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Intuitionism
Kareem KhalifaPhilosophy Department
Middlebury College
Overview
1. Why be an intuitionist?2. Inhabiting the
intuitionist worldview3. Concepts, extensions, &
other goodies4. The four questions
1. Why be an intuitionist?
1.1. Parsimony1.2. The Classic1.3. Dummett*1.4. Generality*
2. Inhabiting the intuitionist worldview
2.1. And, or, if-then2.2. Negation
3. Concepts, sets, and other goodies
3.1. Russell’s paradox3.2. Realists vs. intuitionists3.3. Quantifiers3.4. Math example
4. The four questions
3.1. Semantics3.2. Ontology3.3. Epistemology3.4. Applicability