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All the ideas for 'Ethical Studies', 'Principia Mathematica' and 'Person and Object'

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59 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Many philosophers aim to understand metaphysics by studying ourselves [Chisholm]
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
I use variables to show that each item remains the same entity throughout [Chisholm]
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
'Principia' lacks a precise statement of the syntax [Gödel on Russell/Whitehead]
Russell and Whitehead took arithmetic to be higher-order logic [Russell/Whitehead, by Hodes]
Russell and Whitehead were not realists, but embraced nearly all of maths in logic [Russell/Whitehead, by Friend]
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
Events are states of affairs that occur at certain places and times [Chisholm]
7. Existence / D. Theories of Reality / 9. States of Affairs
The mark of a state of affairs is that it is capable of being accepted [Chisholm]
A state of affairs pertains to a thing if it implies that it has some property [Chisholm]
I propose that events and propositions are two types of states of affairs [Chisholm]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Some properties can never be had, like being a round square [Chisholm]
Some properties, such as 'being a widow', can be seen as 'rooted outside the time they are had' [Chisholm]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
If some dogs are brown, that entails the properties of 'being brown' and 'being canine' [Chisholm]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Maybe we can only individuate things by relating them to ourselves [Chisholm]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
Being the tallest man is an 'individual concept', but not a haecceity [Chisholm]
A haecceity is a property had necessarily, and strictly confined to one entity [Chisholm]
9. Objects / C. Structure of Objects / 7. Substratum
A peach is sweet and fuzzy, but it doesn't 'have' those qualities [Chisholm]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
If x is ever part of y, then y is necessarily such that x is part of y at any time that y exists [Chisholm, by Simons]
9. Objects / D. Essence of Objects / 3. Individual Essences
A traditional individual essence includes all of a thing's necessary characteristics [Chisholm]
9. Objects / E. Objects over Time / 7. Intermittent Objects
Intermittence is seen in a toy fort, which is dismantled then rebuilt with the same bricks [Chisholm, by Simons]
9. Objects / F. Identity among Objects / 5. Self-Identity
The property of being identical with me is an individual concept [Chisholm]
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]
9. Objects / F. Identity among Objects / 9. Sameness
There is 'loose' identity between things if their properties, or truths about them, might differ [Chisholm]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
Do sense-data have structure, location, weight, and constituting matter? [Chisholm]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
'I feel depressed' is more like 'he runs slowly' than like 'he has a red book' [Chisholm]
If we can say a man senses 'redly', why not also 'rectangularly'? [Chisholm]
So called 'sense-data' are best seen as 'modifications' of the person experiencing them [Chisholm]
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]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Explanations have states of affairs as their objects [Chisholm]
16. Persons / B. Nature of the Self / 3. Self as Non-physical
I am picked out uniquely by my individual essence, which is 'being identical with myself' [Chisholm]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Sartre says the ego is 'opaque'; I prefer to say that it is 'transparent' [Chisholm]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
People use 'I' to refer to themselves, with the meaning of their own individual essence [Chisholm]
16. Persons / E. Rejecting the Self / 1. Self as Indeterminate
Bad theories of the self see it as abstract, or as a bundle, or as a process [Chisholm]
16. Persons / F. Free Will / 5. Against Free Will
Determinism claims that every event has a sufficient causal pre-condition [Chisholm]
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]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead]
20. Action / C. Motives for Action / 5. Action Dilemmas / c. Omissions
There are mere omissions (through ignorance, perhaps), and people can 'commit an omission' [Chisholm]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]
26. Natural Theory / A. Speculations on Nature / 1. Nature
The concept of physical necessity is basic to both causation, and to the concept of nature [Chisholm]
26. Natural Theory / C. Causation / 2. Types of cause
Some propose a distinct 'agent causation', as well as 'event causation' [Chisholm]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
A 'law of nature' is just something which is physically necessary [Chisholm]