Combining Texts

All the ideas for 'The Courtier and the Heretic', 'Logical Pluralism' and 'My Philosophical Development'

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47 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Only by analysing is progress possible in philosophy [Russell]
Analysis gives new knowledge, without destroying what we already have [Russell]
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
The theory of types makes 'Socrates and killing are two' illegitimate [Russell]
3. Truth / A. Truth Problems / 1. Truth
Some truths have true negations [Beall/Restall]
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth belongs to beliefs, not to propositions and sentences [Russell]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A truthmaker is an object which entails a sentence [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
(∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
Excluded middle must be true for some situation, not for all situations [Beall/Restall]
Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall]
Relevant logic does not abandon classical logic [Beall/Restall]
A doesn't imply A - that would be circular [Beall/Restall]
Relevant logic may reject transitivity [Beall/Restall]
It's 'relevantly' valid if all those situations make it true [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
I gradually replaced classes with properties, and they ended as a symbolic convenience [Russell]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall]
Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
The model theory of classical predicate logic is mathematics [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
There are several different consequence relations [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
A sentence follows from others if they always model it [Beall/Restall]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Leibniz bases everything on subject/predicate and substance/property propositions [Russell]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Names are meaningless unless there is an object which they designate [Russell]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
We tried to define all of pure maths using logical premisses and concepts [Russell]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalists say maths is merely conventional marks on paper, like the arbitrary rules of chess [Russell]
Formalism can't apply numbers to reality, so it is an evasion [Russell]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionism says propositions are only true or false if there is a method of showing it [Russell]
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
In 1899-1900 I adopted the philosophy of logical atomism [Russell]
Complex things can be known, but not simple things [Russell]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Facts are everything, except simples; they are either relations or qualities [Russell]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Universals can't just be words, because words themselves are universals [Russell]
10. Modality / A. Necessity / 3. Types of Necessity
Relevant necessity is always true for some situation (not all situations) [Beall/Restall]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
In epistemology we should emphasis the continuity between animal and human minds [Russell]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
Pragmatism judges by effects, but I judge truth by causes [Russell]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Empiricists seem unclear what they mean by 'experience' [Russell]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
True belief about the time is not knowledge if I luckily observe a stopped clock at the right moment [Russell]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Behaviourists struggle to explain memory and imagination, because they won't admit images [Russell]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is always predicating a property of a subject [Beall/Restall]
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
Surprise is a criterion of error [Russell]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Unverifiable propositions about the remote past are still either true or false [Russell]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall]
19. Language / D. Propositions / 1. Propositions
Propositions commit to content, and not to any way of spelling it out [Beall/Restall]
19. Language / D. Propositions / 4. Mental Propositions
You can believe the meaning of a sentence without thinking of the words [Russell]
24. Political Theory / D. Ideologies / 10. Theocracy
The politics of Leibniz was the reunification of Christianity [Stewart,M]