Intuitionism Kareem Khalifa Philosophy Department Middlebury College.

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Presentation transcript:

Intuitionism Kareem Khalifa Philosophy Department Middlebury College

Overview 1.Why be an intuitionist? 2.Inhabiting the intuitionist worldview 3.Concepts, extensions, & other goodies 4.The four questions

1. Why be an intuitionist? 1.1. Parsimony 1.2. The Classic 1.3. Dummett* 1.4. Generality*

2. Inhabiting the intuitionist worldview 2.1. And, or, if-then 2.2. Negation

3. Concepts, sets, and other goodies 3.1. Russell’s paradox 3.2. Realists vs. intuitionists 3.3. Quantifiers 3.4. Math example

4. The four questions 3.1. Semantics 3.2. Ontology 3.3. Epistemology 3.4. Applicability