Combining Texts

All the ideas for 'What is a Leading Principle?', 'Introduction to 'Hippias Minor'' and 'works'

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4 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara]
For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
A mathematical object exists if there is no contradiction in its definition [Waterfield]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
A 'belief' is a habit which determines how our imagination and actions proceed [Peirce]