Combining Texts

All the ideas for 'The Boundary Stones of Thought', 'Category Mistakes' and 'Art'

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


106 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt]
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
People have dreams which involve category mistakes [Magidor]
Category mistakes are either syntactic, semantic, or pragmatic [Magidor]
2. Reason / F. Fallacies / 8. Category Mistake / b. Category mistake as syntactic
Category mistakes seem to be universal across languages [Magidor]
Category mistakes as syntactic needs a huge number of fine-grained rules [Magidor]
Embedded (in 'he said that…') category mistakes show syntax isn't the problem [Magidor]
2. Reason / F. Fallacies / 8. Category Mistake / c. Category mistake as semantic
Category mistakes are meaningful, because metaphors are meaningful category mistakes [Magidor]
The normal compositional view makes category mistakes meaningful [Magidor]
If a category mistake is synonymous across two languages, that implies it is meaningful [Magidor]
If a category mistake has unimaginable truth-conditions, then it seems to be meaningless [Magidor]
Two good sentences should combine to make a good sentence, but that might be absurd [Magidor]
A good explanation of why category mistakes sound wrong is that they are meaningless [Magidor]
Category mistakes are neither verifiable nor analytic, so verificationism says they are meaningless [Magidor]
Category mistakes play no role in mental life, so conceptual role semantics makes them meaningless [Magidor]
Maybe when you say 'two is green', the predicate somehow fails to apply? [Magidor]
If category mistakes aren't syntax failure or meaningless, maybe they just lack a truth-value? [Magidor]
2. Reason / F. Fallacies / 8. Category Mistake / d. Category mistake as pragmatic
Maybe the presuppositions of category mistakes are the abilities of things? [Magidor]
Category mistakes suffer from pragmatic presupposition failure (which is not mere triviality) [Magidor]
Category mistakes because of presuppositions still have a truth value (usually 'false') [Magidor]
In 'two is green', 'green' has a presupposition of being coloured [Magidor]
'Numbers are coloured and the number two is green' seems to be acceptable [Magidor]
2. Reason / F. Fallacies / 8. Category Mistake / e. Category mistake as ontological
The presuppositions in category mistakes reveal nothing about ontology [Magidor]
3. Truth / A. Truth Problems / 1. Truth
The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt]
3. Truth / B. Truthmakers / 7. Making Modal Truths
'True at a possibility' means necessarily true if what is said had obtained [Rumfitt]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Semantics for propositions: 1) validity preserves truth 2) non-contradition 3) bivalence 4) truth tables [Rumfitt]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
'Absolute necessity' would have to rest on S5 [Rumfitt]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
It is the second-order part of intuitionistic logic which actually negates some classical theorems [Rumfitt]
Intuitionists can accept Double Negation Elimination for decidable propositions [Rumfitt]
4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
Intensional logic maps logical space, showing which predicates are compatible or incompatible [Magidor]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Most set theorists doubt bivalence for the Continuum Hypothesis, but still use classical logic [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The iterated conception of set requires continual increase in axiom strength [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
A set may well not consist of its members; the empty set, for example, is a problem [Rumfitt]
A set can be determinate, because of its concept, and still have vague membership [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
If the totality of sets is not well-defined, there must be doubt about the Power Set Axiom [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
The case for classical logic rests on its rules, much more than on the Principle of Bivalence [Rumfitt]
Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt]
If truth-tables specify the connectives, classical logic must rely on Bivalence [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence is a relation that can extended into further statements [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Normal deduction presupposes the Cut Law [Rumfitt]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
When faced with vague statements, Bivalence is not a compelling principle [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
In specifying a logical constant, use of that constant is quite unavoidable [Rumfitt]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Introduction rules give deduction conditions, and Elimination says what can be deduced [Rumfitt]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are just the assumption-free by-products of logical rules [Rumfitt]
5. Theory of Logic / K. Features of Logics / 10. Monotonicity
Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Infinitesimals do not stand in a determinate order relation to zero [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
Some suggest that the Julius Caesar problem involves category mistakes [Magidor]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
We can explain the statue/clay problem by a category mistake with a false premise [Magidor]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
An object that is not clearly red or orange can still be red-or-orange, which sweeps up problem cases [Rumfitt]
The extension of a colour is decided by a concept's place in a network of contraries [Rumfitt]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical modalities respect the actual identities of things [Rumfitt]
10. Modality / A. Necessity / 6. Logical Necessity
S5 is the logic of logical necessity [Rumfitt]
