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