Combining Texts

All the ideas for 'The Gettier Problem', 'Philosophy of Logic' and 'Vagueness and Contradiction'

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46 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
The paradox of analysis says that any conceptual analysis must be either trivial or false [Sorensen]
2. Reason / B. Laws of Thought / 1. Laws of Thought
Two long understandable sentences can have an unintelligible conjunction [Sorensen]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
If you say that a contradiction is true, you change the meaning of 'not', and so change the subject [Quine]
3. Truth / B. Truthmakers / 6. Making Negative Truths
If nothing exists, no truthmakers could make 'Nothing exists' true [Sorensen]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Which toothbrush is the truthmaker for 'buy one, get one free'? [Sorensen]
3. Truth / F. Semantic Truth / 2. Semantic Truth
Talk of 'truth' when sentences are mentioned; it reminds us that reality is the point of sentences [Quine]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
Truth is redundant for single sentences; we do better to simply speak the sentence [Quine]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
We can eliminate 'or' from our basic theory, by paraphrasing 'p or q' as 'not(not-p and not-q)' [Quine]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
My logical grammar has sentences by predication, then negation, conjunction, and existential quantification [Quine]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Maybe logical truth reflects reality, but in different ways in different languages [Quine]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Quine rejects second-order logic, saying that predicates refer to multiple objects [Quine, by Hodes]
Quantifying over predicates is treating them as names of entities [Quine]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
No attempt to deny bivalence has ever been accepted [Sorensen]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded middle has three different definitions [Quine]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Quantification theory can still be proved complete if we add identity [Quine]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
We now see that generalizations use variables rather than abstract entities [Sorensen]
5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
Names are not essential, because naming can be turned into predication [Quine]
5. Theory of Logic / G. Quantification / 1. Quantification
Universal quantification is widespread, but it is definable in terms of existential quantification [Quine]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
You can't base quantification on substituting names for variables, if the irrationals cannot all be named [Quine]
Some quantifications could be false substitutionally and true objectually, because of nameless objects [Quine]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Putting a predicate letter in a quantifier is to make it the name of an entity [Quine]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A sentence is logically true if all sentences with that grammatical structure are true [Quine]
5. Theory of Logic / L. Paradox / 3. Antinomies
Denying problems, or being romantically defeated by them, won't make them go away [Sorensen]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Banning self-reference would outlaw 'This very sentence is in English' [Sorensen]
7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance
Vague words have hidden boundaries [Sorensen]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Predicates are not names; predicates are the other parties to predication [Quine]
9. Objects / A. Existence of Objects / 1. Physical Objects
A physical object is the four-dimensional material content of a portion of space-time [Quine]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
An offer of 'free coffee or juice' could slowly shift from exclusive 'or' to inclusive 'or' [Sorensen]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
Four-d objects helps predication of what no longer exists, and quantification over items from different times [Quine]
10. Modality / B. Possibility / 8. Conditionals / b. Types of conditional
Some conditionals can be explained just by negation and conjunction: not(p and not-q) [Quine]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
It is propositional attitudes which can be a priori, not the propositions themselves [Sorensen]
Attributing apriority to a proposition is attributing a cognitive ability to someone [Sorensen]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
The colour bands of the spectrum arise from our biology; they do not exist in the physics [Sorensen]
12. Knowledge Sources / B. Perception / 5. Interpretation
We are unable to perceive a nose (on the back of a mask) as concave [Sorensen]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Bayesians build near-certainty from lots of reasonably probable beliefs [Sorensen]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
Illusions are not a reason for skepticism, but a source of interesting scientific information [Sorensen]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
The negation of a meaningful sentence must itself be meaningful [Sorensen]
19. Language / A. Nature of Meaning / 8. Synonymy
Single words are strongly synonymous if their interchange preserves truth [Quine]
19. Language / D. Propositions / 4. Mental Propositions
Propositions are what settle problems of ambiguity in sentences [Sorensen]
19. Language / D. Propositions / 6. Propositions Critique
It makes no sense to say that two sentences express the same proposition [Quine]
There is no rule for separating the information from other features of sentences [Quine]
We can abandon propositions, and just talk of sentences and equivalence [Quine]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
A good way of explaining an expression is saying what conditions make its contexts true [Quine]
25. Social Practice / A. Freedoms / 4. Free market
I can buy any litre of water, but not every litre of water [Sorensen]
28. God / A. Divine Nature / 4. Divine Contradictions
God cannot experience unwanted pain, so God cannot understand human beings [Sorensen]