Combining Texts

All the ideas for 'Symbolic Reasoning', 'Possible Worlds' and 'Intuitionism and Formalism'

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9 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency

12452

Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set

21548

The null class is the class with all the non-existents as its members [MacColl, by Lackey]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

12451

Scientific laws largely rest on the results of counting and measuring [Brouwer]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

12454

Intuitionists only accept denumerable sets [Brouwer]

12453

Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]

7. Existence / A. Nature of Existence / 2. Types of Existence

15789

Lewis's distinction of 'existing' from 'being actual' is Meinong's between 'existing' and 'subsisting' [Lycan on Lewis]

10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism

15790

Lewis can't know possible worlds without first knowing what is possible or impossible [Lycan on Lewis]

15791

What are the ontological grounds for grouping possibilia into worlds? [Lycan on Lewis]

19. Language / A. Nature of Meaning / 5. Meaning as Verification

10117

Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]