Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Philosophy of Logic' and 'Relativism'

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


53 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / d. Contemporary philosophy
There has been a distinct 'Social Turn' in recent philosophy, like the earlier 'Linguistic Turn' [O'Grady]
2. Reason / A. Nature of Reason / 4. Aims of Reason
Good reasoning will avoid contradiction, enhance coherence, not ignore evidence, and maximise evidence [O'Grady]
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]
2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
2. Reason / E. Argument / 7. Thought Experiments
Just as maps must simplify their subject matter, so thought has to be reductionist about reality [O'Grady]
3. Truth / A. Truth Problems / 1. Truth
The epistemic theory of truth presents it as 'that which is licensed by our best theory of reality' [O'Grady]
To say a relative truth is inexpressible in other frameworks is 'weak', while saying it is false is 'strong' [O'Grady]
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 / 6. Classical Logic
Logical relativism appears if we allow more than one legitimate logical system [O'Grady]
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
A third value for truth might be "indeterminate", or a point on a scale between 'true' and 'false' [O'Grady]
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 / 2. Logical Connectives / a. Logical connectives
Wittgenstein reduced Russell's five primitive logical symbols to a mere one [O'Grady]
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]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realists say our theories (such as wave-particle duality) give reality incompatible properties [O'Grady]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
What counts as a fact partly depends on the availability of human concepts to describe them [O'Grady]
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 / A. Existence of Objects / 5. Individuation / a. Individuation
We may say that objects have intrinsic identity conditions, but still allow multiple accounts of them [O'Grady]
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]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
Maybe developments in logic and geometry have shown that the a priori may be relative [O'Grady]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
Sense-data are only safe from scepticism if they are primitive and unconceptualised [O'Grady]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
Modern epistemology centres on debates about foundations, and about external justification [O'Grady]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Internalists say the reasons for belief must be available to the subject, and externalists deny this [O'Grady]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Coherence involves support from explanation and evidence, and also probability and confirmation [O'Grady]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Ontological relativists are anti-realists, who deny that our theories carve nature at the joints [O'Grady]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
Contextualism says that knowledge is relative to its context; 'empty' depends on your interests [O'Grady]
14. Science / B. Scientific Theories / 5. Commensurability
One may understand a realm of ideas, but be unable to judge their rationality or truth [O'Grady]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Verificationism was attacked by the deniers of the analytic-synthetic distinction, needed for 'facts' [O'Grady]
19. Language / A. Nature of Meaning / 8. Synonymy
Single words are strongly synonymous if their interchange preserves truth [Quine]
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 / E. Analyticity / 3. Analytic and Synthetic
If we abandon the analytic-synthetic distinction, scepticism about meaning may be inevitable [O'Grady]
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]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
Early Quine says all beliefs could be otherwise, but later he said we would assume mistranslation [O'Grady]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
Cryptographers can recognise that something is a language, without translating it [O'Grady]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
The chief problem for fideists is other fideists who hold contrary ideas [O'Grady]