10. Modality / B. Possibility / 1. Possibility
Since possibilities are properties of the world, calling 'red' the determination of a determinable seems right [Rumfitt]
If two possibilities can't share a determiner, they are incompatible [Rumfitt]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possibilities are like possible worlds, but not fully determinate or complete [Rumfitt]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Medieval logicians said understanding A also involved understanding not-A [Rumfitt]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt]
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
Propositional attitudes relate agents to either propositions, or meanings, or sentence/utterances [Magidor]
18. Thought / C. Content / 1. Content
Two sentences with different meanings can, on occasion, have the same content [Magidor]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
To grasp 'two' and 'green', must you know that two is not green? [Magidor]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
We understand conditionals, but disagree over their truth-conditions [Rumfitt]
19. Language / C. Assigning Meanings / 1. Syntax
Generative semantics says structure is determined by semantics as well as syntactic rules [Magidor]
'John is easy to please' and 'John is eager to please' have different deep structure [Magidor]
19. Language / C. Assigning Meanings / 2. Semantics
The semantics of a sentence is its potential for changing a context [Magidor]
19. Language / C. Assigning Meanings / 4. Compositionality
Weaker compositionality says meaningful well-formed sentences get the meaning from the parts [Magidor]
Strong compositionality says meaningful expressions syntactically well-formed are meaningful [Magidor]
Understanding unlimited numbers of sentences suggests that meaning is compositional [Magidor]
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
Are there partial propositions, lacking truth value in some possible worlds? [Magidor]
19. Language / F. Communication / 3. Denial
The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
A sentence can be meaningful, and yet lack a truth value [Magidor]
In the pragmatic approach, presuppositions are assumed in a context, for successful assertion [Magidor]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
The infelicitiousness of trivial truth is explained by uninformativeness, or a static context-set [Magidor]
The infelicitiousness of trivial falsity is explained by expectations, or the loss of a context-set [Magidor]
19. Language / F. Communication / 5. Pragmatics / c. Presupposition
A presupposition is what makes an utterance sound wrong if it is not assumed? [Magidor]
A test for presupposition would be if it provoked 'hey wait a minute - I have no idea that....' [Magidor]
The best tests for presupposition are projecting it to negation, conditional, conjunction, questions [Magidor]
If both s and not-s entail a sentence p, then p is a presupposition [Magidor]
Why do certain words trigger presuppositions? [Magidor]
19. Language / F. Communication / 6. Interpreting Language / d. Metaphor
One theory says metaphors mean the same as the corresponding simile [Magidor]
Theories of metaphor divide over whether they must have literal meanings [Magidor]
The simile view of metaphors removes their magic, and won't explain why we use them [Magidor]
Maybe a metaphor is just a substitute for what is intended literally, like 'icy' for 'unemotional' [Magidor]
Gricean theories of metaphor involve conversational implicatures based on literal meanings [Magidor]
Non-cognitivist views of metaphor says there are no metaphorical meanings, just effects of the literal [Magidor]
Metaphors tend to involve category mistakes, by joining disjoint domains [Magidor]
Metaphors as substitutes for the literal misses one predicate varying with context [Magidor]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Good art produces exaltation and detachment [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The word 'beauty' leads to confusion, because it denotes distinct emotions [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Our feeling for natural beauty is different from the aesthetic emotion of art [Bell,C]
We only see landscapes as artistic if we ignore their instrumental value [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
Visual form can create a sublime mental state [Bell,C]
21. Aesthetics / B. Nature of Art / 1. Defining Art
Art is the expression of an emotion for ultimate reality [Bell,C]
Aestheticism invites artist to create beauty, but with no indication of how to do it [Bell,C]
21. Aesthetics / B. Nature of Art / 2. Art as Form
Only artists can discern significant form; other people must look to art to find it [Bell,C, by Gardner]
Maybe significant form gives us a feeling for ultimate reality [Bell,C]
Significant form is the essence of art, which I believe expresses an emotion about reality [Bell,C]
'Form' is visual relations, and it is 'significant' if it moves us aesthetically; art needs both [Bell,C, by Feagin]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
The only expression art could have is the emotion resulting from pure form [Bell,C]
21. Aesthetics / C. Artistic Issues / 2. Copies of Art
Mere copies of pictures are not significant - unless the copies are very exact [Bell,C]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
Art is distinguished by its aesthetic emotion, which produces appropriate form [Bell,C]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
Aesthetic contemplation is the best and most intense mental state [Bell,C]
Aesthetic experience is an exaltation which increases the possibilities of life [Bell,C]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Only artistic qualities matter in art, because they also have the highest moral value [Bell,C]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion sees infinite value in some things, and irrelevance in the rest [Bell,C]