Combining Texts

All the ideas for 'Objects and Persons', 'Principia Mathematica' and 'Philosophy and the Mirror of Nature'

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


69 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]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Empirical investigation can't discover if holes exist, or if two things share a colour [Merricks]
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 / 2. Tools of Propositional Logic / e. Axioms of PL
The best known axiomatization of PL is Whitehead/Russell, with four axioms and two rules [Russell/Whitehead, by Hughes/Cresswell]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Russell saw Reducibility as legitimate for reducing classes to logic [Linsky,B on Russell/Whitehead]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Russell denies extensional sets, because the null can't be a collection, and the singleton is just its element [Russell/Whitehead, by Shapiro]
We regard classes as mere symbolic or linguistic conveniences [Russell/Whitehead]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
Lewis's 'strict implication' preserved Russell's confusion of 'if...then' with implication [Quine on Russell/Whitehead]
Russell's implication means that random sentences imply one another [Lewis,CI on Russell/Whitehead]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Russell unusually saw logic as 'interpreted' (though very general, and neutral) [Russell/Whitehead, by Linsky,B]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
In 'Principia' a new abstract theory of relations appeared, and was applied [Russell/Whitehead, by Gödel]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A real number is the class of rationals less than the number [Russell/Whitehead, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / a. Defining numbers
Russell takes numbers to be classes, but then reduces the classes to numerical quantifiers [Russell/Whitehead, by Bostock]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell and Whitehead were not realists, but embraced nearly all of maths in logic [Russell/Whitehead, by Friend]
Russell and Whitehead took arithmetic to be higher-order logic [Russell/Whitehead, by Hodes]
'Principia' lacks a precise statement of the syntax [Gödel on Russell/Whitehead]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
The ramified theory of types used propositional functions, and covered bound variables [Russell/Whitehead, by George/Velleman]
The Russell/Whitehead type theory was limited, and was not really logic [Friend on Russell/Whitehead]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
In 'Principia Mathematica', logic is exceeded in the axioms of infinity and reducibility, and in the domains [Bernays on Russell/Whitehead]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Russell and Whitehead consider the paradoxes to indicate that we create mathematical reality [Russell/Whitehead, by Friend]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
To avoid vicious circularity Russell produced ramified type theory, but Ramsey simplified it [Russell/Whitehead, by Shapiro]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Prolonged events don't seem to endure or exist at any particular time [Merricks]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
A crumbling statue can't become vague, because vagueness is incoherent [Merricks]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Intrinsic properties are those an object still has even if only that object exists [Merricks]
9. Objects / A. Existence of Objects / 1. Physical Objects
I say that most of the objects of folk ontology do not exist [Merricks]
Is swimming pool water an object, composed of its mass or parts? [Merricks]
9. Objects / A. Existence of Objects / 5. Simples
We can eliminate objects without a commitment to simples [Merricks]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
Merricks agrees that there are no composite objects, but offers a different semantics [Merricks, by Liggins]
The 'folk' way of carving up the world is not intrinsically better than quite arbitrary ways [Merricks]
If atoms 'arranged baseballwise' break a window, that analytically entails that a baseball did it [Merricks, by Thomasson]
Overdetermination: the atoms do all the causing, so the baseball causes no breakage [Merricks]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Clay does not 'constitute' a statue, as they have different persistence conditions (flaking, squashing) [Merricks]
9. Objects / C. Structure of Objects / 5. Composition of an Object
There is no visible difference between statues, and atoms arranged statuewise [Merricks]
'Unrestricted composition' says any two things can make up a third thing [Merricks]
Composition as identity is false, as identity is never between a single thing and many things [Merricks]
Composition as identity is false, as it implies that things never change their parts [Merricks]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
'Composition' says things are their parts; 'constitution' says a whole substance is an object [Merricks]
It seems wrong that constitution entails that two objects are wholly co-located [Merricks]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Objects decompose (it seems) into non-overlapping parts that fill its whole region [Merricks]
9. Objects / E. Objects over Time / 13. No Identity over Time
Eliminativism about objects gives the best understanding of the Sorites paradox [Merricks]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
An object is identical with itself, and no different indiscernible object can share that [Russell/Whitehead, by Adams,RM]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
If my counterpart is happy, that is irrelevant to whether I 'could' have been happy [Merricks]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
The 'warrant' for a belief is what turns a true belief into knowledge [Merricks]
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]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
You hold a child in your arms, so it is not mental substance, or mental state, or software [Merricks]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
Maybe the word 'I' can only refer to persons [Merricks]
16. Persons / F. Free Will / 7. Compatibilism
Free will and determinism are incompatible, since determinism destroys human choice [Merricks]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Human organisms can exercise downward causation [Merricks]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
The multiple relations theory says assertions about propositions are about their ingredients [Russell/Whitehead, by Linsky,B]
A judgement is a complex entity, of mind and various objects [Russell/Whitehead]
The meaning of 'Socrates is human' is completed by a judgement [Russell/Whitehead]
The multiple relation theory of judgement couldn't explain the unity of sentences [Morris,M on Russell/Whitehead]
Only the act of judging completes the meaning of a statement [Russell/Whitehead]
18. Thought / C. Content / 7. Narrow Content
The hypothesis of solipsism doesn't seem to be made incoherent by the nature of mental properties [Merricks]
Before Creation it is assumed that God still had many many mental properties [Merricks]
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]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead]
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]