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All the ideas for 'Necessary Existents', 'Essentials of Pragmatism' and 'Logicism in the 21st Century'

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9 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
8784 Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
8787 The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
8788 Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
8783 Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
14794 Instead of seeking Truth, we should seek belief that is beyond doubt [Peirce]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
14792 A 'conception', the rational implication of a word, lies in its bearing upon the conduct of life [Peirce]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
14793 The definition of a concept is just its experimental implications [Peirce]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
8786 One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]
19. Language / D. Propositions / 3. Concrete Propositions
19216 Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]