Combining Texts

All the ideas for 'A Puzzle about Belief', 'Philosophy and the Mirror of Nature' and 'Structures and Structuralism in Phil of Maths'

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34 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]
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
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 / 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]
18. Thought / B. Mechanics of Thought / 5. Mental Files
Puzzled Pierre has two mental files about the same object [Recanati on Kripke]
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]