Combining Texts

All the ideas for 'Logical Pluralism', 'Is Mathematics purely Linguistic?' and 'On Sense and Reference'

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


57 ideas

3. Truth / A. Truth Problems / 1. Truth
Some truths have true negations [Beall/Restall]
3. Truth / A. Truth Problems / 5. Truth Bearers
Frege was strongly in favour of taking truth to attach to propositions [Frege, by Dummett]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A truthmaker is an object which entails a sentence [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
(∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
Excluded middle must be true for some situation, not for all situations [Beall/Restall]
Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall]
Relevant logic does not abandon classical logic [Beall/Restall]
A doesn't imply A - that would be circular [Beall/Restall]
Relevant logic may reject transitivity [Beall/Restall]
It's 'relevantly' valid if all those situations make it true [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall]
Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
The model theory of classical predicate logic is mathematics [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
There are several different consequence relations [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
A sentence follows from others if they always model it [Beall/Restall]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
We can treat designation by a few words as a proper name [Frege]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
A Fregean proper name has a sense determining an object, instead of a concept [Frege, by Sainsbury]
People may have different senses for 'Aristotle', like 'pupil of Plato' or 'teacher of Alexander' [Frege]
Proper name in modal contexts refer obliquely, to their usual sense [Frege, by Gibbard]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
The meaning of a proper name is the designated object [Frege]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Frege ascribes reference to incomplete expressions, as well as to singular terms [Frege, by Hale]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
If sentences have a 'sense', empty name sentences can be understood that way [Frege, by Sawyer]
It is a weakness of natural languages to contain non-denoting names [Frege]
In a logically perfect language every well-formed proper name designates an object [Frege]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 6. Intensionalism
Frege is intensionalist about reference, as it is determined by sense; identity of objects comes first [Frege, by Jacquette]
Frege moved from extensional to intensional semantics when he added the idea of 'sense' [Frege, by Sawyer]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Numbers are just verbal conveniences, which can be analysed away [Russell]
8. Modes of Existence / D. Universals / 1. Universals
We can't get a semantics from nouns and predicates referring to the same thing [Frege, by Dummett]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Frege was asking how identities could be informative [Frege, by Perry]
10. Modality / A. Necessity / 3. Types of Necessity
Relevant necessity is always true for some situation (not all situations) [Beall/Restall]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is always predicating a property of a subject [Beall/Restall]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
'The concept "horse"' denotes a concept, yet seems also to denote an object [Frege, by McGee]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Frege failed to show when two sets of truth-conditions are equivalent [Frege, by Potter]
The meaning (reference) of a sentence is its truth value - the circumstance of it being true or false [Frege]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
Holism says all language use is also a change in the rules of language [Frege, by Dummett]
19. Language / B. Reference / 1. Reference theories
The reference of a word should be understood as part of the reference of the sentence [Frege]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Frege's Puzzle: from different semantics we infer different reference for two names with the same reference [Frege, by Fine,K]
Frege's 'sense' is ambiguous, between the meaning of a designator, and how it fixes reference [Kripke on Frege]
Every descriptive name has a sense, but may not have a reference [Frege]
Frege started as anti-realist, but the sense/reference distinction led him to realism [Frege, by Benardete,JA]
The meaning (reference) of 'evening star' is the same as that of 'morning star', but not the sense [Frege]
In maths, there are phrases with a clear sense, but no actual reference [Frege]
We are driven from sense to reference by our desire for truth [Frege]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
Expressions always give ways of thinking of referents, rather than the referents themselves [Frege, by Soames]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
'Sense' gives meaning to non-referring names, and to two expressions for one referent [Frege, by Margolis/Laurence]
Frege was the first to construct a plausible theory of meaning [Frege, by Dummett]
Earlier Frege focuses on content itself; later he became interested in understanding content [Frege, by Dummett]
Frege divided the meaning of a sentence into sense, force and tone [Frege, by Dummett]
Frege uses 'sense' to mean both a designator's meaning, and the way its reference is determined [Kripke on Frege]
Frege explained meaning as sense, semantic value, reference, force and tone [Frege, by Miller,A]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall]
19. Language / D. Propositions / 1. Propositions
Propositions commit to content, and not to any way of spelling it out [Beall/Restall]