Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'Mental Files in Flux' and 'Intuitionism and Formalism'

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14 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
A train of reasoning must be treated as all happening simultaneously [Recanati]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Scientific laws largely rest on the results of counting and measuring [Brouwer]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
18. Thought / A. Modes of Thought / 9. Indexical Thought
Indexicality is not just a feature of language; examples show it also occurs in thought [Recanati]
How can we communicate indexical thoughts to people not in the right context? [Recanati]
18. Thought / B. Mechanics of Thought / 5. Mental Files
Mental files are concepts, which are either collections or (better) containers [Recanati]
The Frege case of believing a thing is both F and not-F is explained by separate mental files [Recanati]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
A linguistic expression refers to what its associated mental file refers to [Recanati]
19. Language / D. Propositions / 4. Mental Propositions
There are speakers' thoughts and hearers' thoughts, but no further thought attached to the utterance [Recanati]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The Naive view of communication is that hearers acquire exactly the thoughts of the speaker [Recanati]