Combining Texts

All the ideas for 'works', 'Mental Files in Flux' and 'Philosophy of Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts


18 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
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 / I. Semantics of Logic / 1. Semantics of Logic
In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
7. Existence / D. Theories of Reality / 4. Anti-realism
Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha]
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 / 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]