury Theorem, Judgment Aggregation).
Week Eight: Quantum Logic and Probability (statistical correlations, the CHSH inequality, Boolean and non-Boolean algebras, violation of distributivity)
Week Two: Truth (Tarski's theory of truth, recursive definitions, complete induction over sentences, Liar Paradox).
Week Three: Rational Belief (propositions as sets of possible worlds, rational all-or-nothing belief, rational degrees of belief, bets, Lottery Paradox).
Week Four: If-then (indicative vs subjunctive conditionals, conditionals in mathematics, conditional rational degrees of belief, beliefs in conditionals vs conditional beliefs).
Week Five: Confirmation (the underdetermination thesis, the Monty Hall Problem, Bayesian confirmation theory).
Week Six: Decision (decision making under risk, maximizing xpected utility, von Neumann Morgenstern axioms and representation theorem, Allais Paradox, Ellsberg Paradox).
Week Seven: Voting (Condorcet Paradox, Arrows Theorem, Condorcet Jury Theorem, Judgment Aggregation).
Week Eight: Quantum Logic and Probability (statistical correlations, the CHSH inequality, Boolean and non-Boolean algebras, violation of distributivity)
先决条件
没有。
讲师
- Hannes Leitgeb - Munich Center for Mathematical Philosophy
- Stephan Hartmann - Munich Center for Mathematical Philosophy
编辑
As one of Europe's leading research universities, LMU Munich is committed to the highest international standards of excellence in research and teaching. Building on its 500-year-tradition of scholarship, LMU covers a broad spectrum of disciplines, ranging from the humanities and cultural studies through law, economics and social studies to medicine and the sciences.
平台
Coursera是一家数字公司，提供由位于加利福尼亚州山景城的计算机教师Andrew Ng和达芙妮科勒斯坦福大学创建的大型开放式在线课程。
Coursera与顶尖大学和组织合作，在线提供一些课程，并提供许多科目的课程，包括：物理，工程，人文，医学，生物学，社会科学，数学，商业，计算机科学，数字营销，数据科学 和其他科目。
此内容评级为 5/5
(没有评论)此内容评级为 5/5
(没有评论)完成这个资源，写一篇评论