Combining Texts

All the ideas for 'Content Preservation', 'Philosophy and the Mirror of Nature' and 'A Mathematical Introduction to Logic (2nd)'

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46 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytical philosophy seems to have little interest in how to tell a good analysis from a bad one [Rorty]
2. Reason / C. Styles of Reason / 3. Eristic
Rational certainty may be victory in argument rather than knowledge of facts [Rorty]
3. Truth / A. Truth Problems / 9. Rejecting Truth
Rorty seems to view truth as simply being able to hold one's view against all comers [Rorty, by O'Grady]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
For James truth is "what it is better for us to believe" rather than a correct picture of reality [Rorty]
4. Formal Logic / B. Propositional Logic PL / 3. Truth Tables
Until the 1960s the only semantics was truth-tables [Enderton]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / a. Symbols of ST
'dom R' indicates the 'domain' of objects having a relation [Enderton]
'fld R' indicates the 'field' of all objects in the relation [Enderton]
'ran R' indicates the 'range' of objects being related to [Enderton]
We write F:A→B to indicate that A maps into B (the output of F on A is in B) [Enderton]
'F(x)' is the unique value which F assumes for a value of x [Enderton]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
A relation is 'symmetric' on a set if every ordered pair has the relation in both directions [Enderton]
A relation is 'transitive' if it can be carried over from two ordered pairs to a third [Enderton]
The 'powerset' of a set is all the subsets of a given set [Enderton]
Two sets are 'disjoint' iff their intersection is empty [Enderton]
A 'domain' of a relation is the set of members of ordered pairs in the relation [Enderton]
A 'relation' is a set of ordered pairs [Enderton]
A 'function' is a relation in which each object is related to just one other object [Enderton]
A function 'maps A into B' if the relating things are set A, and the things related to are all in B [Enderton]
A function 'maps A onto B' if the relating things are set A, and the things related to are set B [Enderton]
A relation is 'reflexive' on a set if every member bears the relation to itself [Enderton]
A relation satisfies 'trichotomy' if all pairs are either relations, or contain identical objects [Enderton]
A set is 'dominated' by another if a one-to-one function maps the first set into a subset of the second [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
An 'equivalence relation' is a reflexive, symmetric and transitive binary relation [Enderton]
We 'partition' a set into distinct subsets, according to each relation on its objects [Enderton]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Inference not from content, but from the fact that it was said, is 'conversational implicature' [Enderton]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Validity is either semantic (what preserves truth), or proof-theoretic (following procedures) [Enderton]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A logical truth or tautology is a logical consequence of the empty set [Enderton]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
A truth assignment to the components of a wff 'satisfy' it if the wff is then True [Enderton]
5. Theory of Logic / K. Features of Logics / 3. Soundness
A proof theory is 'sound' if its valid inferences entail semantic validity [Enderton]
5. Theory of Logic / K. Features of Logics / 4. Completeness
A proof theory is 'complete' if semantically valid inferences entail proof-theoretic validity [Enderton]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Proof in finite subsets is sufficient for proof in an infinite set [Enderton]
5. Theory of Logic / K. Features of Logics / 7. Decidability
Expressions are 'decidable' if inclusion in them (or not) can be proved [Enderton]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
For a reasonable language, the set of valid wff's can always be enumerated [Enderton]
10. Modality / B. Possibility / 8. Conditionals / f. Pragmatics of conditionals
Sentences with 'if' are only conditionals if they can read as A-implies-B [Enderton]
13. Knowledge Criteria / B. Internal Justification / 2. Pragmatic justification
If knowledge is merely justified belief, justification is social [Rorty]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]
13. Knowledge Criteria / C. External Justification / 8. Social Justification
Knowing has no definable essence, but is a social right, found in the context of conversations [Rorty]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
You can't debate about whether to have higher standards for the application of words [Rorty]
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
The mind is a property, or it is baffling [Rorty]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
Pain lacks intentionality; beliefs lack qualia [Rorty]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Is intentionality a special sort of function? [Rorty]
19. Language / A. Nature of Meaning / 1. Meaning
Nature has no preferred way of being represented [Rorty]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
Can meanings remain the same when beliefs change? [Rorty]
19. Language / B. Reference / 1. Reference theories
A theory of reference seems needed to pick out objects without ghostly inner states [Rorty]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Davidson's theory of meaning focuses not on terms, but on relations between sentences [Rorty]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Since Hegel we have tended to see a human as merely animal if it is outside a society [Rorty]